Year 7

Stage 4 · NSW Mathematics syllabus

Computation with integers

Add, subtract, multiply and divide integers. Apply order of operations.

3 sub-topics

Fractions, decimals and percentages

Work with fractions, decimals and percentages, and convert between them.

4 sub-topics

Ratios and rates

Simplify ratios, divide quantities in a ratio, and solve rate problems.

2 sub-topics

Algebraic techniques

Write, simplify and substitute into algebraic expressions. Expand and factorise simple expressions.

3 sub-topics

Equations

Solve one-step and two-step linear equations.

2 sub-topics

Linear relationships

Plot points on the number plane and identify linear patterns from tables and graphs.

2 sub-topics

Angle relationships

Classify angles, identify angle relationships, and apply properties of parallel lines.

2 sub-topics

Properties of geometrical figures

Identify and apply properties of triangles and quadrilaterals.

2 sub-topics

Length

Calculate perimeter of polygons and circumference of circles.

2 sub-topics

Area

Calculate area of triangles, quadrilaterals and composite shapes.

2 sub-topics

Volume

Calculate volume of rectangular and triangular prisms.

1 sub-topic

Pythagoras' theorem

Apply Pythagoras' theorem to find unknown sides in right-angled triangles and solve problems.

3 sub-topics

Indices

Use index notation and apply index laws for multiplication and division.

2 sub-topics

Data classification and visualisation

Classify data types and choose appropriate displays.

2 sub-topics

Data analysis

Calculate and interpret measures of centre and spread.

2 sub-topics

Probability

Calculate theoretical probability and compare with experimental results.

2 sub-topics