Mathematics Fractionsusually ages 9–10

Equivalent fractions (age 9+)

Explain why a fraction a/b is equivalent to (n×a)/(n×b) using visual models; use this principle to recognise and generate equivalent fractions, including tenths and hundredths

How to tell they’ve got it

Tick these off as you see them — no test required.

Use a fraction strip to show 2/3 = 4/6 = 6/9
Explain that multiplying numerator and denominator by the same number gives an equivalent fraction because the size of the whole is unchanged
Generate three fractions equivalent to 3/5 and verify with diagrams

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Try this together

If your child needs to make 2/3 look different without changing its value, can they multiply the top and bottom by the same number and explain why the fraction stays the same?

Where this sits on the map

Stuck here? Check the skills it builds on first. Confident? Here’s what it unlocks.

Builds on

Equivalent fractions (age 8+)ages 8–9Generating equivalent fractions with visual models is prerequisite to algebraic explanation of equivalence

Equivalent fractions on a number lineages 8–9Understanding equivalence conceptually is prerequisite to explaining algebraically

Equivalent fractions (age 9+)this skill · ages 9–10

Unlocks

Adding fractions (different denominators)ages 9–10Must generate equivalent fractions to find common denominators

Comparing fractions (age 9+)ages 9–10Must generate equivalent fractions before using common denominators to compare

Converting tenths to hundredthsages 9–10Generating equivalent fractions supports converting 10ths to 100ths

Simplifying Fractionsages 10–11Simplifying fractions extends Y5 equivalent fractions concept

Reasoning with Equivalencesages 9–10Equivalent fraction patterns exercise generalisation

Multiplication as scalingages 10–11Relating n/n × a/b to equivalence connects to equivalent fractions

solid = must come firstdashed = helps

Curriculum alignment

Candidate matches to official curriculum codes — machine-suggested, unreviewed (v0.1).

Show candidate curriculum codes · 3 ACARA · 2 NSW · 3 VIC

Australian Curriculum v9 candidate

AC9M4N03high confidenceYear 4 · Number

find equivalent representations of fractions using related denominators and make connections between fractions and decimal notation

AC9M6N03medium confidenceYear 6 · Number

apply knowledge of equivalence to compare, order and represent common fractions including halves, thirds and quarters on the same number line and justify their order

AC9M6N05medium confidenceYear 6 · Number

solve problems involving addition and subtraction of fractions using knowledge of equivalent fractions

NSW syllabus codes & stages only

MA3-RQF-01high confidenceMathematics K-10 · Stage 3

MA2-PF-01medium confidenceMathematics K-10 · Stage 2

Victorian Curriculum 2.0 codes & levels only

VC2M4N03medium confidenceMathematics · Level 4 · Number strand

VC2M5N03medium confidenceMathematics · Level 5 · Number strand

VC2M6N03medium confidenceMathematics · Level 6 · Number strand

These are candidate alignments generated by semantic matching — machine-suggested and unreviewed (v0.1), not official or verified mappings. For official curriculum content see australiancurriculum.edu.au, curriculum.nsw.edu.au and f10.vcaa.vic.edu.au. Don’t rely on them for registration or compliance purposes.

Nearby on the map

Adding and subtracting mixed numbersages 9–10 Adding fractions (different denominators)ages 9–10 Addition and subtraction word problemsages 9–10 Comparing Decimalsages 9–10

All Fractions skills →