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

james.rahn334@gmail.com

Ask your students to describe their understanding of slope.

What might an initial lesson in slope look like?

Compare the steepness of lines

Idea 1

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

Develop Rise over Run from Visuals

Idea 3

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

Idea 4

Calculate Rate of Change from Charts?

GBD5 GBD6

Idea 5

Study Rates of Change in Different Tables for the Same Function

GBD7 GBD8

Idea 6

I Have… Who Has… with Slope

Idea 7

Use the Transformation App with Graphs

Idea 8

Use both graphs and transformations to understand rate of change

Use the Transformation App with Graphs and Tables

Idea 9

Use both graphs and tables to understand rate of change

GBD 9

Engage Students in Comparing Slopes

Idea 10

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