ࡱ> rtq "0bjbjWW Aj=="(ttW\1(h,0000000?3500000>+|J,P%_E+0001+~66$J,J,6/LB6x,0016t }: Mathematics Common Core State Standards Curriculum Map George County School District2014-2015 Grade Level: 8th grade Unit 10: Patterns of Bivariate Data Essential Questions: How do you use information from a table to construct a scatter plot? How do the data points guide you to draw a line of best fit? Is the relationship between the bivariate data positive, negative, or no correlation? How can you use information from a scatter plot to write an equation of a line of best fit? How can the equation be used to help solve problems related to the bivariate data? How can you represent bivariate data using a two-way table? How can explain two-way tables to summarize the data on two categorical variables collected from the same subjects?  Suggested Days: 14Vocabulary: Clustering Correlation Line of best fit Scatter plot Bivariate Continuous Graph Discrete Graph Outliers 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.F.5 Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally. 8.SP.1 Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association. 8.SP.2 Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line and informally assess the model fit by judging the closeness of the data points to the line. 8.SP.3 Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. For example, in a linear model for a biology experiment, interpret a slope of 1.5 cm/hr. as meaning that an additional hour of sunlight each day is associated with an additional 1.5 cm in mature plant height. 8.SP.4 Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible association between the two variables. For example, collect data from students in your class on whether or not they have a curfew on school nights and whether or not they have assigned chores at home. Is there evidence that those who have a curfew also tend to have chores?Holt McDougal Mathematics Grade 8 Go Math 8th Grade Unpacking JBHM 8th Grade Exploration in Core Math  HYPERLINK "http://ccssmath.org/?page_id=721" http://ccssmath.org/?page_id=721 (8.F.5)  HYPERLINK "http://ccssmath.org/?page_id=747" http://ccssmath.org/?page_id=747 (8.SP.1)  HYPERLINK "http://www.sophia.org/ccss-math-standard-8f5-pathway" http://www.sophia.org/ccss-math-standard-8f5-pathway (8.F.5)  HYPERLINK "https://learnzillion.com/lessons/1839-describe-the-rate-of-change-on-an-interval-using-a-graph" https://learnzillion.com/lessons/1839-describe-the-rate-of-change-on-an-interval-using-a-graph (8.F.5) (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: evaluate and describe properties based on a given graph. sketch a graph by analyzing a situation that has been described verbally. Interpret a scatter plot as linear or nonlinear. interpret the graph as strong correlation (clustering) or weak (outliers). construct a scatter plot on a plane using two variables. predict future outcomes using a scatter plot. suggest a linear association informally and assess the model fit by judging the closeness of the data point to the line. use the line of best fit to determine and equation in two variables for the data (y=mx+b) justify and defend the accuracy of m predictions. NOTE: Websites:  HYPERLINK "https://grade8commoncoremath.wikispaces.hcpss.org/Unit+3+Analyzing+Functions+and+Equations" https://grade8commoncoremath.wikispaces.hcpss.org/Unit+3+Analyzing+Functions+and+Equations (8.F)  HYPERLINK "https://grade8commoncoremath.wikispaces.hcpss.org/Unit+4+Patterns+of+Association" https://grade8commoncoremath.wikispaces.hcpss.org/Unit+4+Patterns+of+Association (8.SP)  HYPERLINK "http://www.opusmath.com/common-core-standards/8.f.5-describe-qualitatively-the-functional-relationship-between-two-quantities" http://www.opusmath.com/common-core-standards/8.f.5-describe-qualitatively-the-functional-relationship-between-two-quantities (8.F.5)  HYPERLINK "http://www.insidemathematics.org/assets/common-core-math-tasks/party.pdf" http://www.insidemathematics.org/assets/common-core-math-tasks/party.pdf (performance task for 8.F.5)  HYPERLINK "http://www.orglib.com/8.f.5-activities-viewTestQuestions_0d1520c2bb_de328a83be124177b801f885a460bdaf_1369.html" http://www.orglib.com/8.f.5-activities-viewTestQuestions_0d1520c2bb_de328a83be124177b801f885a460bdaf_1369.html (8.F.5)  HYPERLINK "http://hardingmathspecialist.pbworks.com/w/page/54376556/8th%20Grade%20Resources" http://hardingmathspecialist.pbworks.com/w/page/54376556/8th%20Grade%20Resources (resources for all standards)  HYPERLINK "http://schools.nyc.gov/NR/rdonlyres/5A4617E5-DDF2-4D0F-94B7-BD397E5F3725/139658/NYCDOE_G8_Math_200Freestyle_FINAL1.pdf" http://schools.nyc.gov/NR/rdonlyres/5A4617E5-DDF2-4D0F-94B7-BD397E5F3725/139658/NYCDOE_G8_Math_200Freestyle_FINAL1.pdf (performance task)  HYPERLINK "http://www.yummymath.com/2011/academy-awards/" http://www.yummymath.com/2011/academy-awards/ (8.SP.1,2,3)  HYPERLINK "http://www.orglib.com/8.sp.1-standard-formative-assessment-viewtestquestions_0d1520c2bb_4b265ce83a654ce996b722e90f47c853_426.html" http://www.orglib.com/8.sp.1-standard-formative-assessment-viewtestquestions_0d1520c2bb_4b265ce83a654ce996b722e90f47c853_426.html (8.SP.1)  HYPERLINK "https://www.khanacademy.org/commoncore/grade-8-SP" https://www.khanacademy.org/commoncore/grade-8-SP  HYPERLINK "https://www.teachingchannel.org/videos/stem-lesson-ideas-bungee-jump" https://www.teachingchannel.org/videos/stem-lesson-ideas-bungee-jump (8.SP.1,2)  HYPERLINK "http://www.free-test-online.com/ccss/grade8/grade8_statistics.html" http://www.free-test-online.com/ccss/grade8/grade8_statistics.html (8.SP.1,2,3,4)  HYPERLINK "http://www.teacherspayteachers.com/Product/Grade-8-Common-Core-Math-Worksheets-Statistics-and-Probability-8SP-1-4-594491" http://www.teacherspayteachers.com/Product/Grade-8-Common-Core-Math-Worksheets-Statistics-and-Probability-8SP-1-4-594491 (8.SP.1-4)  HYPERLINK "http://www.mathworksheetsland.com/8/18funs.html" http://www.mathworksheetsland.com/8/18funs.html (8.F.5)  HYPERLINK "http://www.mathworksheetsland.com/8/28scat.html" http://www.mathworksheetsland.com/8/28scat.html (8.SP.1)  HYPERLINK "http://www.mathworksheetsland.com/8/29line.html" http://www.mathworksheetsland.com/8/29line.html (8.SP.2)  HYPERLINK "http://www.mathworksheetsland.com/8/30slopeint.html" http://www.mathworksheetsland.com/8/30slopeint.html (8.SP.3)  HYPERLINK "http://www.mathworksheetsland.com/8/31patass.html" http://www.mathworksheetsland.com/8/31patass.html (8.SP.4)  HYPERLINK "http://www.youtube.com/watch?v=r5dR2AqaRcg" http://www.youtube.com/watch?v=r5dR2AqaRcg (8.SP.2)  HYPERLINK "http://www.cpalms.org/Public/PreviewStandard/Preview/5512#/#icts-toggle" http://www.cpalms.org/Public/PreviewStandard/Preview/5512#/#icts-toggle (looks good)  HYPERLINK "http://www.ixl.com/standards/tennessee/math/grade-8" http://www.ixl.com/standards/tennessee/math/grade-8 (has all of the standards/connects to IXL)  HYPERLINK "https://learnzillion.com/lessons/1188-interpret-a-scatter-plot-by-identifying-clusters-and-outliers" https://learnzillion.com/lessons/1188-interpret-a-scatter-plot-by-identifying-clusters-and-outliers  HYPERLINK "http://www.shmoop.com/common-core-standards/ccss-8-sp-3.html" http://www.shmoop.com/common-core-standards/ccss-8-sp-3.html (8.SP.3)  HYPERLINK "http://www.youtube.com/watch?v=TFzLXThqVNQ" http://www.youtube.com/watch?v=TFzLXThqVNQ (8.SP.4)  HYPERLINK "http://www.snakeriver.org/wp-content/uploads/2013/09/GradesKCommonCoreMathStandardsPostersCCSSOverviewChecklists1.pdf" http://www.snakeriver.org/wp-content/uploads/2013/09/GradesKCommonCoreMathStandardsPostersCCSSOverviewChecklists1.pdf (posters)  HYPERLINK "http://walch.com/samplepages/070010-Common-Core-Grade-8-Math-Task.pdf" http://walch.com/samplepages/070010-Common-Core-Grade-8-Math-Task.pdf (sample of some tasks for 8th grade)  HYPERLINK "http://www.teacherspayteachers.com/Product/Grade-8-Common-Core-Math-Worksheets-Statistics-and-Probability-8SP-1-4-594491" http://www.teacherspayteachers.com/Product/Grade-8-Common-Core-Math-Worksheets-Statistics-and-Probability-8SP-1-4-594491 ($8.50)  HYPERLINK 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