1. Year 4 Maths Framework

2. Long Term Overview Block 1 Number and Place Value Numbers to 10,000
Week 1
Week 2
Week 3
Week 4
Week 5
Week 6
Week 7
Week 8
Week 9
Week 10
Week 11
Week 12
Autumn Term
Block 1
Number and Place Value
Numbers to 10,000
Block 2
Calculation
Addition and Subtraction within 10,000
Block 3
Multiplication and Division
Further Multiplication and Division
Spring Term
Statistics
Graphs
Fractions, Decimals, Percentages
Fractions
Measurement
Time
Decimals
Summer Term
Measurements
Money
Mass, Volume, Length
Area of figures
Geometry
Properties of shape
Position and Direction
Roman Numerals
Number
*The long-term overview is based on the Maths No Problem Scheme of Work

3. Adding single digit numbers within 20
Key Facts
Termly overview
These weekly objectives will be the focus of the fluency sessions which children participate in daily. They aim to increase the children’s recall of basic facts and skills in order to free up working memory for new learning. These facts will also form the basis for homework each week for the children to have repeated practice in different environments. Each of these areas can be practiced through games, songs, chanting, and competitions etc. as well as online (e.g. times table rockstars).
Week 1
Week 2
Week 3
Week 4
Week 5
Week 6
Week 7
Week 8
Week 9
Week 10
Week 11
Week 12
Autumn Term
Counting in 25s, 50s and 100s
Adding single digit numbers within 20
Adding multiples of 10
2, 5 and 10 times table
4 times table
8 times table
Review
Spring Term
3 times table
6 times table
Skip counting in 7s
7 times table
Skip counting in 9s
9 times table
Summer Term
Counting in tenths
Finding half
Finding quarters
Finding tenths
Fraction equivalence

4. Autumn Term Overviews

5. Autumn Term Block 1 – Number and Place Value Numbers to 10,000
Curriculum Objective Coverage
Small Step
Lesson Breakdown
Additional Planning Guidance
count in multiples of 6, 7, 9, 25 and 1,000
find 1,000 more or less than a given number
count backwards through 0 to include negative numbers
recognise the place value of each digit in a four-digit number (1,000s, 100s, 10s, and 1s)
order and compare numbers beyond 1,000
identify, represent and estimate numbers using different representations
round any number to the nearest 10, 100 or 1,000
solve number and practical problems that involve all of the above and with increasingly large positive numbers
To count in hundreds and twenty-fives
White Rose Documents:
Year 4 – Block 1 – Place Value
Use It!
What comes next? = 7706; = 8706; = 9706….
Make up an example: Create four digit numbers where the digit sum is four and the tens digit is one. What is the largest/smallest number?
Possible answers: A number rounded to the nearest ten is 540. What is the smallest possible number it could be?
Explain It!
Do, then explain: If you wrote these numbers in order starting with the largest, which number would be third? Explain how you ordered the numbers.
Do, then explain: Show the value of the digit 4 in these numbers? 3041, 4321, 547. Explain how you know.
Evaluate It!
Spot the mistake: 950, 975,1000,1250
What do you notice? Round 296 to the nearest 10. Round it to the nearest 100. What do you notice? Can you suggest other numbers like this?
Prove It!
True or false is a multiple of 9?
N-Rich Activities
Which is quicker?
4-digit targets
What do you need?
Nice or Nasty
To count in thousands
To count in thousands, hundreds, tens and ones
To use an understanding of place value to count
To understand place value in a 4-digit number
To compare and order numbers
To compare and order 4-digit numbers
To make number patterns
To make 4-digit number patterns
To count in sixes, sevens and nines
To round numbers to the nearest 1,000
To round number to the nearest 10, 100 and 1,000
To round numbers to estimate
Consolidation and review lesson

6. Autumn Term Block 2 - Calculation Addition and Subtraction
Curriculum Objective Coverage
Small Step
Lesson Breakdown
Additional Planning Guidance
add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate
estimate and use inverse operations to check answers to a calculation
solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why
To find totals and sums.
Use It!
Continue the pattern: 90 = 100 – 10; 80 = 100 – 20; Can you make up a similar pattern starting with the numbers 74, 26 and 100?
Missing numbers: 91 +__ = 100; 100 -__ = 89 What number goes in the missing box?
Fact families: Which four number sentences link these numbers? 100, 67, 33
Missing symbols: Write the missing symbols (+ - =) in these number sentences: 80__20__100;100__70__30; 87__13__100
Explain It!
What else do you know? If you know this: 87 = 100 – 13 What other facts do you know? How did you solve this?
Evaluate It!
True or false? Are these number sentences true or false? = – 0.9 = 7.2 Give your reasons.
Hard and easy questions: Which questions are easy / hard? =; =; =; = Explain why you think the hard questions are hard?
Making an estimate: Which of these number sentences have the answer that is between 550 and 600: ; 3330 – 2779; 9326 – 8777
Prove It!
Convince me: ____ = 8__5 What is the largest possible number that will go in the rectangular box? What is the smallest? Convince me
Always, sometimes, never: Is it always sometimes or never true that the difference between two odd numbers is odd.
To add without renaming.
To add with renaming (in the ones column).
To add with renaming (in tens and ones).
To add with renaming (in hundreds, tens and ones).
To add using mental strategies (making tens, hundreds and thousands).
To add using mental strategies.
To find the difference.
To subtract without renaming (column subtraction).
To subtract with renaming (in tens and ones).
To subtract with renaming (in hundreds, tens and ones).
To subtract with renaming.
To subtract using mental strategies.
To solve addition and subtraction word problems.
To solve word problems (addition and subtraction).
To solve multi-step word problems.
X3 Consolidation and Review

7. Autumn Term Block 3 - Calculation Multiplication and Division
Curriculum Objective Coverage
Small Step
Lesson Breakdown
Additional Planning Guidance
recall multiplication and division facts for multiplication tables up to 12 × 12
use place value, known and derived facts to multiply and divide mentally, including: multiplying by 0 and 1; dividing by 1; multiplying together 3 numbers
recognise and use factor pairs and commutativity in mental calculations
multiply two-digit and three-digit numbers by a one-digit number using formal written layout
solve problems involving multiplying and adding, including using the distributive law to multiply two-digit numbers by 1 digit, integer scaling problems and harder correspondence problems such as n objects are connected to m objects
To multiply by 6
Use It
Missing numbers: 72 = __ x __ Which pairs of numbers could be written in the boxes?
Making links: Eggs are bought in boxes of 12. I need 140 eggs; how many boxes will I need to buy?
Use a fact: 63 ÷ 9 = 7 Use this fact to work out 126 ÷ 9 = __; 252 ÷ 7 =__.
Explain It
Making links: How can you use factor pairs to solve this calculation? 13 x 12 (13 x 3 x 4, 13 x 3 x 2 x 2, 13 x 2 x 6)
Will the answer to the following calculations be greater or less than 300 ;152 x 2=; 78 x 3 =; 87 x 3 =; 4 x 74 =. Explain how you know.
Evaluate It
Always, sometimes, never? An even number that is divisible by 3 is also divisible by 6.
Always, sometimes never? The sum of four even numbers is divisible by 4.
Use the inverse to check if the following calculations are correct: 23 x 4 = 92; 117 ÷ 9 = 14
Prove It
What goes in the missing box? 6 __ x 4 = 512
When multiplying by 7, using the digits 3, 4 and 6 in the calculation how close can you get to 4500? What is the largest product? What is the smallest product?
To multiply by 7
To multiply by 9
To multiply by 9 (relational understanding)
To multiply by 11
To multiply by 12
To divide by 6
To divide by 7
To divide by 9
To multiply and divide by 11 and 12
To divide with remainders
To solve word problems involving multiplication and division
To solve problems involving multiplication and division
To solve multi-step problems (in the context of measure)
To solve problems involving multiplication and division.
To solve problems (multi-step).
To solve problems involving scaling and comparison.
X2 consolidation lessons

8. Autumn Term Block 4 - Calculation Further Multiplication and Division
Curriculum Objective Coverage
Small Step
Lesson Breakdown
Additional Planning Guidance
recall multiplication and division facts for multiplication tables up to 12 × 12
use place value, known and derived facts to multiply and divide mentally, including: multiplying by 0 and 1; dividing by 1; multiplying together 3 numbers
recognise and use factor pairs and commutativity in mental calculations
To multiply by 0 and 1
To divide by 1
To understand commutativity
To multiply 3 numbers
To multiply with multiples of 10

9. Spring Term Overviews

10. Spring Term Block 1 - Calculation Further Multiplication and Division
Curriculum Objective Coverage
Small Step
Lesson Breakdown
Additional Planning Guidance
recall multiplication and division facts for multiplication tables up to 12 × 12
recognise and use factor pairs and commutativity in mental calculations
multiply two-digit and three-digit numbers by a one-digit number using formal written layout
solve problems involving multiplying and adding, including using the distributive law to multiply two-digit numbers by 1 digit, integer scaling problems and harder correspondence problems such as n objects are connected to m objects
To multiply 2-digit numbers
Use It
Missing numbers: 72 = __ x __ Which pairs of numbers could be written in the boxes?
Making links: Eggs are bought in boxes of 12. I need 140 eggs; how many boxes will I need to buy?
Use a fact: 63 ÷ 9 = 7 Use this fact to work out 126 ÷ 9 = __; 252 ÷ 7 =__.
Explain It
Making links: How can you use factor pairs to solve this calculation? 13 x 12 (13 x 3 x 4, 13 x 3 x 2 x 2, 13 x 2 x 6)
Will the answer to the following calculations be greater or less than 300 ;152 x 2=; 78 x 3 =; 87 x 3 =; 4 x 74 =. Explain how you know.
Evaluate It
Always, sometimes, never? An even number that is divisible by 3 is also divisible by 6.
Always, sometimes never? The sum of four even numbers is divisible by 4.
Use the inverse to check if the following calculations are correct: 23 x 4 = 92; 117 ÷ 9 = 14
Prove It
What goes in the missing box? 6 __ x 4 = 512
When multiplying by 7, using the digits 3, 4 and 6 in the calculation how close can you get to 4500? What is the largest product? What is the smallest product?
To multiply 2-digit numbers with renaming
To multiply multiples of 100
To multiply 3-digit numbers
To multiply 3-digit numbers with renaming
To divide 2-digit numbers
To divide 3-digit numbers
To divide 2-digit numbers with remainders
To divide 3-digit numbers with remainders
To solve multiplication and division word problems
To solve multi-step multiplication and division word problems
X2 Consolidation and review

11. Spring Term Block 2 - Statistics Graphs
Curriculum Objective Coverage
Small Step
Lesson Breakdown
Additional Planning Guidance
interpret and present discrete and continuous data using appropriate graphical methods, including bar charts and time graphs
solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs
To draw and read picture graphs and bar graphs
Use It!
Create a question. Pupils ask (and answer) questions about different statistical representations using key vocabulary relevant to the objectives.
Evaluate It!
True or false? (Looking at a graph showing how the class sunflower is growing over time) “Our sunflower grew the fastest in July”.
What’s the same, what’s different? Pupils identify similarities and differences between different representations and explain them to each other
Explain It!
Explain how you know…
How does the graph show…
How could you use the graph to show…
Prove It!
____ has increased more than ____. Prove it using a calculation.
____ has more than ____.
To draw and read bar graphs
To draw and read line graphs
To draw and read a line graph
To draw and read line graphs (drawing focus)

12. Spring Term Block 3 – Fractions, Decimals, Percentages Fractions
Curriculum Objective Coverage
Small Step
Lesson Breakdown
Additional Planning Guidance
recognise and show, using diagrams, families of common equivalent fractions
count up and down in hundredths; recognise that hundredths arise when dividing an object by 100 and dividing tenths by 10
solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including non-unit fractions where the answer is a whole number
add and subtract fractions with the same denominator
solve simple measure and money problems involving fractions and decimals to 2 decimal places
To count in hundredths
Use It!
What comes next? 83/100, 82/100, 81/100, ….., ….., …..; 31/100, 41/100, 51/100, ….., …..,
Complete the pattern. 1/10 = 10/100 = 0.1 2/10 = 20/100 = 0.2 etc. 10/10 = 100/100 = 1
The answer is 3/5, what is the question?
Explain It!
Give an example of a fraction that is more than a half but less than a whole. Now another example that no one else will think of. Explain how you know the fraction is more than a half but less than a whole. (draw an image)
Do, then explain. Circle each decimal which when rounded to the nearest whole number is Explain your reasoning
Evaluate It!
Spot the mistake! sixty tenths, seventy tenths, eighty tenths, ninety tenths, twenty tenths … and correct it.
What do you notice? 1/10 of 100 = 10; 1/100 of 100 = 1; 2/10 of 100 = 20; 2/100 of 100 = 2. How can you use this to work out 6/10 of 200? 6/100 of 200?
Odd one out. Which is the odd one out in each of these trio? 5¾, 9/12, 4/6; 9/12, 10/15, 2/3. Why?
What do you notice? Find 4/6 of 24. Find 2/3 of 24. Can you write any other similar statements?
What do you notice? 5/5 – 1/5 = 4/5, 4/5 – 1/5 = 3/5 Continue the pattern. Can you make up a similar pattern for addition?
What do you notice? 11/ /100 = 1, 12/ /100 = 1, 13/ /100 = 1 Continue the pattern for the next five number sentences
Prove It!
True or false? 1/20 of a metre= 20cm; 4/100 of 2 metres = 40cm
To write mixed number fractions
To show mixed number fractions on a number line
To find equivalent fractions
To simplify mixed number fractions
To simplify improper fractions
To add fractions
To add fractions with mixed numbers
To add fractions providing answers in simplest forms
To subtract fractions
To subtract fractions with equivalence
To calculate fractions of quantities (not in book)
To calculate fractions of quantities including non-unit fractions (not in book)
To solve fraction word problems

13. Spring Term Block 4 - Measurement Time
Curriculum Objective Coverage
Small Step
Lesson Breakdown
Additional Planning Guidance
convert between different units of measure [for example, kilometre to metre; hour to minute]
read, write and convert time between analogue and digital 12- and 24-hour clocks
solve problems involving converting from hours to minutes, minutes to seconds, years to months, weeks to days
To tell the time on a 24-hour clock
Use It!
Position the symbols. Explain your thinking
Undoing. Imran’s swimming lesson lasts 50 mins and it takes 15 mins to change and get ready for the lesson. What time does Imran need to arrive if his lesson finishes at 6.15pm?
Write more statements.
Working backwards. Put these times of the day in order, starting with the earliest time. A: Quarter to four in the afternoon; B: 07:56; C: six minutes to nine in the evening; D: 14:36
Evaluate It!
How many ways?
Always, sometimes, never.
What do you notice? 1:00pm = 13:00; 2:00pm = 14:00 Continue the pattern
Explain It!
Top Tips.
Explain thinking . The time is 10:35 am. Jack says that the time is closer to 11:00am than to 10:00am. Is Jack right? Explain why.
Prove It!
Convince me.
The answer is …. What is the question?
To convert between minutes and seconds
To convert between hours and minutes
To solve time problems
To solve word problems on duration

14. Spring Term Block 5 – Fractions, Decimals, Percentages Decimals
Curriculum Objective Coverage
Small Step
Lesson Breakdown
Additional Planning Guidance
count up and down in hundredths; recognise that hundredths arise when dividing an object by 100 and dividing tenths by 10
recognise and write decimal equivalents of any number of tenths or hundreds
recognise and write decimal equivalents to ¼, ½, ¾.
find the effect of dividing a one- or two-digit number by 10 and 100, identifying the value of the digits in the answer as ones, tenths and hundredths
round decimals with 1 decimal place to the nearest whole number
compare numbers with the same number of decimal places up to 2 decimal places
solve simple measure and money problems involving fractions and decimals to 2 decimal places
To record tenths
Use It!
Missing symbol. Put the correct symbol < or > in each box __ 3.33; 0.37__0.32
Another and another. Write a decimal number (to one decimal place) which lies between a half and three quarters? … and another, … and another, …
Another and another. Write down a number with one decimal place which when multiplied by 10 gives an answer between 120 and and another, … and another, …
Explain It!
Do, then explain. Circle each decimal which when rounded to the nearest whole number is Explain your reasoning
Top tips. Explain how to round numbers to one decimal place?
Put these numbers in the correct order, starting with the smallest. ¼, 0.75, 5/10. Explain your thinking
Evaluate It!
Spot the mistake! sixty tenths, seventy tenths, eighty tenths, ninety tenths, twenty tenths … and correct it.
Prove It!
What needs to be added to 3.23 to give 3.53?
What needs to be added to 3.16 to give 3.2?
Undoing. I divide a number by 100 and the answer is 0.3. What number did I start with?
To record in tenths
To write hundredths
To record hundredths
To write decimal numbers
To compare and order decimal numbers
To create number sequences
To round decimal numbers
To write fractions as decimal numbers
To divide whole numbers by 10
X4 consolidation lessons

15. Summer Term Overviews

16. Summer Term Block 1 - Measurement Money
Curriculum Objective Coverage
Small Step
Lesson Breakdown
Additional Planning Guidance
estimate, compare and calculate different measures, including money in pounds and pence
solve problems involving converting from hours to minutes, minutes to seconds, years to months, weeks to days
To record amounts of money.
Use It!
Position the symbols. Place the correct symbols between the measurements > or <. £23.61__2326p__2623p Explain your thinking
Undoing.
Write more statements.
Working backwards.
Evaluate It!
How many ways?
Always, sometimes, never.
What do you notice?
Explain It!
Top Tips.
Explain thinking .
Prove It!
Convince me.
The answer is …. What is the question?
To compare total amounts of money.
To round to the nearest pound (whole number).
To solve money problems (addition and subtraction).
To solve money problems (multiplication).
To solve money problems (comparison).
To estimate amounts of money.
2x consolidate and review

17. Summer Term Block 2 - Measurement Mass, Volume and Length
Curriculum Objective Coverage
Small Step
Lesson Breakdown
Additional Planning Guidance
convert between different units of measure [for example, kilometre to metre; hour to minute]
measure and calculate the perimeter of a rectilinear figure (including squares) in centimetres and metres
estimate, compare and calculate different measures, including money in pounds and pence
To measure mass
Use It!
Position the symbols.
Undoing.
Write more statements. One battery weighs the same as 60 paperclips; One pencil sharpener weighs the same as 20 paperclips.
Working backwards.
Evaluate It!
How many ways?
Always, sometimes, never.
What do you notice?
Explain It!
Top Tips. Put these amounts in order starting with the largest. Half of three litres, Quarter of two litres, 300 ml. Explain your thinking
Explain thinking .
Prove It!
Testing conditions.
The answer is … metres. What is the question?
To convert units of mass
To measure volume
To convert units of volume
To measure height
To measure length
To convert units of length
To measure perimeter in cm and mm
To solve problems in measurement involving scale reading
3x consolidation and review

18. Spring Term Block 3 - Measurement Area of Figures
Curriculum Objective Coverage
Small Step
Lesson Breakdown
Additional Planning Guidance
measure and calculate the perimeter of a rectilinear figure (including squares) in centimetres and metres
find the area of rectilinear shapes by counting squares
To find area
Use It!
Position the symbols.
Undoing.
Write more statements.
Working backwards.
Evaluate It!
How many ways?
Always, sometimes, never. If you double the area of a rectangle, you double the perimeter.
What do you notice?
Explain It!
Top Tips.
Explain thinking .
Prove It!
Testing conditions. If the width of a rectangle is 3 metres less than the length and the perimeter is between 20 and 30 metres, what could the dimensions of the rectangle be? Convince me.
To measure area
To measure area including half squares
To measure area using multiplication
To measure area in different orientations

19. Summer Term Block 4 - Geometry Properties of Shape
Curriculum Objective Coverage
Small Step
Lesson Breakdown
Additional Planning Guidance
compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes
identify acute and obtuse angles and compare and order angles up to 2 right angles by size
identify lines of symmetry in 2-D shapes presented in different orientations
complete a simple symmetric figure with respect to a specific line of symmetry
To identify types of angles
Use It!
Draw a shape that has….
Sort these shapes.
Explain It!
Other possibilities. Can you show or draw a polygon that fits both of these criteria? What do you look for? ”Has exactly two equal sides.” ”Has exactly two parallel sides.”
Evaluate It!
What’s the same, what’s different? What is the same and what is different about the diagonals of these 2-D shapes? (rectangle and parallelogram)
Always, sometimes, never. Is it always, sometimes or never true that the two diagonals of a rectangle meet at right angles.
Prove It!
Visualising. Imagine a square cut along the diagonal to make two triangles. Describe the triangles. Join the triangles on different sides to make new shapes. Describe them. (you could sketch them) Are any of the shapes symmetrical? Convince me.
Other possibilities Can you draw a non-right angled triangle with a line of symmetry? Are there other possibilities.
Convince me. Ayub says that he can draw a right angled triangle which has another angle which is obtuse. Is he right? Explain why.
To compare angles
To classify triangles
To identify symmetrical figures
To draw lines of symmetry
To draw symmetrical figures
To make symmetrical figures
To complete symmetrical figures
To sort shapes
1x consolidation and review

20. Summer Term Block 5 - Geometry Position and Direction
Curriculum Objective Coverage
Small Step
Lesson Breakdown
Additional Planning Guidance
describe positions on a 2-D grid as coordinates in the first quadrant
describe movements between positions as translations of a given unit to the left/right and up/down
plot specified points and draw sides to complete a given polygon
To describe position
Use It!
What is the missing coordinate to make a right-angled triangle? Are there any other possible answers?
Explain It!
Explain what has happened for shape A to become shape B.
Top Tips.
Evaluate It!
Working backwards. Here are the co-ordinates of corners of a rectangle which has width of 5. (7, 3) and (27, 3) What are the other two co-ordinates?
True or False?
Always ,sometimes, never.
Prove It!
Adding to the x coordinate is the same as translating right or left.
To plot coordinates
To describe movements

21. Summer Term Block 6 – Number and Place Value Roman Numerals
Curriculum Objective Coverage
Small Step
Lesson Breakdown
Additional Planning Guidance
read Roman numerals to 100 (I to C) and know that over time, the numeral system changed to include the concept of 0 and place value
To write roman numerals to 20
To write roman numerals to 100
3x consolidate and review