Partitioning Shapes
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?