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

2. Common Core Investigation 1: Graphing Proportions Mathematical Learning Goals 0 Compute unit rates associated with ratios of fractions, including quantities measured in like or different units 0 Decide whether two quantities are in a proportional relationship 0 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 1.1: Learning Target Students will extend their understanding of ratios and develop understanding of proportionality to solve problems by: 1) exploring and graphing y=kx relationships and 2) discussing the importance of the points (0,0) and (1,r), where r represents the unit rate, on the graph.

4. Getting Ready for Problem 1.1

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6. Problem 1.1: Karl’s Free Throws

8. Problem 1.1 Have you thought about?  Which variable will you place on each axis of your graph?  Does your choice of which variable to place on which axis affect the graph?  How do you find the slope of a line?

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10. Class Discussion & Sharing

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12. Problem 1.1: Learning Target Review & Recap Students will extend their understanding of ratios and develop understanding of proportionality to solve problems by: 1) exploring and graphing y=kx relationships and 2) discussing the importance of the points (0,0) and (1,r), where r represents the unit rate, on the graph.

13. Pre-Algebra Homework Exercises #1A-1F Your work and answers in your math workbook

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