# Partitioning Shapes

- Author:
- Megan Geddes

## Partitioning Shapes Into Parts With Equal Areas

__Content Standard:__CCSS.MATH.CONTENT.3.G.A.2 Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole.

*For example, partition a shape into 4 parts with equal area, and describe the area of each part as 1/4 of the area of the shape*. CCSS.MATH.CONTENT.3.NF.A.1 Understand a fraction 1/

*b*as the quantity formed by 1 part when a whole is partitioned into

*b*equal parts; understand a fraction

*a/b*as the quantity formed by

*a*parts of size 1/

*b*.

__Instructions:__Use the colored pieces to partition the each figure into parts with equal areas.

- Partition Figure 1 into parts with equal areas. What is the area of each part as a unit fraction of the whole?
- Partition Figure 2 into parts with equal areas. What is the area of each part as a unit fraction of the whole?
- When partitioning the figures into parts with equal areas, did you use the same or different colored pieces? Why?
- Can the figures be partitioned into parts with equal areas in more than one way? If so, how?
- What is one observation you found interesting when exploring this tool?

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