{"id":110,"date":"2016-03-04T13:02:07","date_gmt":"2016-03-04T19:02:07","guid":{"rendered":"http:\/\/srcturnkey.com\/teachers\/?page_id=110"},"modified":"2019-05-21T12:03:33","modified_gmt":"2019-05-21T18:03:33","slug":"algebra-2","status":"publish","type":"page","link":"https:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/","title":{"rendered":"Algebra 2"},"content":{"rendered":"<p>[vc_row][vc_column]\n<div id=\"rev_slider_3_1_wrapper\" class=\"rev_slider_wrapper fullwidthbanner-container\" data-source=\"gallery\" style=\"margin:0px auto;background:#020202;padding:0px;margin-top:0px;margin-bottom:0px;\">\n<!-- START REVOLUTION SLIDER 5.4.8.1 auto mode -->\n\t<div id=\"rev_slider_3_1\" class=\"rev_slider fullwidthabanner\" style=\"display:none;\" data-version=\"5.4.8.1\">\n<ul>\t<!-- SLIDE  -->\n\t<li data-index=\"rs-7\" data-transition=\"fade\" data-slotamount=\"default\" data-hideafterloop=\"0\" data-hideslideonmobile=\"off\"  data-easein=\"default\" data-easeout=\"default\" data-masterspeed=\"300\"  data-delay=\"2000\"  data-rotate=\"0\"  data-saveperformance=\"off\"  data-title=\"Slide\" data-param1=\"\" data-param2=\"\" data-param3=\"\" data-param4=\"\" data-param5=\"\" data-param6=\"\" data-param7=\"\" data-param8=\"\" data-param9=\"\" data-param10=\"\" data-description=\"\">\n\t\t<!-- MAIN IMAGE -->\n\t\t<img src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Turn_Math.jpg\"  alt=\"The letters for MATH in moveable type on a wooden background.\" title=\"Turn_Math\"  width=\"1280\" height=\"600\" data-bgposition=\"center center\" data-bgfit=\"cover\" class=\"rev-slidebg\" data-no-retina>\n\t\t<!-- LAYERS -->\n\n\t\t<!-- BACKGROUND VIDEO LAYER -->\n\t\t<div class=\"rs-background-video-layer\" \n\t\t\tdata-forcerewind=\"on\" \n\t\t\tdata-volume=\"mute\" \n\t\t\tdata-vimeoid=\"185064068\" \n\t\t\tdata-videoattributes=\"title=0&byline=0&portrait=0&api=1\" \n\t\t\tdata-videowidth=\"100%\" \n\t\t\tdata-videoheight=\"100%\" \n\t\t\tdata-videocontrols=\"none\" \n\t\t\tdata-videoloop=\"none\" \n\t\t\tdata-forceCover=\"1\" \n\t\t\tdata-aspectratio=\"16:9\" \n\t\t\tdata-autoplay=\"true\" \n\t\t\tdata-autoplayonlyfirsttime=\"false\" \n><\/div>\t<\/li>\n<\/ul>\n<div class=\"tp-bannertimer tp-bottom\" style=\"visibility: hidden !important;\"><\/div>\t<\/div>\n<script>var htmlDiv = document.getElementById(\"rs-plugin-settings-inline-css\"); var htmlDivCss=\"\";\r\n\t\t\t\tif(htmlDiv) {\r\n\t\t\t\t\thtmlDiv.innerHTML = htmlDiv.innerHTML + htmlDivCss;\r\n\t\t\t\t}else{\r\n\t\t\t\t\tvar htmlDiv = document.createElement(\"div\");\r\n\t\t\t\t\thtmlDiv.innerHTML = \"<style>\" + htmlDivCss + \"<\/style>\";\r\n\t\t\t\t\tdocument.getElementsByTagName(\"head\")[0].appendChild(htmlDiv.childNodes[0]);\r\n\t\t\t\t}\r\n\t\t\t<\/script>\n\t\t<script type=\"text\/javascript\">\r\nif (setREVStartSize!==undefined) setREVStartSize(\r\n\t{c: '#rev_slider_3_1', responsiveLevels: [1240,1024,1024,1024], gridwidth: [1280,1280,1280,1280], gridheight: [600,600,600,600], sliderLayout: 'auto'});\r\n\t\t\t\r\nvar revapi3,\r\n\ttpj;\t\r\n(function() {\t\t\t\r\n\tif (!\/loaded|interactive|complete\/.test(document.readyState)) document.addEventListener(\"DOMContentLoaded\",onLoad); else onLoad();\t\r\n\tfunction onLoad() {\t\t\t\t\r\n\t\tif (tpj===undefined) { tpj = jQuery; if(\"off\" == \"on\") tpj.noConflict();}\r\n\tif(tpj(\"#rev_slider_3_1\").revolution == undefined){\n\t\trevslider_showDoubleJqueryError(\"#rev_slider_3_1\");\n\t}else{\n\t\trevapi3 = tpj(\"#rev_slider_3_1\").show().revolution({\n\t\t\tsliderType:\"hero\",\n\t\t\tjsFileLocation:\"\/\/srcturnkey.com\/teachers\/wp-content\/plugins\/revslider\/public\/assets\/js\/\",\n\t\t\tsliderLayout:\"auto\",\n\t\t\tdottedOverlay:\"none\",\n\t\t\tdelay:9000,\n\t\t\tresponsiveLevels:[1240,1024,1024,1024],\n\t\t\tvisibilityLevels:[1240,1024,1024,1024],\n\t\t\tgridwidth:[1280,1280,1280,1280],\n\t\t\tgridheight:[600,600,600,600],\n\t\t\tlazyType:\"none\",\n\t\t\tshadow:0,\n\t\t\tspinner:\"spinner0\",\n\t\t\tautoHeight:\"on\",\n\t\t\tdisableProgressBar:\"on\",\n\t\t\thideThumbsOnMobile:\"off\",\n\t\t\thideSliderAtLimit:0,\n\t\t\thideCaptionAtLimit:0,\n\t\t\thideAllCaptionAtLilmit:0,\n\t\t\tdebugMode:false,\n\t\t\tfallbacks: {\n\t\t\t\tsimplifyAll:\"off\",\n\t\t\t\tdisableFocusListener:false,\n\t\t\t}\n\t\t});\n\t}; \/* END OF revapi call *\/\n\t\n }; \/* END OF ON LOAD FUNCTION *\/\r\n}()); \/* END OF WRAPPING FUNCTION *\/\r\n<\/script>\r\n\t\t<\/div><!-- END REVOLUTION SLIDER -->[vc_column_text]<\/p>\n<h3>Choose a Unit and Select a Standard:<\/h3>\n<p>[\/vc_column_text][\/vc_column][\/vc_row][vc_row toggle_enable=&#8221;true&#8221; toggle_stretch=&#8221;true&#8221; toggle_font_preset=&#8221;default&#8221; toggle_font_color=&#8221;#333333&#8243; toggle_font_size=&#8221;24&#8243; toggle_font_line_height=&#8221;1.8&#8243; toggle_font_transform=&#8221;capitalize&#8221; toggle_font_align=&#8221;left&#8221; toggle_title=&#8221;Arithmetic With Polynomials and Rational Expressions&#8221; toggle_background_color=&#8221;#8dc53e&#8221; toggle_border_css=&#8221;border-color:#333333;border-style:solid;&#8221; toggle_padding_divider=&#8221;true&#8221; toggle_margin_divider=&#8221;true&#8221; toggle_margin_css=&#8221;margin-bottom:5px;&#8221; toggle_icon_type=&#8221;character&#8221; toggle_icon_preset=&#8221;mpc_preset_65&#8243; toggle_icon_character=&#8221;APR&#8221; toggle_icon_color=&#8221;#333333&#8243; toggle_icon_size=&#8221;25&#8243; toggle_icon_position=&#8221;button-left&#8221; toggle_icon_padding_css=&#8221;padding:5px;&#8221; toggle_icon_margin_css=&#8221;margin:5px;&#8221; hover_toggle_font_color=&#8221;#ffffff&#8221; hover_toggle_font_size=&#8221;24&#8243; hover_toggle_font_align=&#8221;left&#8221; hover_toggle_title=&#8221;Arithmetic With Polynomials and Rational Expressions&#8221; hover_toggle_icon_type=&#8221;character&#8221; hover_toggle_icon_preset=&#8221;mpc_preset_65&#8243; hover_toggle_icon_character=&#8221;APR&#8221; hover_toggle_icon_color=&#8221;#ffffff&#8221; hover_toggle_icon_size=&#8221;25&#8243; hover_toggle_icon_position=&#8221;button-left&#8221;][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-3469d796f932c4f\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg\" class=\"mpc-transition attachment-full\" alt=\"The symbol for a binomial squared. A plus B in parentheses squared.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/a-apr-1-1\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-8569d796f932c89\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">A-APR.1.1<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-2169d796f932f07\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg\" class=\"mpc-transition attachment-full\" alt=\"The symbol for a binomial squared. A plus B in parentheses squared.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/a-apr-3-4\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Prove polynomial identities and use them to describe numerical relationships. For example, the polynomial identity (x\u00b2 + y\u00b2)\u00b2 = (x\u00b2 \u2013 y\u00b2)\u00b2 + (2xy)\u00b2 can be used to generate Pythagorean triples.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-5769d796f932f37\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">A-APR.3.4<\/div><\/div><\/div>[vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-269d796f93313e\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg\" class=\"mpc-transition attachment-full\" alt=\"The symbol for a binomial squared. A plus B in parentheses squared.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/a-apr-2-2\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x \u2013 a is p(a), so p(a) = 0 if and only if (x \u2013 a) is a factor of p(x).<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-769d796f93315b\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">A-APR.2.2<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-869d796f933360\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg\" class=\"mpc-transition attachment-full\" alt=\"The symbol for a binomial squared. A plus B in parentheses squared.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/a-apr-4-6\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Rewrite simple rational expressions in different forms; write a(x)\/b(x) in the form q(x) + r(x)\/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-7769d796f933380\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">A-APR.4.6<\/div><\/div><\/div>[vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-5169d796f933574\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg\" class=\"mpc-transition attachment-full\" alt=\"The symbol for a binomial squared. A plus B in parentheses squared.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/a-apr-2-3\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-3469d796f933592\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">A-APR.2.3<\/div><\/div><\/div>[vc_empty_space][\/vc_column][\/vc_row][vc_row toggle_enable=&#8221;true&#8221; toggle_stretch=&#8221;true&#8221; toggle_font_preset=&#8221;default&#8221; toggle_font_color=&#8221;#333333&#8243; toggle_font_size=&#8221;24&#8243; toggle_font_line_height=&#8221;1.8&#8243; toggle_font_transform=&#8221;capitalize&#8221; toggle_font_align=&#8221;left&#8221; toggle_title=&#8221;Creating Equations&#8221; toggle_background_color=&#8221;#8dc53e&#8221; toggle_border_css=&#8221;border-color:#333333;border-style:solid;&#8221; toggle_padding_divider=&#8221;true&#8221; toggle_margin_divider=&#8221;true&#8221; toggle_margin_css=&#8221;margin-bottom:5px;&#8221; toggle_icon_type=&#8221;character&#8221; toggle_icon_preset=&#8221;mpc_preset_65&#8243; toggle_icon_character=&#8221;CED&#8221; toggle_icon_color=&#8221;#333333&#8243; toggle_icon_size=&#8221;25&#8243; toggle_icon_position=&#8221;button-left&#8221; toggle_icon_padding_css=&#8221;padding:5px;&#8221; toggle_icon_margin_css=&#8221;margin:5px;&#8221; hover_toggle_font_color=&#8221;#ffffff&#8221; hover_toggle_font_size=&#8221;24&#8243; hover_toggle_font_align=&#8221;left&#8221; hover_toggle_title=&#8221;Creating Equations&#8221; hover_toggle_icon_type=&#8221;character&#8221; hover_toggle_icon_preset=&#8221;mpc_preset_65&#8243; hover_toggle_icon_character=&#8221;CED&#8221; hover_toggle_icon_color=&#8221;#ffffff&#8221; hover_toggle_icon_size=&#8221;25&#8243; hover_toggle_icon_position=&#8221;button-left&#8221;][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-2169d796f933788\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg\" class=\"mpc-transition attachment-full\" alt=\"The symbol for a binomial squared. A plus B in parentheses squared.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/a-ced-1-1\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational, absolute, and exponential functions. \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-3969d796f9337a4\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">A-CED.1.1<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-4269d796f933988\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg\" class=\"mpc-transition attachment-full\" alt=\"The symbol for a binomial squared. A plus B in parentheses squared.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/a-ced-1-4\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm\u2019s law V = IR to highlight resistance R. \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-8569d796f9339b4\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">A-CED.1.4<\/div><\/div><\/div>[vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-4769d796f933b9b\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg\" class=\"mpc-transition attachment-full\" alt=\"The symbol for a binomial squared. A plus B in parentheses squared.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/a-ced-1-2\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-769d796f933bb9\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">A-CED.1.2<\/div><\/div><\/div>[vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-3269d796f93d2ed\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg\" class=\"mpc-transition attachment-full\" alt=\"The symbol for a binomial squared. A plus B in parentheses squared.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/a-ced-1-3\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Represent constraints by equations or inequalities, and by systems of equations and\/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods. \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-4069d796f93d32e\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">A-CED.1.3<\/div><\/div><\/div>[vc_empty_space][\/vc_column][\/vc_row][vc_row toggle_enable=&#8221;true&#8221; toggle_stretch=&#8221;true&#8221; toggle_font_preset=&#8221;default&#8221; toggle_font_color=&#8221;#333333&#8243; toggle_font_size=&#8221;24&#8243; toggle_font_line_height=&#8221;1.8&#8243; toggle_font_transform=&#8221;capitalize&#8221; toggle_font_align=&#8221;left&#8221; toggle_title=&#8221;Reasoning With Equations and Inequalities&#8221; toggle_background_color=&#8221;#8dc53e&#8221; toggle_border_css=&#8221;border-color:#333333;border-style:solid;&#8221; toggle_padding_divider=&#8221;true&#8221; toggle_margin_divider=&#8221;true&#8221; toggle_margin_css=&#8221;margin-bottom:5px;&#8221; toggle_icon_type=&#8221;character&#8221; toggle_icon_preset=&#8221;mpc_preset_65&#8243; toggle_icon_character=&#8221;REI&#8221; toggle_icon_color=&#8221;#333333&#8243; toggle_icon_size=&#8221;25&#8243; toggle_icon_position=&#8221;button-left&#8221; toggle_icon_padding_css=&#8221;padding:5px;&#8221; toggle_icon_margin_css=&#8221;margin:5px;&#8221; hover_toggle_font_color=&#8221;#ffffff&#8221; hover_toggle_font_size=&#8221;24&#8243; hover_toggle_font_align=&#8221;left&#8221; hover_toggle_title=&#8221;Reasoning With Equations and Inequalities&#8221; hover_toggle_icon_type=&#8221;character&#8221; hover_toggle_icon_preset=&#8221;mpc_preset_65&#8243; hover_toggle_icon_character=&#8221;REI&#8221; hover_toggle_icon_color=&#8221;#ffffff&#8221; hover_toggle_icon_size=&#8221;25&#8243; hover_toggle_icon_position=&#8221;button-left&#8221;][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-10069d796f93d5b6\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg\" class=\"mpc-transition attachment-full\" alt=\"The symbol for a binomial squared. A plus B in parentheses squared.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/a-rei-1-1\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-6669d796f93d5eb\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">A-REI.1.1<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-1269d796f93d7f8\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg\" class=\"mpc-transition attachment-full\" alt=\"The symbol for a binomial squared. A plus B in parentheses squared.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/a-rei-2-4-b\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Solve quadratic equations in one variable. b. Solve quadratic equations by inspection (e.g., for x\u00b2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a \u00b1 bi for real numbers a and b.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-4469d796f93d816\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">A-REI.2.4.B<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-3069d796f93da12\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg\" class=\"mpc-transition attachment-full\" alt=\"The symbol for a binomial squared. A plus B in parentheses squared.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/a-rei-4-11\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and\/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions. \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-5069d796f93da31\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">A-REI.4.11<\/div><\/div><\/div>[vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-4469d796f93dc1f\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg\" class=\"mpc-transition attachment-full\" alt=\"The symbol for a binomial squared. A plus B in parentheses squared.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/a-rei-1-2\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-2269d796f93dc3d\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">A-REI.1.2<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-769d796f93de44\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg\" class=\"mpc-transition attachment-full\" alt=\"The symbol for a binomial squared. A plus B in parentheses squared.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/a-rei-3-6\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-7269d796f93de63\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">A-REI.3.6<\/div><\/div><\/div>[vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-9469d796f93e049\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg\" class=\"mpc-transition attachment-full\" alt=\"The symbol for a binomial squared. A plus B in parentheses squared.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/a-rei-2-4\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Solve quadratic equations in one variable. a. Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x \u2013 p)\u00b2 = q that has the same solutions. Derive the quadratic formula from this form.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-769d796f93e067\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">A-REI.2.4.A<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-6969d796f93e26a\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg\" class=\"mpc-transition attachment-full\" alt=\"The symbol for a binomial squared. A plus B in parentheses squared.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/a-rei-3-7\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = \u20133x and the circle x\u00b2 + y\u00b2 = 3.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-8969d796f93e288\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">A-REI.3.7<\/div><\/div><\/div>[vc_empty_space][\/vc_column][\/vc_row][vc_row toggle_enable=&#8221;true&#8221; toggle_stretch=&#8221;true&#8221; toggle_font_preset=&#8221;default&#8221; toggle_font_color=&#8221;#333333&#8243; toggle_font_size=&#8221;24&#8243; toggle_font_line_height=&#8221;1.8&#8243; toggle_font_transform=&#8221;capitalize&#8221; toggle_font_align=&#8221;left&#8221; toggle_title=&#8221;Seeing Structure in Expressions&#8221; toggle_background_color=&#8221;#8dc53e&#8221; toggle_border_css=&#8221;border-color:#333333;border-style:solid;&#8221; toggle_padding_divider=&#8221;true&#8221; toggle_margin_divider=&#8221;true&#8221; toggle_margin_css=&#8221;margin-bottom:5px;&#8221; toggle_icon_type=&#8221;character&#8221; toggle_icon_preset=&#8221;mpc_preset_65&#8243; toggle_icon_character=&#8221;SSE&#8221; toggle_icon_color=&#8221;#333333&#8243; toggle_icon_size=&#8221;25&#8243; toggle_icon_position=&#8221;button-left&#8221; toggle_icon_padding_css=&#8221;padding:5px;&#8221; toggle_icon_margin_css=&#8221;margin:5px;&#8221; hover_toggle_font_color=&#8221;#ffffff&#8221; hover_toggle_font_size=&#8221;24&#8243; hover_toggle_font_align=&#8221;left&#8221; hover_toggle_title=&#8221;Seeing Structure in Expressions&#8221; hover_toggle_icon_type=&#8221;character&#8221; hover_toggle_icon_preset=&#8221;mpc_preset_65&#8243; hover_toggle_icon_character=&#8221;SSE&#8221; hover_toggle_icon_color=&#8221;#ffffff&#8221; hover_toggle_icon_size=&#8221;25&#8243; hover_toggle_icon_position=&#8221;button-left&#8221;][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-7069d796f93e464\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg\" class=\"mpc-transition attachment-full\" alt=\"The symbol for a binomial squared. A plus B in parentheses squared.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/a-sse-1-1\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Interpret expressions that represent a quantity in terms of its context. \u2605 a. Interpret parts of an expression, such as terms, factors, and coefficients.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-669d796f93e494\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">A-SSE.1.1.a<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-6169d796f93e690\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg\" class=\"mpc-transition attachment-full\" alt=\"The symbol for a binomial squared. A plus B in parentheses squared.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/a-sse-2-3\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. \u2605 a. Factor a quadratic expression to reveal the zeros of the function it defines.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-569d796f93e6ae\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">A-SSE.2.3.A<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-6969d796f93e87c\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg\" class=\"mpc-transition attachment-full\" alt=\"The symbol for a binomial squared. A plus B in parentheses squared.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/a-sse-2-4\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems. For example, calculate mortgage payments. \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-4369d796f93e899\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">A-SSE.2.4<\/div><\/div><\/div>[vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-4769d796f93ea87\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg\" class=\"mpc-transition attachment-full\" alt=\"The symbol for a binomial squared. A plus B in parentheses squared.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/a-sse-1-1-b\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Interpret expressions that represent a quantity in terms of its context. \u2605 b. Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)^n as the product of P and a factor not depending on P.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-1869d796f93eaa4\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">A-SSE.1.1.b<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-4369d796f93ec7e\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg\" class=\"mpc-transition attachment-full\" alt=\"The symbol for a binomial squared. A plus B in parentheses squared.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/a-sse-2-3-b\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. \u2605 b. Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-2869d796f93ec9d\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">A-SSE.2.3.B<\/div><\/div><\/div>[vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-4469d796f93ee86\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg\" class=\"mpc-transition attachment-full\" alt=\"The symbol for a binomial squared. A plus B in parentheses squared.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/a-sse-1-2\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Use the structure of an expression to identify ways to rewrite it. For example, see x^4- y^4 as (x\u00b2)\u00b2 \u2013 (y\u00b2)\u00b2, thus recognizing it as a difference of squares that can be factored as (x\u00b2 \u2013 y\u00b2)(x\u00b2 + y\u00b2).<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-9069d796f93eea5\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">A-SSE.1.2<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-4869d796f93f086\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg\" class=\"mpc-transition attachment-full\" alt=\"The symbol for a binomial squared. A plus B in parentheses squared.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Algebra-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/a-sse-2-3-c\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. \u2605 c. Use the properties of exponents to transform expressions for exponential functions. For example the expression 1.15^t can be rewritten as (1.15^(1\/12))^12t \u2248 1.012^12t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-3469d796f93f0a2\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">A-SSE.2.3.c<\/div><\/div><\/div>[vc_empty_space][\/vc_column][\/vc_row][vc_row toggle_enable=&#8221;true&#8221; toggle_stretch=&#8221;true&#8221; toggle_font_preset=&#8221;default&#8221; toggle_font_color=&#8221;#333333&#8243; toggle_font_size=&#8221;24&#8243; toggle_font_line_height=&#8221;1.8&#8243; toggle_font_transform=&#8221;capitalize&#8221; toggle_font_align=&#8221;left&#8221; toggle_title=&#8221;Building Functions&#8221; toggle_background_color=&#8221;#8dc53e&#8221; toggle_border_css=&#8221;border-color:#333333;border-style:solid;&#8221; toggle_padding_divider=&#8221;true&#8221; toggle_margin_divider=&#8221;true&#8221; toggle_margin_css=&#8221;margin-bottom:5px;&#8221; toggle_icon_type=&#8221;character&#8221; toggle_icon_preset=&#8221;mpc_preset_65&#8243; toggle_icon_character=&#8221;BF&#8221; toggle_icon_color=&#8221;#333333&#8243; toggle_icon_size=&#8221;25&#8243; toggle_icon_position=&#8221;button-left&#8221; toggle_icon_padding_css=&#8221;padding:5px;&#8221; toggle_icon_margin_css=&#8221;margin:5px;&#8221; hover_toggle_font_color=&#8221;#ffffff&#8221; hover_toggle_font_size=&#8221;24&#8243; hover_toggle_font_align=&#8221;left&#8221; hover_toggle_title=&#8221;Building Functions&#8221; hover_toggle_icon_type=&#8221;character&#8221; hover_toggle_icon_preset=&#8221;mpc_preset_65&#8243; hover_toggle_icon_character=&#8221;BF&#8221; hover_toggle_icon_color=&#8221;#ffffff&#8221; hover_toggle_icon_size=&#8221;25&#8243; hover_toggle_icon_position=&#8221;button-left&#8221;][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-9069d796f93f7c1\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg\" class=\"mpc-transition attachment-full\" alt=\"Functions Logo. f(x)\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/f-bf-1-1\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Write a function that describes a relationship between two quantities. \u2605 a. Determine an explicit expression, a recursive process, or steps for calculation from a context.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-1469d796f93f7e4\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">F-BF.1.1.A<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-569d796f93f9e6\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg\" class=\"mpc-transition attachment-full\" alt=\"Functions Logo. f(x)\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/f-bf-1-2\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms. \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-7669d796f93fa07\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">F-BF.1.2<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-2169d796f93fc15\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg\" class=\"mpc-transition attachment-full\" alt=\"Functions Logo. f(x)\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/f-bf-2-4\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Find inverse functions. a. Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse. For example, f(x) =2 x\u00b3 or f(x) = (x+1)\/(x\u20131) for x \u2260 1.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-169d796f93fc36\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">F-BF.2.4.A<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-9469d796f93fe32\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg\" class=\"mpc-transition attachment-full\" alt=\"Functions Logo. f(x)\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/f-bf-2-4-d\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Find inverse functions. d. Produce an invertible function from a non-invertible function by restricting the domain.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-2969d796f93fe5d\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">F-BF.2.4.d<\/div><\/div><\/div>[vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-6669d796f940046\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg\" class=\"mpc-transition attachment-full\" alt=\"Functions Logo. f(x)\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/f-bf-1-1-b\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Write a function that describes a relationship between two quantities. \u2605 b. Combine standard function types using arithmetic operations. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-4469d796f940066\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">F-BF.1.1.B<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-4869d796f940261\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg\" class=\"mpc-transition attachment-full\" alt=\"Functions Logo. f(x)\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/f-bf-2-a\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Use the change of base formula.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-1469d796f940280\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">F-BF.2.a<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-2269d796f940461\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg\" class=\"mpc-transition attachment-full\" alt=\"Functions Logo. f(x)\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/f-bf-2-4-b\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Find inverse functions. b. Verify by composition that one function is the inverse of another.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-5069d796f940484\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">F-BF.2.4.b<\/div><\/div><\/div>[vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-4669d796f940681\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg\" class=\"mpc-transition attachment-full\" alt=\"Functions Logo. f(x)\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/f-bf-1-1-c\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Write a function that describes a relationship between two quantities. \u2605 c. Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-4469d796f9406a0\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">F-BF.1.1.C<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-569d796f94087b\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg\" class=\"mpc-transition attachment-full\" alt=\"Functions Logo. f(x)\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/f-bf-2-3\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-8069d796f940899\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">F-BF.2.3<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-1569d796f940ab0\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg\" class=\"mpc-transition attachment-full\" alt=\"Functions Logo. f(x)\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/f-bf-2-4-c\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Find inverse functions. c. Read values of an inverse function from a graph or a table, given that the function has an inverse.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-8069d796f940ace\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">F-BF.2.4.c<\/div><\/div><\/div>[vc_empty_space][\/vc_column][\/vc_row][vc_row toggle_enable=&#8221;true&#8221; toggle_stretch=&#8221;true&#8221; toggle_font_preset=&#8221;default&#8221; toggle_font_color=&#8221;#333333&#8243; toggle_font_size=&#8221;24&#8243; toggle_font_line_height=&#8221;1.8&#8243; toggle_font_transform=&#8221;capitalize&#8221; toggle_font_align=&#8221;left&#8221; toggle_title=&#8221;Interpreting Functions&#8221; toggle_background_color=&#8221;#8dc53e&#8221; toggle_border_css=&#8221;border-color:#333333;border-style:solid;&#8221; toggle_padding_divider=&#8221;true&#8221; toggle_margin_divider=&#8221;true&#8221; toggle_margin_css=&#8221;margin-bottom:5px;&#8221; toggle_icon_type=&#8221;character&#8221; toggle_icon_preset=&#8221;mpc_preset_65&#8243; toggle_icon_character=&#8221;IF&#8221; toggle_icon_color=&#8221;#333333&#8243; toggle_icon_size=&#8221;25&#8243; toggle_icon_position=&#8221;button-left&#8221; toggle_icon_padding_css=&#8221;padding:5px;&#8221; toggle_icon_margin_css=&#8221;margin:5px;&#8221; hover_toggle_font_color=&#8221;#ffffff&#8221; hover_toggle_font_size=&#8221;24&#8243; hover_toggle_font_align=&#8221;left&#8221; hover_toggle_title=&#8221;Interpreting Functions&#8221; hover_toggle_icon_type=&#8221;character&#8221; hover_toggle_icon_preset=&#8221;mpc_preset_65&#8243; hover_toggle_icon_character=&#8221;IF&#8221; hover_toggle_icon_color=&#8221;#ffffff&#8221; hover_toggle_icon_size=&#8221;25&#8243; hover_toggle_icon_position=&#8221;button-left&#8221;][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-2069d796f940cce\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg\" class=\"mpc-transition attachment-full\" alt=\"Functions Logo. f(x)\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/f-if-2-4\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity. \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-7969d796f940ced\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">F-IF.2.4<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-569d796f940f05\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg\" class=\"mpc-transition attachment-full\" alt=\"Functions Logo. f(x)\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/f-if-3-7\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. \u2605 a. Graph linear and quadratic functions and show intercepts, maxima, and minima.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-5869d796f940f34\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">F-IF.3.7.A<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-9869d796f94111a\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg\" class=\"mpc-transition attachment-full\" alt=\"Functions Logo. f(x)\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/f-if-3-7-d\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. \u2605 d. Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-9369d796f941139\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">F-IF.3.7.d<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-169d796f941312\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg\" class=\"mpc-transition attachment-full\" alt=\"Functions Logo. f(x)\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/f-if-3-8-b\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. b. Use the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as y = 1.02^t, y = 0.97^t, y = 1.01^12t, y = 1.2^(t\/10), and classify them as representing exponential growth or decay.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-5769d796f94133b\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">F-IF.3.8.B<\/div><\/div><\/div>[vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-9369d796f94149a\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg\" class=\"mpc-transition attachment-full\" alt=\"Functions Logo. f(x)\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/f-if-2-5\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function h(n) gives the number of person-hours it takes to assemble engines in a factory, then the positive integers would be an appropriate domain for the function. \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-7069d796f9414b2\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">F-IF.2.5<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-5869d796f941632\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg\" class=\"mpc-transition attachment-full\" alt=\"Functions Logo. f(x)\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/f-if-3-7-b\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. \u2605 b. Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-3469d796f94164f\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">F-IF.3.7.b<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-3169d796f94180f\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg\" class=\"mpc-transition attachment-full\" alt=\"Functions Logo. f(x)\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/f-if-3-7-e\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. \u2605 e. Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude, and using phase shift.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-5869d796f94182c\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">F-IF.3.7.e<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-469d796f941a01\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg\" class=\"mpc-transition attachment-full\" alt=\"Functions Logo. f(x)\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/f-if-3-9\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-4169d796f941a1f\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">F-IF.3.9<\/div><\/div><\/div>[vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-2869d796f941bca\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg\" class=\"mpc-transition attachment-full\" alt=\"Functions Logo. f(x)\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/f-if-2-6\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-5469d796f941be6\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">F-IF.2.6<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-7869d796f941dbc\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg\" class=\"mpc-transition attachment-full\" alt=\"Functions Logo. f(x)\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/f-if-3-7-c\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. \u2605 c. Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-769d796f941ddb\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">F-IF.3.7.c<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-9269d796f941fa5\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg\" class=\"mpc-transition attachment-full\" alt=\"Functions Logo. f(x)\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/f-if-3-8\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. a. Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-2069d796f941fc3\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">F-IF.3.8.A<\/div><\/div><\/div>[vc_empty_space][\/vc_column][\/vc_row][vc_row toggle_enable=&#8221;true&#8221; toggle_stretch=&#8221;true&#8221; toggle_font_preset=&#8221;default&#8221; toggle_font_color=&#8221;#333333&#8243; toggle_font_size=&#8221;24&#8243; toggle_font_line_height=&#8221;1.8&#8243; toggle_font_transform=&#8221;capitalize&#8221; toggle_font_align=&#8221;left&#8221; toggle_title=&#8221;Linear, Quadratic, and Exponential Models&#8221; toggle_background_color=&#8221;#8dc53e&#8221; toggle_border_css=&#8221;border-color:#333333;border-style:solid;&#8221; toggle_padding_divider=&#8221;true&#8221; toggle_margin_divider=&#8221;true&#8221; toggle_margin_css=&#8221;margin-bottom:5px;&#8221; toggle_icon_type=&#8221;character&#8221; toggle_icon_preset=&#8221;mpc_preset_65&#8243; toggle_icon_character=&#8221;LE&#8221; toggle_icon_color=&#8221;#333333&#8243; toggle_icon_size=&#8221;25&#8243; toggle_icon_position=&#8221;button-left&#8221; toggle_icon_padding_css=&#8221;padding:5px;&#8221; toggle_icon_margin_css=&#8221;margin:5px;&#8221; hover_toggle_font_color=&#8221;#ffffff&#8221; hover_toggle_font_size=&#8221;24&#8243; hover_toggle_font_align=&#8221;left&#8221; hover_toggle_title=&#8221;Linear, Quadratic, and Exponential Models&#8221; hover_toggle_icon_type=&#8221;character&#8221; hover_toggle_icon_preset=&#8221;mpc_preset_65&#8243; hover_toggle_icon_character=&#8221;LE&#8221; hover_toggle_icon_color=&#8221;#ffffff&#8221; hover_toggle_icon_size=&#8221;25&#8243; hover_toggle_icon_position=&#8221;button-left&#8221;][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-2369d796f942186\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg\" class=\"mpc-transition attachment-full\" alt=\"Functions Logo. f(x)\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/f-le-1-4\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">For exponential models, express as a logarithm the solution to ab^ct = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology. \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-7669d796f9421a2\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">F-LE.1.4<\/div><\/div><\/div>[vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-669d796f94232e\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg\" class=\"mpc-transition attachment-full\" alt=\"Functions Logo. f(x)\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/f-le-2-5\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Interpret the parameters in a linear or exponential function in terms of a context. \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-269d796f942347\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">F-LE.2.5<\/div><\/div><\/div>[vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;][vc_empty_space][\/vc_column][\/vc_row][vc_row toggle_enable=&#8221;true&#8221; toggle_stretch=&#8221;true&#8221; toggle_font_preset=&#8221;default&#8221; toggle_font_color=&#8221;#333333&#8243; toggle_font_size=&#8221;24&#8243; toggle_font_line_height=&#8221;1.8&#8243; toggle_font_transform=&#8221;capitalize&#8221; toggle_font_align=&#8221;left&#8221; toggle_title=&#8221;Trigonometric Functions&#8221; toggle_background_color=&#8221;#8dc53e&#8221; toggle_border_css=&#8221;border-color:#333333;border-style:solid;&#8221; toggle_padding_divider=&#8221;true&#8221; toggle_margin_divider=&#8221;true&#8221; toggle_margin_css=&#8221;margin-bottom:5px;&#8221; toggle_icon_type=&#8221;character&#8221; toggle_icon_preset=&#8221;mpc_preset_65&#8243; toggle_icon_character=&#8221;TF&#8221; toggle_icon_color=&#8221;#333333&#8243; toggle_icon_size=&#8221;25&#8243; toggle_icon_position=&#8221;button-left&#8221; toggle_icon_padding_css=&#8221;padding:5px;&#8221; toggle_icon_margin_css=&#8221;margin:5px;&#8221; hover_toggle_font_color=&#8221;#ffffff&#8221; hover_toggle_font_size=&#8221;24&#8243; hover_toggle_font_align=&#8221;left&#8221; hover_toggle_title=&#8221;Trigonometric Functions&#8221; hover_toggle_icon_type=&#8221;character&#8221; hover_toggle_icon_preset=&#8221;mpc_preset_65&#8243; hover_toggle_icon_character=&#8221;TF&#8221; hover_toggle_icon_color=&#8221;#ffffff&#8221; hover_toggle_icon_size=&#8221;25&#8243; hover_toggle_icon_position=&#8221;button-left&#8221;][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-169d796f942502\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg\" class=\"mpc-transition attachment-full\" alt=\"Functions Logo. f(x)\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/f-tf-1-1\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle; Convert between degrees and radians.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-7269d796f94251c\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">F-TF.1.1<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-10069d796f9426a6\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg\" class=\"mpc-transition attachment-full\" alt=\"Functions Logo. f(x)\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/f-tf-3-8\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Prove the Pythagorean identity sin\u00b2(\u03b8) + cos\u00b2(\u03b8) = 1 and use it to calculate trigonometric ratios.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-1769d796f9426be\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">F-TF.3.8<\/div><\/div><\/div>[vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-9069d796f942866\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg\" class=\"mpc-transition attachment-full\" alt=\"Functions Logo. f(x)\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/f-tf-1-2\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-3669d796f94287f\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">F-TF.1.2<\/div><\/div><\/div>[vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-4769d796f942a05\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg\" class=\"mpc-transition attachment-full\" alt=\"Functions Logo. f(x)\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Functions-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/f-tf-2-5\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline. \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-5769d796f942a21\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">F-TF.2.5<\/div><\/div><\/div>[vc_empty_space][\/vc_column][\/vc_row][vc_row toggle_enable=&#8221;true&#8221; toggle_stretch=&#8221;true&#8221; toggle_font_preset=&#8221;default&#8221; toggle_font_color=&#8221;#333333&#8243; toggle_font_size=&#8221;24&#8243; toggle_font_line_height=&#8221;1.8&#8243; toggle_font_transform=&#8221;capitalize&#8221; toggle_font_align=&#8221;left&#8221; toggle_title=&#8221;Expressing Geometric Properties With Equations&#8221; toggle_background_color=&#8221;#8dc53e&#8221; toggle_border_css=&#8221;border-color:#333333;border-style:solid;&#8221; toggle_padding_divider=&#8221;true&#8221; toggle_margin_divider=&#8221;true&#8221; toggle_margin_css=&#8221;margin-bottom:5px;&#8221; toggle_icon_type=&#8221;character&#8221; toggle_icon_preset=&#8221;mpc_preset_65&#8243; toggle_icon_character=&#8221;GPE&#8221; toggle_icon_color=&#8221;#333333&#8243; toggle_icon_size=&#8221;25&#8243; toggle_icon_position=&#8221;button-left&#8221; toggle_icon_padding_css=&#8221;padding:5px;&#8221; toggle_icon_margin_css=&#8221;margin:5px;&#8221; hover_toggle_font_color=&#8221;#ffffff&#8221; hover_toggle_font_size=&#8221;24&#8243; hover_toggle_font_align=&#8221;left&#8221; hover_toggle_title=&#8221;Expressing Geometric Properties With Equations&#8221; hover_toggle_icon_type=&#8221;character&#8221; hover_toggle_icon_preset=&#8221;mpc_preset_65&#8243; hover_toggle_icon_character=&#8221;GPE&#8221; hover_toggle_icon_color=&#8221;#ffffff&#8221; hover_toggle_icon_size=&#8221;25&#8243; hover_toggle_icon_position=&#8221;button-left&#8221;][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-5669d796f943034\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Geometry.jpg\" class=\"mpc-transition attachment-full\" alt=\"Geometry Logo. Includes four pictures of solids on an orange background.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Geometry.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Geometry-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Geometry-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Geometry-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Geometry-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Geometry-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/g-gpe-1-2\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Derive the equation of a parabola given a focus and directrix.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-5869d796f943056\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">G-GPE.1.2<\/div><\/div><\/div>[vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;][vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;][vc_empty_space][\/vc_column][\/vc_row][vc_row toggle_enable=&#8221;true&#8221; toggle_stretch=&#8221;true&#8221; toggle_font_preset=&#8221;default&#8221; toggle_font_color=&#8221;#333333&#8243; toggle_font_size=&#8221;24&#8243; toggle_font_line_height=&#8221;1.8&#8243; toggle_font_transform=&#8221;capitalize&#8221; toggle_font_align=&#8221;left&#8221; toggle_title=&#8221;The Complex Number System&#8221; toggle_background_color=&#8221;#8dc53e&#8221; toggle_border_css=&#8221;border-color:#333333;border-style:solid;&#8221; toggle_padding_divider=&#8221;true&#8221; toggle_margin_divider=&#8221;true&#8221; toggle_margin_css=&#8221;margin-bottom:5px;&#8221; toggle_icon_type=&#8221;character&#8221; toggle_icon_preset=&#8221;mpc_preset_65&#8243; toggle_icon_character=&#8221;CN&#8221; toggle_icon_color=&#8221;#333333&#8243; toggle_icon_size=&#8221;25&#8243; toggle_icon_position=&#8221;button-left&#8221; toggle_icon_padding_css=&#8221;padding:5px;&#8221; toggle_icon_margin_css=&#8221;margin:5px;&#8221; hover_toggle_font_color=&#8221;#ffffff&#8221; hover_toggle_font_size=&#8221;24&#8243; hover_toggle_font_align=&#8221;left&#8221; hover_toggle_title=&#8221;The Complex Number System&#8221; hover_toggle_icon_type=&#8221;character&#8221; hover_toggle_icon_preset=&#8221;mpc_preset_65&#8243; hover_toggle_icon_character=&#8221;CN&#8221; hover_toggle_icon_color=&#8221;#ffffff&#8221; hover_toggle_icon_size=&#8221;25&#8243; hover_toggle_icon_position=&#8221;button-left&#8221;][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-169d796f943553\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity.jpg\" class=\"mpc-transition attachment-full\" alt=\"Number and Quantity Logo\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/n-cn-1-1\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Know there is a complex number i such that i\u00b2 = \u20131, and every complex number has the form a + bi with a and b real.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-3969d796f943575\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">N-CN.1.1<\/div><\/div><\/div>[vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-669d796f943736\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity.jpg\" class=\"mpc-transition attachment-full\" alt=\"Number and Quantity Logo\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/n-cn-1-2\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Use the relation i\u00b2 = \u20131 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-5769d796f943752\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">N-CN.1.2<\/div><\/div><\/div>[vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-6069d796f943910\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity.jpg\" class=\"mpc-transition attachment-full\" alt=\"Number and Quantity Logo\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/n-cn-3-7\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Solve quadratic equations with real coefficients that have complex solutions.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-3369d796f94392c\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">N-CN.3.7<\/div><\/div><\/div>[vc_empty_space][\/vc_column][\/vc_row][vc_row toggle_enable=&#8221;true&#8221; toggle_stretch=&#8221;true&#8221; toggle_font_preset=&#8221;default&#8221; toggle_font_color=&#8221;#333333&#8243; toggle_font_size=&#8221;24&#8243; toggle_font_line_height=&#8221;1.8&#8243; toggle_font_transform=&#8221;capitalize&#8221; toggle_font_align=&#8221;left&#8221; toggle_title=&#8221;Quantities&#8221; toggle_background_color=&#8221;#8dc53e&#8221; toggle_border_css=&#8221;border-color:#333333;border-style:solid;&#8221; toggle_padding_divider=&#8221;true&#8221; toggle_margin_divider=&#8221;true&#8221; toggle_margin_css=&#8221;margin-bottom:5px;&#8221; toggle_icon_type=&#8221;character&#8221; toggle_icon_preset=&#8221;mpc_preset_65&#8243; toggle_icon_character=&#8221;Q&#8221; toggle_icon_color=&#8221;#333333&#8243; toggle_icon_size=&#8221;25&#8243; toggle_icon_position=&#8221;button-left&#8221; toggle_icon_padding_css=&#8221;padding:5px;&#8221; toggle_icon_margin_css=&#8221;margin:5px;&#8221; hover_toggle_font_color=&#8221;#ffffff&#8221; hover_toggle_font_size=&#8221;24&#8243; hover_toggle_font_align=&#8221;left&#8221; hover_toggle_title=&#8221;Quantities&#8221; hover_toggle_icon_type=&#8221;character&#8221; hover_toggle_icon_preset=&#8221;mpc_preset_65&#8243; hover_toggle_icon_character=&#8221;Q&#8221; hover_toggle_icon_color=&#8221;#ffffff&#8221; hover_toggle_icon_size=&#8221;25&#8243; hover_toggle_icon_position=&#8221;button-left&#8221;][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-6869d796f943ac7\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity.jpg\" class=\"mpc-transition attachment-full\" alt=\"Number and Quantity Logo\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/n-q-1-2\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Define appropriate quantities for the purpose of descriptive modeling. \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-5369d796f943ae5\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">N-Q.1.2<\/div><\/div><\/div>[vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;][vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;][vc_empty_space][\/vc_column][\/vc_row][vc_row toggle_enable=&#8221;true&#8221; toggle_stretch=&#8221;true&#8221; toggle_font_preset=&#8221;default&#8221; toggle_font_color=&#8221;#333333&#8243; toggle_font_size=&#8221;24&#8243; toggle_font_line_height=&#8221;1.8&#8243; toggle_font_transform=&#8221;capitalize&#8221; toggle_font_align=&#8221;left&#8221; toggle_title=&#8221;The Real Number System&#8221; toggle_background_color=&#8221;#8dc53e&#8221; toggle_border_css=&#8221;border-color:#333333;border-style:solid;&#8221; toggle_padding_divider=&#8221;true&#8221; toggle_margin_divider=&#8221;true&#8221; toggle_margin_css=&#8221;margin-bottom:5px;&#8221; toggle_icon_type=&#8221;character&#8221; toggle_icon_preset=&#8221;mpc_preset_65&#8243; toggle_icon_character=&#8221;RN&#8221; toggle_icon_color=&#8221;#333333&#8243; toggle_icon_size=&#8221;25&#8243; toggle_icon_position=&#8221;button-left&#8221; toggle_icon_padding_css=&#8221;padding:5px;&#8221; toggle_icon_margin_css=&#8221;margin:5px;&#8221; hover_toggle_font_color=&#8221;#ffffff&#8221; hover_toggle_font_size=&#8221;24&#8243; hover_toggle_font_align=&#8221;left&#8221; hover_toggle_title=&#8221;The Real Number System&#8221; hover_toggle_icon_type=&#8221;character&#8221; hover_toggle_icon_preset=&#8221;mpc_preset_65&#8243; hover_toggle_icon_character=&#8221;RN&#8221; hover_toggle_icon_color=&#8221;#ffffff&#8221; hover_toggle_icon_size=&#8221;25&#8243; hover_toggle_icon_position=&#8221;button-left&#8221;][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-8869d796f943cc2\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity.jpg\" class=\"mpc-transition attachment-full\" alt=\"Number and Quantity Logo\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/n-rn-1-1\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^(1\/3) to be the cube root of 5 because we want (5^(1\/3))^3 = 5^((1\/3)*3) to hold, so (5^(1\/3))^3 must equal 5.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-8169d796f943ce4\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">N-RN.1.1<\/div><\/div><\/div>[vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-2569d796f943ed2\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity.jpg\" class=\"mpc-transition attachment-full\" alt=\"Number and Quantity Logo\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Number-and-Quantity-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/n-rn-1-2\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Rewrite expressions involving radicals and rational exponents using the properties of exponents.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-2569d796f943eee\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">N-RN.1.2<\/div><\/div><\/div>[vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;][vc_empty_space][\/vc_column][\/vc_row][vc_row toggle_enable=&#8221;true&#8221; toggle_stretch=&#8221;true&#8221; toggle_font_preset=&#8221;default&#8221; toggle_font_color=&#8221;#333333&#8243; toggle_font_size=&#8221;24&#8243; toggle_font_line_height=&#8221;1.8&#8243; toggle_font_transform=&#8221;capitalize&#8221; toggle_font_align=&#8221;left&#8221; toggle_title=&#8221;Conditional Probability and the Rules of Probability&#8221; toggle_background_color=&#8221;#8dc53e&#8221; toggle_border_css=&#8221;border-color:#333333;border-style:solid;&#8221; toggle_padding_divider=&#8221;true&#8221; toggle_margin_divider=&#8221;true&#8221; toggle_margin_css=&#8221;margin-bottom:5px;&#8221; toggle_icon_type=&#8221;character&#8221; toggle_icon_preset=&#8221;mpc_preset_65&#8243; toggle_icon_character=&#8221;CP&#8221; toggle_icon_color=&#8221;#333333&#8243; toggle_icon_size=&#8221;25&#8243; toggle_icon_position=&#8221;button-left&#8221; toggle_icon_padding_css=&#8221;padding:5px;&#8221; toggle_icon_margin_css=&#8221;margin:5px;&#8221; hover_toggle_font_color=&#8221;#ffffff&#8221; hover_toggle_font_size=&#8221;24&#8243; hover_toggle_font_align=&#8221;left&#8221; hover_toggle_title=&#8221;Conditional Probability and the Rules of Probability&#8221; hover_toggle_icon_type=&#8221;character&#8221; hover_toggle_icon_preset=&#8221;mpc_preset_65&#8243; hover_toggle_icon_character=&#8221;CP&#8221; hover_toggle_icon_color=&#8221;#ffffff&#8221; hover_toggle_icon_size=&#8221;25&#8243; hover_toggle_icon_position=&#8221;button-left&#8221;][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-7969d796f944426\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability.jpg\" class=\"mpc-transition attachment-full\" alt=\"Statistics and Probability Logo. Includes four types of graphs.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/s-cp-1-1\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent. \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-3969d796f944446\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">S-CP.1.1<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-5769d796f9445dc\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability.jpg\" class=\"mpc-transition attachment-full\" alt=\"Statistics and Probability Logo. Includes four types of graphs.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/s-cp-1-4\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as a sample space to decide if events are independent and to approximate conditional probabilities. For example, collect data from a random sample of students in your school on their favorite subject among math, science, and English. Estimate the probability that a randomly selected student from your school will favor science given that the student is in tenth grade. Do the same for other subjects and compare the results. \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-9069d796f9445f7\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">S-CP.1.4<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-2769d796f944784\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability.jpg\" class=\"mpc-transition attachment-full\" alt=\"Statistics and Probability Logo. Includes four types of graphs.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/s-cp-2-7\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Apply the Addition Rule, P(A or B) = P(A) + P(B) \u2013 P(A and B), and interpret the answer in terms of the model. \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-2969d796f94479e\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">S-CP.2.7<\/div><\/div><\/div>[vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-6169d796f944913\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability.jpg\" class=\"mpc-transition attachment-full\" alt=\"Statistics and Probability Logo. Includes four types of graphs.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/s-cp-1-2\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent. \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-8569d796f94492b\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">S-CP.1.2<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-4069d796f944a99\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability.jpg\" class=\"mpc-transition attachment-full\" alt=\"Statistics and Probability Logo. Includes four types of graphs.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/s-cp-1-5\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations. For example, compare the chance of having lung cancer if you are a smoker with the chance of being a smoker if you have lung cancer. \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-8069d796f944ab1\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">S-CP.1.5<\/div><\/div><\/div>[vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-7569d796f944c2a\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability.jpg\" class=\"mpc-transition attachment-full\" alt=\"Statistics and Probability Logo. Includes four types of graphs.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/s-cp-1-3\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Understand the conditional probability of A given B as P(A and B)\/P(B), and interpret independence of A and B as saying that the conditional probability of A given B is the same as the probability of A, and the conditional probability of B given A is the same as the probability of B. \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-4669d796f944c44\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">S-CP.1.3<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-8969d796f944dd3\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability.jpg\" class=\"mpc-transition attachment-full\" alt=\"Statistics and Probability Logo. Includes four types of graphs.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/s-cp-2-6\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Find the conditional probability of A given B as the fraction of B\u2019s outcomes that also belong to A, and interpret the answer in terms of the model. \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-6569d796f944df0\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">S-CP.2.6<\/div><\/div><\/div>[vc_empty_space][\/vc_column][\/vc_row][vc_row toggle_enable=&#8221;true&#8221; toggle_stretch=&#8221;true&#8221; toggle_font_preset=&#8221;default&#8221; toggle_font_color=&#8221;#333333&#8243; toggle_font_size=&#8221;24&#8243; toggle_font_line_height=&#8221;1.8&#8243; toggle_font_transform=&#8221;capitalize&#8221; toggle_font_align=&#8221;left&#8221; toggle_title=&#8221;Making Inferences and Justifying Conclusions&#8221; toggle_background_color=&#8221;#8dc53e&#8221; toggle_border_css=&#8221;border-color:#333333;border-style:solid;&#8221; toggle_padding_divider=&#8221;true&#8221; toggle_margin_divider=&#8221;true&#8221; toggle_margin_css=&#8221;margin-bottom:5px;&#8221; toggle_icon_type=&#8221;character&#8221; toggle_icon_preset=&#8221;mpc_preset_65&#8243; toggle_icon_character=&#8221;IC&#8221; toggle_icon_color=&#8221;#333333&#8243; toggle_icon_size=&#8221;25&#8243; toggle_icon_position=&#8221;button-left&#8221; toggle_icon_padding_css=&#8221;padding:5px;&#8221; toggle_icon_margin_css=&#8221;margin:5px;&#8221; hover_toggle_font_color=&#8221;#ffffff&#8221; hover_toggle_font_size=&#8221;24&#8243; hover_toggle_font_align=&#8221;left&#8221; hover_toggle_title=&#8221;Making Inferences and Justifying Conclusions&#8221; hover_toggle_icon_type=&#8221;character&#8221; hover_toggle_icon_preset=&#8221;mpc_preset_65&#8243; hover_toggle_icon_character=&#8221;IC&#8221; hover_toggle_icon_color=&#8221;#ffffff&#8221; hover_toggle_icon_size=&#8221;25&#8243; hover_toggle_icon_position=&#8221;button-left&#8221;][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-8969d796f944fa1\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability.jpg\" class=\"mpc-transition attachment-full\" alt=\"Statistics and Probability Logo. Includes four types of graphs.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/s-ic-1-1\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Understand statistics as a process for making inferences about population parameters based on a random sample from that population. \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-9869d796f944fbe\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">S-IC.1.1<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-5669d796f945158\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability.jpg\" class=\"mpc-transition attachment-full\" alt=\"Statistics and Probability Logo. Includes four types of graphs.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/s-ic-2-4\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character\">Use data from a sample survey to estimate a population mean or proportion; develop a margin of error through the use of simulation models for random sampling. \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-5769d796f945178\" class=\"mpc-ribbon mpc-init mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">S-IC.2.4<\/div><\/div><\/div>[vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-7069d796f945324\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability.jpg\" class=\"mpc-transition attachment-full\" alt=\"Statistics and Probability Logo. Includes four types of graphs.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/s-ic-1-2\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation. For example, a model says a spinning coin falls heads up with probability 0.5. Would a result of 5 tails in a row cause you to question the model?<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-1869d796f945340\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">S-IC.1.2<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-5969d796f9454dd\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability.jpg\" class=\"mpc-transition attachment-full\" alt=\"Statistics and Probability Logo. Includes four types of graphs.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/s-ic-2-5\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant. \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-2569d796f9454f9\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">S-IC.2.5<\/div><\/div><\/div>[vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-9569d796f94573a\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability.jpg\" class=\"mpc-transition attachment-full\" alt=\"Statistics and Probability Logo. Includes four types of graphs.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/s-ic-2-3\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Recognize the purposes of and differences among sample surveys, experiments, and observational studies; explain how randomization relates to each. \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-9969d796f945757\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">S-IC.2.3<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-5069d796f9458f6\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability.jpg\" class=\"mpc-transition attachment-full\" alt=\"Statistics and Probability Logo. Includes four types of graphs.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/s-ic-2-6\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Evaluate reports based on data. \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-7769d796f945912\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">S-IC.2.6<\/div><\/div><\/div>[vc_empty_space][\/vc_column][\/vc_row][vc_row toggle_enable=&#8221;true&#8221; toggle_stretch=&#8221;true&#8221; toggle_font_preset=&#8221;default&#8221; toggle_font_color=&#8221;#333333&#8243; toggle_font_size=&#8221;24&#8243; toggle_font_line_height=&#8221;1.8&#8243; toggle_font_transform=&#8221;capitalize&#8221; toggle_font_align=&#8221;left&#8221; toggle_title=&#8221;Interpreting Categorical and Quantitative Data&#8221; toggle_background_color=&#8221;#8dc53e&#8221; toggle_border_css=&#8221;border-color:#333333;border-style:solid;&#8221; toggle_padding_divider=&#8221;true&#8221; toggle_margin_divider=&#8221;true&#8221; toggle_margin_css=&#8221;margin-bottom:5px;&#8221; toggle_icon_type=&#8221;character&#8221; toggle_icon_preset=&#8221;mpc_preset_65&#8243; toggle_icon_character=&#8221;ID&#8221; toggle_icon_color=&#8221;#333333&#8243; toggle_icon_size=&#8221;25&#8243; toggle_icon_position=&#8221;button-left&#8221; toggle_icon_padding_css=&#8221;padding:5px;&#8221; toggle_icon_margin_css=&#8221;margin:5px;&#8221; hover_toggle_font_color=&#8221;#ffffff&#8221; hover_toggle_font_size=&#8221;24&#8243; hover_toggle_font_align=&#8221;left&#8221; hover_toggle_title=&#8221;Interpreting Categorical and Quantitative Data&#8221; hover_toggle_icon_type=&#8221;character&#8221; hover_toggle_icon_preset=&#8221;mpc_preset_65&#8243; hover_toggle_icon_character=&#8221;ID&#8221; hover_toggle_icon_color=&#8221;#ffffff&#8221; hover_toggle_icon_size=&#8221;25&#8243; hover_toggle_icon_position=&#8221;button-left&#8221;][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-5669d796f945a9c\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability.jpg\" class=\"mpc-transition attachment-full\" alt=\"Statistics and Probability Logo. Includes four types of graphs.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Statistics-and-Probability-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/math\/algebra-2\/s-id-1-4\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve. \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-9969d796f945aca\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">S-ID.1.4<\/div><\/div><\/div>[vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;][vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;][vc_empty_space][\/vc_column][\/vc_row][vc_row toggle_enable=&#8221;true&#8221; toggle_stretch=&#8221;true&#8221; toggle_font_preset=&#8221;default&#8221; toggle_font_color=&#8221;#333333&#8243; toggle_font_size=&#8221;24&#8243; toggle_font_line_height=&#8221;1.8&#8243; toggle_font_transform=&#8221;capitalize&#8221; toggle_font_align=&#8221;left&#8221; toggle_title=&#8221;Using Probability to Make Decisions&#8221; toggle_background_color=&#8221;#8dc53e&#8221; toggle_border_css=&#8221;border-color:#333333;border-style:solid;&#8221; toggle_padding_divider=&#8221;true&#8221; toggle_margin_divider=&#8221;true&#8221; toggle_margin_css=&#8221;margin-bottom:5px;&#8221; toggle_icon_type=&#8221;character&#8221; toggle_icon_preset=&#8221;mpc_preset_65&#8243; toggle_icon_character=&#8221;MD&#8221; toggle_icon_color=&#8221;#333333&#8243; toggle_icon_size=&#8221;25&#8243; toggle_icon_position=&#8221;button-left&#8221; toggle_icon_padding_css=&#8221;padding:5px;&#8221; toggle_icon_margin_css=&#8221;margin:5px;&#8221; hover_toggle_font_color=&#8221;#ffffff&#8221; hover_toggle_font_size=&#8221;24&#8243; hover_toggle_font_align=&#8221;left&#8221; hover_toggle_title=&#8221;Using Probability to Make Decisions&#8221; hover_toggle_icon_type=&#8221;character&#8221; hover_toggle_icon_preset=&#8221;mpc_preset_65&#8243; hover_toggle_icon_character=&#8221;MD&#8221; hover_toggle_icon_color=&#8221;#ffffff&#8221; hover_toggle_icon_size=&#8221;25&#8243; hover_toggle_icon_position=&#8221;button-left&#8221;][vc_column width=&#8221;1\/3&#8243;][vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;][vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;][vc_empty_space][\/vc_column][\/vc_row][vc_row toggle_enable=&#8221;true&#8221; toggle_stretch=&#8221;true&#8221; toggle_font_preset=&#8221;default&#8221; toggle_font_color=&#8221;#ffffff&#8221; toggle_font_size=&#8221;24&#8243; toggle_font_line_height=&#8221;1.8&#8243; toggle_font_transform=&#8221;capitalize&#8221; toggle_font_align=&#8221;left&#8221; toggle_title=&#8221;Additional Course Resources&#8221; toggle_background_color=&#8221;#c1c1c1&#8243; toggle_border_css=&#8221;border-color:#333333;border-style:solid;&#8221; toggle_padding_divider=&#8221;true&#8221; toggle_margin_divider=&#8221;true&#8221; toggle_margin_css=&#8221;margin-bottom:5px;&#8221; toggle_icon=&#8221;fa fa-star&#8221; toggle_icon_color=&#8221;#ffffff&#8221; toggle_icon_size=&#8221;25&#8243; toggle_icon_position=&#8221;button-left&#8221; toggle_icon_padding_css=&#8221;padding:5px;&#8221; toggle_icon_margin_css=&#8221;margin:5px;&#8221; hover_toggle_font_color=&#8221;#ffffff&#8221; hover_toggle_font_size=&#8221;24&#8243; hover_toggle_font_align=&#8221;left&#8221; hover_toggle_title=&#8221;Additional Course Resources&#8221; hover_toggle_icon=&#8221;fa fa-star&#8221; hover_toggle_icon_color=&#8221;#ffffff&#8221; hover_toggle_icon_size=&#8221;25&#8243; hover_toggle_icon_position=&#8221;button-left&#8221;][vc_column width=&#8221;1\/3&#8243;]<div data-id=\"mpc_image-7569d796f946187\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master.jpg\" class=\"mpc-transition attachment-full\" alt=\"Document Icon in dark gray on a light gray background.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Alg-II-FAIM-2015-Form-1A.doc\" target=\"_blank\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">FAIM Assessment Form 1A<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=&#8221;.vc_custom_1475521343910{background-color: #8dc53e !important;}&#8221;]<\/p>\n<h5>FAIM Form 1A<\/h5>\n<p>[\/vc_column_text]<div data-id=\"mpc_image-6369d796f946340\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master.jpg\" class=\"mpc-transition attachment-full\" alt=\"Document Icon in dark gray on a light gray background.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Alg-II-FAIM-2015-Form-2B.doc\" target=\"_blank\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">FAIM Assessment Form 2B<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=&#8221;.vc_custom_1475521538902{background-color: #8dc53e !important;}&#8221;]<\/p>\n<h5>FAIM Form 2B<\/h5>\n<p>[\/vc_column_text]<div data-id=\"mpc_image-6969d796f9464ca\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master.jpg\" class=\"mpc-transition attachment-full\" alt=\"Document Icon in dark gray on a light gray background.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Alg-II-FAIM-AnsKEY-Form-2A.pdf\" target=\"_blank\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">FAIM Answer Key Form 2A<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=&#8221;.vc_custom_1475521707367{background-color: #8dc53e !important;}&#8221;]<\/p>\n<h5>FAIM Answer Key 2A<\/h5>\n<p>[\/vc_column_text][vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;]<div data-id=\"mpc_image-8869d796f946631\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master.jpg\" class=\"mpc-transition attachment-full\" alt=\"Document Icon in dark gray on a light gray background.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Alg-II-FAIM-2015-Form-1B.doc\" target=\"_blank\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">FAIM Assessment Form 1B<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=&#8221;.vc_custom_1475521441251{background-color: #8dc53e !important;}&#8221;]<\/p>\n<h5>FAIM Form 1B<\/h5>\n<p>[\/vc_column_text]<div data-id=\"mpc_image-5369d796f955ad8\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master.jpg\" class=\"mpc-transition attachment-full\" alt=\"Document Icon in dark gray on a light gray background.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Alg-II-FAIM-AnsKEY-Form-1A.pdf\" target=\"_blank\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">FAIM Answer Key Form 1A<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=&#8221;.vc_custom_1475521586914{background-color: #8dc53e !important;}&#8221;]<\/p>\n<h5>FAIM Answer Key 1A<\/h5>\n<p>[\/vc_column_text]<div data-id=\"mpc_image-7469d796f955cad\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master.jpg\" class=\"mpc-transition attachment-full\" alt=\"Document Icon in dark gray on a light gray background.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Alg-II-FAIM-AnsKEY-Form-2B.pdf\" target=\"_blank\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">FAIM Answer Key Form 2B<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=&#8221;.vc_custom_1475521757229{background-color: #8dc53e !important;}&#8221;]<\/p>\n<h5>FAIM Answer Key 2B<\/h5>\n<p>[\/vc_column_text][vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;]<div data-id=\"mpc_image-8669d796f955e31\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master.jpg\" class=\"mpc-transition attachment-full\" alt=\"Document Icon in dark gray on a light gray background.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Alg-II-FAIM-2015-Form-2A.doc\" target=\"_blank\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">FAIM Assessment Form 2A<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=&#8221;.vc_custom_1475521482929{background-color: #8dc53e !important;}&#8221;]<\/p>\n<h5>FAIM Form 2A<\/h5>\n<p>[\/vc_column_text]<div data-id=\"mpc_image-1969d796f955fb1\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse mpc-fullwidth  mpc-overlay--slide-up\"  data-align=\"top-center\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master.jpg\" class=\"mpc-transition attachment-full\" alt=\"Document Icon in dark gray on a light gray background.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/03\/Site-Icon-Master-580x424.jpg 580w\" sizes=\"(max-width: 1500px) 100vw, 1500px\" \/><div class=\"mpc-item-overlay mpc-transition\"><div class=\"mpc-overlay--vertical-wrap\"><div class=\"mpc-overlay--vertical\"><a href=\"http:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Alg-II-FAIM-AnsKEY-Form-1B.pdf\" target=\"_blank\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">FAIM Answer Key Form 1B<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=&#8221;.vc_custom_1475521651522{background-color: #8dc53e !important;}&#8221;]<\/p>\n<h5>FAIM Answer Key 1B<\/h5>\n<p>[\/vc_column_text][vc_empty_space][\/vc_column][\/vc_row]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[vc_row][vc_column][vc_column_text] Choose a Unit and Select a Standard: [\/vc_column_text][\/vc_column][\/vc_row][vc_row toggle_enable=&#8221;true&#8221; toggle_stretch=&#8221;true&#8221; toggle_font_preset=&#8221;default&#8221; toggle_font_color=&#8221;#333333&#8243; toggle_font_size=&#8221;24&#8243; toggle_font_line_height=&#8221;1.8&#8243; toggle_font_transform=&#8221;capitalize&#8221; toggle_font_align=&#8221;left&#8221; toggle_title=&#8221;Arithmetic With Polynomials and Rational Expressions&#8221; toggle_background_color=&#8221;#8dc53e&#8221; toggle_border_css=&#8221;border-color:#333333;border-style:solid;&#8221; toggle_padding_divider=&#8221;true&#8221; toggle_margin_divider=&#8221;true&#8221; toggle_margin_css=&#8221;margin-bottom:5px;&#8221; toggle_icon_type=&#8221;character&#8221; toggle_icon_preset=&#8221;mpc_preset_65&#8243; toggle_icon_character=&#8221;APR&#8221; toggle_icon_color=&#8221;#333333&#8243; toggle_icon_size=&#8221;25&#8243; toggle_icon_position=&#8221;button-left&#8221; toggle_icon_padding_css=&#8221;padding:5px;&#8221; toggle_icon_margin_css=&#8221;margin:5px;&#8221; hover_toggle_font_color=&#8221;#ffffff&#8221; hover_toggle_font_size=&#8221;24&#8243; hover_toggle_font_align=&#8221;left&#8221; hover_toggle_title=&#8221;Arithmetic With Polynomials and Rational Expressions&#8221; hover_toggle_icon_type=&#8221;character&#8221; hover_toggle_icon_preset=&#8221;mpc_preset_65&#8243; hover_toggle_icon_character=&#8221;APR&#8221; hover_toggle_icon_color=&#8221;#ffffff&#8221; hover_toggle_icon_size=&#8221;25&#8243; hover_toggle_icon_position=&#8221;button-left&#8221;][vc_column width=&#8221;1\/3&#8243;][vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;][vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;][vc_empty_space][\/vc_column][\/vc_row][vc_row toggle_enable=&#8221;true&#8221;<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":15,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"https:\/\/srcturnkey.com\/teachers\/wp-json\/wp\/v2\/pages\/110"}],"collection":[{"href":"https:\/\/srcturnkey.com\/teachers\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/srcturnkey.com\/teachers\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/srcturnkey.com\/teachers\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/srcturnkey.com\/teachers\/wp-json\/wp\/v2\/comments?post=110"}],"version-history":[{"count":0,"href":"https:\/\/srcturnkey.com\/teachers\/wp-json\/wp\/v2\/pages\/110\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/srcturnkey.com\/teachers\/wp-json\/wp\/v2\/pages\/15"}],"wp:attachment":[{"href":"https:\/\/srcturnkey.com\/teachers\/wp-json\/wp\/v2\/media?parent=110"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}