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

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

Problem 1.2: Learning Target Students will extend their understanding of ratios and develop understanding of proportionality to solve problems by:  Converting rates to unit rates

Key Vocabulary Terms

Getting Ready for Problem 1.2

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Problem 1.2: Road Trip & Basketballs

Problem 1.2 Have you thought about?  How can converting rates to unit rates make comparing those rates easier?

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Class Discussion & Sharing

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Key Vocabulary Term PROPORTIONAL RELATIONSHIP  Two quantities are in a proportional relationship if a change in one quantities corresponds to a change by the same factor in the other quantity.  The ratios between the quantities do not change when the quantities themselves change.

Problem 1.2: Learning Target Review & Recap Students will extend their understanding of ratios and develop understanding of proportionality to solve problems by:  Converting rates to unit rates

Pre-Algebra Homework Exercises #3, 5, 7, 9 Work & answers in your math workbook

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