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Algebra II Task: Volume of a Cube

Standards & Objectives

Essential and guiding questions:

If I know the length of the side of a square, how do I find the area? What operation is this?
What if I know the area of a square, how do I find the length of one side? What operation is this? How are the operations for these questions related?
What about for a cube? What if I know the length of one side and want to know the volume? What operation is this?
What if I know the volume and want to know the length of one side? How are these operations related?
How did this activity help you understand the concept of cube root and the 1/3 power?
Does one representation of your answer make more sense to you than others? Why or why not?

Activity/Task Variations

Blooms taxonomy level:

Understanding

Differentiation suggestions:

If students can’t get started….

Assessing

What if the area of the square is 36?
What is the length of one side? What if the volume
of the cube is 125? What is length of one edge?
Advancing- How can we use this information to help
us answer the questions?

Extension suggestions:

If students finish early….
Assessing

Can you find a second way to write the expression for the edge of the cube and show that it is equivalent to your answer to 2b?

Advancing

Could you come up with a tangible way to have a problem similar to this for a fourth root?

Originator:

Tennessee Department of Education