Halves, Thirds, and Fourths Matching

2nd Grade MathGeometry4 pages

About this worksheet

Six partitioned shapes open this 2nd grade equal-shares worksheet, and every fraction appears cut two different ways: fourths as a cross-cut circle and as a 2-by-2 rectangle, thirds as vertical stripes and as a Y-cut circle, halves split vertically and horizontally. Students label each from a three-word bank, then complete five sentences using the exact vocabulary of Common Core 2.G.3: half of, third of, fourths, two, four. A final check shows an unequally cut circle beside a rectangle in four equal columns, and students tick which one truly shows equal shares.

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Curriculum objectives covered

2.G.3

โ€œPartition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc., and describe the whole as two halves, three thirds, four fourths. Recognize that equal shares of identical wholes need not have the same shape.โ€

Labeling in Part 1, the halves-thirds-fourths vocabulary in Part 2, and the equal-versus-unequal judgment in Part 3. The doubled cuts show equal shares need not match in shape.

What's inside this worksheet

Part 1: Label the Equal Shares

Six pictures against the bank halves, thirds, fourths. Each word gets used twice, in two different-looking cuts.

Part 2: Complete the Sentences

Five cloze sentences, from a sandwich cut into halves through a square folded into fourths.

Part 3: Equal Shares Check

One deliberately unequal circle and one genuinely equal rectangle, each with equal and not equal checkboxes.

Answer key

The six labels, the sentence completions and both Part 3 judgments.

How teachers use it

Find the pairs

After labeling, ask students to point out the two pictures showing fourths. Seeing 4 squares and 4 pie pieces share one name is the point.

Hear the blanks

Part 2 mixes half of with plain numbers like two. Read one completed sentence aloud so students hear which blank wants which.

Fold to verify

Hand out paper circles for question 12. A fold proves the top piece is smaller faster than any explanation.

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