Investigation 3: Inverse Variation Chapter 1: Thinking with Mathematical Models.

Investigation 3: Inverse Variation

Chapter 1: Thinking with Mathematical Models

3.1 Rectangles With Fixed Area

Focus Question: When the product of two variables is some fixed number, what is the pattern of change and how is that pattern of change reflected in tables and graphs of the relationships?

Launch

What is area?

How do you find the area of a rectangle?

How can you write this area as a formula?

If you know the area of a rectangle, how can you find possible lengths and widths?

I’m thinking of…

A rectangle with an area of 100 square units. It’s length is 8 units. What is it’s width?

12.5 units

3.2 Distance, Speed & Time

Focus Question: What examples using distance, rate and time show one variable inversely related to another?