How can you tell they’ve got it: Fractions on a number line (age 9+)?

If they’ve got it, you’ll see things like: Represent a scaling problem as both a bar model and a multiplication equation; Show how 0.35, 35/100, and 35% all represent the same quantity on a hundredths grid; Translate a line-graph reading into a subtraction equation to find the difference. Or just try it together: When your child solves a problem involving percentages or multi-digit multiplication, can they show the same situation using a bar model, a number line, and an equation — and explain what each one represents?

Mathematics Mathematical Thinking Ages 9–10

Fractions on a number line (age 9+)

Your child can show one situation as a bar model, a number line and an equation. They see 0.35, 35/100 and 35% as the same amount.

In curriculum terms

Move fluently between real-world situations, diagrams, number lines, bar models, and symbolic equations involving multi-digit multiplication, fractions, decimals, and percentages, explaining connections between representations

Ages are typical, not deadlines — follow your child’s pace. How to help at home →

How to tell they’ve got it

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

Represent a scaling problem as both a bar model and a multiplication equation
Show how 0.35, 35/100, and 35% all represent the same quantity on a hundredths grid
Translate a line-graph reading into a subtraction equation to find the difference

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Try this together

When your child solves a problem involving percentages or multi-digit multiplication, can they show the same situation using a bar model, a number line, and an equation — and explain what each one represents?

Where this sits on the map

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

Builds on

Fractions on a number lineages 8–9Age 8-9 quantitative reasoning is prerequisite to age 9-10 level

Long multiplicationages 9–10Long multiplication with area models connects situations to visual and symbolic representations

Understanding Percentagesages 9–10Percentage/fraction/decimal equivalence exercises fluency between representations

Fractions on a number line (age 9+)this skill · ages 9–10

Unlocks

Understanding fractionsages 10–11Y6 representation fluency extends Y5 multi-representation skills

solid = must come firstdashed = helps

Curriculum alignment

Where this fits in the official school curriculum — our best automated guess, not yet checked by a person.

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

Australian Curriculum v9 candidate

AC9M5N03high confidenceYear 5 · Number

compare and order fractions with the same and related denominators including mixed numerals, applying knowledge of factors and multiples; represent these fractions on a number line

AC9M4N03high confidenceYear 4 · Number

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

AC9M3N04high confidenceYear 3 · Number

multiply and divide one- and two-digit numbers, representing problems using number sentences, diagrams and arrays, and using a variety of calculation strategies

NSW syllabus codes & stages only

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

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

Victorian Curriculum 2.0 codes & levels only

VC2M5N03medium confidenceMathematics · Level 5 · Number strand

VC2M3N05medium confidenceMathematics · Level 3 · Number strand

VC2M5N07medium confidenceMathematics · Level 5 · 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

Choosing representations strategicallyages 9–10 Complex Multi-Step Problemsages 9–10 Fractions, Decimals & Percentagesages 9–10 Precise Maths Vocabularyages 9–10

All Mathematical Thinking skills →