Grade 8 Pre-Algebra (Common Core Mathematics 8 (CCM-8)) Starting Points Unit 4: Patterns of Association Essential Questions: o Visually, how do a non-linear association and a linear association differ on a scatter plot? o What can data clustering reveal on a scatter plot? o When estimating line of best fit, how should the line be positioned? o What does the line of best fit represent? o How can the line of best fit be used to make predictions about a set of data? o What kind of data is displayed in a two-way table? o What types of information can be gathered from a two-way table? Curriculum Standards: Investigate patterns of association in bivariate data. 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. 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. 3. Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. 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 two variables. Approximate Length of Unit: 20 days Standard(s) 8.SP.A.1, 2 Days 8-10 Notes Big ideas: Construct scatter plots and describe the patterns between quantities. Use vocabulary such as clustering, outliers, positive/negative/linear/non-linear association to describe the graphs Informally find the line of best fit and use it to make predictions about data Resources: Task: What is the Relationship Online: Graph Creator Lesson: Line of Best Fit Illuminations Lesson: Line of Best Fit Assessment Items: Illustrative Mathematics: Texting and Grades 1, Hand Span and Height, Animal Brains, Birds’ Eggs 8.SP.A.3 4-5 Big ideas: Write equations for line of best fit (estimated) Use equations to solve and interpret real-world scenarios 8.SP.A.4 3-5 Resources: Lesson: Using and Interpreting Linear Models Task: Obesity Rates Online Practice: Writing Equations for Line of Best Fit Assessment Items: Illustrative Mathematics: US Airports-Assessment Variation Big ideas: Construct and interpret two-way tables summarizing two categorical variables Understand that there can be a pattern of association in categorical data as well as numerical data Resources: Illustrative Math: Music and Sports Assessment Items: Illustrative Mathematics: What’s Your Favorite Subject This document represents one sample starting points for the unit. It is not allinclusive and is only one planning tool. Please refer to the wiki for more information and resources.