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MA2-PF-01, Fractions on a number line

Stage 2 (Years 3 and 4) ยท Mathematics ยท Partitioned fractions

Represents and compares halves, thirds, quarters and fifths as lengths on a number line, together with the fractions made by halving them (sixths, eighths and tenths).

MA2-PF-01 is an outcome from the NESA Mathematics K-10 Syllabus (2022), taught in NSW schools. Because Stage 2 spans Years 3 and 4, the worksheets below come from Year 3 and Year 4. Print them as PDFs, or generate a fresh one. Every maths answer key is computed in code, so it is never wrong.

Teaching guide

What students learn

Represents and compares halves, thirds, quarters and fifths as lengths on a number line, together with the fractions made by halving them (sixths, eighths and tenths).

How to teach it

Start with fair sharing of one whole into equal parts, name unit fractions, then build non-unit and equivalent fractions with fraction strips.

Worked example
1/2 ___ 4/5
Answer: <

Generated and checked in code, so it is correct.

Watch out for

Forgetting the parts must be equal, and thinking a larger denominator always means a larger fraction.

Comparing Fractions worksheets

All comparing fractions worksheets โ†’

Visual Fractions worksheets

All visual fractions worksheets โ†’

Sets A-F are the same worksheet with different questions - print any (or all) for fresh practice.

Make a worksheet for MA2-PF-01
More Stage 2 Mathematics outcomes: MA2-RN-01 ยท MA2-RN-02 ยท MA2-AR-01 ยท MA2-AR-02 ยท MA2-MR-01 ยท MA2-MR-02 ยท MA2-GM-01 ยท MA2-GM-02
โ† Browse all NSW K-6 syllabus outcomes

NSW syllabus outcomes (c) NSW Education Standards Authority (NESA) for and on behalf of the Crown in right of the State of New South Wales. The outcome code is cited as published; the description above is paraphrased in our own words. See the official Mathematics K-10 Syllabus on the NSW Curriculum website.