Math // Area
Number Representation & Place Value
Age coverage
Ages 5 to 14
Starts at age 5 // 4 topics
Starting at age 5
Your child is building number foundations — learning to read and write numbers up to 100, understanding number words, and beginning to see how numbers are built from tens and ones.
- Reading and writing numbers to 20
Read and write numerals from 0 to 20
Ages 5 to 6Method - The teen numbers
Understand that the teen numbers (11–19) are composed of ten ones and some further ones (early place value)
Ages 5 to 7Concept - Number Words to Twenty
Read and write number words from one to twenty
Ages 5 to 6Language - Reading and writing numbers to 100
Read and write numerals from 0 to 100
Ages 5 to 6Method
Starts at age 6 // 9 topics
Starting at age 6
Your child is learning how numbers work by understanding place value — discovering that in two-digit numbers, each digit has a different value depending on whether it represents tens or ones.
- A Ten Is Ten Ones
Understand that 10 can be thought of as a bundle of ten ones — called a 'ten'
Ages 6 to 7Concept - The two digits of a two-digit number
Understand that the two digits of a two-digit number represent amounts of tens and ones
Ages 6 to 7Concept - Comparing and ordering numbers
Compare and order two-digit numbers using the symbols >, =, and <, based on place value understanding
Ages 6 to 7Method - Representing Numbers
Identify, represent, and estimate numbers using different representations including the number line
Ages 6 to 8Representation - 10 More or 10 Less
Mentally find 10 more or 10 less than a given two-digit number without counting
Ages 6 to 7Method - Number Words to 100
Read and write numbers to at least 100 in words
Ages 6 to 7Language - Place value understanding and number facts
Use place value understanding and number facts to solve problems
Ages 6 to 7Thinking skill - The multiples of 10
Understand that the multiples of 10 (10, 20, 30 … 90) represent one to nine tens and 0 ones
Ages 6 to 7Concept - Reading and writing numbers to 120
Count to 120 starting at any number less than 120; read and write numerals to 120
Ages 6 to 7Method
Starts at age 7 // 8 topics
Starting at age 7
Your child is mastering larger numbers — learning to read, write, and work with numbers up to 1000 by understanding how hundreds, tens, and ones work together.
- A Hundred Is Ten Tens
Understand that 100 can be thought of as a bundle of ten tens — called a 'hundred'
Ages 7 to 8Concept - The three digits of a three-digit number
Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones
Ages 7 to 8Concept - Ordering Numbers to 1000
Compare and order numbers up to 1000 using >, =, and < symbols, based on place-value understanding
Ages 7 to 8Method - The multiples of 100
Understand that the multiples of 100 (100–900) each represent a number of hundreds with 0 tens and 0 ones
Ages 7 to 8Concept - Reading and writing numbers to 1000
Read and write numbers to 1000 in numerals, number names, and expanded form
Ages 7 to 8Method - 10 or 100 More or Less
Find 10 or 100 more or less than a given number up to 1000
Ages 7 to 8Method - Place Value to 1000
Solve number problems and practical problems involving place value of numbers up to 1000
Ages 7 to 8Thinking skill - Odd or Even
Determine whether a group of objects (up to 20) has an odd or even number of members
Ages 7 to 8Concept
Starts at age 8 // 8 topics
Starting at age 8
Your child is working with larger numbers up to 10,000 — understanding place value in four-digit numbers, learning to round numbers, and exploring negative numbers and Roman numerals.
- Place value of each digit
Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones)
Ages 8 to 9Concept - Comparing Large Numbers
Order and compare numbers beyond 1000
Ages 8 to 9Method - Negative Numbers
Count backwards through zero to include negative numbers
Ages 8 to 9Concept - Rounding to 10, 100, 1000
Round any number to the nearest 10, 100, or 1000
Ages 8 to 9Method - Numbers to 10,000
Identify, represent, and estimate numbers up to 10,000 using different representations
Ages 8 to 9Representation - Place Value Problem-Solving
Solve number and practical problems involving place value with increasingly large positive numbers
Ages 8 to 9Thinking skill - 1000 More or Less
Find 1000 more or less than a given number
Ages 8 to 9Method - Roman numerals to 100
Read Roman numerals to 100 (I to C) and understand that the numeral system changed over time to include zero and place value
Ages 8 to 9Concept
Starts at age 9 // 7 topics
Starting at age 9
Your child is working with larger numbers up to 1 million — understanding place value, rounding to different levels of accuracy, and beginning to work with negative numbers in everyday contexts.
- Place Value × 10 Pattern
Recognise that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right (e.g. 700 ÷ 70 = 10)
Ages 9 to 10Concept - Reading and writing numbers (age 9+)
Read, write, order, and compare whole numbers up to at least 1,000,000 using base-ten numerals, number names, expanded form, and place-value understanding
Ages 9 to 10Method - Negative numbers in context
Interpret negative numbers in context (temperature, sea level, bank balance); count forwards and backwards with positive and negative whole numbers, including…
Ages 9 to 10Concept - Rounding Large Numbers
Round any whole number up to 1,000,000 to the nearest 10, 100, 1,000, 10,000, or 100,000 using place-value understanding
Ages 9 to 10Method - Working with Large Numbers
Solve number and practical problems involving reading, writing, ordering, comparing, and rounding whole numbers up to 1,000,000
Ages 9 to 10Method - Counting forwards and backwards (age 9+)
Count forwards and backwards in steps of powers of 10 (10, 100, 1000, 10,000, 100,000) for any given number up to 1,000,000
Ages 9 to 10Method - Roman numerals to 1000
Read Roman numerals to 1000 (M) and recognise years written in Roman numerals
Ages 9 to 10Concept
Starts at age 10 // 8 topics
Starting at age 10
Your child is mastering large numbers and decimals — reading, writing, and comparing numbers up to 10 million, understanding how decimal places work, and using negative numbers in real-world contexts like temperature and money.
- Place Value × 10 and ÷ 10
Recognise that in a multi-digit number, a digit in one place represents 10 times as much as in the place to its right and 1/10 of what it represents in the…
Ages 10 to 11Concept - Reading and writing numbers (age 10+)
Read, write, and compare decimals to thousandths using base-ten numerals, number names, and expanded form; compare using >, =, < based on place-value meaning
Ages 10 to 11Method - Numbers to Ten Million
Solve number and practical problems involving reading, writing, ordering, comparing, rounding, and negative numbers up to 10,000,000
Ages 10 to 11Method - Reading and writing numbers to 10,000,000
Read, write, order, and compare numbers up to 10,000,000 and determine the value of each digit
Ages 10 to 11Method - Reading Decimal Places
Identify the value of each digit in numbers given to three decimal places (e.g. in 4.378, the 7 represents 7 hundredths)
Ages 10 to 11Concept - Decimal place value
Round decimals to any place using place-value understanding; round any whole number to a required degree of accuracy
Ages 10 to 11Method - Measuring temperature
Use negative numbers in context (temperature, finance, sea level); calculate intervals across zero
Ages 10 to 11Method - Patterns with Powers of Ten
Explain patterns in zeros when multiplying by powers of 10 and in decimal-point placement when multiplying/dividing by a power of 10; use whole-number exponents…
Ages 10 to 11Concept
Starts at age 11 // 5 topics
Starting at age 11
- Fractions on a number line (age 11+)
Order positive and negative integers, decimals, and fractions on a number line; use the symbols =, ≠, <, >, ≤, ≥ to compare values including negative numbers…
Ages 11 to 12Representation - Fractions on a number line
Understand and use place value for decimals, measures, and integers of any size; extend the number system to include all positive and negative integers…
Ages 11 to 12Concept - Decimal place value (age 11+)
Round numbers and measures to an appropriate degree of accuracy including to a specified number of decimal places or significant figures
Ages 11 to 13Method - Square and cube numbers
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…
Ages 11 to 14Method - Numbers on a number line
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…
Ages 11 to 12Concept
Starts at age 12 // 2 topics
Starting at age 12
- Estimating by rounding
Use approximation through rounding to estimate answers and calculate possible resulting errors expressed using inequality notation a < x ≤ b; understand upper…
Ages 12 to 14Method - Powers of Ten Notation
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
Ages 12 to 14Method
Starts at age 13 // 1 topic
Starting at age 13
- Number Sets & Infinity
Appreciate the infinite nature of the sets of integers, real numbers, and rational numbers; position integers on a number line and distinguish between rational…
Ages 13 to 14Concept