{"id":109,"date":"2016-03-04T13:01:56","date_gmt":"2016-03-04T19:01:56","guid":{"rendered":"http:\/\/srcturnkey.com\/teachers\/?page_id=109"},"modified":"2020-02-20T11:22:11","modified_gmt":"2020-02-20T17:22:11","slug":"algebra-1","status":"publish","type":"page","link":"https:\/\/srcturnkey.com\/teachers\/math\/algebra-1\/","title":{"rendered":"Algebra 1"},"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>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_padding_divider=&#8221;true&#8221; toggle_icon_padding_css=&#8221;padding-right:20px;padding-left:20px;&#8221; toggle_icon_margin_divider=&#8221;true&#8221; toggle_icon_margin_css=&#8221;margin-right:25px;&#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-9869e6333879ef6\" 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-1\/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-1269e6333879f2d\" 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>[vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-9069e633387a0da\" 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-1\/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-6269e633387a0ef\" 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_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;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_padding_divider=&#8221;true&#8221; toggle_icon_padding_css=&#8221;padding-right:20px;padding-left:20px;&#8221; toggle_icon_margin_divider=&#8221;true&#8221; toggle_icon_margin_css=&#8221;margin-right:25px;&#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-9069e633387a23a\" 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-1\/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-3769e633387a24d\" 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-2569e633387a3c2\" 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-1\/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-2269e633387a3d5\" 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-8169e633387a523\" 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-1\/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-7769e633387a536\" 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-7369e633387a67a\" 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-1\/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-8769e633387a68c\" 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_padding_divider=&#8221;true&#8221; toggle_icon_padding_css=&#8221;padding-right:20px;padding-left:20px;&#8221; toggle_icon_margin_divider=&#8221;true&#8221; toggle_icon_margin_css=&#8221;margin-right:25px;&#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-2069e633387a7f5\" 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-1\/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-3669e633387a808\" 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-2169e633387a965\" 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-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-4469e633387a977\" 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-8969e633387ab04\" 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-1\/a-rei-4-10\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-369e633387ab17\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">A-REI.4.10<\/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-1169e633387ac50\" 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-1\/a-rei-2-3\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-5569e633387ac60\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">A-REI.2.3<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-6169e633387adca\" 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-1\/a-rei-3-5\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-2969e633387ade2\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">A-REI.3.5<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-8469e633387afd2\" 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-1\/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-9769e633387afe9\" 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-4869e633387b127\" 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-1\/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-7869e633387b139\" 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-4569e633387b299\" 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-1\/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-7269e633387b2ae\" 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><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-4869e633387b458\" 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-rei-4-12\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-4669e633387b471\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">A-REI.4.12<\/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_padding_divider=&#8221;true&#8221; toggle_icon_padding_css=&#8221;padding-right:20px;padding-left:20px;&#8221; toggle_icon_margin_divider=&#8221;true&#8221; toggle_icon_margin_css=&#8221;margin-right:25px;&#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-2069e633387b66a\" 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-1\/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-969e633387b685\" 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-269e633387b83a\" 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-1\/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-4369e633387b85f\" 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>[vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-1569e633387ba0f\" 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-1\/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 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-8269e633387ba2c\" 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-5469e633387bbd2\" 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-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-4569e633387bbe7\" 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-6069e633387bd12\" 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-1\/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-6469e633387bd23\" 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-5569e633387be5b\" 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-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 can be rewritten as \u2248 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-3269e633387be6d\" 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_padding_divider=&#8221;true&#8221; toggle_icon_padding_css=&#8221;padding-right:20px;padding-left:20px;&#8221; toggle_icon_margin_divider=&#8221;true&#8221; toggle_icon_margin_css=&#8221;margin-right:25px;&#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-4469e633387c42b\" 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-1\/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-6469e633387c447\" 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-669e633387c591\" 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-1\/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-5469e633387c5b9\" 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>[vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-4069e633387c797\" 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-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-2169e633387c7b6\" 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>[vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-2669e633387c8f2\" 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-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-7169e633387c906\" 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>[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_padding_divider=&#8221;true&#8221; toggle_icon_padding_css=&#8221;padding-right:20px;padding-left:20px;&#8221; toggle_icon_margin_divider=&#8221;true&#8221; toggle_icon_margin_css=&#8221;margin-right:25px;&#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-6769e633387ca53\" 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-1\/f-if-1-1\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-2269e633387ca77\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">F-IF.1.1<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-5369e633387cc55\" 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-1\/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-3069e633387cc74\" 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-4469e633387ce6c\" 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-1\/f-if-3-7a\/\" 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-6569e633387ce88\" 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-7969e633387d01f\" 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-1\/f-if-3-7e\/\" 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 showing intercepts and end behavior.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-3569e633387d034\" 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-4369e633387d15b\" 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-1\/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-5769e633387d19b\" 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-6369e633387d2d7\" 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-1\/f-if-1-2\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-8169e633387d2f5\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">F-IF.1.2<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-5369e633387d4ac\" 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-1\/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-7669e633387d4c6\" 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-1669e633387d6de\" 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-1\/f-if-3-7b\/\" 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-9669e633387d6f8\" 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-5369e633387d85a\" 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-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-5169e633387d86d\" 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_column width=&#8221;1\/3&#8243;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-8769e633387d99c\" 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-1\/f-if-1-3\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. For example, the Fibonacci sequence is defined recursively by f(0) = f(1) = 1, f(n+1) = f(n) + f(n-1) for n is greater than or equal to 1.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-6769e633387d9ae\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">F-IF.1.3<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-7369e633387dad5\" 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-1\/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-7269e633387dae6\" 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-7069e633387dbf1\" 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-1\/f-if-3-7c\/\" 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-6269e633387dc01\" 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-5069e633387dcfd\" 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-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-4369e633387dd0b\" 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_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_padding_divider=&#8221;true&#8221; toggle_icon_padding_css=&#8221;padding-right:20px;padding-left:20px;&#8221; toggle_icon_margin_divider=&#8221;true&#8221; toggle_icon_margin_css=&#8221;margin-right:25px;&#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-7469e633387de37\" 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-1\/f-le-1-1\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Distinguish between situations that can be modeled with linear functions and with exponential functions. \u2605 a. Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-7569e633387de47\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">F-LE.1.1.a<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-8069e633387df8d\" 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-1\/f-le-1-2\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table). \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-769e633387dfa0\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">F-LE.1.2<\/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-9869e633387e0a4\" 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-le-1-1-b\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Distinguish between situations that can be modeled with linear functions and with exponential functions. \u2605 b. Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-8669e633387e0b5\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">F-LE.1.1.b<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-2869e633387e1c9\" 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-1\/f-le-1-3\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function. \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-2369e633387e1d9\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">F-LE.1.3<\/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-2369e633387e310\" 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-le-1-1-c\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Distinguish between situations that can be modeled with linear functions and with exponential functions. \u2605 c. Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-4469e633387e32a\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">F-LE.1.1.c<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-4769e633387e427\" 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-1\/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-2669e633387e436\" 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_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_padding_divider=&#8221;true&#8221; toggle_icon_padding_css=&#8221;padding-right:20px;padding-left:20px;&#8221; toggle_icon_margin_divider=&#8221;true&#8221; toggle_icon_margin_css=&#8221;margin-right:25px;&#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-1369e633387ea59\" 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-1\/n-q-1-1\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays. \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-8369e633387ea79\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">N-Q.1.1<\/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-3369e633387ec07\" 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-1\/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-5069e633387ec21\" 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;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-869e633387edbf\" 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-1\/n-q-1-3\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Choose a level of accuracy appropriate to limitations on measurement when reporting quantities. \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-8069e633387edd9\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">N-Q.1.3<\/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;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_padding_divider=&#8221;true&#8221; toggle_icon_padding_css=&#8221;padding-right:20px;padding-left:20px;&#8221; toggle_icon_margin_divider=&#8221;true&#8221; toggle_icon_margin_css=&#8221;margin-right:25px;&#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-2969e633387ef51\" 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-1\/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-769e633387ef68\" 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-969e633387f0c3\" 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-1\/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-5869e633387f0dd\" 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;]<div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-6969e633387f207\" 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-1\/n-rn-2-3\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-1669e633387f21a\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">N-RN.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;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_padding_divider=&#8221;true&#8221; toggle_icon_padding_css=&#8221;padding-right:20px;padding-left:20px;&#8221; toggle_icon_margin_divider=&#8221;true&#8221; toggle_icon_margin_css=&#8221;margin-right:25px;&#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-369e633387f7d4\" 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-1\/s-id-1-1\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Represent data with plots on the real number line (dot plots, histograms, and box plots). \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-8069e633387f7ef\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">S-ID.1.1<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-1669e633387f92f\" 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\/s-id-2-5\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data. \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-1069e633387f944\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">S-ID.2.5<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-1069e633387fa51\" 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-1\/s-id-2-6-c\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. \u2605 c. Fit a linear function for a scatter plot that suggests a linear association.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-869e633387fa8a\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">S-ID.2.6.c<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-269e633387fbb4\" 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\/s-id-3-9\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Distinguish between correlation and causation. \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-2569e633387fbc5\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">S-ID.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-1969e633387fcf2\" 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-1\/s-id-1-2\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets. \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-1369e633387fd0a\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">S-ID.1.2<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-8369e633387fe15\" 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\/s-id-2-6\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. \u2605 a. Fit a function to the data; use functions fitted to data to solve problems in the context of the data. Use given functions or choose a function suggested by the context. Emphasize linear, and exponential models.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-3069e633387fe26\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">S-ID.2.6.a<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-7969e633387ff31\" 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\/s-id-3-7\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data. \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-9469e633387ff41\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">S-ID.3.7<\/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-8169e6333880030\" 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-1\/s-id-1-3\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers). \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-7169e6333880076\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">S-ID.1.3<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-8469e6333880181\" 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-1\/s-id-2-6-b\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. \u2605 b. Informally assess the fit of a function by plotting and analyzing residuals.<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-9569e6333880191\" class=\"mpc-ribbon mpc-init mpc-typography--mpc_preset_17 mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">S-ID.2.6.b<\/div><\/div><\/div><div class=\"mpc-ribbon-wrap\"><div data-id=\"mpc_image-5769e6333880285\" 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\/s-id-3-8\/\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character\">Compute (using technology) and interpret the correlation coefficient of a linear fit. \u2605<\/i><\/a><\/div><\/div><\/div><\/div><\/div><div id=\"mpc_ribbon-9569e6333880295\" class=\"mpc-ribbon mpc-init mpc-alignment--bottom-left mpc-style--classic \"><div class=\"mpc-ribbon__content\">S-ID.3.8<\/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;#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-7069e6333880831\" 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\/2015\/12\/FSA-Prac-Icon.png\" class=\"mpc-transition attachment-full\" alt=\"Math and Science Department Logo. Gray displayed on blue background.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/FSA-Prac-Icon.png 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/FSA-Prac-Icon-300x219.png 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/FSA-Prac-Icon-768x561.png 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/FSA-Prac-Icon-1024x748.png 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/FSA-Prac-Icon-90x65.png 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/FSA-Prac-Icon-580x424.png 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\/Algebra-1-EOC-Test-Prep-Resources.pdf\" target=\"_blank\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Algebra 1 EOC Practice<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=&#8221;.vc_custom_1581435498904{background-color: #8dc53e !important;}&#8221;]<\/p>\n<h5>Algebra 1 EOC Practice<\/h5>\n<p>[\/vc_column_text]<div data-id=\"mpc_image-869e6333880d08\" 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\/2015\/12\/Item-Specs.jpg\" class=\"mpc-transition attachment-full\" alt=\"Document symbol in gray on a green background.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Item-Specs.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Item-Specs-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Item-Specs-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Item-Specs-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Item-Specs-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Item-Specs-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\/PARCC_Alg-1-Math_-_Alg1_Spring_2016_Paper_Practice_Test_Answer_Doc.pdf\" target=\"_blank\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Click on this text to download the Answer KEY for the PARCC Summative for Algebra I.<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=&#8221;.vc_custom_1517259869700{background-color: #8dc53e !important;}&#8221;]<\/p>\n<h5>PARCC Spring 2016 Answer KEY Paper Based Practice<\/h5>\n<p>[\/vc_column_text][vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;]<div data-id=\"mpc_image-5569e6333880ebf\" 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\/2015\/12\/FSA-Prac-Icon.png\" class=\"mpc-transition attachment-full\" alt=\"Math and Science Department Logo. Gray displayed on blue background.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/FSA-Prac-Icon.png 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/FSA-Prac-Icon-300x219.png 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/FSA-Prac-Icon-768x561.png 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/FSA-Prac-Icon-1024x748.png 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/FSA-Prac-Icon-90x65.png 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/FSA-Prac-Icon-580x424.png 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\/Algebra-1-EOC-Unify-Test-Links.pdf\" target=\"_blank\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Three additional Algebra 1 EOC test prep resources with answer keys.<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=&#8221;.vc_custom_1582219324471{background-color: #8dc53e !important;}&#8221;]<\/p>\n<h5>More Algebra 1 EOC Practice<\/h5>\n<p>[\/vc_column_text][vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243;]<div data-id=\"mpc_image-3669e633388106f\" 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\/2015\/12\/Item-Specs.jpg\" class=\"mpc-transition attachment-full\" alt=\"Document symbol in gray on a green background.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Item-Specs.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Item-Specs-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Item-Specs-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Item-Specs-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Item-Specs-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Item-Specs-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\/PARCC_Alg-1-Math_-_Alg1_Spring_2016_Paper_PracticeTestc.pdf\" target=\"_blank\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character mpc-typography--default\">Click on this text to download the PARCC Summative Practice Test for Algebra I.<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=&#8221;.vc_custom_1517262015411{background-color: #8dc53e !important;}&#8221;]<\/p>\n<h5>PARCC Spring 2016 Paper Based Practice<\/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] 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_padding_divider=&#8221;true&#8221; toggle_icon_padding_css=&#8221;padding-right:20px;padding-left:20px;&#8221; toggle_icon_margin_divider=&#8221;true&#8221; toggle_icon_margin_css=&#8221;margin-right:25px;&#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; toggle_stretch=&#8221;true&#8221; toggle_font_preset=&#8221;default&#8221; toggle_font_color=&#8221;#333333&#8243;<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":15,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"https:\/\/srcturnkey.com\/teachers\/wp-json\/wp\/v2\/pages\/109"}],"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=109"}],"version-history":[{"count":0,"href":"https:\/\/srcturnkey.com\/teachers\/wp-json\/wp\/v2\/pages\/109\/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=109"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}