Measurement Session 9: Measurement Relationships

In this session, you will explore the dynamic relationships that exist among measurements, such as area and perimeter or surface area and volume. More specifically, you will look at what happens to one variable when the other one is fixed. You will also consider some practical applications of these relationships.

For information on required and/or optional materials, see Note 1.

Part A:
Area and Perimeter

Part B:
Surface Area and Volume

Part C:
Designing a Water Tank

Homework

In this session, you will do the following:
•	Examine the relationships between area and perimeter when one measure is fixed
•	Explore which shapes simultaneously maximize area and minimize perimeter, and vice versa
•	Learn about the proportional relationship between surface area and volume and some of its applications
•	Construct open boxes and use graphs to approximate the dimensions of a rectangular prism that holds the maximum volume


	Throughout the session you will be prompted to view short video segments. In addition to these excerpts, you may choose to watch the full-length video of this session.


	Previously Introduced:
	area perimeter surface area volume

Next > Part A: Area and Perimeter

Session 9: Index | Notes | Solutions | Video