ten ideas for building understanding for slope or rate of change jim rahn [email protected]

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TEN IDEAS FOR BUILDING UNDERSTANDING FOR SLOPE OR RATE OF CHANGE Jim Rahn www.jamesrahn.com j [email protected]

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Page 1: TEN IDEAS FOR BUILDING UNDERSTANDING FOR SLOPE OR RATE OF CHANGE Jim Rahn  james.rahn334@gmail.com

TEN IDEAS FOR BUILDING UNDERSTANDING FOR SLOPE OR RATE OF CHANGE

Jim Rahn

www.jamesrahn.com

[email protected]

Page 2: TEN IDEAS FOR BUILDING UNDERSTANDING FOR SLOPE OR RATE OF CHANGE Jim Rahn  james.rahn334@gmail.com

Ask your students to describe their understanding of slope.

Page 3: TEN IDEAS FOR BUILDING UNDERSTANDING FOR SLOPE OR RATE OF CHANGE Jim Rahn  james.rahn334@gmail.com

What might an initial lesson in slope look like?

Compare the steepness of lines

Idea 1

Page 4: TEN IDEAS FOR BUILDING UNDERSTANDING FOR SLOPE OR RATE OF CHANGE Jim Rahn  james.rahn334@gmail.com

How can we numerically describe the steepness or slope of a line?

Visualize the rate of change or the rise over the run

Idea 2

Page 5: TEN IDEAS FOR BUILDING UNDERSTANDING FOR SLOPE OR RATE OF CHANGE Jim Rahn  james.rahn334@gmail.com

Develop Rise over Run from Visuals

Idea 3

Page 6: TEN IDEAS FOR BUILDING UNDERSTANDING FOR SLOPE OR RATE OF CHANGE Jim Rahn  james.rahn334@gmail.com

Present Slope or Steepness of a Line in a Real World Context

Idea 4

Page 7: TEN IDEAS FOR BUILDING UNDERSTANDING FOR SLOPE OR RATE OF CHANGE Jim Rahn  james.rahn334@gmail.com

Calculate Rate of Change from Charts?

GBD5 GBD6

Idea 5

Page 8: TEN IDEAS FOR BUILDING UNDERSTANDING FOR SLOPE OR RATE OF CHANGE Jim Rahn  james.rahn334@gmail.com

Study Rates of Change in Different Tables for the Same Function

GBD7 GBD8

Idea 6

Page 9: TEN IDEAS FOR BUILDING UNDERSTANDING FOR SLOPE OR RATE OF CHANGE Jim Rahn  james.rahn334@gmail.com

I Have… Who Has… with Slope

Idea 7

Page 10: TEN IDEAS FOR BUILDING UNDERSTANDING FOR SLOPE OR RATE OF CHANGE Jim Rahn  james.rahn334@gmail.com

Use the Transformation App with Graphs

Idea 8

Use both graphs and transformations to understand rate of change

Page 11: TEN IDEAS FOR BUILDING UNDERSTANDING FOR SLOPE OR RATE OF CHANGE Jim Rahn  james.rahn334@gmail.com

Use the Transformation App with Graphs and Tables

Idea 9

Use both graphs and tables to understand rate of change

GBD 9

Page 12: TEN IDEAS FOR BUILDING UNDERSTANDING FOR SLOPE OR RATE OF CHANGE Jim Rahn  james.rahn334@gmail.com

Engage Students in Comparing Slopes

Idea 10

Collect data, analyze data, and compare rates of change or slope