Equivalent Fractions Matching

3rd Grade MathFractions4 pages

About this worksheet

A matching worksheet on equivalent fractions for 3rd grade, moving from strips to number lines to a fraction bank. Students pair 1/2, 1/3, 3/4, and 2/5 with lettered strips showing 2/4, 2/6, 6/8, and 4/10, find which eighths fraction shares a point with 2/4, and complete four number sentences from a bank of 2/8, 3/6, 4/6, and 6/8. A closing prompt asks how two fractions with different numbers can name the same amount.

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Curriculum objectives covered

3.NF.3.a

Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.

Part 2, where 2/4 and 4/8 sit at the same point of stacked number lines, and 2/3 lines up with 4/6.

3.NF.3.b

Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3. Explain why the fractions are equivalent, e.g., by using a visual fraction model.

The strip matching in Part 1 and the fraction-bank sentences in Part 3, capped by the written explanation of 1/2 = 2/4 in question 8.

What's inside this worksheet

Part 1: Visual Model Matching

Four fraction strips on the left (1/2, 1/3, 3/4, 2/5) meet four lettered strips of identical length on the right (A. 4/10, B. 2/4, C. 6/8, D. 2/6). Students write the letter whose shading matches exactly.

Part 2: Number Line Matching

Two stacked number-line diagrams carry a dot each: 2/4 on a fourths line above an eighths line, then 2/3 on a thirds line above a sixths line. Students name the fraction directly below each dot.

Part 3: Match and Explain

A fraction bank of 2/8, 3/6, 4/6, and 6/8 completes the sentences 1/2 =, 1/4 =, 2/3 =, and 3/4 =. Question 8 then asks in writing why 1/2 and 2/4 are equivalent.

How teachers use it

Lesson two of equivalence

Use it the day after fraction-strip folding. The lettered strips are the same lengths students folded, so the match feels like recognition rather than a new rule.

Anchor-chart material

The stacked fourths-over-eighths diagram in Part 2 makes a clean class anchor chart. Have students copy it after finding that 4/8 shares the dot.

Quick conference

Read each student's question 8 answer. The key's version says two 1/4 pieces equal one 1/2 piece; anything about "doubling both numbers" without a size argument needs a follow-up chat.

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