Introduction
In Year 5, students deepen their understanding of mathematical concepts and develop problem-solving skills across Number, Algebra, Measurement, Space, Statistics, and Probability. They apply these skills in real-world contexts, explore patterns, and use digital tools to enhance learning, preparing them for confident and efficient mathematical reasoning.
All ACARA codes link to the official Australian Curriculum Year 5 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
Develop understanding of decimals, fractions, percentages, and operations, applying them in practical contexts.
| Topic | Subtopic / Focus | ACARA Code |
|---|---|---|
| Decimals | Interpret, compare, and order numbers with more than 2 decimal places; represent on number line | AC9M5N01 |
| Factors & Multiples | Express natural numbers as products of factors; recognise multiples and divisibility | AC9M5N02 |
| Fractions | Compare and order fractions with same or related denominators; represent on number line | AC9M5N03 |
| Percentages | Recognise 100% as whole; use percentages to describe, represent, and compare; connect to fractions and decimals | AC9M5N04 |
| Fractions Operations | Solve problems with addition and subtraction of fractions with same or related denominators | AC9M5N05 |
| Multiplication | Multiply larger numbers by one- or two-digit numbers; choose efficient strategies; use digital tools | AC9M5N06 |
| Division | Solve division problems; interpret remainder; use efficient strategies; digital tools | AC9M5N07 |
| Estimation & Reasonableness | Check reasonableness of solutions, including financial contexts, using estimation strategies | AC9M5N08 |
| Mathematical Modelling | Solve practical problems using additive and multiplicative situations; model financial contexts | AC9M5N09 |
| Algorithms | Create and use algorithms to experiment with factors, multiples, divisibility; identify patterns | AC9M5N10 |
🧩 Algebra
Use inverse operations and properties of numbers to solve problems and find unknowns.
📏 Measurement
Choose appropriate metric units; solve problems involving perimeter, area, angles, and time
| Topic | Subtopic / Focus | ACARA Code |
|---|---|---|
| Metric Units | Choose metric units for length, mass, and capacity; use smaller/combinations for accuracy | AC9M5M01 |
| Perimeter & Area | Solve practical problems using appropriate metric units | AC9M5M02 |
| Time | Compare 12- and 24-hour time; solve conversion problems | AC9M5M03 |
| Angles | Estimate, construct, and measure angles; classify by type using appropriate tools | AC9M5M04 |
🟦 Space
Develop spatial reasoning through nets, coordinates, transformations, and symmetry.
| Topic | Subtopic / Focus | ACARA Code |
|---|---|---|
| Nets | Connect objects to nets; build objects from nets using spatial reasoning | AC9M5SP01 |
| Coordinates | Construct grid coordinate system; locate positions and describe movement | AC9M5SP02 |
| Transformations | Describe and perform translations, reflections, and rotations; identify symmetries | AC9M5SP03 |
📊 Statistics
Collect, validate, represent, and interpret data to address questions using digital tools.
| Topic | Subtopic / Focus | ACARA Code |
|---|---|---|
| Data Representation | Acquire, validate, represent nominal/ordinal/discrete data; discuss mode and shape | AC9M5ST01 |
| Line Graphs | Interpret line graphs representing change over time; discuss relationships | AC9M5ST02 |
| Investigations | Plan and conduct investigations; collect, display, interpret data; communicate findings | AC9M5ST03 |
🎲 Probability
Explore chance events and outcomes; conduct experiments to estimate probabilities.
📚 Related Resources
💡Year 1 Math Worksheets & Videos
💡Year 2 Math Worksheets & Videos
💡Year 3 Math Worksheets & Videos