Australia · ACARA Content Descriptions
Year 7 Mathematics
This course transitions students from primary arithmetic to secondary mathematical thinking by emphasizing abstraction and generalized patterns. Students engage with proportional reasoning, algebraic manipulation, and geometric properties to solve complex real world problems.
The Language of Number
Exploring the properties of integers, including index notation and the importance of prime factorisation in understanding number structure.
Visualising and comparing positive and negative integers in practical contexts like temperature and debt.
Breaking numbers down into their fundamental building blocks using factor trees and power notation.
Patterns and Variable Thinking
Moving from arithmetic patterns to the use of variables and the construction of simple algebraic expressions.
Identifying visual and numerical sequences and describing them using words and algebraic symbols.
Using the balance scale model to solve one step and two step linear equations.
Proportional Reasoning
Connecting fractions, decimals, and percentages as different ways to represent the same proportional relationship.
Deepening understanding of fraction equivalence and the logic behind four operations with fractions.
Applying decimal and percentage calculations to financial literacy and data interpretation.
Understanding constant relationships between quantities and comparing rates in everyday life.
Measuring the World
Calculating the dimensions of 2D shapes and 3D objects using standard units and formulas.
Developing and applying formulas for the area of rectangles, triangles, and parallelograms.
Investigating the space occupied by right prisms and the relationship between volume and liquid capacity.
Geometric Reasoning
Classifying shapes and using angle properties to solve geometric puzzles and construction challenges.
Identifying and measuring angles formed by intersecting and parallel lines.
Exploring translations, reflections, and rotations on the Cartesian plane.
Data and Chance
Collecting, representing, and interpreting data while calculating the likelihood of events occurring.
Using mean, median, mode, and range to describe and compare data sets.
Representing the likelihood of outcomes using fractions, decimals, and percentages.