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.
01The Language of Number
Exploring the properties of integers, including index notation and the importance of prime factorisation in understanding number structure.
Students will define integers and represent them on a number line, understanding their use in real-world contexts.
Students will practice addition and subtraction of integers using number lines and conceptual models.
Students will learn and apply the rules for multiplying and dividing integers, including understanding the sign rules.
Students will define and calculate the absolute value of integers and identify opposite numbers.
Students will understand and use index notation to represent repeated multiplication.
Students will identify prime and composite numbers and understand their fundamental properties.
Students will use factor trees and division to find the prime factorization of composite numbers.
Students will find the HCF of two or more numbers using prime factorization and other methods.
Students will find the LCM of two or more numbers using prime factorization and other methods.
Students will apply the correct order of operations to evaluate complex numerical expressions.
02Patterns and Variable Thinking
Moving from arithmetic patterns to the use of variables and the construction of simple algebraic expressions.
Students will identify visual and numerical sequences and describe them using words.
Students will describe numerical and visual patterns using algebraic symbols and variables.
Students will translate word phrases into algebraic expressions and vice versa.
Students will substitute numerical values into algebraic expressions and evaluate them.
Students will understand the concept of an equation as a balance and identify its components.
Students will solve linear equations involving addition and subtraction using inverse operations.
Students will solve linear equations involving multiplication and division using inverse operations.
Students will solve linear equations requiring two inverse operations.
Students will translate real-world scenarios into algebraic equations and solve them.
03Proportional Reasoning
Connecting fractions, decimals, and percentages as different ways to represent the same proportional relationship.
Students will identify and create equivalent fractions and simplify fractions to their lowest terms.
Students will compare and order fractions with different denominators.
Students will add and subtract fractions with different denominators using common multiples.
Students will perform multiplication with fractions and mixed numbers.
Students will perform division with fractions and mixed numbers.
Students will understand decimal place value and represent decimals.
Students will perform addition, subtraction, multiplication, and division with decimals.
Students will understand percentages as 'parts per hundred' and represent them.
Students will fluently convert numbers between fraction, decimal, and percentage forms.
Students will calculate a percentage of a given quantity.
Students will calculate percentage changes and apply them to financial scenarios like discounts and interest.
Students will understand ratios as a comparison of two or more quantities.
Students will simplify ratios to their simplest form and understand equivalent ratios.
04Measuring the World
Calculating the dimensions of 2D shapes and 3D objects using standard units and formulas.
Students will identify and convert between different metric units of length (mm, cm, m, km).
Students will identify and convert between different metric units of mass (g, kg) and capacity (mL, L).
Students will calculate the perimeter of various polygons, including composite shapes.
Students will develop and apply formulas for the area of rectangles and squares.
Students will develop and apply the formula for the area of parallelograms.
Students will develop and apply the formula for the area of triangles.
Students will calculate the area of shapes composed of rectangles, triangles, and parallelograms.
Students will investigate the space occupied by rectangular prisms and apply the volume formula.
Students will apply formulas to calculate the volume of triangular prisms.
05Geometric Reasoning
Classifying shapes and using angle properties to solve geometric puzzles and construction challenges.
Students will classify angles as acute, obtuse, right, straight, or reflex and measure them with a protractor.
Students will apply angle properties to solve problems involving angles around a point and on a straight line.
Students will identify and use vertically opposite angles to solve problems.
Students will identify corresponding, alternate, and co-interior angles formed by parallel lines and a transversal.
Students will apply the angle sum property to find unknown angles in triangles.
Students will apply the angle sum property to find unknown angles in quadrilaterals.
Students will plot points and identify coordinates on the Cartesian plane.
Students will perform and describe translations of 2D shapes using coordinate notation.
06Data and Chance
Collecting, representing, and interpreting data while calculating the likelihood of events occurring.
Students will collect categorical and numerical data and organize it into frequency tables.
Students will construct and interpret bar graphs and pictographs for categorical data.
Students will construct and interpret dot plots and simple histograms for numerical data.
Students will calculate the mean, median, and mode for various data sets.
Students will interpret the mean, median, and mode in context and choose the most appropriate measure.
Students will calculate and interpret the range of a data set to understand its spread.
Students will understand probability as the likelihood of events and use appropriate language.
Students will calculate the theoretical probability of simple events.
Students will conduct experiments, record outcomes, and calculate experimental probability.