All topics

Mathematics // Multiplication & Division

Multiply and divide with positive and negative integers and rational numbers, understanding the rules for the sign of the product or quotient

Mathematics // Number Representation & Place Value

Order positive and negative integers, decimals, and fractions on a number line; use the symbols =, ≠, <, >, ≤, ≥ to compare values including negative numbers…

Mathematics // Number Representation & Place Value

Understand and use place value for decimals, measures, and integers of any size; extend the number system to include all positive and negative integers…

Mathematics // Number Representation & Place Value

Round numbers and measures to an appropriate degree of accuracy including to a specified number of decimal places or significant figures

Mathematics // Number Representation & Place Value

Use integer powers and associated real roots (square, cube, and higher); recognise powers of 2, 3, 4, and 5; distinguish between exact representations of roots…

Mathematics // Number Representation & Place Value

Understand the absolute value of a rational number as its distance from zero on the number line; interpret absolute value as magnitude in real-world contexts…

Mathematics // Number Representation & Place Value

Use approximation through rounding to estimate answers and calculate possible resulting errors expressed using inequality notation a < x ≤ b; understand upper…

Mathematics // Number Representation & Place Value

Interpret and compare numbers in standard form A × 10ⁿ where 1 ≤ A < 10 and n is an integer; convert between ordinary numbers and standard form

Mathematics // Number Representation & Place Value

Appreciate the infinite nature of the sets of integers, real numbers, and rational numbers; position integers on a number line and distinguish between rational…

Mathematics // Probability

Understand and apply the rule that probabilities of all mutually exclusive outcomes sum to one; use this to find the probability of a complementary event (P(not…

Mathematics // Probability

Understand probability as a measure on a scale from 0 (impossible) to 1 (certain); use the language of probability including likely, unlikely, certain, and…

Mathematics // Probability

Record, describe, and analyse the frequency of outcomes from probability experiments to develop an understanding of relative frequency as an estimate of…

Mathematics // Probability

Generate theoretical sample spaces for single and combined events using listing, tables, and tree diagrams, and calculate theoretical probabilities as the…

Mathematics // Probability

Enumerate sets and their unions and intersections systematically using tables, grids, and Venn diagrams to organise and count outcomes

Mathematics // Probability

Construct and interpret Venn diagrams with two or three sets to organise and count outcomes; use systematic listing and the product rule for counting to…

Mathematics // Ratio & Proportion

Represent ratio and proportion problems using bar models (rectangular strips divided into equal parts labelled with quantities) and tape diagrams (segmented…

Mathematics // Ratio & Proportion

Use compound units such as speed (distance ÷ time), unit pricing (cost ÷ quantity), and density (mass ÷ volume); solve problems involving compound units

Mathematics // Ratio & Proportion

Use scale factors to interpret and create scale diagrams and maps, calculating real-life distances from map measurements and vice versa

Mathematics // Ratio & Proportion

Express one quantity as a fraction of another where the result may be less than 1 or greater than 1, and interpret the meaning in context

Mathematics // Ratio & Proportion

Define percentage as 'number of parts per hundred'; interpret percentages and percentage changes as a fraction or a decimal; express one quantity as a…

Mathematics // Ratio & Proportion

Convert freely between related standard units of measurement (time, length, area, volume/capacity, mass) using decimal notation to up to three decimal places…

Mathematics // Ratio & Proportion

Use ratio notation to describe the relationship between two or more quantities, simplify ratios to their simplest form, and convert between ratio and fraction…

Mathematics // Ratio & Proportion

Divide a given quantity into two parts in a given part:part or part:whole ratio, and express the division as a fraction of the whole

Mathematics // Ratio & Proportion

Know and use advanced vocabulary of multiplicative reasoning — direct proportion, inverse proportion, ratio, rate, unit rate, compound unit, scale factor…