Chapter library

Chapter 1: The 2 times table: counting in groups of 2

• Can recall and use the 2 times table facts

Year 2 maths

Chapter 2: Odd and even numbers: making pairs

• Can tell if a number is odd or even, by making pairs and checking the last digit

Year 2 maths

Chapter 3: The 10 times table: counting in groups of 10

• Can recall and use the 10 times table facts

Year 2 maths

Chapter 4: The 5 times table: counting in groups of 5

• Can recall and use the 5 times table facts

Year 2 maths

Chapter 5: Division facts for the 2, 5 and 10 times tables: sharing and grouping

• Can use the 2, 5 and 10 times tables to divide, by sharing or making equal groups

Year 2 maths

Chapter 1: The +, − and = signs: reading and writing number sentences

• Can read and write number sentences with +, − and =, and knows that = means 'is the same as'

Year 1 maths

Chapter 2: Adding one-digit and two-digit numbers to 20, including 0

• Can add one-digit and two-digit numbers to 20, including adding 0

Year 1 maths

Chapter 3: Subtracting one-digit and two-digit numbers within 20, including 0

• Can take away (subtract) one-digit and two-digit numbers within 20, including 0

Year 1 maths

Chapter 4: One-step story problems with objects and pictures

• Can solve one-step story problems by acting them out with objects or pictures and choosing + or −

Year 1 maths Year 1 maths

Chapter 5: Missing number problems like 7 = ? − 9

• Can find missing numbers in number sentences, like 5 + ? = 8 and 7 = ? − 9

Year 1 maths Year 1 maths

Chapter 1: Bonds to 10

• Can quickly find number bonds to 10 and to 100, like 7 + 3 and 60 + 40

Chapter 2: Hop and add

• Can add ones and tens in their head by counting on, like 47 + 30

Chapter 3: Swap it!

• Can add numbers in any order and spot pairs that make 10 to add three numbers

Chapter 4: Hop back

• Can take away ones and tens in their head by counting back

Chapter 5: Check it!

• Can check an addition with a subtraction (and the other way round)

Chapter 6: Column adding

• Can add two- and three-digit numbers with the column method, carrying when needed

Chapter 7: Column taking away

• Can subtract three-digit numbers with the column method, exchanging when needed

Chapter 1: Column addition: lining up and adding 4-digit numbers

• Can add numbers with up to 4 digits using column addition, lining up the digits and exchanging when a column makes 10 or more

Year 4 maths

Chapter 2: Column addition with exchanging (carrying ten)

• Can add numbers with up to 4 digits using column addition, lining up the digits and exchanging when a column makes 10 or more

Year 4 maths

Chapter 3: Column subtraction: subtracting 4-digit numbers with an exchange

• Can subtract numbers with up to 4 digits using column subtraction, exchanging when a column doesn't have enough, even across zeros

Year 4 maths

Chapter 4: Column subtraction with more than one exchange and with zeros

• Can subtract numbers with up to 4 digits using column subtraction, exchanging when a column doesn't have enough, even across zeros

Year 4 maths

Chapter 5: Estimating answers by rounding

• Can estimate the answer to an addition or subtraction by rounding the numbers, and use the estimate to spot answers that can't be right

Year 4 maths

Chapter 6: Checking answers with the inverse: add to check subtraction, subtract to check addition

• Can check an addition by subtracting, and a subtraction by adding, using the inverse

Year 4 maths

Chapter 7: Two-step problems: choosing to add or subtract, and why

• Can solve two-step word problems by deciding whether to add or subtract at each step, and explain why

Year 4 maths

Chapter 1: Multiples: counting in equal jumps

• Can spot the multiples of a number, such as knowing that 36 is a multiple of 4

Year 5 maths

Chapter 2: Factors and factor pairs: making equal rows

• Can tell whether a number is a factor and find factor pairs, such as 3 and 4 for 12

Year 5 maths

Chapter 3: Finding all the factor pairs of a number

• Can find all the factor pairs of a number by working through them in order

Year 5 maths

Chapter 4: Common factors of two numbers

• Can find the common factors of two numbers, such as 1, 2, 3 and 6 for 12 and 18

Year 5 maths

Chapter 5: Solving problems with factors, multiples, squares and cubes

• Can solve sharing and packing problems using factors, multiples, square numbers and cube numbers

Year 5 maths

Chapter 1: Common factors: numbers that divide into both

• Can find the common factors of two numbers, and the highest common factor

Year 6 maths

Chapter 2: Common multiples: where two times tables meet

• Can find common multiples of two numbers, and the lowest common multiple

Year 6 maths

Chapter 3: Prime numbers: numbers with exactly two factors

• Can identify prime numbers up to 100 and explain why a number is or is not prime

Year 6 maths

Chapter 4: Using common multiples and common factors with fractions

• Can use a common multiple to find a common denominator, and a common factor to simplify a fraction

Year 6 maths

Chapter 1: Long multiplication by a two-digit number: the ones row and the tens row

• Can multiply a number with up to 4 digits by a two-digit number using long multiplication

Year 6 maths

Chapter 2: Long multiplication of 4-digit numbers: exchanging and estimating

• Can multiply a number with up to 4 digits by a two-digit number using long multiplication

Year 6 maths

Chapter 3: Long division by a two-digit number: divide, multiply, subtract, bring down

• Can divide a number with up to 4 digits by a two-digit number using long division

Year 6 maths

Chapter 4: Short division by a two-digit number (the bus stop method)

• Can use short division to divide a number with up to 4 digits by a two-digit number

Year 6 maths

Chapter 5: Remainders as whole numbers, fractions or rounding to suit the problem

• Can use short division to divide a number with up to 4 digits by a two-digit number
• Can divide a number with up to 4 digits by a two-digit number using long division
• Can show a remainder as a whole number, as a fraction, or by rounding up or down to suit the problem

Year 6 maths Year 6 maths

Chapter 1: Multi-step addition and subtraction problems: choosing the operation

• Can decide which operation each step of a word problem needs, and explain why
• Can solve addition and subtraction word problems that need two or more steps

Year 6 maths

Chapter 2: Addition and subtraction problems: choosing methods and checking answers

• Can choose between mental and written methods and check answers with estimates and inverse operations
• Can solve addition and subtraction word problems that need two or more steps

Year 6 maths

Chapter 3: Multiplication and division word problems, including remainders

• Can decide which operation each step of a word problem needs, and explain why
• Can solve word problems with multiplication and division, including deciding what to do with a remainder

Year 6 maths

Chapter 4: Multi-step problems with addition, subtraction, multiplication and division

• Can choose between mental and written methods and check answers with estimates and inverse operations
• Can decide which operation each step of a word problem needs, and explain why
• Can plan and solve multi-step word problems that mix adding, subtracting, multiplying and dividing

Year 6 maths Year 6 maths

Chapter 1: Equal groups

• Can find the total of equal groups, like 3 baskets of 5 carrots

Chapter 2: Sharing

• Can share a number of things equally and say how many each gets

Chapter 3: Grouping

• Can put things into equal groups and say how many groups there are

Chapter 4: Arrays

• Can use rows and columns (arrays) to work out a multiplication

Chapter 5: The × and ÷ signs

• Can write multiplication and division with the × and ÷ signs

Chapter 1: Multiplying whole numbers by 10, 100 and 1,000: digits move left

• Can multiply whole numbers by 10, 100 and 1,000 by sliding the digits 1, 2 or 3 places to the left

Year 5 maths

Chapter 2: Dividing whole numbers by 10, 100 and 1,000: digits move right

• Can divide whole numbers by 10, 100 and 1,000 by sliding the digits right, even when the answer is a decimal like 37 ÷ 10 = 3.7

Year 5 maths

Chapter 3: Multiplying decimals by 10, 100 and 1,000

• Can multiply decimals by 10, 100 and 1,000, like 0.47 × 100 = 47, without just adding a zero

Year 5 maths

Chapter 4: Dividing decimals by 10 and 100: placeholder zeros

• Can divide decimals by 10 and 100, using zeros to hold empty places, like 4.2 ÷ 100 = 0.042

Year 5 maths

Chapter 5: Missing numbers and real-life problems: multiplying and dividing by 10, 100 and 1,000

• Can divide whole numbers by 10, 100 and 1,000 by sliding the digits right, even when the answer is a decimal like 37 ÷ 10 = 3.7
• Can find a missing number or a missing step when multiplying and dividing by 10, 100 and 1,000, like ? × 100 = 36
• Can multiply decimals by 10, 100 and 1,000, like 0.47 × 100 = 47, without just adding a zero

Year 5 maths

Chapter 1: Plus, minus and equals: reading number sentences

• Can read and write number sentences using +, − and =, such as 3 + 2 = 5 and 6 − 2 = 4
• Can explain that = means 'is the same as', even when it comes first, as in 10 = 7 + 3

Year 1 maths

Chapter 2: Number bonds within 10: parts and wholes

• Can find pairs of numbers that make each number up to 10, such as 7 and 3 make 10

Year 1 maths

Chapter 3: Subtraction facts from number bonds

• Can use a number bond to find subtraction facts, such as 7 + 3 = 10, so 10 − 3 = 7

Year 1 maths Year 1 maths

Chapter 4: Number bonds within 20

• Can find number bonds for numbers up to 20, such as 13 + 7 = 20 and 9 + 7 = 16
• Can use a number bond to find subtraction facts, such as 7 + 3 = 10, so 10 − 3 = 7

Year 1 maths

Chapter 5: Writing number sentences with +, − and =

• Can find number bonds for numbers up to 20, such as 13 + 7 = 20 and 9 + 7 = 16
• Can read and write number sentences using +, − and =, such as 3 + 2 = 5 and 6 − 2 = 4
• Can explain that = means 'is the same as', even when it comes first, as in 10 = 7 + 3

Year 1 maths Year 1 maths

Chapter 1: Number bonds to 5: two parts make a whole

• Can say straight away which two parts make each number up to 5, such as 3 and 2 make 5

Reception maths Reception maths

Chapter 2: Take-away facts to 5: 5 take away 2 is 3

• Can say straight away how many are left when some are taken away from 5 or less, such as 5 take away 2 is 3

Reception maths Reception maths

Chapter 3: Double facts: double 1 to double 5

• Can say double facts from double 1 to double 5 straight away, such as double 3 is 6

Reception maths Reception maths

Chapter 4: Some number bonds to 10 on a ten frame

• Can say some pairs that make 10 straight away, such as 7 and 3 make 10

Reception maths Reception maths

Chapter 5: Using a number fact you know to solve a problem

• Can use a number fact they know to solve a little problem, such as how many cakes are left

Reception maths