Algebra II Task: Volume of a Cube

Algebra II Task: Volume of a Cube

PDF icon 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