7th Grade Pre-AlgebraFocus 1: Proportional Reasoning

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

Common Core Investigation 1: Graphing ProportionsMathematical Learning Goals

0Compute unit rates associated with ratios of fractions, including quantities measured in like or different units

0Decide whether two quantities are in a proportional relationship

0Explain 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 1.1: 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.

Getting Ready for Problem 1.1

0How are the fractions related?

0How do you know?

0In your own words, define equivalent fractions.

Problem 1.1: Karl’s Free Throws

Problem 1.1Have 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?

Class Discussion & Sharing

Problem 1.1: Learning TargetReview & 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.

Pre-Algebra Homework

Exercises #1A-1F

Your work and answers in your math workbook