← Year 3

Year 3 maths

Year 3 maths runs to 182 lessons across a 36 week year, for children aged 7 to 8 in Key Stage 2. Every lesson is listed below in teaching order.

The vocabulary a child meets this year includes double, near double, sum, equation, addend, bar model, tens frame, commutative, bridge, partition, number pairs to 10, minuend.

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 3 maths lesson

In the order they are taught. 182 lessons.

Review strategies for adding and subtracting across 10

  1. Add 3 Numbers Using Doubles and Near Doubles
  2. Add 3 Numbers Together in Different Contexts
  3. Numbers can be added in any order
  4. Add Three Addends by Finding Pairs That Total 10
  5. Add Three Addends Efficiently Using a Range of Strategies
  6. Addition by Bridging Through 10
  7. Subtracting Small Numbers
  8. Subtracting to and from 10
  9. Subtracting Numbers That Bridge Through 10
  10. Solving Problems Using Addition and Subtraction

Securing place value to 100 and applying to addition and subtraction

  1. Composition of 100 in 10s and 1s
  2. Composition of 100 in 50s, 25s and 20s
  3. Multiples of 10 That Total 100
  4. Use Known Facts to Find Pairs of Numbers That Total 100
  5. Use Known Facts to Find Complements to 100 Efficiently
  6. Represent 3-Digit Multiples of 10 in Different Ways
  7. Use Place Value Knowledge to Write Addition and Subtraction Equations
  8. Bridge 100 by Adding in Multiples of 10
  9. Bridge 100 by Subtracting in Multiples of 10
  10. Solve Problems Using Addition and Subtraction of Multiples of 10

Bridging 100: counting on and back in 10s, adding/subtracting multiples of 10

  1. Count Across and On from 100
  2. Represent a 3-Digit Number Up to 199 in Different Ways
  3. Bridge 100 by Adding or Subtracting a Single-Digit Number
  4. Find 10 More or 10 Less Than a Given Number
  5. Cross the Hundreds Boundary When Adding and Subtracting Any 2-Digit Multiple of 10

Measuring length and recording in tables

  1. Estimate in Metres and Describe a Metre in Different Ways
  2. Measure Length and Height Using Whole Metres and Centimetres
  3. Converting Between Metres and Centimetres
  4. Millimetres: Tiny Units, Big Ideas
  5. Measuring Length and Height Using cm and mm
  6. Converting Between Centimetres and Millimetres
  7. Estimate and Measure Lengths and Heights and Record in a Table
  8. Using Graphs to Represent Lengths and Heights
  9. Solve Problems Involving Length
  10. Solve Problems Involving Length and Height

Representing 3-digit numbers, comparing and positioning on number lines

  1. Represent a 3-Digit Number in Different Ways
  2. Count Forwards and Backwards Within 3-Digit Numbers
  3. Position 3-Digit Numbers on Number Lines
  4. Estimate the Position of 3-Digit Numbers on Unmarked Number Lines
  5. Comparing and Ordering Numbers with 1, 2 and 3 Digits
  6. Ordering Sets of 3-Digit Numbers
  7. Use Known Facts to Add and Subtract Multiples of 100
  8. Write a 3-Digit Multiple of 10 as a Multiplication Equation
  9. Partition 3-Digit Numbers in Different Ways
  10. Use Known Facts to Solve Problems Involving Partitioning Numbers
  11. Use Known Facts to Add and Subtract to and from Multiples of 100
  12. Add and Subtract Bridging 100
  13. Solve problems by adding and subtracting to or from 3-digit numbers
  14. Count Forwards and Backwards in Multiples of 2, 20, 5, 50 and 25
  15. Solve Problems by Counting in Multiples of 2, 20, 5, 50 and 25

Measures: mass and capacity

  1. Become Familiar with Scales with Different Intervals When Measuring in Grams
  2. Measure the Mass of Objects Using Grams
  3. Measure Mass in Whole Kilograms and Grams
  4. Understanding Capacity and Volume
  5. Measuring the Volume of Liquids Using Millilitres
  6. Measure Volume in Whole Litres and Millilitres
  7. Comparing and Estimating Mass and Volume
  8. Estimate then Measure Mass and Volume and Record in a Table
  9. Solve Problems Involving Mass
  10. Solve Problems Involving Volume

Right angles

  1. Make Different Sized Angles by Rotating Two Lines Around a Fixed Point
  2. Identify and Describe Right Angles
  3. Know that a Right Angle Describes a Quarter Turn
  4. Identify Properties of Triangles
  5. Identify Properties of Quadrilaterals
  6. Know that a Rectangle is a Four-Sided Polygon with Four Right Angles
  7. Know that a square is a rectangle in which the four sides are of equal length
  8. Investigate the shapes made when rectangles are cut on the diagonal
  9. Join Four Right Angles at a Point
  10. Investigate and Draw Other Polygons with Right Angles

Informal and mental strategies for adding and subtracting two 3-digit numbers

  1. Add Two 3-Digit Numbers Using Partitioning
  2. Add Two 3-Digit Numbers Using Adjusting Strategies
  3. Add 2 and 3-digit Numbers by Redistributing
  4. Choose the Most Efficient Strategy to Add Two 3-Digit Numbers
  5. Subtract 2 or 3-digit numbers using partitioning and bridging a multiple of 10
  6. Subtract a pair of 2-digit numbers by finding the difference
  7. Subtract 3-Digit Multiples of 10 by Finding the Difference
  8. Choose the Most Efficient Strategy to Subtract from a 3-Digit Number
  9. Solve Problems with Bar Charts, Pictograms and Tables
  10. Use Addition and Subtraction to Solve Problems in Different Contexts

Understand additive relationships and apply them to rearrange equations

  1. Use the Additive Relationship to Rearrange Addition Equations
  2. Use the Additive Relationship to Rearrange Subtraction Equations
  3. The Relationship Between Addition and Subtraction
  4. Identify Knowns and Unknowns in Addition Equations
  5. Identify Knowns and Unknowns in Subtraction Equations
  6. Use the Additive Relationship to Rearrange and Solve Equations
  7. Solve Problems Using Bar Charts, Pictograms and Tables
  8. Reordering Addition and Subtraction Steps
  9. Solve Multi-Step Addition and Subtraction Problems Efficiently
  10. Solve One and Two-Step Problems in Different Contexts

Column addition

  1. Identify the Addends and the Sum in Column Addition
  2. Use Place Value to Lay Out Column Addition Correctly
  3. Add 2-digit numbers using column addition
  4. Add 3-Digit Numbers Using Column Addition
  5. Use Column Addition to Solve Problems
  6. Use Column Addition to Add Numbers by Regrouping Ones
  7. Column Addition: Regrouping Tens
  8. Column Addition with Regrouping in Ones and Tens
  9. Use Known Facts and Strategies to Efficiently Calculate and Check Column Addition
  10. Use Column Addition with Regrouping to Solve Problems

2, 4 and 8 times tables: using times tables to solve problems

  1. Represent counting in fours as the 4 times table
  2. Use Knowledge of the 4 Times Table to Solve Problems
  3. Explain the Relationship Between Adjacent Multiples of Four
  4. Explain the Relationship Between Multiples of 2 and Multiples of 4
  5. Use the 2 and 4 Times Tables Together to Solve Problems
  6. Represent Counting in Eights as the 8 Times Table
  7. Explain the Relationship Between Adjacent Multiples of Eight
  8. Explain the Relationship Between Multiples of 4 and Multiples of 8
  9. Use the 4 and 8 Times Tables Together to Solve Problems
  10. Explain the Relationship Between the Multiples of 2, 4 and 8
  11. Use the 2, 4 and 8 Times Tables to Solve Problems
  12. Divisibility Rules for 2 and 4
  13. The Divisibility Rule for 8: Halve, Halve, Even!
  14. Scale Known Multiplication Facts by 10
  15. Scale Divisions Derived from Multiplication Facts by 10

Column subtraction

  1. Identify the Minuend and Subtrahend in Column Subtraction
  2. Use Column Subtraction to Subtract from a 2- or 3-Digit Number
  3. Subtract from a 2-digit number using column subtraction with regrouping
  4. Subtract from a 3-digit number using column subtraction with regrouping
  5. Make Efficient Use of Subtraction Strategies Including Column Subtraction

Unit fractions as part of a whole

  1. Identify a Whole and the Parts That Make It Up
  2. Parts and Wholes: Why a Part Needs a Whole
  3. Equal and Unequal Parts in a Whole
  4. Identify Equal Parts When They Do Not Look the Same
  5. Explain the Size of a Part in Relation to the Whole
  6. Construct a Whole When Given a Part and the Number of Parts
  7. Identify How Many Equal Parts a Whole Has Been Divided Into
  8. Use Fraction Notation to Describe an Equal Part of the Whole
  9. Represent Unit Fractions in Different Ways
  10. Solve Problems: Equal Parts and the Whole

Identify parts and wholes in different contexts

  1. Parts and Wholes: Lines and 3D Objects
  2. Identify Parts and Wholes in Different Contexts
  3. Equal Parts That Look Different
  4. Equal Parts That Look Different in 3D
  5. Solve Problems by Identifying Parts and Wholes

Compare and order unit fractions

  1. Compare Unit Fractions by Looking at the Denominator
  2. Compare and Order Unit Fractions by Looking at the Denominator
  3. Identify When Unit Fractions Cannot Be Compared
  4. Solve Problems Involving Comparing Unit Fractions
  5. Comparing and Ordering Unit Fractions

Calculate the value of a part (fractions as operators)

  1. Constructing a Whole
  2. Use Knowledge of the Relationship Between Parts and Wholes to Solve Problems
  3. Use Parts and Wholes to Find a Unit Fraction of a Set of Objects
  4. Calculate the Value of Parts and Wholes Using Division
  5. Connect Division with Finding a Fraction of a Quantity

Non-unit fractions

  1. Non-Unit Fractions: Made of More Than One Part
  2. Identify Non-Unit Fractions
  3. Identifying Equal Parts in a Whole in Different Contexts
  4. Use Knowledge of Non-Unit Fractions to Solve Problems
  5. Use Knowledge of Unit Fractions to Find One Whole
  6. Place Fractions Between 0 and 1 on a Number Line
  7. Compare Non-Unit Fractions with the Same Denominator
  8. Comparing Unit Fractions
  9. Compare Fractions with the Same Numerator
  10. Compare Non-Unit Fractions Including Those Equal to 1

Composition of non-unit fractions: addition and subtraction

  1. Use Repeated Addition of a Unit Fraction to Form a Non-Unit Fraction
  2. Use Repeated Addition of a Unit Fraction to Form 1
  3. Add Fractions with the Same Denominator
  4. Add on fractions with the same denominator
  5. Add Fractions with the Same Denominator and Generalise the Rule
  6. Subtract Fractions with the Same Denominator
  7. Add and Subtract Fractions with the Same Denominator
  8. Fractions Are Inverse: Addition and Subtraction Undo Each Other
  9. Subtract Fractions from a Whole by Converting the Whole to a Fraction
  10. Substitute a Fraction to Solve Subtraction Problems

Parallel and perpendicular sides in polygons

  1. Make Shapes by Joining Two Polygons in Different Ways
  2. Investigate Different Ways of Decomposing a Polygon
  3. Draw Polygons on Isometric Paper
  4. Construct Quadrilaterals with Parallel and Perpendicular Sides
  5. Make and Draw Shapes with and without Parallel and Perpendicular Sides
  6. Identifying Parallel Lines
  7. Make and Draw Triangles on Circular Geoboards
  8. Make and Draw Quadrilaterals on Circular Geoboards
  9. Draw Shapes with Given Properties
  10. Draw Shapes with Given Properties on Geometric Grids

Tell the time to the nearest minute and compare units of time

  1. Tell and Write the Time to the Nearest Minute Past
  2. Tell and Write the Time to the Nearest Minute Past and To
  3. Estimate and Compare the Duration of Events and Tasks
  4. Tell and Write the Time Using Roman Numerals
  5. AM and PM: Two Halves of Your Day
  6. Days in Every Month, Year and Leap Year
  7. How Many Seconds in a Minute?

Teach the first maths lesson free

StudyDen puts the next maths lesson on the screen each morning, marks what your child types and writes the record as they go. The first lesson needs no card, then it is £29.99 a month for every child in the family.

Start the first lesson free

Common questions

What does Year 3 maths cover?
Year 3 maths runs to 182 lessons across a 36 week year, covering double, near double, sum, equation, addend, bar model and more.
How many maths lessons are in Year 3?
182 lessons, sequenced in teaching order across the school year.
How old is a child in Year 3?
Children in Year 3 are 7 to 8 years old during the school year in England and Wales.