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Browse by Grade: Year 4

Australia · ACARA Content Descriptions

Year 4 Mathematics

A comprehensive Year 4 curriculum focusing on the development of multiplicative thinking, fractional reasoning, and geometric properties. Students engage in deep inquiry to connect mathematical concepts to real world problem solving and spatial analysis.

8 units·47 topics·Ages 9-10

01The Power of Place Value

6 topics·Term 1

Exploring the base ten system to ten thousand and understanding how digit position influences value in whole numbers and decimals.

Numbers to 10,000: Reading and Writing

Recognizing and representing numbers up to at least 10,000 using various physical and digital tools, focusing on standard and expanded forms.

Stations RotationExperiential Learning
Decimal Discovery: Tenths

Introducing tenths as part of a whole, linking them to common fractions and visual models.

Think-Pair-ShareGallery Walk
Decimal Discovery: Hundredths

Extending decimal understanding to hundredths, connecting them to fractions and real-world contexts like money.

Stations RotationCollaborative Problem-Solving
Rounding Whole Numbers to Nearest 10, 100, 1000

Applying place value knowledge to round whole numbers to the nearest ten, hundred, and thousand.

Decision MatrixCollaborative Problem-Solving
Comparing and Ordering Whole Numbers

Comparing and ordering whole numbers up to 10,000 using various strategies and symbols.

Stations RotationWalk and Talk
Comparing and Ordering Decimals (Tenths/Hundredths)

Comparing and ordering decimals (tenths and hundredths) using visual models and place value.

Think-Pair-ShareGallery Walk

02Multiplicative Thinking

6 topics·Term 1

Moving beyond additive thinking to master multiplication facts and related division strategies through arrays and area models.

Multiplication Facts to 10x10

Developing fluency with multiplication facts up to 10 x 10 through various strategies and games.

Carousel BrainstormEscape Room
Division as Inverse of Multiplication

Understanding the inverse relationship between multiplication and division and using it to solve problems.

Think-Pair-ShareConcept Mapping
Area Models for 2-Digit by 1-Digit Multiplication

Using visual area models to multiply two-digit numbers by one-digit numbers, connecting to the distributive property.

Problem-Based LearningExperiential Learning
Division with Remainders: Introduction

Solving division problems and understanding what a remainder represents in simple contexts.

Case Study AnalysisStations Rotation
Interpreting Remainders in Context

Interpreting what the remainder means in different real-world contexts (e.g., rounding up, ignoring, or as a fraction).

Case Study AnalysisInquiry Circle
Factors of Whole Numbers

Identifying factors of whole numbers and exploring their relationships through arrays and divisibility rules.

Hexagonal ThinkingConcept Mapping

03Fractions and Parts of the Whole

7 topics·Term 2

Investigating equivalent fractions and calculating fractions of a collection in practical scenarios.

Understanding Unit and Non-Unit Fractions

Representing and identifying unit and non-unit fractions using various visual models and real-world examples.

Experiential LearningGallery Walk
Equivalent Fractions: Visual Models

Using number lines and area models to identify and create equivalent fractions.

Gallery WalkStations Rotation
Finding Equivalent Fractions Numerically

Developing strategies to find equivalent fractions by multiplying or dividing the numerator and denominator.

Think-Pair-SharePeer Teaching
Fractions of a Collection: Unit Fractions

Applying fractional understanding to find a unit fraction of a group of objects.

Collaborative Problem-SolvingInquiry Circle
Fractions of a Collection: Non-Unit Fractions

Applying fractional understanding to find a non-unit portion of a group of objects.

Collaborative Problem-SolvingProblem-Based Learning
Adding Fractions with Like Denominators

Modeling the addition of fractions that share the same denominator using visual aids.

Think-Pair-SharePeer Teaching
Subtracting Fractions with Like Denominators

Modeling the subtraction of fractions that share the same denominator using visual aids.

Stations RotationExperiential Learning

04Measuring the World

6 topics·Term 2

Developing precision in measuring length, mass, and capacity using metric units and understanding perimeter.

Measuring Length: Millimeters, Centimeters, Meters

Selecting and using appropriate metric units for measuring length and converting between them.

Experiential LearningStations Rotation
Measuring Mass: Grams and Kilograms

Selecting and using appropriate metric units for measuring mass and converting between grams and kilograms.

Experiential LearningCollaborative Problem-Solving
Measuring Capacity: Milliliters and Liters

Selecting and using appropriate metric units for measuring capacity and converting between milliliters and liters.

Experiential LearningStations Rotation
Perimeter of Regular Shapes

Calculating the perimeter of regular shapes (squares, equilateral triangles) using formulas and measurement.

Gallery WalkProblem-Based Learning
Perimeter of Irregular Shapes

Calculating the perimeter of irregular shapes by measuring and adding side lengths.

Experiential LearningCollaborative Problem-Solving
Time: Reading Clocks to the Minute

Reading analog and digital clocks to the minute and understanding AM/PM notation.

Simulation GameRole Play

05Geometric Reasoning

7 topics·Term 3

Comparing angles, identifying symmetry, and classifying shapes based on their geometric properties.

Angle Investigators: Right Angles

Identifying and drawing right angles in the environment and in shapes, using a right angle checker.

Gallery WalkExperiential Learning
Angle Investigators: Acute and Obtuse Angles

Identifying and drawing acute and obtuse angles, comparing them to a right angle.

Stations RotationThink-Pair-Share
Line Symmetry in 2D Shapes

Identifying lines of symmetry in 2D shapes and creating symmetric patterns.

Stations RotationProject-Based Learning
Rotational Symmetry (Informal)

Exploring shapes that look the same after a turn, informally introducing rotational symmetry.

Experiential LearningGallery Walk
Mapping: Grid References

Using grid references to locate positions on a map or grid.

Escape RoomConcept Mapping
Mapping: Directional Language and Paths

Using directional language (e.g., north, south, east, west, left, right) to describe paths and movements.

Simulation GameRole Play
Classifying Quadrilaterals

Classifying quadrilaterals (squares, rectangles, rhombuses, parallelograms, trapezoids) based on their properties.

Hexagonal ThinkingJigsaw

06Data and Probability

5 topics·Term 3

Collecting and interpreting data using various displays and predicting the likelihood of outcomes.

Formulating Questions and Collecting Data

Formulating questions for data collection and gathering data using surveys or simple experiments.

Case Study AnalysisInquiry Circle
Creating Column Graphs

Creating effective column graphs with appropriate labels, scales, and titles to represent collected data.

Project-Based LearningPeer Teaching
Creating Side-by-Side Column Graphs

Creating side-by-side column graphs to compare two related sets of data.

Decision MatrixCollaborative Problem-Solving
Interpreting Data from Column Graphs

Analyzing column graphs to identify trends, draw conclusions, and answer questions about the data.

Expert PanelGallery Walk
Creating and Interpreting Pictographs

Constructing and interpreting pictographs with appropriate scales and keys.

Project-Based LearningPeer Teaching

07Patterns and Algebra

5 topics·Term 4

Exploring number patterns, identifying rules, and using symbols to represent unknown quantities.

Investigating Increasing Number Patterns

Identifying and describing patterns involving addition and multiplication, and predicting next terms.

Carousel BrainstormConcept Mapping
Investigating Decreasing Number Patterns

Identifying and describing patterns involving subtraction and division, and predicting next terms.

Think-Pair-ShareStations Rotation
Input-Output Machines: Finding Rules

Using input-output tables to identify the rule for number patterns involving one operation.

Stations RotationProblem-Based Learning
Input-Output Machines: Applying Rules

Applying given rules to input-output tables to generate missing numbers in patterns.

Collaborative Problem-SolvingFlipped Classroom
Introduction to Variables: Unknowns in Addition/Subtraction

Using symbols to represent unknown quantities in simple addition and subtraction number sentences.

Think-Pair-ShareRAFT Writing

08Financial Mathematics

5 topics·Term 4

Understanding Australian currency, calculating change, and making simple financial decisions.

Australian Coins and Notes

Identifying Australian coins and notes and understanding their value and features.

Experiential LearningRole Play
Counting Money and Making Amounts

Counting collections of Australian currency and making specific amounts using different combinations of coins and notes.

Stations RotationExperiential Learning
Calculating Change from Purchases

Calculating change from purchases and understanding efficient ways to give change.

Simulation GameCase Study Analysis
Needs vs. Wants

Differentiating between needs and wants when making purchasing decisions and understanding their impact.

Philosophical ChairsDecision Matrix
Creating a Basic Budget

Making simple financial decisions and creating a basic budget for a given scenario.

Project-Based LearningCollaborative Problem-Solving