Equal Areas: Partition Shapes into Unit Fractions
Print 3rd grade equal area worksheets: decide if each grid shape is cut into equal parts, name the unit fraction, then split grids into 4 and 6 equal parts.
Worksheet version 1 of 12. The answer key matches the current version.
Count the grid squares in each part. If every part has the same number of squares, the parts are equal.
Part A. Are the parts equal? If yes, write the fraction that each part is of the whole.
Equal parts?
Each part is of the whole
Equal parts?
Each part is of the whole
Equal parts?
Each part is of the whole
Equal parts?
Each part is of the whole
Equal parts?
Each part is of the whole
Equal parts?
Each part is of the whole
Equal parts?
Each part is of the whole
Equal parts?
Each part is of the whole
Part B. Draw lines on the grid to make equal parts.
i) Split this rectangle into 4 equal parts. Shade 1 part.
Squares in each part: Each part is
j) Split this rectangle into 6 equal parts. Shade 1 part.
Squares in each part: Each part is
About this worksheet
When a shape is cut into equal parts, each part is a unit fraction of the whole. A rectangle cut into 4 equal parts has 4 fourths, so each part is 1/4. Equal parts means equal area: every part covers the same number of grid squares.
Equal parts do not have to look the same. A 4 × 3 rectangle can be cut into a straight piece of 3 squares, two L shapes of 3 squares and another straight piece. The pieces look different, but each covers 3 of the 12 squares, so each is still 1/4. Every version has two shapes like this, alongside shapes cut into straight strips and three shapes with parts that are close to equal but not quite. Counting the squares is the reliable test.
In Part B, children make their own equal parts. There is more than one right answer: a 4 × 4 square can be cut into 4 columns, 4 rows or 4 smaller squares, and each part is 1/4 every time. The key shows one way and colors every part.
Practice aligned to CCSS 3.G.A.2.
Before this: 2nd grade shapes and equal shares. Next: fractions of shaded shapes and area with unit squares. More practice: fraction worksheets and 3rd grade math worksheets.
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