# Areas of Tangram Pieces

### Tom Scavo

Contents || Constructions || Area Answers || More Activities || Tangram Resources

## Objectives

a basic understanding of area without formulas
a familiarity with the names of certain polygons
(e.g., square, triangle, and parallelogram)
the meaning of the term congruent
to develop geometric intuition

## Materials

a package of tangrams (seven pieces) for each student a student notebook (to record observations)
a sharp pencil (for tracing geometric figures)
a ruler
an overhead projector (to illustrate geometric constructions)

## Warm-up activities

Have each student inventory his or her package of tangrams. Ask the question "What's in your package of tangrams?" Every student should have seven tangram pieces, including
a small square
two small congruent triangles
two large congruent triangles
a medium-size triangle
a parallelogram

## Primary activities

The goal of these activities is to determine the area of each tangram piece. These areas will be used to compute the areas of other polygons in the next lesson.

## Homework

Repeat the primary activities assuming the small square has area two square units.