Teaching for mastery in primary maths
White Rose Maths Hub scheme of work
All topics from Year 1 to Year 6
Year 1
 1 Numbers up to 10
 2 Addition and subtraction within 10
 3 Recognising 2D and 3D shapes
 4 Numbers up to 20
 5 Addition and subtraction within 20
 6 Numbers up to 40 or 50
 7 Introduction to length
 8 Introduction to weight (or mass)
 9 Introduction to capacity and volume
 10 Introduction to multiplication and division
 11 Introduction to halves and quarters
 12 Turns
 13 Numbers up to 100
 14 Introduction to coins and notes
 15 Introduction to time
Year 2
 16 Twodigit numbers
 17 Addition and subtraction within 40 or 50
 18 Addition and subtraction within 100
 19 Twodigit addition and subtraction
 20 Understanding pounds and pence
 21 Multiplication and division
 22 2s, 5s and 10s
 23 Multiplication and division
 24 2s, 5s and 10s
 25 Introduction to graphs
 26 Shape and patterns
 27 Introduction to fractions
 28 Units of length
 29 Rotation
 30 Telling the time
 31 Exploring weight (or mass)
 32 Capacity, volume and temperature
Year 3
 33 Threedigit numbers
 34 Threedigit addition and subtraction
 35 3s, 4s, 8s, 50s and 100s
 36 Exploring multiplication and division
 37 Adding and subtracting money
 38 Using graphs
 39 Length and perimeter
 40 Introduction to comparing, ordering and equivalent fractions
 41 Introduction to finding fractions of an amount
 42 Introduction to comparing, ordering and equivalent fractions
 43 Introduction to finding fractions of an amount
 44 Introduction to adding and subtracting fractions
 45 Roman numerals on the clock
 46 Analogue and digital time
 47 Angles
 48 Making shapes
 49 Length, weight, capacity and volume
Year 4
 50 Fourdigit numbers
 51 Numbers below 0
 52 Roman numerals to 100 (C)
 53 Fourdigit addition and subtraction
 54 Perimeter of simple shapes
 55 Converting between different units of measure
 56 Short multiplication
 57 6s, 7s, 9s, 25s and 1,000s
 58 Factor pairs
 59 Short multiplication
 60 Area by counting shapes
 61 Common equivalent fractions
 62 Fractions of an amount
 63 Add and subtract fractions with the same denominator
 64 Introduction to decimals
 65 Introduction to decimals
 66 Solving problems involving money
 67 Converting between units of time
 68 Bar charts, pictograms, time graphs and tables
 69 Comparing angles
 70 Classify quadrilaterals and triangles
 71 Symmetry
 72 Coordinates and translations
Year 5
 73 At least a million
 74 Introduction to negative numbers
 75 Roman numerals to 1,000 (M)
 76 Addition and subtraction of numbers with more than 4 digits
 77 Line graphs and tables
 78 10s, 100s, 1,000s…
 79 Multiplication of twodigit numbers and short division
 80 Factors, multiples and prime numbers
 81 Perimeter and area
 82 Multiplication of twodigit numbers and short division
 83 Combining addition, subtraction, multiplication and division
 84 Compare, order and simplify fractions
 85 Compare, order and find equivalent fractions
 86 Introduction to adding and subtracting fractions with different denominators
 87 Multiply proper fractions and mixed numbers by whole numbers
 88 Rates and scaling by fractions
 89 Four operations with decimals
 90 Introduction to percentages
 91 Four operations with decimals
 92 Drawing, measuring, comparing and finding angles
 93 Exploring 2D representations of 3D shapes
 94 Reflection and translation
 95 Converting metric and simple imperial units
 96 Further converting between units of time
 97 Exploring capacity and volume
Year 6
 98 Positive integers
 99 Negative numbers
 100 Addition and subtraction of numbers of any size
 101 Long multiplication and short division
 102 Calculations with four operations
 103 Common factors and multiples
 104 Adding and subtracting fractions with different denominators
 105 Multiply and divide fractions
 106 Coordinates, translation and reflection
 107 Calculating with decimals
 108 Calculating with percentages
 109 Understanding algebra
 110 Solving problems involving converting between units of time
 111 Area and volume
 112 Solving problems involving ratio and proportion
 113 Building and drawing 2D and 3D shapes and nets
 114 Classifying shapes
 115 Missing angles and lengths
 116 Circles
 117 Pie charts, line graphs and the mean average

1
Numbers up to 10
 Autumn
 Week 1  4

2
Addition and subtraction within 10
 Autumn
 Week 5  8

3
Recognising 2D and 3D shapes
 Autumn
 Week 9

4
Numbers up to 20
 Autumn
 Week 10  11

5
Addition and subtraction within 20
 Spring
 Week 1  4

6
Numbers up to 40 or 50
 Spring
 Week 5  7

7
Introduction to length
 Spring
 Week 8  9

8
Introduction to weight (or mass)
 Spring
 Week 10

9
Introduction to capacity and volume
 Spring
 Week 11

10
Introduction to multiplication and division
 Summer
 Week 1  3

11
Introduction to halves and quarters
 Summer
 Week 4  5

12
Turns
 Summer
 Week 6

13
Numbers up to 100
 Summer
 Week 7  8

14
Introduction to coins and notes
 Summer
 Week 9

15
Introduction to time
 Summer
 Week 10  11

16
Twodigit numbers
 Autumn
 Week 1  3

17
Addition and subtraction within 40 or 50
 Autumn
 Week 4

18
Addition and subtraction within 100
 Autumn
 Week 5  6

19
Twodigit addition and subtraction
 Autumn
 Week 7  8

20
Understanding pounds and pence
 Autumn
 Week 9  10

21
Multiplication and division
 Autumn
 Week 11

22
2s, 5s and 10s
 Autumn
 Week 12

23
Multiplication and division
 Spring
 Week 1

24
2s, 5s and 10s
 Spring
 Week 2

25
Introduction to graphs
 Spring
 Week 3  4

26
Shape and patterns
 Spring
 Week 5  7

27
Introduction to fractions
 Spring
 Week 8  10

28
Units of length
 Spring
 Week 11

29
Rotation
 Summer
 Week 1  3

30
Telling the time
 Summer
 Week 6  7

31
Exploring weight (or mass)
 Summer
 Week 8

32
Capacity, volume and temperature
 Summer
 Week 9  10

33
Threedigit numbers
 Autumn
 Week 1  3

34
Threedigit addition and subtraction
 Autumn
 Week 4  8

35
3s, 4s, 8s, 50s and 100s
 Autumn
 Week 9  12

36
Exploring multiplication and division
 Spring
 Week 1  3

37
Adding and subtracting money
 Spring
 Week 4

38
Using graphs
 Spring
 Week 5  6

39
Length and perimeter
 Spring
 Week 7  9

40
Introduction to comparing, ordering and equivalent fractions
 Spring
 Week 10

41
Introduction to finding fractions of an amount
 Spring
 Week 11

42
Introduction to comparing, ordering and equivalent fractions
 Summer
 Week 1a

43
Introduction to finding fractions of an amount
 Summer
 Week 1b

44
Introduction to adding and subtracting fractions
 Summer
 Week 2  3

45
Roman numerals on the clock
 Summer
 Week 4a

46
Analogue and digital time
 Summer
 Week 4b  6

47
Angles
 Summer
 Week 7

48
Making shapes
 Summer
 Week 8

49
Length, weight, capacity and volume
 Summer
 Week 9  11

50
Fourdigit numbers
 Autumn
 Week 1  2

51
Numbers below 0
 Autumn
 Week 3

52
Roman numerals to 100 (C)
 Autumn
 Week 4

53
Fourdigit addition and subtraction
 Autumn
 Week 5  7

54
Perimeter of simple shapes
 Autumn
 Week 8a

55
Converting between different units of measure
 Autumn
 Week 8b

56
Short multiplication
 Autumn
 Week 9  10

57
6s, 7s, 9s, 25s and 1,000s
 Autumn
 Week 11

58
Factor pairs
 Spring
 Week 1

59
Short multiplication
 Spring
 Week 2  3

60
Area by counting shapes
 Spring
 Week 4

61
Common equivalent fractions
 Spring
 Week 5

62
Fractions of an amount
 Spring
 Week 6

63
Add and subtract fractions with the same denominator
 Spring
 Week 7  8

64
Introduction to decimals
 Spring
 Week 9  11

65
Introduction to decimals
 Summer
 Week 1  2

66
Solving problems involving money
 Summer
 Week 3  4

67
Converting between units of time
 Summer
 Week 5

68
Bar charts, pictograms, time graphs and tables
 Summer
 Week 6  7

69
Comparing angles
 Summer
 Week 8

70
Classify quadrilaterals and triangles
 Summer
 Week 9

71
Symmetry
 Summer
 Week 10

72
Coordinates and translations
 Summer
 Week 11

73
At least a million
 Autumn
 Week 1  2a

74
Introduction to negative numbers
 Autumn
 Week 2b  3a

75
Roman numerals to 1,000 (M)
 Autumn
 Week 3b

76
Addition and subtraction of numbers with more than 4 digits
 Autumn
 Week 4  5

77
Line graphs and tables
 Autumn
 Week 6  7

78
10s, 100s, 1,000s…
 Autumn
 Week 8a

79
Multiplication of twodigit numbers and short division
 Autumn
 Week 8b  9a

80
Factors, multiples and prime numbers
 Autumn
 Week 9b

81
Perimeter and area
 Autumn
 Week 10  11

82
Multiplication of twodigit numbers and short division
 Spring
 Week 1  2

83
Combining addition, subtraction, multiplication and division
 Spring
 Week 3

84
Compare, order and simplify fractions
 Spring
 Week 4

85
Compare, order and find equivalent fractions
 Spring
 Week 5

86
Introduction to adding and subtracting fractions with different denominators
 Spring
 Week 6

87
Multiply proper fractions and mixed numbers by whole numbers
 Spring
 Week 7  8

88
Rates and scaling by fractions
 Spring
 Week 9

89
Four operations with decimals
 Spring
 Week 10

90
Introduction to percentages
 Spring
 Week 11

91
Four operations with decimals
 Summer
 Week 1  4

92
Drawing, measuring, comparing and finding angles
 Summer
 Week 5  6a

93
Exploring 2D representations of 3D shapes
 Summer
 Week 6b  7

94
Reflection and translation
 Summer
 Week 8

95
Converting metric and simple imperial units
 Summer
 Week 9

96
Further converting between units of time
 Summer
 Week 10

97
Exploring capacity and volume
 Summer
 Week 11

98
Positive integers
 Autumn
 Week 1

99
Negative numbers
 Autumn
 Week 2

100
Addition and subtraction of numbers of any size
 Autumn
 Week 3

101
Long multiplication and short division
 Autumn
 Week 4

102
Calculations with four operations
 Autumn
 Week 5  6

103
Common factors and multiples
 Autumn
 Week 7

104
Adding and subtracting fractions with different denominators
 Autumn
 Week 8

105
Multiply and divide fractions
 Autumn
 Week 9  10

106
Coordinates, translation and reflection
 Autumn
 Week 11

107
Calculating with decimals
 Spring
 Week 1  2

108
Calculating with percentages
 Spring
 Week 3  4

109
Understanding algebra
 Spring
 Week 5  6

110
Solving problems involving converting between units of time
 Spring
 Week 7

111
Area and volume
 Spring
 Week 8  9

112
Solving problems involving ratio and proportion
 Spring
 Week 10  11

113
Building and drawing 2D and 3D shapes and nets
 Summer
 Week 1a

114
Classifying shapes
 Summer
 Week 1b

115
Missing angles and lengths
 Summer
 Week 2

116
Circles
 Summer
 Week 6

117
Pie charts, line graphs and the mean average
 Summer
 Week 7
There are none
Factors, multiples and prime numbers
 Year group: Year 5
 Term: Autumn
 Topic: Factors, multiples and primes
 Duration: 0.5 weeks
 Keystage: KS2
 Age Range: 9 to 10 yrs
 Unit can be taught out of sequence: N
 Week Range: 9b
In this chapter, pupils learn about factors, multiples and prime numbers, as well as square and cube numbers.
In preparation for work with primes, pupils find all factor pairs of a number and identify the common factors of two numbers.
Following an introduction, pupils know that a number is considered a prime if it has no factor except 1 and itself. Using their knowledge of factors, they establish whether this is the case for any number up to 100. They also recall prime numbers up to 19 through frequent practice and application.
Later, pupils recognise and use square and cube numbers. They should experience concrete and pictorial representations of both number types in order to understand why they are described this way. Pupils are introduced to the notation for squared ² and cubed ³ and solve problems involving square and cube numbers.
Download all factors, multiples and primes chapters as a PDF
Resources for this topic
White Rose Maths
Number problems

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Reasoning  Problem Solving  Money Problems (KS1/2)  March 8th
In KS1 problem children have to use a number line to work out the size of the interval and then locate a particular number. Children then have to work out the highest and lowest numbers you can make given three digit cards. Version 2 of the Y2 problems has a slightly less demanding problem Q1 that might be good as a warm up.
At KS2 children also need to find intervals on a number line, but the problem is a little more involved.. The second problem should be tacked systematically.
Every day in March the White Rose Maths Hub is aiming to put out a question of the day.
Tweet us @WRMathsHub a picture of your children's answers for a chance to win a prize.

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Mathematics Mastery
Factors, multiples and Prime numbers
Enabling teachers to continuously develop their practice is a key element of the Mathematics Mastery Programme.
This CPD video provides stepbystep guidance on factors, multiples and prime numbers.
Our videos aim to:
• Model teaching tips, techniques and clarify how to make connections between concrete, pictorial and abstract representations
• Support the teaching of different methods and concepts, rather than focusing on one method only
• Enhance subject knowledge and support nonspecialists
Like what you see?
Mathematics Mastery is a professional development programme for teachers with a mission to transform mathematics education in the UK.
This task is just a taster of the complete classroom resources we offer. We also provide indepth development training, online CPD, specialist support and assessment tools.
We believe all elements of our programme are vital in creating lasting change – enabling every child to enjoy and succeed in mathematics.
Want to find out more? Check out our free resources and blogs or join an information session.
 Free
Factors, multiples and Prime numbers
Our Key Constructs highlight the essential mathematical concepts all pupils are expected to grasp within each year group, with accompanying guidance for assessing pupil progress.
Our Key Constructs are closely aligned to the National Curriculum’s objectives. We know these can be tricky to evidence, so we’ve included an example task for each concept, as well as ideas to support slowergraspers and depth tasks to challenge higherattaining pupils.
• Pupils should work through the tasks independently
• Teachers should incorporate the CPA approach to support pupils’ learning
• Opportunities for depth and scaffolding are built into each task
Like what you see?
Mathematics Mastery is a professional development programme for teachers with a mission to transform mathematics education in the UK.
This task is just a taster of the complete classroom resources we offer. We also provide indepth development training, online CPD, specialist support and assessment tools.
We believe all elements of our programme are vital in creating lasting change – enabling every child to enjoy and succeed in mathematics.
Want to find out more? Check out our free resources and blogs or join an information session.
 Free
Yearly overviews
Resources shared by teachers
Prime Factors using a factor tree

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Multiples (LCM) and Factors (HCF)
Thank you to other TES members who also share.

(17)
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Factors, Multiples and Primes: Follow me Cards

(17)
 Free
worksheet and revision aid for number work
Involves different types of numbers including factors, multiples, primes, squares and sequences
Other topics covered: Numbers

(10)
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