Introduction
In Year 6, students consolidate and extend their mathematical understanding, applying number, algebraic, spatial and statistical thinking to solve practical problems. They work with integers and rational numbers, use measurement and geometry for modelling, create and test algorithms, analyse data, and investigate probability — all with increasing fluency and reasoning.
All ACARA codes link to the official Australian Curriculum Year 6 Mathematics page, where you can view detailed descriptions for each topic.
Each topic will link to a post containing:
🧾 Printable Worksheets 🎥 Video Lesson 🔗 Curriculum Connection
🔢 Number
Students work with integers, fractions, decimals, percentages and apply place-value and factor/multiple knowledge to solve practical problems.
| Topic | Subtopic / Focus | ACARA Code |
|---|---|---|
| Integers | Recognise situations that use integers; locate & represent integers on a number line and as Cartesian coordinates | AC9M6N01 |
| Prime, composite & square numbers | Identify and describe properties of prime, composite and square numbers; use to solve and simplify calculations | AC9M6N02 |
| Fractions — equivalence & order | Compare, order and represent common fractions (halves, thirds, quarters) on the same number line; justify order | AC9M6N03 |
| Decimals — add & subtract | Use place value to add and subtract decimals (to thousandths where needed); use estimation and digital tools to check reasonableness | AC9M6N04 |
| Fractions — operations | Solve addition and subtraction problems involving fractions using equivalent fractions and strategies | AC9M6N05 |
| Decimals × / ÷ powers of 10 | Multiply and divide decimals by powers of 10 without a calculator; use place value understanding and estimation | AC9M6N06 |
| Fractions, decimals & percentages of quantities | Find a familiar fraction, decimal or percentage of a quantity (including discounts); choose efficient strategies and digital tools | AC9M6N07 |
| Estimation with rational numbers | Approximate numerical solutions involving rational numbers and percentages using appropriate estimation strategies | AC9M6N08 |
| Mathematical modelling with rational numbers | Use modelling to solve practical problems involving rational numbers and percentages, interpret and justify solutions | AC9M6N09 |
🧩 Algebra
Students recognise and generate patterns, use rules and algorithms, and find unknowns using properties of operations (including brackets).
| Topic | Subtopic / Focus | ACARA Code |
|---|---|---|
| Patterns | Recognise rules that generate visually growing and number patterns involving rational numbers | AC9M6A01 |
| Unknown values & order of operations | Find unknowns in numerical equations involving brackets and combinations of operations using properties of numbers | AC9M6A02 |
| Algorithms | Create and use algorithms with sequences, rules and digital tools; identify and explain emerging patterns | AC9M6A03 |
📏 Measurement
Students convert metric units, derive and apply the area formula for rectangles, use timetables, and reason with angle relationships.
| Topic | Subtopic / Focus | ACARA Code |
|---|---|---|
| Metric conversions & decimals | Convert between common metric units; use decimal representations appropriate to context | AC9M6M01 |
| Area of rectangle | Establish formula for area of a rectangle from square units and use it to solve practical problems | AC9M6M02 |
| Timetables & planning | Interpret and use timetables and itineraries to plan activities and determine durations | AC9M6M03 |
| Angle relationships | Identify relationships between angles on a line, at a point and vertically opposite angles; determine unknown angles | AC9M6M04 |
🟦 Space
Students explore cross-sections, Cartesian coordinates (all four quadrants), transformations and tessellations using physical and digital tools.
| Topic | Subtopic / Focus | ACARA Code |
|---|---|---|
| Parallel cross-sections & prisms | Compare parallel cross-sections and recognise relationships to right prisms | AC9M6SP01 |
| Cartesian plane (4 quadrants) | Locate points in all four quadrants; describe coordinate changes when moving points | AC9M6SP02 |
| Transformations & tessellations | Use combinations of transformations to create tessellations and geometric patterns | AC9M6SP03 |
📊 Statistics
Students interpret and compare data distributions, critique statistically-informed media, and plan and conduct investigations using digital tools.
| Topic | Subtopic / Focus | ACARA Code |
|---|---|---|
| Data comparison & distributions | Interpret and compare ordinal/nominal, discrete and continuous data displays; compare mode, range and shape | AC9M6ST01 |
| Critique media statistics | Identify and critique statistically-informed arguments in traditional and digital media | AC9M6ST02 |
| Statistical investigations | Plan and conduct investigations; collect and analyse data using spreadsheets and peripherals; communicate findings | AC9M6ST03 |
🎲 Probability
Students assign numerical probabilities (0–1 or 0%–100%), estimate likelihoods, run simulations and compare observed vs expected frequencies.
| Topic | Subtopic / Focus | ACARA Code |
|---|---|---|
| Probability scales & estimation | Recognise probabilities on scales 0–1 and 0%–100%; estimate probabilities using fractions, decimals and percentages | AC9M6P01 |
| Simulations & repeated trials | Conduct repeated chance experiments and digital simulations; compare observations with expected results as trials increase | AC9M6P02 |
📚 Related Resources
💡Year 1 Math Worksheets & Videos
💡Year 2 Math Worksheets & Videos
💡Year 3 Math Worksheets & Videos