Australia · ACARA Content Descriptions
Year 6 Mathematics
A comprehensive exploration of Year 6 mathematics focusing on proportional reasoning, algebraic thinking, and geometric properties. Students develop fluencies through inquiry-based challenges that connect abstract concepts to real world applications.
01The Power of Number Systems
Students deepen their understanding of place value, integers, and the properties of prime and composite numbers.
Identifying and categorizing numbers based on their factor pairs and divisibility rules.
Exploring positive and negative integers through real world scenarios like temperature and debt.
Representing repeated multiplication using square and cubic numbers.
Extending understanding of place value to numbers up to millions, including decimals.
Investigating common multiples and factors to solve problems involving grouping and sharing.
Developing and applying efficient mental strategies for addition, subtraction, multiplication, and division.
02Proportional Reasoning and Parts
Connecting fractions, decimals, and percentages to understand parts of a whole.
Comparing and ordering fractions with unrelated denominators using common multiples.
Calculating percentages of amounts and applying them to financial literacy scenarios.
Multiplying and dividing decimals by whole numbers and powers of ten.
Performing addition and subtraction of fractions with different denominators.
Understanding the concept of multiplying fractions by whole numbers through repeated addition and visual models.
Introducing ratios to compare quantities and rates to compare quantities with different units.
03Algebraic Thinking and Patterns
Exploring number patterns and the use of variables to describe mathematical relationships.
Identifying rules that describe the relationship between two sets of numbers.
Using letters to represent unknown quantities in simple equations.
Applying the rules of BODMAS to solve multi step problems accurately.
Analyzing and completing input-output tables to discover and apply algebraic rules.
Solving simple linear equations involving one variable using inverse operations.
Exploring the concept of equality in equations and maintaining balance when performing operations.
04The Geometry of Space
Investigating the properties of angles, 2D shapes, and 3D objects within the Cartesian plane.
Measuring and classifying angles formed by intersecting lines and within triangles.
Plotting points and describing paths on a coordinate plane using the first quadrant.
Comparing and constructing 3D objects based on their nets and properties.
Classifying quadrilaterals and other polygons based on their properties (sides, angles, symmetry).
Exploring line and rotational symmetry, and performing reflections, rotations, and translations.
Drawing 3D objects from different perspectives and interpreting 2D representations.
05Measuring the World
Developing precision in measuring length, area, volume, and mass using metric units.
Calculating the area of rectangles, triangles, and parallelograms.
Connecting the volume of containers to their liquid capacity using metric conversions.
Using scales and units to measure mass and understanding the impact of gravity.
Converting between different metric units of length, mass, and capacity.
Reading and interpreting timetables, and calculating elapsed time across different time zones.
Reading and interpreting temperatures using the Celsius scale in various contexts.
06Data, Chance and Probability
Analyzing data sets and calculating the likelihood of events using fractions and decimals.
Analyzing side by side column graphs and line graphs to identify trends.
Expressing the probability of outcomes as fractions, decimals, and percentages.
Calculating averages to summarize data sets and identify outliers.
Creating appropriate data displays, including column graphs, line graphs, and pie charts, from given data.
Understanding the range as a measure of spread and identifying outliers in data sets.
Conducting experiments to compare theoretical probability with experimental results.
07Financial Mathematics
Applying mathematical skills to real-world financial scenarios, including budgeting, saving, and simple interest.
Exploring different ways people earn income (wages, salary, commission) and calculating gross pay.
Understanding the difference between needs and wants, and the importance of saving money.
Understanding the concept of saving money and basic ideas of how money can grow over time.
Creating and managing personal budgets, tracking income and expenses.
Comparing prices and using unit pricing to determine the best value for money.
Introducing the concept of simple interest and calculating it for basic scenarios.
Exploring the consequences of different financial choices, such as borrowing and spending.
08Problem Solving and Investigations
Applying a range of mathematical strategies to solve complex, multi-step problems and conduct open-ended investigations.
Exploring and applying various problem-solving strategies such as working backwards, drawing diagrams, and looking for patterns.
Engaging in open-ended mathematical investigations, formulating questions, and exploring solutions.