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Year 4 maths

Year 4 maths runs to 175 lessons across a 36 week year, for children aged 8 to 9 in Key Stage 2. Every lesson is listed below in teaching order.

The vocabulary a child meets this year includes addend, sum, equation, column addition, place value, regroup, ones column, tens column, carry, efficient, estimation, regrouping.

These lessons are written by Oak National Academy, the government-funded curriculum body, and are free to anyone. StudyDen sequences them, marks the answers and keeps the record.

Every Year 4 maths lesson

In the order they are taught. 175 lessons.

Review of column addition and subtraction

  1. Review Column Addition: Addends and Sum
  2. Review and use knowledge of place value to correctly lay out column addition
  3. Review adding 2-digit numbers using column addition without regrouping
  4. Review adding 3-digit numbers using column addition without regrouping
  5. Use Column Addition to Solve Problems in Different Contexts
  6. Column Addition with Regrouping Ones
  7. Review Using Column Addition to Add 2- and 3-Digit Numbers by Regrouping Tens
  8. Column Addition with Regrouping in the Ones and Tens
  9. Smart Adding: Using Known Facts to Check Column Addition
  10. Use Column Addition with Regrouping to Solve Problems
  11. Review: Identifying the Minuend and Subtrahend in Column Subtraction
  12. Review using column subtraction to subtract without regrouping
  13. Column Subtraction with Regrouping from Tens to Ones
  14. Column Subtraction with Regrouping from Hundreds to Tens
  15. Decide on the Most Efficient Subtraction Strategy, Including Column Subtraction

Secure place value to 1000: apply to addition and subtraction: multiples of 100

  1. Explain how many hundreds, tens and ones 1,000 is composed of
  2. Composing Numbers Up to 2,000 Using Hundreds, Tens and Ones
  3. Use Different Strategies to Add Multiples of 100
  4. Use Different Strategies to Subtract Multiples of 100
  5. Use Addition and Subtraction to Solve Problems with Multiples of 100

Calculation and conversion of measures

  1. Use Knowledge of 1,000 to Explain Common Measure Conversions
  2. Partitioning 1,000 in the Context of Measures
  3. Partitioning 1,000 and 2,000 in the context of measures
  4. Use Knowledge of Measure Conversions to Interpret Graphs and Tables
  5. Measure Maths: Solve Problems with Unit Conversions

Comparing, ordering and rounding 4-digit numbers

  1. Decompose 4-Digit Numbers in Different Ways
  2. Compare and Order 4-Digit Numbers
  3. Rounding 4-Digit Numbers to the Nearest Thousand
  4. Round a 4-digit number to the nearest hundred and ten
  5. Round a 4-Digit Number to the Nearest Thousand, Hundred and Ten

Column addition and subtraction with 4-digit numbers

  1. Add up to 3 Four-Digit Numbers Using Column Addition
  2. Subtract 4-digit numbers using column subtraction
  3. Smarter Strategies: Solving Calculations More Efficiently
  4. How Many 500s and 250s Make 1,000?
  5. Explain how many '100s' and '200s', 1,000 is composed of

Perimeter

  1. Regular Polygons: Same Sides, Same Angles
  2. Know That the Perimeter Is the Distance Around a 2D Shape
  3. Different Shapes Can Have the Same Perimeter
  4. Measuring Perimeter: Counting and Units
  5. Know that perimeter can be calculated by adding together the side lengths of a 2D shape
  6. Know that the perimeter of a rectangle can be calculated by addition and multiplication
  7. Finding Missing Sides: Cracking the Perimeter Puzzle
  8. Perimeter of Regular Polygons: Use Multiplication!
  9. Calculate the Side Length of a Regular Polygon by Division
  10. Solve Problems Involving the Perimeter and Side Lengths of Polygons

Represent counting in threes and sixes as the 3 and 6 times tables

  1. Represent Counting in Threes as the 3 Times Table
  2. Explain the Relationship Between Adjacent Multiples of Three
  3. Represent Counting in Sixes as the 6 Times Table
  4. Explain the relationship between adjacent multiples of six
  5. Solve Problems Involving Multiples of 6

Relationship between the 3 and 6 times tables and tests of divisibility

  1. Use Knowledge of the 3 and 6 Times Tables to Solve Problems
  2. Explain the Relationship Between Multiples of Three and Six
  3. Use Knowledge of the 3 and 6 Times Tables to Solve Problems
  4. Use the Divisibility Rules to Find Multiples of 3
  5. Use Divisibility Rules for Multiples of 6

Represent counting in nines as the 9 times table

  1. Represent Counting in Nines as the 9 Times Table
  2. Explain the Relationship Between Adjacent Multiples of Nine
  3. Solve Problems Using Adjacent Multiples of Nine
  4. Use Known Facts from the 10 Times Table to Solve the 9 Times Table
  5. Use Knowledge of the 9 Times Table to Solve Problems

Relationship between the 3 and 9 times tables

  1. Explain the Relationship Between Multiples of Three and Multiples of Nine
  2. The Secret Link Between the 3 and 9 Times Tables
  3. Solve Problems Using the 3 and 9 Times Table
  4. Solve Problems Using Divisibility Rules for 3, 6 and 9
  5. Solve Problems Involving the 3, 6 and 9 Times Tables

7 times table: odd and even patterns, square numbers and tests of divisibility

  1. Represent Counting in Sevens as the 7 Times Table
  2. Explain the Relationship Between Adjacent Multiples of Seven
  3. Use known facts from the 2, 5 and 6 times tables to solve problems involving the 7 times table
  4. Use Knowledge of the 7 Times Table to Solve Problems
  5. Odd and Even Patterns in the Times Tables
  6. Odd and Even Patterns in Times Tables
  7. Represent a Square Number
  8. Identify and Use Square Numbers to Solve Problems
  9. Use Divisibility Rules for 3, 4, 6 and 8 to Solve Problems
  10. Divisibility Rules: Solve Problems with 2, 3, 4, 5, 6, 8 and 10

Understand and represent multiplicative structures

  1. Explain What Each Factor Represents in a Multiplication Equation
  2. Explain How Each Part of a Multiplication and Division Equation Relates to a Story
  3. Zero in Multiplication and Division: A Number Like No Other
  4. Partition One of the Factors in a Multiplication Equation Using Representations
  5. Explain which is the most efficient factor to partition to solve a multiplication problem

Apply the distributive law to multiplication

  1. Use Knowledge of the Distributive Law to Solve Two Part Problems
  2. Use the Distributive Law to Solve Two-Part Subtraction Problems
  3. Use the Distributive Law to Multiply Using Times Tables You Know
  4. Use the Distributive Law to Multiply Beyond Your Times Tables
  5. Use the Distributive Law to Solve Problems

Understand what happens when a number is multiplied or divided by 10 and 100

  1. Multiplying by 10 and Multiples of 10
  2. Multiplying by 10 Makes a Number Ten Times the Size
  3. Multiply Whole Numbers by 10: The Placeholder Secret
  4. Dividing by 10 Makes It One-Tenth Times the Size
  5. Dividing by 10: Why the Zero Disappears
  6. Multiplying by 100 and Multiples of 100
  7. Placeholders: Multiplying Whole Numbers by 100
  8. Explain the removal of placeholders when dividing whole numbers by 100
  9. Use Knowledge of the Composition of 100 to Multiply and Divide by 100 in Different Ways
  10. Explain How Making a Factor 10 Times the Size Affects the Product
  11. Explain how making the dividend 10 times the size affects the quotient
  12. Making a Factor 100 Times the Size
  13. Make the Dividend 100 Times the Size — What Happens to the Quotient?
  14. Scale Known Multiplication Facts by 100
  15. Scale Division Facts Derived from Multiplication Facts by 100

Coordinates

  1. Give Directions from One Position to Another on a Grid
  2. Slide It! Moving Polygons on a Grid
  3. Describe Translations of Polygons on a Square Grid
  4. Draw Polygons Specified by Translations
  5. Mark the Position of Points Using Coordinates in the First Quadrant
  6. Write Coordinates for Already Marked Points in the First Quadrant
  7. Draw Polygons Specified by Coordinates in the First Quadrant
  8. Complete Polygons with Missing Coordinates
  9. Translate Polygons in the First Quadrant
  10. Sliding Shapes: Translating Points on a Coordinate Grid

Review of fractions

  1. Identifying a Whole and the Parts That Make It Up
  2. Identifying the number of equal or unequal parts in a whole
  3. Identifying Equal Parts When They Do Not Look the Same
  4. Explaining the Size of the Part in Relation to the Whole
  5. Review: Constructing a Whole When Given a Part and the Number of Parts

Composition of fractions greater than one

  1. Mixed Numbers: Whole Numbers and Fractional Parts
  2. Explain How a Mixed Number Is Composed
  3. Compose and Decompose Mixed Numbers
  4. Solve problems involving mixed numbers
  5. Accurately Label a Range of Number Lines

Compare and order mixed numbers and position on a number line

  1. Identify Numbers on Marked but Unlabelled Number Lines
  2. Estimate the Position of a Number on a Number Line Using Fraction Sense
  3. Compare and Order Mixed Numbers Using Fraction Sense
  4. Compare Mixed Numbers When the Numerators of Fractional Parts Are Different
  5. Compare Mixed Numbers When the Denominators of Fractional Parts Are Different

Addition and subtraction of fractions and mixed numbers (within a whole)

  1. Efficiently Solve Addition Problems (Within a Whole)
  2. Efficiently Solve Subtraction Problems with Mixed Numbers
  3. Quarters as Mixed Numbers and Improper Fractions
  4. Express an Amount of Fifths as a Mixed Number and an Improper Fraction
  5. Express a Quantity as a Mixed Number and an Improper Fraction

Convert improper fractions to mixed numbers and vice versa

  1. Convert a Number of Quarters from an Improper Fraction to a Mixed Number
  2. Convert a Number of Fifths from an Improper Fraction to a Mixed Number
  3. Converting Improper Fractions to Mixed Numbers
  4. Converting Mixed Numbers to Improper Fractions
  5. Solve Problems: Converting Between Mixed Numbers and Improper Fractions

Efficient strategies for adding and subtracting mixed numbers (crossing a whole)

  1. Add Mixed Numbers Crossing the Whole
  2. Subtract a Proper Fraction from a Mixed Number Crossing the Whole
  3. Subtract a Mixed Number from a Mixed Number
  4. Choose Efficient Approaches When Subtracting Mixed Numbers
  5. Solve Problems: Adding and Subtracting Mixed Numbers

Properties of 2D and 3D shapes and symmetry

  1. Identify Different Types of Triangle
  2. Explore, Sort and Classify Triangles
  3. Complete a Symmetrical Pattern
  4. Explore Symmetry by Joining Two Identical Shapes
  5. Investigate Lines of Symmetry in 2D Shapes by Folding
  6. Find Lines of Symmetry in 2D Shapes
  7. Reflect Polygons in a Line of Symmetry
  8. Reflect Polygons Dissected by the Line of Symmetry
  9. Diagonal Lines of Symmetry
  10. Investigate Symmetry and Symmetrical Patterns

Money: apply efficient strategies when calculating with money

  1. Explain and Represent Whole Pounds as a Quantity of Money
  2. Explain and Represent Whole Pounds and Pence as a Quantity of Money
  3. Comparing Amounts of Money Without Converting
  4. Convert Quantities of Money Between Pounds and Pence
  5. Add Prices Efficiently: Round, Adjust and Redistribute
  6. Calculating Change When Paying With Pounds and Notes
  7. Use and Explain the Most Efficient Strategies When Adding Quantities of Money
  8. Use and explain the most efficient strategies when subtracting quantities of money
  9. Calculate Change When Purchasing Several Items
  10. Solve a Range of Problems, Including Finding Change

Time: Convert between 12 and 24 hour clocks: analogue and digital

  1. Read the Time on a 12 and 24 Hour Digital Clock
  2. Convert Between 12-Hour and 24-Hour Times
  3. Convert from Hours to Minutes and Minutes to Seconds
  4. Convert from Days to Weeks and Months to Years
  5. Solve Problems Involving Writing, Telling and Converting the Time

Division with remainders

  1. Represent division by grouping with multiplication and addition equations
  2. Solve Division Problems with Grouping and Remainders
  3. Represent Division by Sharing with Equations
  4. Solve Division Problems Involving Sharing, Including Those with Remainders
  5. Use Multiplication Facts to Answer Division Questions
  6. Explain how the remainder relates to the divisor in a division equation
  7. Identify when there will be a remainder
  8. Use Knowledge of Division Equations and Remainders to Solve Problems
  9. Decide What to Do with the Answer to a Division Calculation
  10. Use Knowledge of Division to Solve Problems

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Common questions

What does Year 4 maths cover?
Year 4 maths runs to 175 lessons across a 36 week year, covering addend, sum, equation, column addition, place value, regroup and more.
How many maths lessons are in Year 4?
175 lessons, sequenced in teaching order across the school year.
How old is a child in Year 4?
Children in Year 4 are 8 to 9 years old during the school year in England and Wales.