Math // Area
Ratio & Proportion
Age coverage
Ages 9 to 14
Starts at age 9 // 2 topics
Starting at age 9
- Bar Models for Ratios
Represent ratio and proportion problems using bar models (rectangular strips divided into equal parts labelled with quantities) and tape diagrams (segmented…
Ages 9 to 12Representation - Percentages (age 9+)
Know and use the vocabulary of ratio and proportion — ratio, proportion, percentage, scale, equivalent, unequal, relative size, part-to-part, part-to-whole, and…
Ages 9 to 11Language
Starts at age 10 // 4 topics
Starting at age 10
Your child is learning to compare quantities and solve problems involving ratios, proportions, percentages, and scale — essential skills for understanding relationships between numbers in real-world contexts.
- Calculating Percentages
Solve problems involving the calculation of percentages of amounts (e.g. 15% of 360) and the use of percentages for comparison
Ages 10 to 11Method - Scale and similar shapes
Solve problems involving similar shapes where the scale factor is known or can be found
Ages 10 to 11Method - Ratio Problems
Solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts
Ages 10 to 11Method - Understanding fractions
Solve problems involving unequal sharing and grouping using knowledge of fractions and multiples
Ages 10 to 11Method
Starts at age 11 // 9 topics
Starting at age 11
- Compound Units
Use compound units such as speed (distance ÷ time), unit pricing (cost ÷ quantity), and density (mass ÷ volume); solve problems involving compound units
Ages 11 to 14Method - Scale and similar shapes (age 11+)
Use scale factors to interpret and create scale diagrams and maps, calculating real-life distances from map measurements and vice versa
Ages 11 to 13Method - One Quantity as a Fraction
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
Ages 11 to 12Concept - Percentages as Fractions
Define percentage as 'number of parts per hundred'; interpret percentages and percentage changes as a fraction or a decimal; express one quantity as a…
Ages 11 to 13Concept - Unit Conversions
Convert freely between related standard units of measurement (time, length, area, volume/capacity, mass) using decimal notation to up to three decimal places…
Ages 11 to 12Method - Ratio Notation
Use ratio notation to describe the relationship between two or more quantities, simplify ratios to their simplest form, and convert between ratio and fraction…
Ages 11 to 12Method - Dividing Quantities by Ratio
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
Ages 11 to 13Method - Proportional Reasoning Vocabulary
Know and use advanced vocabulary of multiplicative reasoning — direct proportion, inverse proportion, ratio, rate, unit rate, compound unit, scale factor…
Ages 11 to 14Language - Proportion Graphs
Represent proportional relationships using double number lines (two parallel number lines aligned at 0) and ratio tables; recognise that equivalent ratios…
Ages 11 to 14Representation
Starts at age 12 // 3 topics
Starting at age 12
- Proportion
Recognise and solve problems involving direct proportion (as one quantity increases, the other increases at a constant rate) and inverse proportion (as one…
Ages 12 to 14Concept - Ratio Notation and Relationships
Understand that a multiplicative relationship between two quantities can be expressed as a ratio; use ratio notation; simplify ratios
Ages 12 to 14Concept - Percentages (age 12+)
Solve problems involving percentage increase, percentage decrease, finding the original value after a percentage change, and calculating simple interest
Ages 12 to 14Method