Working with perfect squares, square roots, and estimating roots of non-perfect squares.
Breaking numbers down into prime factors and writing them with index (exponent) notation.
Writing large whole numbers in expanded form using place value and powers of 10.
Finding equivalent fractions and decimals, and comparing and ordering them on a number line.
Rounding decimals to a given accuracy and using estimation to check answers are reasonable.
Converting between fractions, decimals and percentages, and finding a percentage of a quantity.
Comparing, ordering, adding and subtracting positive and negative numbers.
Adding, subtracting, multiplying and dividing fractions and mixed numbers.
Adding, subtracting, multiplying and dividing decimals in everyday contexts.
Writing, simplifying and comparing ratios, and dividing a quantity in a given ratio.
Solving real-world money problems involving GST, wages, discounts, simple interest and best buys.
Using variables to write everyday formulas and substituting values in to find an unknown.
Translating worded descriptions into algebraic expressions using variables, operations and brackets.
Solving one-step, two-step and both-sides linear equations, and checking by substitution.
Reading, describing and predicting trends from graphs based on real data.
Generating tables of values from a rule or growing pattern and plotting the points on the Cartesian plane.
Rearranging formulas to change the subject and describing the effect of varying each variable.
Using area formulas for triangles and parallelograms, including finding a missing base or height.
Calculating the volume of rectangular and triangular prisms, including finding a missing dimension.
Exploring how π connects a circle's radius, diameter, circumference and area.
Solving real-world ratio problems — scale drawings, recipes and mixtures — by formulating and interpreting a model.
Using nets and 2D drawings to represent 3D objects, and counting faces, edges and vertices.
Classifying shapes by their side and angle properties and reasoning about how shape families relate.
Translating, reflecting and rotating points and shapes using coordinates.
Identifying corresponding, alternate and co-interior angles on parallel lines to find unknown angles.
Designing and tracing step-by-step flowchart algorithms that classify shapes by their attributes.
Using the 180° triangle angle sum to find unknown angles in triangles, quadrilaterals and polygons.
Calculating the mean, median, mode and range, and choosing the best measure for a data set.
Building stem-and-leaf and dot plots, and describing a distribution's shape, centre and spread.
Planning and carrying out an investigation, then interpreting the data and reporting the findings.