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📘 Year 4 Maths – FULL Curriculum


A. Numbers and comparing

  1. Even or odd

  2. Even or odd: arithmetic rules

  3. Skip-counting by 6

  4. Skip-counting by 7

  5. Skip-counting by 9

  6. Skip-counting puzzles

  7. Number sequences

  8. Ordinal numbers to 100th

  9. Writing numbers up to 10,000 in words: convert words to digits

  10. Writing numbers up to 10,000 in words: convert digits to words

  11. Roman numerals

  12. Compare numbers up to 1,000

  13. Compare numbers up to 100,000

  14. Compare numbers in tables: up to 100,000

  15. Put numbers in order: up to 1,000

  16. Put numbers in order: up to 100,000

  17. Comparing – with addition and subtraction

  18. Multi-step inequalities


B. Place values

  1. Place value models up to thousands

  2. Place value names up to thousands

  3. Place value names up to hundred thousands

  4. Value of a digit

  5. Convert to/from a number

  6. Convert between place values

  7. Convert from expanded form

  8. Convert between standard and expanded form

  9. Place value word problems


C. Addition

  1. Add a two-digit number to a three-digit number

  2. Add a two-digit number to a three-digit number – word problems

  3. Complete the addition sentence – add a two-digit number to a three-digit number

  4. Balance addition equations – add a two-digit number to a three-digit number

  5. Use compensation to add – up to three digits plus two digits

  6. Add two three-digit numbers

  7. Addition input/output tables – up to three digits

  8. Add two three-digit numbers – word problems

  9. Complete the addition sentence – three-digit numbers

  10. Balance addition equations – three-digit numbers

  11. Add three or more numbers with up to three digits each

  12. Add three or more numbers with up to three digits – word problems

  13. Add multiples of 10, 100 or 1,000 to whole numbers

  14. Addition patterns over increasing place values

  15. Add two numbers with up to four digits

  16. Addition input/output tables – up to four digits

  17. Add two numbers with up to four digits – word problems

  18. Complete the addition sentence – up to four digits

  19. Balance addition equations – up to four digits

  20. Add three or more numbers with up to four digits

  21. Add three or more numbers with up to four digits – word problems

  22. Addition: fill in the missing digits


D. Subtraction

  1. Subtract a two-digit number from a three-digit number

  2. Subtract a two-digit number from a three-digit number – word problems

  3. Complete the subtraction sentence – three-digit numbers minus two-digit numbers

  4. Balance subtraction equations – three-digit numbers minus two-digit numbers

  5. Subtract three-digit numbers

  6. Subtraction input/output tables – up to three digits

  7. Subtract three-digit numbers – word problems

  8. Complete the subtraction sentence – three-digit numbers

  9. Balance subtraction equations – three-digit numbers

  10. Subtract multiples of 10, 100 or 1,000 from whole numbers

  11. Subtraction patterns over increasing place values

  12. Subtract numbers with up to four digits

  13. Subtraction input/output tables – up to four digits

  14. Subtract numbers with up to four digits – word problems

  15. Complete the subtraction sentence – up to four digits

  16. Subtract across zeros

  17. Subtraction: fill in the missing digits


E. Understand multiplication

  1. Count equal groups

  2. Identify multiplication expressions for equal groups

  3. Write multiplication sentences for equal groups

  4. Relate addition and multiplication for equal groups

  5. Identify multiplication expressions for arrays

  6. Write multiplication sentences for arrays

  7. Make arrays to model multiplication

  8. Write multiplication sentences for number lines


F. Multiplication skill builders

  1. Multiply by 0

  2. Multiply by 1

  3. Multiply by 2

  4. Multiply by 3

  5. Multiply by 4

  6. Multiply by 5

  7. Multiply by 6

  8. Multiply by 7

  9. Multiply by 8

  10. Multiply by 9

  11. Multiply by 10

  12. Multiply by 11

  13. Multiply by 12


G. Multiplication fluency

  1. Multiplication facts for 2, 5, 10

  2. Multiplication facts for 2, 5, 10: true or false?

  3. Multiplication facts for 2, 5, 10: sorting

  4. Multiplication facts for 3, 4, 6

  5. Multiplication facts for 3, 4, 6: true or false?

  6. Multiplication facts for 3, 4, 6: sorting

  7. Multiplication facts for 2, 3, 4, 5, 6 and 10: find the missing factor

  8. Multiplication facts for 7, 8, 9

  9. Multiplication facts for 7, 8, 9: true or false?

  10. Multiplication facts for 7, 8, 9: sorting

  11. Multiplication facts up to 10

  12. Multiplication facts up to 10: true or false?

  13. Multiplication facts up to 10: sorting

  14. Multiplication facts up to 10: find the missing factor

  15. Multiplication facts up to 10: select the missing factors

  16. Multiplication sentences up to 10: true or false?

  17. Squares up to 10 × 10

  18. Multiplication facts to 12

  19. Multiplication facts up to 12: true or false?

  20. Multiplication facts up to 12: sorting

  21. Multiplication facts up to 12: find the missing factor

  22. Multiplication facts up to 12: select the missing factors

  23. Multiplication sentences up to 12: true or false?


H. Multiplication

  1. Multiplication sentences

  2. Choose the multiples of 2, 3, 4, 5, 6, 10

  3. Choose the multiples of a given number up to 10

  4. Identify factors

  5. Complete the factor pairs of a number

  6. Multiply one-digit numbers by 10 or 100

  7. Multiply by a multiple of 10 using place value

  8. Multiply by a multiple of 10

  9. Multiply by multiples of 10 and 100

  10. Multiplication patterns over increasing place values

  11. Multiplication input/output tables

  12. Multiplication input/output tables: find the rule

  13. Multiplication word problems

  14. Multiplication word problems: find the missing factor

  15. Compare numbers using multiplication

  16. Compare numbers using multiplication: word problems

  17. Multiply one-digit numbers by two-digit numbers using area models I

  18. Multiply one-digit numbers by two-digit numbers using area models II

  19. Multiply one-digit numbers by two-digit numbers

  20. Multiply one-digit numbers by two-digit numbers: word problems

  21. Multiply one-digit numbers by three-digit numbers using area models I

  22. Multiply one-digit numbers by three-digit numbers using area models II

  23. Multiply one-digit numbers by three-digit numbers

  24. Multiply one-digit numbers by three-digit numbers: word problems

  25. Multiply three or more numbers

  26. Multiply three or more numbers: word problems


I. Understand division

  1. Divide by counting equal groups

  2. Write division sentences for equal groups

  3. Relate multiplication and division for equal groups

  4. Write division sentences for arrays

  5. Relate multiplication and division for arrays


J. Division skill builders

  1. Divide by 1

  2. Divide by 2

  3. Divide by 3

  4. Divide by 4

  5. Divide by 5

  6. Divide by 6

  7. Divide by 7

  8. Divide by 8

  9. Divide by 9

  10. Divide by 10

  11. Divide by 11

  12. Divide by 12


K. Division fluency

  1. Division facts for 2, 5, 10

  2. Division facts for 2, 5, 10: true or false?

  3. Division facts for 3, 4, 6

  4. Division facts for 3, 4, 6: true or false?

  5. Division facts for 7, 8, 9

  6. Division facts for 7, 8, 9: true or false?

  7. Division facts up to 10

  8. Division facts up to 10: true or false?

  9. Division facts up to 10: sorting

  10. Division facts up to 10: find the missing number

  11. Division facts up to 10: select the missing numbers

  12. Division sentences up to 10: true or false?

  13. Division facts up to 12

  14. Division facts up to 12: true or false?

  15. Division facts up to 12: sorting

  16. Division facts up to 12: find the missing number

  17. Division facts up to 12: select the missing numbers

  18. Division sentences up to 12: true or false?


L. Division

  1. Complete the division table

  2. Division patterns over increasing place values

  3. Divide numbers ending in zeros

  4. Division input/output tables

  5. Division word problems

  6. Divide two-digit numbers by one-digit numbers using area models

  7. Divide two-digit numbers by one-digit numbers

  8. Divide two-digit numbers by one-digit numbers: word problems

  9. Divide three-digit numbers by one-digit numbers using area models

  10. Divide using repeated subtraction

  11. Divide using partial quotients

  12. Divide three-digit numbers by one-digit numbers

  13. Divide three-digit numbers by one-digit numbers: word problems

  14. Divisibility rules for 2, 5 and 10


M. Mixed operations

  1. Addition, subtraction, multiplication and division facts

  2. Complete the addition, subtraction, multiplication or division sentence

  3. Multiplication and division facts up to 5: true or false?

  4. Multiplication and division facts up to 10: true or false?

  5. Multiplication and division facts up to 12: true or false?

  6. Multiplication and division sentences up to 12: true or false?

  7. Write numerical expressions

  8. Add, subtract and multiply

  9. Add, subtract, multiply and divide

  10. Input/output tables: add and subtract by 1,000

  11. Input/output tables

  12. Input/output tables: find the rule

  13. Add and subtract data from tables

  14. Addition and subtraction word problems

  15. Multiplication and division word problems

  16. Comparison word problems: addition or multiplication?

  17. Addition, subtraction and multiplication word problems

  18. Addition, subtraction, multiplication and division word problems

  19. Two-step addition and subtraction word problems

  20. Two-step multiplication and division word problems

  21. Two-step mixed operation word problems

  22. Numerical operations: find the missing sign


N. Properties

  1. Addition, subtraction, multiplication and division terms

  2. Understanding brackets

  3. Properties of addition

  4. Complete the equation using properties of addition

  5. Add using properties

  6. Properties of multiplication

  7. Distributive property: find the missing factor

  8. Multiply using the distributive property

  9. Solve using properties of multiplication

  10. Relate addition and multiplication

  11. Relate multiplication and division

  12. Multiply by 0 or 1: complete the sentence


O. Integers

  1. Understanding integers

  2. Count on a number line with negative numbers

  3. Graph integers on number lines

  4. Compare and order integers using a number line


P. Equations and variables

  1. Identify equations

  2. Solve for the variable: addition and subtraction

  3. Solve for the variable: multiplication and division

  4. Solve for the variable: addition, subtraction, multiplication and division

  5. Write variable expressions

  6. Write variable expressions from word problems

  7. Write variable equations to represent word problems


Q. Estimation and rounding

  1. Round using a number line – nearest ten or hundred

  2. Round to the nearest ten or hundred

  3. Round to the nearest ten, hundred or thousand

  4. Round money amounts

  5. Rounding puzzles

  6. Solve inequalities using estimation

  7. Estimate sums up to 1,000

  8. Estimate sums

  9. Estimate sums – word problems

  10. Estimate differences up to 1,000

  11. Estimate differences

  12. Estimate differences – word problems

  13. Estimate products: multiply by 1-digit numbers

  14. Estimate products: multiply by 2-digit numbers

  15. Estimate products – word problems

  16. Estimate quotients

  17. Estimate quotients – word problems

  18. Estimate sums, differences, products and quotients – word problems


R. Logical reasoning

  1. Guess the number

  2. Largest/smallest number possible

  3. Find the order

  4. Age puzzles

  5. Find two numbers based on sum and difference

  6. Find two numbers based on sum, difference, product and quotient


S. Patterns

  1. Repeating patterns

  2. Growing patterns

  3. Find the next shape in a pattern

  4. Complete a repeating pattern

  5. Make a repeating pattern

  6. Find the next row in a growing pattern


T. Money

  1. Count coins and notes – up to £5 note

  2. Purchases – do you have enough money – up to £10

  3. Which picture shows more?

  4. Making change

  5. Inequalities with money

  6. Put money amounts in order

  7. Add and subtract money – up to £1

  8. Add and subtract money amounts

  9. Add and subtract money – word problems – up to £1

  10. Add and subtract money amounts – word problems

  11. Price lists


U. Time

  1. Match clocks and times

  2. Match analogue and digital clocks

  3. Read clocks and write times

  4. A.M. or P.M.

  5. Write times

  6. Elapsed time: find the end time

  7. Find the elapsed time

  8. Elapsed time word problems

  9. Read a calendar

  10. Relate time units

  11. Time patterns

  12. Convert between hours and fractions of hours

  13. Convert between 12-hour and 24-hour time

  14. Reading schedules – 12-hour time

  15. Reading schedules – 24-hour time

  16. Timelines


V. Data and graphs

  1. Objects on a coordinate plane

  2. Graph points on a coordinate plane

  3. Coordinate planes as maps – find the coordinates

  4. Coordinate planes as maps – count the distance

  5. Coordinate planes as maps – find the distance or travel time

  6. Direction to starting point

  7. Interpret tally charts

  8. Interpret frequency tables

  9. Create frequency tables

  10. Interpret bar graphs

  11. Use bar graphs to solve problems

  12. Interpret bar graphs: two-step problems

  13. Create bar graphs

  14. Interpret bar graphs for grouped data

  15. Create bar graphs for grouped data

  16. Interpret line plots

  17. Create line plots

  18. Interpret pictograms

  19. Create pictograms

  20. Interpret line graphs

  21. Create line graphs

  22. Count shapes in a Venn diagram

  23. Sort shapes into a Venn diagram


W. Units of measurement

  1. Read a thermometer

  2. Reasonable temperature

  3. Measure using a centimetre ruler

  4. Measure with different metric units

  5. Which metric unit of length is appropriate?

  6. Compare and convert metric units of length

  7. Metric mixed units of length

  8. Which metric unit of mass is appropriate?

  9. Compare and convert metric units of mass

  10. Greater or smaller volume

  11. Measure liquid volumes – metric units

  12. Which metric unit of volume is appropriate?

  13. Compare and convert metric units of volume

  14. Conversion tables – metric units

  15. Which imperial unit of length is appropriate?

  16. Compare and convert imperial units of length

  17. Which imperial unit of weight is appropriate?

  18. Compare and convert imperial units of weight

  19. Which imperial unit of volume is appropriate?

  20. Compare and convert imperial units of volume

  21. Conversion tables – imperial units

  22. Choose the appropriate measuring tool


X. Two-dimensional figures

  1. Identify polygons

  2. Count and compare sides and vertices

  3. Draw polygons

  4. Is it a polygon?

  5. Regular and irregular polygons

  6. Plot points to draw a polygon

  7. Lines, line segments and rays

  8. Angles greater than, less than or equal to a right angle

  9. Acute, right and obtuse angles

  10. Acute, right and obtuse angles – with a protractor

  11. Angles of 90, 180, 270 and 360 degrees

  12. Parallel and perpendicular lines

  13. Reflection, rotation and translation

  14. Translations

  15. Reflections

  16. Identify congruent shapes

  17. Symmetry

  18. Identify lines of symmetry

  19. Draw lines of symmetry

  20. Count lines of symmetry


Y. Triangles and quadrilaterals

  1. Acute, obtuse and right triangles

  2. Scalene, isosceles and equilateral triangles

  3. Parallel sides in quadrilaterals

  4. Identify parallelograms

  5. Identify trapeziums

  6. Identify rectangles

  7. Identify rhombuses

  8. Classify quadrilaterals

  9. Draw quadrilaterals


Z. Perimeter and area

  1. Perimeter of rectangles

  2. Perimeter of rectilinear shapes

  3. Perimeter of polygons

  4. Perimeter: find the missing side length

  5. Perimeter: word problems

  6. Find the area of figures made of unit squares

  7. Select figures with a given area

  8. Select two figures with the same area

  9. Tile a rectangle and find the area

  10. Multiply to find the area of a rectangle made of unit squares

  11. Create figures with a given area

  12. Create rectangles with a given area

  13. Find the area of rectangles and squares

  14. Find the missing side length of a rectangle


AA. Three-dimensional figures

  1. Identify three-dimensional shapes

  2. Count vertices, edges and faces

  3. Identify faces of three-dimensional shapes

  4. Three-dimensional shapes in the real world I

  5. Three-dimensional shapes in the real world II

  6. Identify objects with volume

  7. Volume


BB. Understand fractions

  1. Understand fractions: fraction bars

  2. Understand fractions: area models

  3. Show fractions: fraction bars

  4. Show fractions: area models

  5. Match fractions to models

  6. Fractions of a group

  7. Fractions of number lines: unit fractions

  8. Fractions of number lines

  9. Identify fractions on number lines

  10. Graph unit fractions on number lines

  11. Graph fractions on number lines

  12. Unit fractions: modelling word problems

  13. Unit fractions: word problems

  14. Fractions of a whole: modelling word problems

  15. Fractions of a whole: word problems

  16. Fractions of a group: word problems


CC. Compare and order fractions

  1. Graph and compare fractions with the same denominator on number lines

  2. Graph and compare fractions with the same numerator on number lines

  3. Graph and compare fractions on number lines

  4. Compare fractions

  5. Put fractions in order


DD. Equivalent fractions

  1. Find equivalent fractions using area models: two models

  2. Find equivalent fractions using area models: one model

  3. Identify equivalent fractions on number lines

  4. Find equivalent fractions using number lines

  5. Graph equivalent fractions on number lines

  6. Select equivalent fractions

  7. Find equivalent fractions

  8. Graph fractions equivalent to 1 on number lines

  9. Write fractions in lowest terms


EE. Operations with fractions

  1. Fractions of a number – unit fractions

  2. Fractions of a number

  3. Fractions of a number – unit fractions: word problems

  4. Fractions of a number: word problems

  5. Decompose fractions into unit fractions

  6. Decompose fractions

  7. Add fractions with the same denominator using number lines

  8. Add fractions with the same denominator

  9. Subtract fractions with the same denominator using number lines

  10. Subtract fractions with the same denominator

  11. Add and subtract fractions with the same denominator using number lines

  12. Add and subtract fractions with the same denominator

  13. Compare sums and differences of fractions with the same denominator

  14. Add and subtract fractions with the same denominator: word problems

  15. Add three or more fractions with the same denominator


FF. Decimals

  1. What decimal number is illustrated?

  2. Model decimals and fractions

  3. Convert fractions to decimals

  4. Convert decimals to fractions

  5. Understanding decimals expressed in words

  6. Round decimals to the nearest whole number

  7. Name the place value of a given digit

  8. Name the digit in a given place value

  9. One-tenth or one-hundredth more or less

  10. Number sequences involving decimals

  11. Graph decimals on number lines

  12. Decimal number lines

  13. Graph fractions as decimals on number lines

  14. Compare decimals using models

  15. Compare decimals on number lines

  16. Inequalities with decimals

  17. Which decimals are greater/less?

  18. Which decimal comparisons are true?

  19. Put decimal numbers in order


GG. Operations with decimals

  1. Add decimal numbers using blocks

  2. Add decimal numbers

  3. Subtract decimal numbers

  4. Add and subtract decimal numbers

  5. Add and subtract decimals: word problems

  6. Add three or more decimal numbers

  7. Add three or more decimal numbers: word problems

  8. Estimate sums and differences of decimals

  9. Multiply a decimal by 10 or 100

  10. Divide a whole number by 10 or 100: decimal quotients

  11. Divide a decimal by 10 or 100


HH. Probability and statistics

  1. More, less and equally likely

  2. Certain, probable, unlikely and impossible

  3. Mean

  4. Range

  5. Interpret charts to find mean

  6. Interpret charts to find range

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