Aboriginal Perspectives


Congruent Shapes

Jessica Wesaquate

Subject Area:



Shape and Space (3-D Objects and 2-D Shapes)

Grade Level:



Main Objective:

Students will describe the characteristics of 3-D objects and 2-D shapes, and analyze the relationships among them.

General Outcome:

Describe, classify, construct and relate 3-D objects and 2-D shapes.

Specific Outcomes:

  1. Demonstrate that a rectangular solid has more than one net.

  2. Compare and contrast two 3-D objects.

  3. Recognize congruent (identical) 3-D objects and 2-D shapes.

  4. Explore, concretely, the concepts of perpendicular, parallel and intersecting lines on 3-D objects.


Activity One:
Pictures of bentwood boxes

Activity Two:
Still image of raised tipi from Glen Anaquod or Tim Haywahe section, and a picture of a wigwam

Activity Three:
Paper or construction paper, pictures of bentwood boxes, math journals and pencils

Activity Four:
Pictures of parfleche bags (option: laminated for future use)

Activities/Lesson Ideas:

  1. Using a search engine, look up examples of bentwood boxes. Print off different examples for students. If you wanted to re-use this activity, you can print the pictures off and laminate them. Place students into small groups and have them create different examples of nets to represent the picture of the bentwood box example they have.

  2. Put up a still image of a raised tipi from the Glen Anaquod or Tim Haywahe section on a SMART board or projector. You can also print off the images on paper. This can be developed into a “PWIM” lesson – Google search for more details. Have students use as many words and ideas they can think of to describe the tipi.

    Show students a picture of a wigwam. Have students compare and contrast the wigwam with the tipi. Students can display results in a Venn diagram.

  3. Look at samples of bentwood boxes online. Print off samples for students to see. Have students create two congruent boxes to replica the bentwood box picture. They can use paper or construction paper. In their math journals, have students explain why their two boxes are congruent.

    Can students find two objects in the classroom our outdoors that are almost, but not exactly congruent?

  4. Show students pictures of parfleche bags. Can students find any of the following?
    • Parallel faces/lines
    • Perpendicular faces/lines
    • Intersecting faces/lines