7th Grade Pre-Algebra

Focus 1: Proportional Reasoning

Standards: 7.RP.1, 7.RP2a, 7.RP.2dResource: Connected Math Program 2Common Core Investigation 1: Graphing Proportions

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 1.3: 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

Problem 1.3: Karl’s Jogging

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?

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?

Common Core Investigation 1: Graphing ProportionsMathematical 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

Pre-Algebra Homework

Exercises#10-15

Work and answers in your math workbook