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.
The 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.
Proportional 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.
Algebraic 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.
The 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 translating shapes across all four quadrants of the coordinate plane.
Comparing and constructing 3D objects based on their nets and properties.
Measuring 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.
Data, 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.