Can You Make A Square?

Curriculum – Geometry and Spatial Sense

  • Relating shapes to other shapes, to designs, and to figures
  • Composing and decomposing shapes
  • Recognizing transformations

Context

Students are asked to make a square using a set number of Tangram pieces. The biggest challenge lies in creating a square using all seven pieces.

Materials

  • Set of Tangrams

Lesson

  • Challenge your students with the following:

    • Use one tangram to make a square.
    • Use 2 tangrams to make a square.
    • How many ways can you make a square with 2 tangrams?
    • Use 3 tangrams to make a square. Use 4.
    • Can you make a square with all 7 tangrams?

Extension

Ask students to come up with as many different combinations of tangrams as the can to make squares. Examples can be seen in the image below.

Special Notes

You may want to consider creating an anchor chart with pictures of the squares and the number of tangrams used to make each square. Students could photograph each solution and compare their solutions to those of their classmates. Is there more than one way to make a square using x number of tangram pieces? Asking this type of question provides an opportunity for students to challenge themselves to create more complex composition plans.