Chapter library

Chapter 1: Per cent means parts per hundred: the % sign

• Can explain that per cent means out of every 100, read the % sign, and shade or read a percentage on a hundred square

Year 5 maths

Chapter 2: Writing percentages as fractions out of 100

• Can write a percentage as a fraction out of 100, such as 37% = 37/100, and change it back

Year 5 maths

Chapter 3: Writing percentages as decimals: tenths and hundredths

• Can write a percentage as a decimal using tenths and hundredths, such as 37% = 0.37 and 7% = 0.07, and change a decimal back into a percentage

Year 5 maths

Chapter 4: Percentages and decimals for 1/2, 1/4, 1/5, 2/5 and 4/5

• Can give the percentage and decimal for 1/2, 1/4, 1/5, 2/5 and 4/5, such as 1/4 = 25% = 0.25

Year 5 maths

Chapter 5: Fractions out of 10, 20, 25 and 50 as percentages and decimals

• Can change fractions out of 10, 20, 25 and 50 into percentages and decimals by making the bottom number 100, such as 7/20 = 35% = 0.35

Year 5 maths

Chapter 6: Solving problems with percentage, fraction and decimal equivalents

• Can compare and order percentages, fractions and decimals, and solve problems such as finding the part that is left of 100%

Year 5 maths Year 5 maths

Chapter 1: Fair Shares

• Can split a whole into equal parts and name one part, such as one half or one quarter

Chapter 2: More Pieces

• Can read, write and show non-unit fractions, such as three quarters, where there is more than one equal part

Chapter 3: Tenths Kitchen

• Can count up and down in tenths, and find one tenth of a number by sharing it into 10

Chapter 4: Big Slice Contest

• Can compare fractions and put unit fractions in order, such as knowing one half is bigger than one eighth

Chapter 5: Fraction Mixer

• Can add fractions with the same denominator within one whole, such as 2/5 + 1/5 = 3/5

Chapter 1: Tenths and hundredths: splitting a whole into 10 and 100

• Can explain that tenths come from dividing a whole by 10 and hundredths from dividing a tenth by 10, and write any number of tenths or hundredths as a decimal

Year 4 maths Year 4 maths

Chapter 2: Counting up and down in hundredths

• Can count up and down in hundredths, including across tenths and whole numbers, such as 0.09, 0.10 and 0.99, 1.00

Year 4 maths Year 4 maths

Chapter 3: Decimal equivalents of 1/4, 1/2 and 3/4

• Can write 1/4, 1/2 and 3/4 as the decimals 0.25, 0.5 and 0.75, and use them in money and measures

Year 4 maths Year 4 maths

Chapter 4: Dividing by 10 and 100: ones, tenths and hundredths

• Can divide a one- or two-digit number by 10 and 100 and say whether each digit in the answer is ones, tenths or hundredths

Year 4 maths

Chapter 5: Rounding decimals to the nearest whole number

• Can round a decimal with one decimal place, like 3.7 or 6.5, to the nearest whole number

Year 4 maths

Chapter 6: Comparing decimals with up to two decimal places

• Can compare decimals with the same number of decimal places, up to two, and use the greater than and less than signs

Year 4 maths

Chapter 7: Money and measure problems with decimals and fractions

• Can write pounds and pence and metres and centimetres as decimals, and solve simple problems such as finding change from £1
• Can write 1/4, 1/2 and 3/4 as the decimals 0.25, 0.5 and 0.75, and use them in money and measures

Year 4 maths Year 4 maths

Chapter 1: Ratio language: 'for every' and the ratio symbol a : b

• Can describe two amounts with 'for every' and write the ratio with the ratio symbol, in the right order

Year 6 maths

Chapter 2: Missing values in ratios: scaling recipes with multiplication and division

• Can find missing amounts in a ratio, such as a recipe scaled up or down, by multiplying or dividing both amounts by the same number

Year 6 maths

Chapter 3: Scale factors: enlarging shapes by multiplying every side

• Can enlarge a shape by multiplying every side by the scale factor

Year 6 maths

Chapter 4: Similar shapes: finding scale factors and missing lengths

• Can find the scale factor between similar shapes and use it to work out missing lengths

Year 6 maths

Chapter 5: Ratio and fractions: unequal grouping with fractions and multiples

• Can use equal groups to switch between ratios and fractions, such as 2 : 3 meaning two fifths and three fifths

Year 6 maths Year 6 maths

Chapter 6: Unequal sharing: sharing amounts in a ratio with a bar model

• Can share an amount in a ratio using a bar model, and find the whole amount when one share is known

Year 6 maths

Chapter 1: Pence coins: 1p, 2p, 5p and 10p

• Can recognise and name all eight UK coins, from 1p to £2
• Can say what each coin is worth, and knows that pound coins are worth more than pence coins

Year 1 maths

Chapter 2: Seven-sided coins: 20p and 50p

• Can recognise and name all eight UK coins, from 1p to £2
• Can say what each coin is worth, and knows that pound coins are worth more than pence coins

Year 1 maths

Chapter 3: Pound coins: £1 and £2

• Can recognise and name all eight UK coins, from 1p to £2
• Can say what each coin is worth, and knows that pound coins are worth more than pence coins

Year 1 maths

Chapter 4: Notes: £5, £10, £20 and £50

• Can recognise the £5, £10, £20 and £50 notes and say what each one is worth

Year 1 maths

Chapter 5: Which is worth more? Coin and note values

• Can tell which of two coins or notes is worth more by its value, not its size

Year 1 maths

Chapter 1: Hungry Croc

• Can say which of two numbers is bigger or smaller, and find the greatest or smallest
• Can use the <, > and = signs to compare two numbers

Chapter 2: Tens & Ones

• Can compare numbers by looking at the tens first, then the ones
• Can use the <, > and = signs to compare two numbers

Chapter 3: Frog Hop

• Can find numbers on a number line and say which numbers come between two others

Chapter 4: Duck Parade

• Can put a set of numbers in order from smallest to largest

Chapter 1: Counting objects: one number for each thing

• Can count objects up to 10, saying one number for each thing

Reception maths Reception maths

Chapter 2: How many? The last number you say

• Can tell how many there are from the last number they say when counting

Reception maths Reception maths

Chapter 3: Pebbles and tens frames: counting to 10

• Can count out up to 10 pebbles into a tens frame

Reception maths Reception maths

Chapter 4: Counting actions: claps and jumps

• Can count actions, like jumps and claps, as they happen

Reception maths

Chapter 5: Counting sounds: listen and count

• Can count sounds, like drum beats and bells, by listening

Reception maths

Chapter 1: Counting to 10: the last number says how many

• Can count up to 10 things and knows the last number said tells you how many

Reception maths

Chapter 2: Tens frames: organising counting to 10

• Can show numbers to 10 on a tens frame and read how many are there

Reception maths Reception maths

Chapter 3: Matching numerals 0 to 10 to amounts

• Can match numerals 0 to 10 with the right amount

Reception maths Reception maths

Chapter 4: Same amount, different arrangements

• Can see that the same amount can be arranged in different ways

Reception maths Reception maths

Chapter 1: Count on

• Can count on to 100 from any number and say what comes next

Chapter 2: Count back

• Can count back from any number up to 100

Chapter 3: Count in 2s

• Can count in 2s, 5s and 10s

Chapter 4: Count in 5s

• Can count in 2s, 5s and 10s

Chapter 5: Count in 10s

• Can count in 2s, 5s and 10s

Chapter 6: 100 square

• Can find any number on a 100 square

Chapter 1: Counting past 10: eleven to twenty

• Can count on past 10, saying the numbers eleven to twenty in order

Reception maths

Chapter 2: Counting past 20: the pattern twenty-one, twenty-two…

• Can count on past 20 to about 30, hearing the repeating pattern twenty-one, twenty-two, twenty-three

Reception maths

Chapter 3: Counting on from any number within 20

• Can start counting from any number up to 20 and keep going, without going back to one

Reception maths Reception maths

Chapter 1: Doubles: the same again (3 and 3 make 6)

• Can make and spot doubles up to 10, like 3 and 3 make 6

Reception maths Reception maths

Chapter 2: Odd and even numbers: making pairs

• Can sort numbers up to 10 into odd and even by making pairs

Reception maths Reception maths

Chapter 3: Sharing equally: fair shares and some left over

• Can share up to 10 things equally and notice when some are left over

Reception maths Reception maths

Chapter 1: Ice Line

• Can count back through zero into negative numbers, like 2, 1, 0, −1, −2
• Can find and read negative numbers on a number line

Chapter 2: Big Freeze

• Can read temperatures below zero and work out rises and falls

Chapter 3: Hotel Lift

• Can use negative numbers in real life, like floors below the ground floor