ࡱ> \^[ %bjbjWW AT==\\lT 8s]]]]8h K"$[88[[]][F]][b]euv.0 6,%4%bb%L 6B,nK4 [[[[%\ e: Mathematics Common Core State Standards Curriculum Map George County School District2014-2015 Grade Level: 8th grade Unit : 3 Slope Essential Questions: How does slope relate to unit rate? How do slopes of proportional relationships relate to one another? How can you use similar triangles to verify the slope of a line? How is the equation y=mx derived? How is the equation y=mx+b derived? What are the differences between linear and non-linear functions? Suggested Days: 15 Vocabulary: Constant of variation Direct variation Linear equation Slope Slope-intercept form Point-slope form Standard form x-intercept y-intercept  Mathematical Practices: Highlighted practices to be assessed. 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning.  Content StandardResourcesAssessments8.EE.5 Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed. 8.EE.6 Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b. 8.F.3 Holt McDougal Mathematics Grade 8 Go Math 8th Grade Unpacking JBHM 8th Grade Exploration in Core Math  HYPERLINK "http://katm.org/wp/wp-content/uploads/flipbooks/8thFlipFinaledited.pdf" http://katm.org/wp/wp-content/uploads/flipbooks/8thFlipFinaledited.pdf (flip book)  HYPERLINK "http://www.teacherspayteachers.com/Product/Math-Activities-8th-Grade-Proportions-Slope-ymxb-CCSS-8EE56-844549" http://www.teacherspayteachers.com/Product/Math-Activities-8th-Grade-Proportions-Slope-ymxb-CCSS-8EE56-844549 ( $4.00)  HYPERLINK "http://www.livebinders.com/play/play?id=459558" http://www.livebinders.com/play/play?id=459558 (Great resources (More websites are on the next page)Pre-test Formative assessments: Observations, anecdotal notes, admit/exit slips, math journals, peer/self assessments, think-pair-share, quizzes Post test (summative) I Can Statements: explain the slope-intercept form of an equation. identify the non-linear is not straight use tables and equations to categorize functions as linear or non-linear. identify that slope is unit rate. determine the slope of lines and determine which is the steepest. compare and contrast proportional relationships from a graph, table or description. determine the slope between two points. explain why triangles are similar justify why the slope is the same between any two points on a non-vertical line. NOTE: Websites:  HYPERLINK "http://www.shmoop.com/common-core-standards/ccss-8-ee-5.html" http://www.shmoop.com/common-core-standards/ccss-8-ee-5.html (8.E.E.5)  HYPERLINK "http://www.shmoop.com/common-core-standards/ccss-8-ee-6.html" http://www.shmoop.com/common-core-standards/ccss-8-ee-6.html (8.E.E.6)  HYPERLINK "http://www.sharemylesson.com/article.aspx?storyCode=50005645" http://www.sharemylesson.com/article.aspx?storyCode=50005645  HYPERLINK "https://learnzillion.com/common_core/math/8" https://learnzillion.com/common_core/math/8  HYPERLINK "http://www.explorelearning.com/index.cfm?method=cResource.dspStandardCorrelation&id=1506" http://www.explorelearning.com/index.cfm?method=cResource.dspStandardCorrelation&id=1506  HYPERLINK "https://www.engageny.org/.../01-8.ee_teachers_guide_lesson_5-1v7.pdf" https://www.engageny.org/.../01-8.ee_teachers_guide_lesson_5-1v7.pdf?.  HYPERLINK "http://www.opusmath.com/common-core-standards/8.ee.5-graph-proportional-relationships-interpreting-the-unit-rate-as-the-slope" http://www.opusmath.com/common-core-standards/8.ee.5-graph-proportional-relationships-interpreting-the-unit-rate-as-the-slope (8.E.E.5)  HYPERLINK "http://www.opusmath.com/common-core-standards/8.ee.6-use-similar-triangles-to-explain-why-the-slope-m-is-the-same-between-any" http://www.opusmath.com/common-core-standards/8.ee.6-use-similar-triangles-to-explain-why-the-slope-m-is-the-same-between-any (8.E.E.6)  HYPERLINK "http://maccss.ncdpi.wikispaces.net/file/view/CCSSMathTasks-Grade8.pdf" http://maccss.ncdpi.wikispaces.net/file/view/CCSSMathTasks-Grade8.pdf  HYPERLINK "http://www.free-test-online.com/ccss/grade8/grade8_equations.html" http://www.free-test-online.com/ccss/grade8/grade8_equations.html  HYPERLINK "https://grade8commoncoremath.wikispaces.hcpss.org/Unit+3+Analyzing+Functions+and+Equations" https://grade8commoncoremath.wikispaces.hcpss.org/Unit+3+Analyzing+Functions+and+Equations (great website)  HYPERLINK "http://schools.nyc.gov/NR/rdonlyres/1F533263-05A2-4723-9423-95ABC6C1CB9A/130937/NYCDOE_G8_Math_SlipperySlopes_Final.pdf" http://schools.nyc.gov/NR/rdonlyres/1F533263-05A2-4723-9423-95ABC6C1CB9A/130937/NYCDOE_G8_Math_SlipperySlopes_Final.pdf (performance task)  HYPERLINK "http://sbac.portal.airast.org/wp-content/uploads/2013/08/G8_Practice-Test-Scoring-Guide-5.14.14-Final.pdf" http://sbac.portal.airast.org/wp-content/uploads/2013/08/G8_Practice-Test-Scoring-Guide-5.14.14-Final.pdf (Smarter Balance)  HYPERLINK "http://www.edinformatics.com/testing/new_york_state/grade-8-math.pdf" http://www.edinformatics.com/testing/new_york_state/grade-8-math.pdf (more test questions)  HYPERLINK "http://www.shmoop.com/common-core-standards/ccss-8-f-3.html" http://www.shmoop.com/common-core-standards/ccss-8-f-3.html (8.F.A.3)  HYPERLINK "http://education-portal.com/academy/course/common-core-math-standards-grade-8-functions.html" http://education-portal.com/academy/course/common-core-math-standards-grade-8-functions.html (videos)  HYPERLINK "http://betterlesson.com/common_core/browse/490/ccss-math-content-8-f-a-3-interpret-the-equation-y-mx-b-as-defining-a-linear-function-whose-graph-is-a-straight-line-give-exampl" http://betterlesson.com/common_core/browse/490/ccss-math-content-8-f-a-3-interpret-the-equation-y-mx-b-as-defining-a-linear-function-whose-graph-is-a-straight-line-give-exampl (8.F.A.3)  HYPERLINK "http://njcore.org/ccss/ccssmathcontent8fa3" http://njcore.org/ccss/ccssmathcontent8fa3  HYPERLINK "https://grade8commoncoremath.wikispaces.hcpss.org/Unit+3+Analyzing+Functions+and+Equations" https://grade8commoncoremath.wikispaces.hcpss.org/Unit+3+Analyzing+Functions+and+Equations (great website)  HYPERLINK "http://www.youtube.com/watch?v=5O2oQdFq5Lk" http://www.youtube.com/watch?v=5O2oQdFq5Lk  HYPERLINK "http://www.internet4classrooms.com/common_core/interpret_equation_y_mx_functions_eighth_8th_grade_math_mathematics.htm" http://www.internet4classrooms.com/common_core/interpret_equation_y_mx_functions_eighth_8th_grade_math_mathematics.htm  HYPERLINK "http://www.mathworksheetsland.com/8/14eqstr.html" http://www.mathworksheetsland.com/8/14eqstr.html (8.F.A.3)  HYPERLINK "http://www.mathworksheetsland.com/8/7graph.html" http://www.mathworksheetsland.com/8/7graph.html (8.E.E.5)  HYPERLINK "http://www.mathworksheetsland.com/8/8simtri.html" http://www.mathworksheetsland.com/8/8simtri.html (8.E.E.6)  T^_`klmnpvwxy~ø{gVB1B ho5CJOJQJ\^JaJ&h ho5CJOJQJ\^JaJ ho5CJOJQJ\^JaJ&hN6qho5CJOJQJ\^JaJhU#shl(MOJQJ^JhU#shl(MCJaJhoho5CJH*\aJho5CJ\aJhFU5CJ\aJhvc5CJ\aJhU#shl(M5CJ\aJ hU#shl(MhK!hl(M5OJQJ^Jho5OJQJ^Jhdqhl(M5OJQJ^J7_`wxy ld$7$8$H$Ifgdvcd$7$8$H$Ifgdod$Ifgd$cPDkd$IfK$L$lExxx644 laytN6q $Ifgd$cPK$ $Ifgd$cPgdl(M  ~  òԉ{lXG9-h#khl(MCJ\aJh#khl(M5CJ\aJ h;3h%@CJOJQJ^JaJ&h^(ho5CJH*OJQJ^JaJho5CJOJQJ^JaJh%@hl(M5OJQJ^J hU#shl(M ho5CJOJQJ\^JaJ hv5CJOJQJ\^JaJ h#k5CJOJQJ\^JaJ hl(M5CJOJQJ\^JaJhU#shl(MOJQJ^J hohvcCJOJQJ^JaJhoCJOJQJ^JaJ  , 3 H Y g l^PPPPPPPd$Ifgdod$Ifgd$cPkd^$$Ifl7F-8@ t06    44 laytrdL g s  # 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