1. 7 th Grade Pre-Algebra Focus 1: Proportional Reasoning Standards: 7.RP.1, 7.RP2a, 7.RP.2d Resource: Connected Math Program 2 Common Core Investigation 1: Graphing Proportions

2. Common Core Investigation 1: Graphing Proportions Mathematical Learning Goals Compute unit rates associated with ratios of fractions, including quantities measured in like or different units Decide whether two quantities are in a proportional relationship Explain what any point (x,y), including (0,0) and (1,r) where r is a unit rate, on a graph of a proportional relationship means in terms of the situation

3. Problem 1.3: Learning Target Students will extend their understanding of ratios and develop understanding of proportionality to solve problems by: 1)Continued discussions of y=kx proportional relationships

4. Problem 1.3: Karl’s Jogging

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10. Problem 1.3 Have you thought about?  How far does Karl jog in 0 hours?  How far does Rebecca jog in 0 hours?  What do these answers tell you about where the graphs of the runners’ data will cross the y-axis?

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12. Investigation Summary What is a rate? How can you find a unit rate when given a rate? When might finding a unit rate help you solve a problem? How can you tell from looking at the graph of a relationship if that relationship is proportional?

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14. Common Core Investigation 1: Graphing Proportions Mathematical Learning Goals Review & Recap Compute unit rates associated with ratios of fractions, including quantities measured in like or different units Decide whether two quantities are in a proportional relationship Explain what any point (x,y), including (0,0) and (1,r) where r is a unit rate, on a graph of a proportional relationship means in terms of the situation

15. Pre-Algebra Homework Exercises #10-15 Work and answers in your math workbook

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