Grade 7

Understand positive and negative integers, order integers on a number line, and add, subtract, multiply and divide integers using sign rules.

Master comprehensive divisibility rules, find the HCF and LCM of three numbers using prime factorisation, and apply HCF and LCM to fractions and real-world problems.

Explore square numbers, cube numbers, square roots and cube roots, write repeated multiplication using exponential notation and apply the zero and first power rules.

Convert between mixed numbers and improper fractions, and add, subtract, multiply and divide fractions including mixed numbers.

Add, subtract, multiply and divide decimal fractions, round decimals to any number of decimal places and solve decimal word problems involving money.

Calculate percentage increases and decreases, apply the simple interest formula, and solve financial maths problems involving profit, loss, budgets and accounts.

Simplify ratios, divide amounts in a ratio, compare ratios, calculate rates and speeds, and solve proportion problems including scale and real-world applications.

Identify rules for numeric patterns including linear and quadratic sequences, complete tables of values, write nth term formulas, and plot and interpret straight line and curved graphs.

Identify terms, coefficients and constants, evaluate expressions by substitution, recognise like and unlike terms, and simplify expressions by collecting like terms.

Write equations from word problems, solve one-step and two-step equations using inverse operations, and apply algebraic equations to real-world problems.

Identify and classify triangles and quadrilaterals by their properties, find missing angles using the triangle and quadrilateral angle sum rules, and explore the parts of a circle including radius, diameter, chord and circumference.

Calculate the surface area of cubes and rectangular prisms, find the volume of prisms and cylinders, and solve real-world problems involving 3D measurement.

Classify angles, find unknown angles on a straight line and around a point, use vertically opposite angles, and apply corresponding, alternate and co-interior angle rules with parallel lines.

Measure and draw line segments and angles accurately with a ruler and protractor, construct perpendicular and parallel lines, and construct triangles given three side lengths.

Apply reflection, translation and rotation to points and shapes on a coordinate grid, describe image positions using coordinate rules, and solve multi-step transformation problems.

Calculate the perimeter of squares and rectangles, find the area of triangles, squares and rectangles, and calculate the surface area and volume of cubes and rectangular prisms.

Collect and organise data using stem-and-leaf displays, calculate mean, median, mode and range, and represent and interpret data using bar graphs, double bar graphs and pie charts.

Describe probability on a scale from 0 to 1, calculate probability as a fraction of favourable over total outcomes, conduct experiments to find relative frequency, and compare experimental results to theoretical probability.