Chapter library

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

Chapter 1: Why order matters: multiply and divide first

• Can multiply and divide before adding and subtracting, so 2 + 1 × 3 = 5

Year 6 maths

Chapter 2: Multiply and divide first: step-by-step calculations

• Can multiply and divide before adding and subtracting, so 2 + 1 × 3 = 5

Year 6 maths

Chapter 3: Equal priority: working left to right

• Can work from left to right when operations have equal priority, such as 12 ÷ 3 × 2 = 8

Year 6 maths

Chapter 4: Brackets first: (2 + 1) × 3 = 9

• Can work out the part in brackets first, so (2 + 1) × 3 = 9

Year 6 maths

Chapter 5: All four operations with brackets

• Can add brackets to a calculation to make it give a target answer
• Can work out calculations with all four operations and brackets in the right order

Year 6 maths

Chapter 1: Split it up: the distributive law for 2-digit × 1-digit

• Can multiply a two-digit number by a one-digit number by splitting it into tens and ones (the distributive law)

Year 4 maths

Chapter 2: Formal written method: 2-digit × 1-digit (short multiplication)

• Can multiply a two-digit number by a one-digit number using the formal written method (short multiplication)

Year 4 maths

Chapter 3: Formal written method: 3-digit × 1-digit (short multiplication)

• Can multiply a three-digit number by a one-digit number using the formal written method (short multiplication)

Year 4 maths

Chapter 4: Scaling problems: 'times as many', then multiply and add

• Can solve scaling problems such as 'times as many' and 'times as long', and problems where you multiply and then add

Year 4 maths

Chapter 5: Correspondence problems: n objects connected to m objects

• Can solve correspondence problems, where each of n objects connects to m objects, such as counting outfits or meal choices

Year 4 maths

Chapter 1: Writing multiplication and division statements

• Can write and work out multiplication and division statements using the times tables they know, like 3 × 4 = 12 and 12 ÷ 3 = 4

Year 3 maths

Chapter 2: Using times-table facts: doubling and multiplying tens

• Can use times-table facts they know to work out new ones, by doubling (2s, 4s, 8s) and by multiplying tens, like 3 × 40 = 120

Year 3 maths

Chapter 3: Multiplying two-digit by one-digit numbers mentally (partitioning)

• Can multiply a 2-digit number by a 1-digit number in their head by splitting it into tens and ones

Year 3 maths

Chapter 4: Written method: multiplying two-digit by one-digit numbers in columns

• Can use a written column method to multiply a 2-digit number by a 1-digit number, exchanging 10 ones for a ten when needed

Year 3 maths

Chapter 5: Dividing two-digit numbers by one-digit numbers

• Can divide a 2-digit number by a 1-digit number by sharing the tens and then the ones, and check the answer by multiplying

Year 3 maths

Chapter 6: Missing number problems with multiplication and division

• Can find the missing number in multiplication and division facts, like □ × 4 = 20, by using the inverse

Year 3 maths

Chapter 7: Scaling problems: times as many, times as tall

• Can solve scaling problems, like 3 times as tall or 4 times as many, by multiplying, and work out how many times bigger by dividing

Year 3 maths

Chapter 8: Correspondence problems: 3 hats and 4 coats make 12 outfits

• Can solve correspondence problems, such as 3 hats and 4 coats make 12 outfits, and sharing problems, by multiplying or dividing

Year 3 maths

Chapter 1: Short multiplication: 4-digit numbers × 1-digit numbers

• Can multiply a 4-digit number by a 1-digit number using short multiplication

Year 5 maths

Chapter 2: Long multiplication: multiplying by a 2-digit number

• Can multiply numbers up to 4 digits by a 2-digit number using long multiplication

Year 5 maths

Chapter 3: Short division: dividing 4-digit numbers by 1 digit, with remainders

• Can divide a 4-digit number by a 1-digit number using short division, with remainders

Year 5 maths

Chapter 4: Remainders that make sense: round up, round down or left over

• Can decide whether to round up, round down or use the remainder in a division problem

Year 5 maths

Chapter 5: Mixed problems and the meaning of the equals sign

• Can solve two-step problems that combine addition, subtraction, multiplication and division
• Can explain that the equals sign means both sides have the same value, and find missing numbers

Year 5 maths

Chapter 6: Scaling by simple fractions and simple rates

• Can scale amounts by whole numbers and simple fractions, and solve problems with simple rates

Year 5 maths

Chapter 1: Classifying living things into broad groups: plants, animals and micro-organisms

• Can sort living things into plants, animals and micro-organisms using features they can observe, and explain the similarities and differences

Year 6 science

Chapter 2: Micro-organisms: tiny living things you need a microscope to see

• Can explain that micro-organisms are tiny living things you need a microscope to see, that they feed, grow and reproduce, and that they live almost everywhere

Year 6 science

Chapter 3: Bacteria and microscopic fungi: comparing yeasts and moulds

• Can describe bacteria and microscopic fungi such as yeasts and moulds, and say how they are similar and different

Year 6 science

Chapter 4: Classification keys: identifying micro-organisms by observable features

• Can use and finish a yes or no classification key to identify micro-organisms by features you can observe

Year 6 science

Chapter 5: Helpful micro-organisms: bread, yoghurt, compost and medicine

• Can give examples of helpful micro-organisms, such as yeast making bread rise, bacteria making yoghurt, decomposers making compost and a mould giving us penicillin

Year 6 science

Chapter 6: Harmful micro-organisms: mouldy food, tooth decay and illness

• Can give examples of harmful micro-organisms, such as mould spoiling food, bacteria causing tooth decay and food poisoning, and say how we stop them spreading
• Can give examples of helpful micro-organisms, such as yeast making bread rise, bacteria making yoghurt, decomposers making compost and a mould giving us penicillin

Year 6 science