Fraction Visual Models

Visual Models for Understanding Fractions

A complete set of visual fraction models including fraction bars (halves through twelfths), fraction circles, and number lines from 0 to 1. Print, cut, and use for hands-on fraction exploration.

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▌Fraction Bars — Cut and Compare

1.1 whole ████████████████████████████████
2.1/2 ████████████████ | ████████████████
3.1/3 ██████████ | ██████████ | ██████████
4.1/4 ████████ | ████████ | ████████ | ████████
5.1/5 ██████ | ██████ | ██████ | ██████ | ██████
6.1/6 █████ | █████ | █████ | █████ | █████ | █████
7.1/8 ████ | ████ | ████ | ████ | ████ | ████ | ████ | ████
8.1/10 ███|███|███|███|███|███|███|███|███|███
9.1/12 ██|██|██|██|██|██|██|██|██|██|██|██

▌Key Fraction Equivalences to Know

✓1/2 = 2/4 = 3/6 = 4/8 = 5/10 = 6/12
✓1/3 = 2/6 = 3/9 = 4/12
✓2/3 = 4/6 = 6/9 = 8/12
✓1/4 = 2/8 = 3/12
✓3/4 = 6/8 = 9/12
✓1/5 = 2/10
✓2/5 = 4/10
✓3/5 = 6/10
✓4/5 = 8/10

▌Number Line: From 0 to 1

✓0 ────────────────────────────────── 1
✓Halves: 0 ─────── 1/2 ─────── 1
✓Fourths: 0 ── 1/4 ── 2/4 ── 3/4 ── 1
✓Eighths: 0 ─ 1/8 ─ 2/8 ─ 3/8 ─ 4/8 ─ 5/8 ─ 6/8 ─ 7/8 ─ 1
✓Thirds: 0 ──────── 1/3 ──────── 2/3 ──────── 1
✓Sixths: 0 ─ 1/6 ─ 2/6 ─ 3/6 ─ 4/6 ─ 5/6 ─ 1
✓Tip: Use a ruler to measure 10cm, then mark each fraction as that many centimetres

▌Practice Activities

✓Cut out the fraction bars and sort them from smallest to largest piece
✓Find two fraction bars that make exactly 1 whole when combined
✓Which is larger — 3/4 or 2/3? Use fraction bars to find out visually
✓How many 1/6 pieces equal 1/2? Count with your fraction bars
✓Place 3/8 on the number line — is it closer to 0, 1/2, or 1?
✓Find three different fractions equal to 1/2 using the equivalence chart

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