2-D Nets for 3-D Figures and Intro to Puzzle Maker

Subject
Math

Author
Lisa Castaneda, Math Teacher

School / Organization, City and State / Province
Shoreline, WA

Grade Level
6 or 7

Common Core Standards Met

  • 6th: Solve real-world and mathematical problems involving area, surface area, and volume
  • 6.G.4. Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. ~Note: the surface area elements appear in a later lesson. ~ Apply these techniques in the context of solving real-world and mathematical problems
  • 7th: Draw, construct, and describe geometrical figures and describe the relationships between them
  • 7.G.2. Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions
  • 7.G.3. Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids

Time Needed
Approximately two regular length class periods or one block period.

Objectives

  • How can we represent 3-D objects with 2-D images?
  • Students will be able to utilize vocabulary associated with 3-D figures
  • Students will demonstrate the ability to deconstruct a 3-D figure into a 2-D net
  • Students will effectively demonstrate how a slice of a 3-D figure is a 2-D figure
  • Students will use the Puzzle maker to help them visualize and work with 3-D shapes

Summary
In this lesson students are introduced to the idea of 2-D representational nets of 3-D figures and characteristics of 3-D figures and horizontal slices of 3-D figures. Through initial examples of how nets work, students then extend these ideas into the creation of their own nets from images in the game Portal 2. They are introduced to mathematical vocabulary related to nets and 3-D figures. Finally, they complete an introductory piece familiarizing them with the Puzzle Maker as they use it to explore the idea of nets.

Vocabulary

  • Face – a flat surface of a 3-D figure
  • Edge – the intersection of faces in a 3-D figure
  • Vertices – the point where three or more edges come together

Teacher Materials Needed

  • If possible, a computer that will allow you to project the Puzzle maker for class discussion purposes. Also you may choose to show one of the demo videos from the Think with Portals website (in the media section)
  • Repulsion Gel short

Student Materials Needed

  • The Puzzle maker
  • Building materials (or another type of building tool that will allow students to make nets) or paper and scissors and students can create their own nets (this portion is optional)
  • Rulers
  • Copies of the Portal 2 images included in this lesson
  • Markers or Sharpies

Lesson Plan
Download 2D Nets for 3D Figures and Intro to Puzzle Maker