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7 th Grade Pre-Algebra Focus 1: Proportional Reasoning

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. Common Core Investigation 1: Graphing Proportions Mathematical Learning Goals.

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7 th Grade Pre-Algebra Focus 1: Proportional Reasoning

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  1. 7th Grade Pre-AlgebraFocus 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 ProportionsMathematical 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: • Continued discussions of y=kx proportional relationships

  4. Problem 1.3: Karl’s Jogging

  5. Problem 1.3Have 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?

  6. 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?

  7. Common Core Investigation 1: Graphing ProportionsMathematical Learning GoalsReview & 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

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

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