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