Illuminations: What Can You Build With Triangles?

What Can You Build With Triangles?


Students explore ways of building different basic shapes from triangles. They also investigate three dimensional shapes constructed from triangles.

Learning Objectives

 
Students will:
  • explore ways of building different basic shapes from triangles
  • investigate three dimensional shapes constructed from triangles

Materials

 
Just Two Triangles Activity Sheet
Scissors, Glue, Masking Tape
Duplicated examples of a square, a triangle, and a parallelogram

Instructional Plan

Begin the class by reviewing triangles. You may ask questions such as:

  • What is a triangle?
  • How can we classify triangles based on their sides?
  • How can we classify triangles based on their angles?
  • Using different quadrilaterals, how can you cut or fold paper to create triangles?

 

Distribute the Just Two Triangles activity sheet to each student.

Just Two Triangles Activity Sheet Just Two Triangles Activity Sheet

Have students cut out two triangles from the activity sheet.

Use the models of the square, triangle, and parallelogram to encourage students to make various shapes. Ask them to try to make these shapes with two triangles. Have the students glue the "new" shapes onto the activity sheet.

In a whole-class discussion, encourage students to share at least one important thing that they noticed about one of the new shapes: likenesses and differences; where it could be seen in the classroom, playground, school, or at home; and so on.

Some possible drawings for the activity sheet include:

 

 

Next, investigate building three-dimensional shapes with triangles. You will need to duplicate the triangles on heavy paper. Students may discover three-dimensional figures created from triangles, which may include triangular pyramids and triangular prisms.

Questions for Students

 

What shapes were you able to build with your triangles?

[Students may reply by saying they were able to build squares, parallelograms, and other triangles.]

What three-dimensional shapes were you able to build with your triangles?

[Students may reply by saying they were able to build triangular pyramids and triangular prisms.]

NCTM Standards and Expectations

 
Geometry 3-5
  1. Investigate, describe, and reason about the results of subdividing, combining, and transforming shapes.
  2. Classify two- and three-dimensional shapes according to their properties and develop definitions of classes of shapes such as triangles and pyramids
  3. Identify, compare, and analyze attributes of two- and three-dimensional shapes and develop vocabulary to describe the attributes.
  4. Build and draw geometric objects.
  
1 period   

NCTM Resources

Navigating through Geometry in Grades 6‑8


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