{"id":858,"date":"2016-06-27T10:07:46","date_gmt":"2016-06-27T16:07:46","guid":{"rendered":"http:\/\/srcturnkey.com\/teachers\/?page_id=858"},"modified":"2017-07-10T11:19:32","modified_gmt":"2017-07-10T17:19:32","slug":"a-rei-3-6","status":"publish","type":"page","link":"https:\/\/srcturnkey.com\/teachers\/math\/algebra-1\/a-rei-3-6\/","title":{"rendered":"A-REI.3.6"},"content":{"rendered":"<p>[vc_row][vc_column][vc_column_text]<\/p>\n<div class=\"page\" title=\"Page 3\">\n<div class=\"section\">\n<div class=\"layoutArea\">\n<div class=\"column\">\n<h3>Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.<\/h3>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p>[\/vc_column_text][vc_single_image image=&#8221;2664&#8243; img_size=&#8221;full&#8221;][\/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;2&#8243; toggle_font_transform=&#8221;capitalize&#8221; toggle_font_align=&#8221;left&#8221; toggle_title=&#8221;Formative Assessments&#8221; toggle_background_color=&#8221;#8dc53e&#8221; toggle_border_css=&#8221;border-color:#333333;border-style:solid;&#8221; toggle_margin_divider=&#8221;true&#8221; toggle_margin_css=&#8221;margin-bottom:5px;&#8221; toggle_icon=&#8221;fa fa-file-text&#8221; toggle_icon_position=&#8221;button-left&#8221; toggle_icon_border_css=&#8221;border-width:0px;&#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;Formative Assessments&#8221; hover_toggle_icon=&#8221;fa fa-file-text&#8221; hover_toggle_icon_color=&#8221;#ffffff&#8221; hover_toggle_icon_position=&#8221;button-left&#8221;][vc_column width=&#8221;1\/3&#8243;]<div data-id=\"mpc_image-4169e65f5ded04e\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse  mpc-overlay--fade\"  data-align=\"top-left\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Assessment.jpg\" class=\"mpc-transition attachment-full\" alt=\"Assessment Logo. Includes a gray clipboard on a blue background.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Assessment.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Assessment-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Assessment-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Assessment-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Assessment-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Assessment-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:\/\/www.cpalms.org\/Public\/PreviewResourceAssessment\/Preview\/59145\" target=\"_blank\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character\">Students are asked to solve a system of equations both algebraically and graphically.<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=&#8221;.vc_custom_1487705113752{margin-top: 0px !important;border-top-width: 0px !important;padding-top: 0px !important;padding-left: 10px !important;background-color: #8dc53e !important;}&#8221;]<\/p>\n<h5 style=\"text-align: left\">Solving a System of Equations &#8211; 1<\/h5>\n<p>[\/vc_column_text][\/vc_column][vc_column width=&#8221;1\/3&#8243;]<div data-id=\"mpc_image-669e65f5ded276\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse  mpc-overlay--fade\"  data-align=\"top-left\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Assessment.jpg\" class=\"mpc-transition attachment-full\" alt=\"Assessment Logo. Includes a gray clipboard on a blue background.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Assessment.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Assessment-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Assessment-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Assessment-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Assessment-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Assessment-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:\/\/www.cpalms.org\/Public\/PreviewResourceAssessment\/Preview\/57035\" target=\"_blank\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character\">Students are asked to solve a system of equations both algebraically and graphically.<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=&#8221;.vc_custom_1487705311567{margin-top: 0px !important;border-top-width: 0px !important;padding-top: 0px !important;padding-left: 10px !important;background-color: #8dc53e !important;}&#8221;]<\/p>\n<h5 style=\"text-align: left\">Solving a System of Equations &#8211; 2<\/h5>\n<p>[\/vc_column_text][\/vc_column][vc_column width=&#8221;1\/3&#8243;]<div data-id=\"mpc_image-7669e65f5ded3f4\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse  mpc-overlay--fade\"  data-align=\"top-left\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Assessment.jpg\" class=\"mpc-transition attachment-full\" alt=\"Assessment Logo. Includes a gray clipboard on a blue background.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Assessment.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Assessment-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Assessment-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Assessment-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Assessment-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Assessment-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:\/\/www.cpalms.org\/Public\/PreviewResourceAssessment\/Preview\/57039\" target=\"_blank\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character\">Students are asked to solve a system of equations both algebraically and graphically.<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=&#8221;.vc_custom_1487705371850{margin-top: 0px !important;border-top-width: 0px !important;padding-top: 0px !important;padding-left: 10px !important;background-color: #8dc53e !important;}&#8221;]<\/p>\n<h5 style=\"text-align: left\">Solving a System of Equations &#8211; 3<\/h5>\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;2&#8243; toggle_font_transform=&#8221;capitalize&#8221; toggle_font_align=&#8221;left&#8221; toggle_title=&#8221;Virtual\/Hands-on Manipulatives&#8221; toggle_background_color=&#8221;#8dc53e&#8221; toggle_border_divider=&#8221;true&#8221; toggle_border_css=&#8221;border-top:0px;border-right:0px;border-bottom:0px;border-left:0px;border-color:#333333;border-style:solid;&#8221; toggle_padding_divider=&#8221;true&#8221; toggle_margin_divider=&#8221;true&#8221; toggle_margin_css=&#8221;margin-top:0px;margin-right:0px;margin-bottom:5px;margin-left:0px;&#8221; toggle_icon=&#8221;mi mi-pan_tool&#8221; toggle_icon_color=&#8221;#333333&#8243; toggle_icon_position=&#8221;button-left&#8221; toggle_icon_border_divider=&#8221;true&#8221; toggle_icon_border_css=&#8221;border-top:0px;border-right:0px;border-bottom:0px;border-left:0px;&#8221; toggle_icon_padding_divider=&#8221;true&#8221; toggle_icon_padding_css=&#8221;padding-top:5px;padding-right:5px;padding-bottom:5px;padding-left:5px;&#8221; toggle_icon_margin_divider=&#8221;true&#8221; toggle_icon_margin_css=&#8221;margin-top:5px;margin-right:5px;margin-bottom:5px;margin-left: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;Virtual\/Hands-on Manipulatives&#8221; hover_toggle_border_divider=&#8221;true&#8221; hover_toggle_border_css=&#8221;border-top:0px;border-right:0px;border-bottom:0px;border-left:0px;&#8221; hover_toggle_icon=&#8221;mi mi-pan_tool&#8221; hover_toggle_icon_color=&#8221;#ffffff&#8221; hover_toggle_icon_position=&#8221;button-left&#8221; hover_toggle_icon_border_divider=&#8221;true&#8221; hover_toggle_icon_border_css=&#8221;border-top:0px;border-right:0px;border-bottom:0px;border-left:0px;&#8221;][vc_column width=&#8221;1\/3&#8243;]<div data-id=\"mpc_image-5769e65f5ded5a4\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse  mpc-overlay--fade\"  data-align=\"top-left\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/05\/Content-Coming.jpg\" 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srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/05\/Content-Coming.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/05\/Content-Coming-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/05\/Content-Coming-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/05\/Content-Coming-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/05\/Content-Coming-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/05\/Content-Coming-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=\"#\" target=\"_blank\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character\">We're currently 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toggle_margin_css=&#8221;margin-bottom:5px;&#8221; toggle_icon=&#8221;fa fa-question&#8221; toggle_icon_color=&#8221;#333333&#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;Assessment Questions&#8221; hover_toggle_icon=&#8221;fa fa-question&#8221; hover_toggle_icon_color=&#8221;#ffffff&#8221; hover_toggle_icon_position=&#8221;button-left&#8221;][vc_column width=&#8221;1\/3&#8243;]<div data-id=\"mpc_image-8969e65f5dedad1\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse  mpc-overlay--fade\"  data-align=\"top-left\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/06\/Assessments.jpg\" 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href=\"http:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/912.A-REI.3.6-FSA-MultiSelect-1.docx\" target=\"_blank\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character\">Click on this text to download this question.<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=&#8221;.vc_custom_1470924102948{margin-top: 0px !important;border-top-width: 0px !important;padding-top: 0px !important;padding-left: 10px !important;background-color: #8dc53e !important;}&#8221;]<\/p>\n<h5 style=\"text-align: left\">FSA Sample Question<\/h5>\n<p>[\/vc_column_text][\/vc_column][vc_column width=&#8221;1\/3&#8243;]<div data-id=\"mpc_image-6869e65f5dedc51\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse  mpc-overlay--fade\"  data-align=\"top-left\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/05\/Content-Coming.jpg\" class=\"mpc-transition attachment-full\" alt=\"Content Coming Soon Logo\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/05\/Content-Coming.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/05\/Content-Coming-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/05\/Content-Coming-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/05\/Content-Coming-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/05\/Content-Coming-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/05\/Content-Coming-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=\"#\" target=\"_blank\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character\">We're currently looking for great content to go here!<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=&#8221;.vc_custom_1461771776012{margin-top: 0px !important;border-top-width: 0px !important;padding-top: 0px !important;padding-left: 10px !important;background-color: #8dc53e !important;}&#8221;]<\/p>\n<h5 style=\"text-align: left\"><strong>Change Me\u00a0To Real Text<\/strong><\/h5>\n<p>[\/vc_column_text][\/vc_column][vc_column width=&#8221;1\/3&#8243;]<div data-id=\"mpc_image-2969e65f5deddc9\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse  mpc-overlay--fade\"  data-align=\"top-left\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/05\/Content-Coming.jpg\" class=\"mpc-transition attachment-full\" alt=\"Content Coming Soon Logo\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/05\/Content-Coming.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/05\/Content-Coming-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/05\/Content-Coming-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/05\/Content-Coming-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/05\/Content-Coming-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2016\/05\/Content-Coming-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=\"#\" target=\"_blank\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character\">We're currently looking for great content to go here!<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=&#8221;.vc_custom_1461771776012{margin-top: 0px !important;border-top-width: 0px !important;padding-top: 0px !important;padding-left: 10px !important;background-color: #8dc53e !important;}&#8221;]<\/p>\n<h5 style=\"text-align: left\"><strong>Change Me\u00a0To Real Text<\/strong><\/h5>\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;Videos of Expert Instruction&#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=&#8221;fa fa-video-camera&#8221; toggle_icon_color=&#8221;#333333&#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;Videos of Expert Instruction&#8221; hover_toggle_icon=&#8221;fa fa-video-camera&#8221; hover_toggle_icon_color=&#8221;#ffffff&#8221; hover_toggle_icon_position=&#8221;button-left&#8221;][vc_column width=&#8221;1\/3&#8243;]<div data-id=\"mpc_image-6069e65f5dedfd0\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse  mpc-overlay--fade\"  data-align=\"top-left\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/SA-ALDs-2.jpg\" class=\"mpc-transition attachment-full\" alt=\"Decorative Light Bulb. Image includes gray lightbulb on purple background.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/SA-ALDs-2.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/SA-ALDs-2-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/SA-ALDs-2-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/SA-ALDs-2-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/SA-ALDs-2-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/SA-ALDs-2-580x424.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:\/\/www.cpalms.org\/Public\/PreviewResourceUrl\/Preview\/122936\" target=\"_blank\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character\">The points of intersection of two graphs represent common solutions to both equations. Finding these intersection points is an important tool in analyzing physical and mathematical systems.<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=&#8221;.vc_custom_1499707169028{margin-top: 0px !important;border-top-width: 0px !important;padding-top: 0px !important;padding-left: 10px !important;background-color: #8dc53e !important;}&#8221;]<\/p>\n<h5>Systems of Linear Equations in Two Variables<\/h5>\n<p>[\/vc_column_text][\/vc_column][vc_column width=&#8221;1\/3&#8243;][vc_video][vc_column_text css=&#8221;.vc_custom_1461772043672{margin-top: 0px !important;border-top-width: 0px !important;padding-top: 0px !important;padding-left: 10px !important;background-color: #8dc53e !important;}&#8221;]<\/p>\n<h5><strong>Use Real Link and Title<\/strong><\/h5>\n<p>[\/vc_column_text][\/vc_column][vc_column width=&#8221;1\/3&#8243;][vc_video][vc_column_text css=&#8221;.vc_custom_1461772043672{margin-top: 0px !important;border-top-width: 0px !important;padding-top: 0px !important;padding-left: 10px !important;background-color: #8dc53e !important;}&#8221;]<\/p>\n<h5><strong>Use Real Link and Title<\/strong><\/h5>\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;Hook\/Performance Tasks&#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=&#8221;fa fa-wrench&#8221; toggle_icon_color=&#8221;#333333&#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;Hook\/Performance Tasks&#8221; hover_toggle_icon=&#8221;fa fa-wrench&#8221; hover_toggle_icon_color=&#8221;#ffffff&#8221; hover_toggle_icon_position=&#8221;button-left&#8221;][vc_column width=&#8221;1\/3&#8243;]<div data-id=\"mpc_image-6269e65f5dee1b5\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse  mpc-overlay--fade\"  data-align=\"top-left\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Achievement-Level-Descriptors.jpg\" class=\"mpc-transition attachment-full\" alt=\"Achievement Level Descriptors Logo. Includes a dark gray document symbol on a yellow background.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Achievement-Level-Descriptors.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Achievement-Level-Descriptors-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Achievement-Level-Descriptors-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Achievement-Level-Descriptors-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Achievement-Level-Descriptors-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Achievement-Level-Descriptors-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:\/\/www.cpalms.org\/Public\/PreviewResourceUpload\/Preview\/43571\" target=\"_blank\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character\">The given solutions for this task involve the creation and solving of a system of two equations and two unknowns, with the caveat that the context of the problem implies that we are interested only in non-negative integer solutions. Indeed, in the first solution, we must also restrict our attention to the case that one of the variables is further even. This aspect of the task is illustrative of mathematical practice standard MP4 (Model with mathematics), and crucial as the system has an integer solution for both situations, that is, whether or not we include the dollar on the floor in the cash box or not.<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=&#8221;.vc_custom_1496347073413{margin-top: 0px !important;border-top-width: 0px !important;padding-top: 0px !important;padding-left: 10px !important;background-color: #8dc53e !important;}&#8221;]<\/p>\n<h5 style=\"text-align: left\">Cash Box<\/h5>\n<p>[\/vc_column_text][\/vc_column][vc_column width=&#8221;1\/3&#8243;]<div data-id=\"mpc_image-6469e65f5dee35e\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse  mpc-overlay--fade\"  data-align=\"top-left\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Achievement-Level-Descriptors.jpg\" class=\"mpc-transition attachment-full\" alt=\"Achievement Level Descriptors Logo. Includes a dark gray document symbol on a yellow background.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Achievement-Level-Descriptors.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Achievement-Level-Descriptors-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Achievement-Level-Descriptors-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Achievement-Level-Descriptors-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Achievement-Level-Descriptors-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Achievement-Level-Descriptors-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:\/\/www.cpalms.org\/Public\/PreviewResourceUpload\/Preview\/42310\" target=\"_blank\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character\">The task is a modeling problem which ties in to financial decisions faced routinely by businesses, namely the balance between maintaining inventory and raising short-term capital for investment or re-investment in developing the business.<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=&#8221;.vc_custom_1496347112187{margin-top: 0px !important;border-top-width: 0px !important;padding-top: 0px !important;padding-left: 10px !important;background-color: #8dc53e !important;}&#8221;]<\/p>\n<h5 style=\"text-align: left\">Selling Fuel Oil at a Loss<\/h5>\n<p>[\/vc_column_text][\/vc_column][vc_column width=&#8221;1\/3&#8243;]<div data-id=\"mpc_image-4069e65f5dee4a8\" onclick=\"\" class=\"mpc-image mpc-init mpc-effect--brightness mpc-effect--reverse  mpc-overlay--fade\"  data-align=\"top-left\"><div class=\"mpc-item mpc-transition\"><img width=\"1500\" height=\"1096\" src=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Achievement-Level-Descriptors.jpg\" class=\"mpc-transition attachment-full\" alt=\"Achievement Level Descriptors Logo. Includes a dark gray document symbol on a yellow background.\" loading=\"lazy\" srcset=\"https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Achievement-Level-Descriptors.jpg 1500w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Achievement-Level-Descriptors-300x219.jpg 300w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Achievement-Level-Descriptors-768x561.jpg 768w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Achievement-Level-Descriptors-1024x748.jpg 1024w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Achievement-Level-Descriptors-90x65.jpg 90w, https:\/\/srcturnkey.com\/teachers\/wp-content\/uploads\/sites\/2\/2015\/12\/Achievement-Level-Descriptors-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:\/\/www.cpalms.org\/Public\/PreviewResourceUpload\/Preview\/43578\" target=\"_blank\" title=\"\"  class=\"mpc-icon-anchor\"><i class=\"mpc-item-overlay__icon mpc-type--external mpc-icon--character\">This task has some aspects of a mathematical modeling problem (SMP 4) and it also illustrates SMP 1 (Making sense of a problem). Students are given all the relevant information on the nutritional labels, but they have to figure out how to use this information. They have to come up with the idea that they can set up two equations in two unknowns to solve the problem.<\/i><\/a><\/div><\/div><\/div><\/div><\/div>[vc_column_text css=&#8221;.vc_custom_1496347155490{margin-top: 0px !important;border-top-width: 0px !important;padding-top: 0px !important;padding-left: 10px !important;background-color: #8dc53e !important;}&#8221;]<\/p>\n<h5 style=\"text-align: left\">Quinoa Pasta 2<\/h5>\n<p>[\/vc_column_text][\/vc_column][\/vc_row]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[vc_row][vc_column][vc_column_text] Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. [\/vc_column_text][vc_single_image image=&#8221;2664&#8243; img_size=&#8221;full&#8221;][\/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;2&#8243; toggle_font_transform=&#8221;capitalize&#8221; toggle_font_align=&#8221;left&#8221; toggle_title=&#8221;Formative Assessments&#8221; toggle_background_color=&#8221;#8dc53e&#8221; toggle_border_css=&#8221;border-color:#333333;border-style:solid;&#8221; toggle_margin_divider=&#8221;true&#8221; toggle_margin_css=&#8221;margin-bottom:5px;&#8221; toggle_icon=&#8221;fa fa-file-text&#8221; toggle_icon_position=&#8221;button-left&#8221; toggle_icon_border_css=&#8221;border-width:0px;&#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;Formative Assessments&#8221; hover_toggle_icon=&#8221;fa fa-file-text&#8221; hover_toggle_icon_color=&#8221;#ffffff&#8221; hover_toggle_icon_position=&#8221;button-left&#8221;][vc_column width=&#8221;1\/3&#8243;][vc_column_text css=&#8221;.vc_custom_1487705113752{margin-top:<\/p>\n","protected":false},"author":17,"featured_media":0,"parent":109,"menu_order":11,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"https:\/\/srcturnkey.com\/teachers\/wp-json\/wp\/v2\/pages\/858"}],"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\/17"}],"replies":[{"embeddable":true,"href":"https:\/\/srcturnkey.com\/teachers\/wp-json\/wp\/v2\/comments?post=858"}],"version-history":[{"count":0,"href":"https:\/\/srcturnkey.com\/teachers\/wp-json\/wp\/v2\/pages\/858\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/srcturnkey.com\/teachers\/wp-json\/wp\/v2\/pages\/109"}],"wp:attachment":[{"href":"https:\/\/srcturnkey.com\/teachers\/wp-json\/wp\/v2\/media?parent=858"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}