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England · England Mathematics · Year 3

Compare and order unit fractions, and fractions with the same…

Compare and order unit fractions, and fractions with the same denominators. Taught in lessons 1 and 2.

The National curriculum in England: mathematics programmes of study, Key Stages 1–3 outcome (Number: fractions) for Year 3 says: “Compare and order unit fractions, and fractions with the same denominators. Taught in lessons 1 and 2.” This Fieldbook unit teaches it hands-on, with everyday materials and a printable teacher guide and student sheet for every lesson. Official wording: National curriculum in England: mathematics programmes of study, Key Stages 1–3.

Fair Shares: Fractions and Decimals Grades 3–4

Is half always the same size? Where does three-quarters stand? Why is 3/4 + 2/4 not 5/8? Who jumped further, 1.4 m or 1.35 m? Four hands-on lessons where students fold, stand on a giant number line, measure recipes and measure their own jumps to make sense of fractions and decimals.

  • Is half always the same size? 50–60 min

    Teams fold and cut paper granola bars into halves, quarters, eighths, thirds and sixths, and discover that a quarter of a long bar is exactly as long as a half of a short one. Students explain that a fraction names equal parts of a whole, and that the same fraction of a different whole can be a different amount.

  • Where does three-quarters stand? 50–60 min

    The class builds a giant number line from 0 to 2 on the playground, and each student stands where their fraction card belongs. Students discover that 1/2, 2/4 and 4/8 all stand on the same spot, and explain fractions as numbers with a place on the line, equivalent fractions and how to compare fractions with benchmarks.

More England Year 3 math outcomes we teach

Every England Year 3 math curriculum outcome we teach

Every unit matched to England's curriculum · All places and curricula

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