1. Section 1

1.12. Lesson 2

Mathematics 20-3 Module 5

Section 1: Viewing and Representing 3-D Objects

 

Lesson 2: Drawing Three-Dimensional Objects from Their Views

 

Focus

 

The ability to visualize three-dimensional objects from their views, or vice versa, is very important in many trades. A machinist, for example, is a person who uses tools such as a computer numerical control (CNC) machine to manufacture parts required for a job. To program the machine, the machinist needs to interpret blueprints, which are two-dimensional representations of three-dimensional objects.

 

These are two combined photos of machines. One photo contains a machine drilling a hole in a piece of metal, while the other photo is of a computer numerical control (CNC) machine.

drill: iStockphoto/Thinkstock; power: © NAIT Photography

 

In Lesson 1 you represented three-dimensional objects in two dimensions. One method you explored was sketching the views of the object: front and back, top and bottom, left and right. In this lesson you will do the reverse by reconstructing three-dimensional objects from their views.

 

Lesson Question

 

In this lesson you will investigate the following question:

  • How are three-dimensional objects drawn from two-dimensional views?
Assessment

 

Your assessment for this lesson may include a combination of the following:

  • course folder submissions from the Try This and Share sections of the lesson

  • your contribution to the Mathematics 20-3: Glossary Terms

  • Lesson 2 Assignment (Save a copy of your lesson assignment to your course folder now.)

Materials and Equipment
Time

 

This lesson has been designed to take 150 minutes; however, it may take more or less time depending on how well you are able to understand the lesson concepts. It is important that you progress at your own pace based on your own learning needs.