Self Check Exercise

Self Check Exercise

Critique

Opening

Critique

Review your work on the Self Check problem and think about these questions:

  • Can you break up the front surface into shapes that you know how to find the area of?
  • What are the length and width of each side?
  • What would the opposite side of the figure look like?
  • How can you use the area of the front surface to find the volume of the figure?
  • Find a different way to solve the problem.

Math Mission

Opening

Apply what you know about 3-D measurement to find the surface area and volume of a sliced prism.

Revise and Extend Your Work

Work Time

Revise and Extend Your Work

Work with your partner to revise your work on the Self Check problem based on the previous questions and feedback from your partner.

Self Check Problem

Use the drawings to answer the following questions. Note that the surface areas of the top and bottom surfaces will not be the same because the prism has been sliced. For the same reason, the surface areas of the side surfaces will be different.

  1. What is the length and width of the rectangle cross section revealed?
  2. What is the surface area of the figure? Show how you found your answer.
  3. What is the volume of the figure? Show how you found your answer.

Challenge Problem

Create a 2-D view of a 3-D figure on paper, and give it to your partner to create the 3-D figure in the 3-D builder. (Have your partner ignore the figure shown at the bottom-right).

INTERACTIVE: 3-D Builder

Make Connections

Performance Task

Ways of Thinking: Make Connections

Take notes about your classmates’ approaches to revising and solving the Self Check problem.

Hint:

As your classmates present, ask questions such as:

  • What part of the task was most difficult?
  • What errors in your work did you have to revise? How did you go about revising the mistakes?
  • Did you and your partner ever disagree about some aspect of the problem? If so, were you able to resolve your difference of opinion? How?
  • How did you use the two-dimensional views of the figure to help you find the surface area and volume of the figure?
  • What shapes (or figures) did you break the front view into to help you find the surface area (or volume)?
  • Did you find two ways to solve the problem? Can you explain what they are?

Reflect On Your Work

Work Time

Reflection

Write a reflection about the ideas discussed in class today. Use the sentence starter below if you find it to be helpful.

Some things I learned in this unit about 3-D figures are …