##### Jessika Richter

(Lund - Sweden)<p>The short and sweet: I have been a passionate teacher since 2001. I first worked with the National Park Service in Washington (state), then moved to Australia where I completed my DipEd at the University of Melbourne and then taught at Hailebury ...

## Lesson 21: Variation

** Description:**The lesson begins with a comparison of data tables and graphs of two functions, one directly proportional (cost of gas) and the other exponential (population), before a definition for direct variation is introduced. Direct variation is then linked to linear function (f(x)= kx)and the scaling property of direct variation is examined (i.e. a multiple of the independent variable will always correspond to that same multiple of the dependent variable). Direct variation with a power of x follows with a test for direct variation before indirect variation and indirect variation with a power of x are introduced.

**Last Updated:**

**Subject(s):**- Mathematics
- Mathematics > Algebra

**Educational Level(s):**- College & Beyond

**Instructional Component Type(s):**- Curriculum: Lesson Plan

- From: San Diego Area Knowledge Exchange for Developmental Math (SAKE)
- Contributed By: SAKE Owner SAKE Owner

The lesson begins with a comparison of data tables and graphs of two functions, one directly proportional (cost of gas) and the other exponential (population), before a definition for direct variation is introduced. Direct variation is then linked to linear function (f(x)= kx)and the scaling property of direct variation is examined (i.e. a multiple of the independent variable will always correspond to that same multiple of the dependent variable). Direct variation with a power of x follows with a test for direct variation before indirect variation and indirect variation with a power of x are introduced.