Math // Area
Fractions
Age coverage
Ages 5 to 13
Starts at age 5 // 2 topics
Starting at age 5
Your child is discovering their first fractions — learning to recognise and name halves and quarters as equal parts of shapes, objects, and groups.
- What Is a Half?
Recognise, find, and name a half as one of two equal parts of an object, shape, or quantity
Ages 5 to 6Concept - Finding halves and quarters (age 5+)
Recognise, find, and name a quarter as one of four equal parts of an object, shape, or quantity
Ages 5 to 6Concept
Starts at age 6 // 5 topics
Starting at age 6
Your child is beginning to understand fractions by dividing shapes and objects into equal parts, learning to recognize and write simple fractions like halves, quarters, and thirds.
- Fractions of amounts
Recognise, find, name, and write fractions 1/3, 1/4, 2/4, and 3/4 of a length, shape, set of objects, or quantity
Ages 6 to 7Concept - Fraction Notation
Read, write, and use fraction notation correctly — fraction, numerator, denominator, unit fraction, non-unit fraction, proper fraction, improper fraction, mixed…
Ages 6 to 9Language - Decomposing a shape into more equal shares
Understand that decomposing a shape into more equal shares creates smaller shares
Ages 6 to 7Concept - Halves & Quarters of Shapes
Partition circles and rectangles into two and four equal shares and describe them using the words halves, fourths, and quarters
Ages 6 to 7Concept - Understanding fractions
Write simple fractions (e.g. 1/2 of 6 = 3) and recognise the equivalence of 2/4 and 1/2
Ages 6 to 7Concept
Starts at age 7 // 8 topics
Starting at age 7
Your child is discovering fractions as parts of a whole — understanding halves, thirds, and quarters, placing fractions on number lines, and beginning to add and subtract simple fractions.
- Tenths
Count up and down in tenths; recognise that tenths arise from dividing an object into 10 equal parts and from dividing one-digit numbers or quantities by 10
Ages 7 to 8Concept - Fractions on a number line
Recognise and use fractions as numbers: place unit fractions and non-unit fractions with small denominators on a number line
Ages 7 to 8Representation - Splitting shapes into equal parts (age 7+)
Partition circles and rectangles into two, three, or four equal shares; describe shares as halves, thirds, and fourths; recognise that equal shares of identical…
Ages 7 to 8Concept - Equivalent fractions
Recognise and show, using diagrams, equivalent fractions with small denominators
Ages 7 to 8Concept - Simple Fraction Sums
Add and subtract fractions with the same denominator within one whole (e.g. 5/7 + 1/7 = 6/7)
Ages 7 to 8Method - Comparing fractions
Compare and order unit fractions, and fractions with the same denominator
Ages 7 to 8Method - Unit fractions
Recognise, find, and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators
Ages 7 to 8Concept - Comparing fractions (age 7+)
Solve problems involving counting in tenths, fractions of quantities, equivalence, fraction addition/subtraction, and fraction comparison
Ages 7 to 8Thinking skill
Starts at age 8 // 17 topics
Starting at age 8
Your child is developing a deeper understanding of fractions and decimals — learning to add and subtract fractions, convert between fractions and decimals, and use them to solve practical problems involving measurements and money.
- Fractions of a whole
Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a/b as a parts of size 1/b
Ages 8 to 9Concept - Equivalent fractions on a number line
Understand two fractions as equivalent if they are the same size or the same point on a number line; recognise and show families of common equivalent fractions…
Ages 8 to 9Representation - Equivalent fractions (age 8+)
Generate simple equivalent fractions and explain why they are equivalent using visual fraction models
Ages 8 to 9Method - Fractions on a number line (age 8+)
Represent fractions on a number line: partition the interval 0 to 1 into b equal parts to locate 1/b, then mark off a lengths of 1/b from 0 to locate a/b
Ages 8 to 9Representation - Decimal equivalents of tenths and hundredths
Recognise and write decimal equivalents of any number of tenths or hundredths (e.g. 3/10 = 0.3, 27/100 = 0.27)
Ages 8 to 9Concept - Tenths (age 8+)
Count up and down in hundredths; recognise that hundredths arise when dividing an object by 100 or dividing tenths by 10
Ages 8 to 9Concept - Decimal & Percent Notation
Read, write, and use decimal and percentage notation correctly — decimal, decimal point, tenths, hundredths, thousandths, percentage, per cent, % symbol…
Ages 8 to 11Language - Fraction-Decimal Equivalents
Recognise and write decimal equivalents of 1/4, 1/2, and 3/4
Ages 8 to 9Concept - Decimal place value (age 8+)
Compare numbers with the same number of decimal places up to two decimal places
Ages 8 to 9Method - Dividing by 10 and 100
Find the effect of dividing a one- or two-digit number by 10 and 100, identifying the value of the digits as ones, tenths, and hundredths
Ages 8 to 9Method - Adding Fractions (Same Denominator)
Add and subtract fractions with the same denominator, including results greater than one whole (e.g. 5/8 + 6/8 = 11/8)
Ages 8 to 9Method - Comparing fractions (age 8+)
Compare two fractions with the same numerator or the same denominator by reasoning about size; record comparisons with >, =, or < symbols
Ages 8 to 9Method - Fractions of a whole (age 8+)
Express whole numbers as fractions (e.g. 3 = 3/1) and recognise fractions equivalent to whole numbers (e.g. 4/4 = 1, 6/1 = 6)
Ages 8 to 9Concept - Fractions of amounts (harder)
Solve problems involving increasingly harder fractions to calculate quantities, including non-unit fractions where the answer is a whole number
Ages 8 to 9Method - Decimals and fractions
Solve simple measure and money problems involving fractions and decimals to two decimal places
Ages 8 to 9Method - Decimal place value
Round decimals with one decimal place to the nearest whole number
Ages 8 to 9Method - Fractions as parts of shapes
Partition shapes into parts with equal areas and express the area of each part as a unit fraction of the whole
Ages 8 to 9Concept
Starts at age 9 // 18 topics
Starting at age 9
Your child is exploring fractions, decimals, and percentages — understanding how they relate to each other, adding and subtracting fractions, and solving real-world problems involving these concepts.
- Equivalent fractions (age 9+)
Explain why a fraction a/b is equivalent to (n×a)/(n×b) using visual models; use this principle to recognise and generate equivalent fractions, including tenths…
Ages 9 to 10Concept - Decimals for Tenths & Hundredths
Use decimal notation for fractions with denominators 10 or 100; read and write decimal numbers as fractions (e.g. 0.62 = 62/100, 0.71 = 71/100)
Ages 9 to 10Method - Converting tenths to hundredths
Express a fraction with denominator 10 as an equivalent fraction with denominator 100 and use this to add fractions with denominators 10 and 100 (e.g. 3/10 +…
Ages 9 to 10Method - Tenths (age 9+)
Recognise and use thousandths; relate them to tenths, hundredths, and their decimal equivalents (e.g. 1/1000 = 0.001, 35/1000 = 0.035)
Ages 9 to 10Concept - Understanding fractions (age 9+)
Understand a fraction a/b with a > 1 as a sum of fractions 1/b (e.g. 3/5 = 1/5 + 1/5 + 1/5)
Ages 9 to 10Concept - Comparing Decimals
Compare two decimals to hundredths (or up to three decimal places) by reasoning about size using place-value understanding; record with >, =, <
Ages 9 to 10Method - Multiplying fractions
Understand a/b as a multiple of 1/b; multiply proper fractions and mixed numbers by whole numbers, supported by visual models (e.g. 3 × 2/5 = 6/5 = 1 1/5)
Ages 9 to 10Method - Percentage and decimal equivalents
Solve problems requiring knowledge of percentage and decimal equivalents of 1/2, 1/4, 1/5, 2/5, 4/5 and fractions with denominators that are multiples of 10 or…
Ages 9 to 10Method - Understanding Percentages
Understand the per cent symbol (%); know that per cent means ‘number of parts per hundred’; write percentages as a fraction with denominator 100 and as a…
Ages 9 to 10Concept - Adding fractions (different denominators)
Add and subtract fractions with denominators that are multiples of the same number by finding a common denominator
Ages 9 to 10Method - Comparing fractions (age 9+)
Compare and order fractions with different numerators and denominators by creating common denominators/numerators or comparing to a benchmark such as 1/2…
Ages 9 to 10Method - Fraction Addition Concepts
Understand addition and subtraction of fractions as joining and separating parts; decompose a fraction into a sum of fractions with the same denominator in more…
Ages 9 to 10Method - Decimals to three places
Solve problems involving numbers with up to three decimal places
Ages 9 to 10Method - Mixed numbers and improper fractions
Recognise mixed numbers and improper fractions; convert from one form to the other (e.g. 2/5 + 4/5 = 6/5 = 1 1/5)
Ages 9 to 10Method - Adding and subtracting mixed numbers
Add and subtract mixed numbers with like denominators, including by converting to improper fractions or using properties of operations
Ages 9 to 10Method - Addition and subtraction word problems
Solve word problems involving addition and subtraction of fractions with like denominators, using visual models and equations
Ages 9 to 10Method - Decimal place value (age 9+)
Round decimals with two decimal places to the nearest whole number and to one decimal place
Ages 9 to 10Method - Fractions of a whole (age 9+)
Solve word problems involving multiplication of a fraction by a whole number using visual models and equations
Ages 9 to 10Method
Starts at age 10 // 13 topics
Starting at age 10
Your child is mastering advanced fraction operations — adding, subtracting, and multiplying fractions with different denominators, dividing with fractions, and solving real-world problems using visual models and mathematical reasoning.
- Decimals and fractions (age 10+)
Associate a fraction with division and calculate decimal fraction equivalents for simple fractions (e.g. 3/8 = 0.375); recall and use equivalences between…
Ages 10 to 11Concept - Fractions of a whole (age 10+)
Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b); solve word problems involving division of whole numbers leading to…
Ages 10 to 11Concept - Simplifying Fractions
Use common factors to simplify fractions to their simplest form; use common multiples to express fractions with a common denominator
Ages 10 to 11Method - Dividing fractions (unit fractions)
Interpret and compute division of a unit fraction by a non-zero whole number (e.g. 1/3 ÷ 4 = 1/12); use visual models and the relationship between…
Ages 10 to 11Concept - Area with Fractions
Find the area of a rectangle with fractional side lengths by tiling with unit-fraction squares; show that the area equals the product of the side lengths
Ages 10 to 11Representation - Dividing unit fractions and whole numbers
Solve real-world problems involving division of unit fractions by whole numbers and whole numbers by unit fractions, using visual models and equations
Ages 10 to 11Method - Multiplication as scaling
Interpret multiplication as scaling (resizing): compare the size of a product to a factor based on the size of the other factor without computing; explain the…
Ages 10 to 11Concept - Dividing by Fractions
Interpret and compute division of a whole number by a unit fraction (e.g. 4 ÷ 1/5 = 20); use visual models and the relationship between multiplication and…
Ages 10 to 11Concept - Real-world fraction multiplication
Solve real-world problems involving multiplication of fractions and mixed numbers, using visual fraction models or equations
Ages 10 to 11Method - Multiplying fractions (age 10+)
Multiply a fraction or whole number by a fraction, including proper fractions by proper fractions; interpret (a/b) × q as a parts of q partitioned into b equal…
Ages 10 to 11Method - Adding Fractions (Unlike Denominators)
Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions to produce a common…
Ages 10 to 11Method - Fraction Word Problems
Solve word problems involving addition and subtraction of fractions with unlike denominators, using visual models and benchmark fractions to estimate and assess…
Ages 10 to 11Method - Comparing fractions (age 10+)
Compare and order fractions including fractions greater than 1, by converting to common denominators or using benchmarks
Ages 10 to 11Method
Starts at age 11 // 4 topics
Starting at age 11
- Multiplying fractions (age 11+)
Interpret fractions and percentages as operators — find a fraction or percentage of an amount by multiplying, understanding that 'of' means multiply (e.g., 3/4…
Ages 11 to 12Method - Mixed & Improper Fractions
Use the four operations with formal written methods applied to integers, decimals, proper and improper fractions, and mixed numbers, all both positive and…
Ages 11 to 13Method - Decimals and fractions (age 11+)
Work interchangeably with terminating decimals and their corresponding fractions (such as 3.5 and 7/2 or 0.375 and 3/8); convert fluently between the two forms
Ages 11 to 13Method - Dividing fractions
Divide a fraction by a fraction using the 'keep-change-flip' method and visual models; interpret and solve word problems involving division of fractions by…
Ages 11 to 12Method