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Year 5 maths

Year 5 maths runs to 185 lessons across a 36 week year, for children aged 9 to 10 in Key Stage 2. Every lesson is listed below in teaching order.

The vocabulary a child meets this year includes whole, equal, tenth, fraction, multiple, one tenth the size, tenths column, decimal point, fractional part, place value chart, decimal number, dual counting.

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 5 maths lesson

In the order they are taught. 185 lessons.

Understand tenths as part of a whole, represent and calculate mentally

  1. Identify Tenths as Part of a Whole
  2. Describe and Represent Tenths as a Decimal Number
  3. Count Tenths in Different Ways
  4. Describe and Write Decimal Numbers with Tenths in Different Ways
  5. Compare and Order Decimal Numbers with Tenths

Compose and calculate with decimals including column addition and subtraction

  1. Explain that decimal numbers with tenths can be composed additively
  2. Decimal Numbers with Tenths as Multiplication
  3. Decimal Detectives: Using Known Facts to Calculate with Tenths
  4. Column Addition and Subtraction with Decimal Numbers
  5. Rounding Decimals with Tenths to the Nearest Whole Number

Understand hundredths as parts of a whole and represent

  1. Identify Hundredths as Part of a Whole
  2. Describe and Represent Hundredths as a Decimal Number
  3. Describe and Write Decimal Numbers with Hundredths in Different Ways
  4. Compare and Order Decimal Numbers with Hundredths
  5. Partitioning Decimal Numbers with Hundredths in Different Ways

Use knowledge of decimals to solve problems in different contexts: length

  1. Converting Between Metres and Centimetres Using Decimal Place Value
  2. Explain that different lengths can be composed additively and multiplicatively
  3. Use Knowledge of Decimal Place Value to Solve Problems in Different Contexts
  4. Use Knowledge of Place Value to Calculate with Decimal Numbers Up to and Bridging One Tenth
  5. Column Addition and Subtraction with Decimals: Tenths and Hundredths
  6. Round a Decimal Number with Hundredths to the Nearest Tenth
  7. Round a Decimal Number with Hundredths to the Nearest Whole Number
  8. Read and Write Numbers with Up to 3 Decimal Places
  9. Compare and Order Numbers with Up to 3 Decimal Places
  10. Solve Problems with Numbers with Up to 3 Decimal Places

Negative numbers

  1. Represent a Change Story Using Addition and Subtraction Symbols
  2. Interpret numbers greater than and less than zero in different contexts
  3. Read and Write Negative Numbers
  4. Explain How the Value of a Number Relates to Its Position from Zero
  5. Identify and Place Negative Numbers on a Number Line
  6. Negative and Positive Numbers in the Real World
  7. Use Knowledge of Positive and Negative Numbers to Calculate Intervals
  8. Negative Numbers on a Coordinate Grid
  9. Reading Positive and Negative Numbers on Graphs
  10. Solve Problems with Positive and Negative Numbers

Multiplication by partitioning leading to short multiplication (2 by 1-digit)

  1. Multiply a 2-Digit Number by a 1-Digit Number Using Partitioning and Representations (One Regroup)
  2. Multiply a 2-Digit Number by a 1-Digit Number: Two Regroups
  3. Multiply a 2-Digit Number by a 1-Digit Number Using Partitioning
  4. Multiply a 2-Digit Number by a 1-Digit Number Using Expanded Multiplication (No Regroups)
  5. Multiply a 2-Digit Number by a 1-Digit Number Using Short Multiplication (No Regroups)
  6. Multiply a 2-digit number by a 1-digit number using expanded multiplication (regrouping 1s to 10s)
  7. Multiply a 2-Digit Number by a 1-Digit Number Using Short Multiplication (Regrouping 1s to 10s)
  8. Multiply a 2-Digit Number by a 1-Digit Number Using Expanded Multiplication (Regrouping 10s to 100s)
  9. Short Multiplication: Regrouping 10s to 100s
  10. Estimate and Multiply: 2-Digit × 1-Digit Numbers

Multiplication by partitioning leading to short multiplication (3 by 1-digit)

  1. Multiply a 3-Digit by a 1-Digit Number Using Partitioning
  2. Multiply a 3-Digit by a 1-Digit Number with No Regroups
  3. Multiply a 3-Digit by a 1-Digit Number with One or Two Regroups
  4. Multiply a 3-Digit by a 1-Digit Number with Multiple Regroups
  5. Use Estimation to Support Accurate Calculation

Division by partitioning leading to short division (2 and 3-digits by 1-digit)

  1. Divide a 2-Digit by a 1-Digit Number Using Partitioning
  2. Divide a 2-digit by a 1-digit number using partitioning (with regrouping)
  3. Divide a 2-Digit by a 1-Digit Number: Exchanging and Remainders
  4. Divide a 2-Digit by a 1-Digit Number Using Short Division (No Regrouping)
  5. Divide a 2-Digit by a 1-Digit Number Using Short Division (with Regrouping)
  6. Divide a 2-Digit Number Using Short Division (with Regrouping and Remainders)
  7. Divide a 3-Digit by a 1-Digit Number Using Partitioning
  8. Divide a 3-Digit Number Using Partitioning and Representations (One Regroup)
  9. Divide using partitioning and representations (multiple regroups and remainder)
  10. Divide a 3-Digit by a 1-Digit Number Using Short Division
  11. Divide Using Short Division with Regrouping and Remainders
  12. Short Division When the Hundreds Digit Is Smaller Than the Divisor
  13. Use Efficient Division Strategies to Solve Problems
  14. Solve Problems Involving Multiplication and Division
  15. Solve Problems Involving Multiplication and Division in a Range of Contexts

Understand the concept of area

  1. Explain What Area Is
  2. Measure Area Using Counting with Squares as a Strategy
  3. Explain How to Make Different Shapes with the Same Area
  4. Explain How to Compare the Area of Different Shapes
  5. Solve Problems Involving Counting and Drawing the Areas of Different Shapes

Link area of rectangles to multiplication

  1. Measure the Area of Flat Shapes Using Square Centimetres
  2. Measure the Area of Flat Shapes Using Square Metres
  3. Explain how to calculate the area of a rectangle using multiplication
  4. Calculate the Areas of Rectangles Using Multiplication
  5. Calculate the Area of Shapes Made from 2 Rectangles by Decomposing in Different Ways
  6. Calculate the Area of Compound Rectilinear Shapes
  7. Choose an Efficient Way to Decompose a Compound Shape to Calculate the Area
  8. Calculate Missing Dimensions in Rectangles and Compound Rectilinear Shapes
  9. Calculate the Area of Shapes Made from 2 or More Rectangles
  10. Use Knowledge of Area to Solve Problems in a Range of Contexts

Compare and describe measurements using knowledge of multiplication and division

  1. Compare and Describe Lengths Using Multiplication
  2. Solve Comparison and Change Problems Using Multiplication
  3. Compare and Describe Lengths Using Division
  4. Solve comparison and change problems using division
  5. Solve Problems Involving Comparison and Change
  6. Compare and Describe Measurements Involving Mass and Capacity
  7. Compare and Describe Measurements Involving Time and Money
  8. Describe Changes in Measurement Using Multiplication and Division
  9. Use Knowledge of Multiplication and Division to Solve Comparison and Change Problems
  10. Solve Comparison and Change Problems in a Range of Contexts

Calculating with decimal fractions

  1. Multiplying and Dividing by 10, 100 and 1,000
  2. Multiplying and Dividing by 10, 100 and 1,000 — Including Bridging 1
  3. Explain how to multiply and divide a number by 10, 100 and 1,000
  4. Converting Units of Length
  5. Converting Units of Mass and Capacity
  6. Multiply Tenths by Whole Numbers
  7. Multiply Hundredths by Whole Numbers
  8. Solve Measures Problems Using Multiplying Decimal Fractions
  9. The Relationship Between Multiplying by 0.1 and Dividing by 10
  10. The Relationship Between Multiplying by 0.01 and Dividing by 100
  11. Multiply 1-Digit Numbers by Decimals
  12. Multiply 1-digit numbers by decimal fractions using written methods
  13. Predicting the Size of a Product
  14. Divide Decimal Fractions by 1-Digit Numbers
  15. Divide Decimal Fractions by 1-Digit Numbers Using Written Methods

Understand the concept of volume

  1. Explain What Volume Is in a Range of Contexts
  2. Describe the Units Used to Measure Volume
  3. Explain how to calculate the volume of a cuboid and a cube
  4. Explain how to calculate the volume of compound shapes
  5. Use Knowledge of Calculating Volume to Solve Problems in Different Contexts

Multiply 3 or more numbers (commutative and associative laws)

  1. Commutative and Associative Laws: Multiplying Three Numbers
  2. Apply Commutative and Associative Laws to Simplify Multiplications
  3. Explain the reasons for changing two-factor multiplication calculations to three-factor calculations
  4. Apply the Commutative and Associative Laws to Simplify Volume Calculations
  5. Apply the Commutative and Associative Laws to Simplify Problems

Understand and use the concept of factorisation (square and prime numbers)

  1. Explain What a Factor Is and Find Factors Using Arrays and Multiplication Facts
  2. Find All the Factors of a Number Systematically
  3. Square Numbers and Their Factors
  4. Prime Numbers and Composite Numbers
  5. Prime Factors: The Building Blocks of Every Number

Use common factors and multiples to solve calculations efficiently

  1. Common Factors: Finding What Numbers Share
  2. Common Multiples: When Times Tables Share the Same Number
  3. Use Knowledge of Properties of Number to Solve Problems
  4. Using Factor Pairs of 100 to Solve Calculations Efficiently
  5. Use the Commutative and Associative Laws to Simplify Calculations

Multiply a proper fraction by a whole number

  1. Repeated Addition of Unit Fractions and Multiplication
  2. Repeated Addition of Fractions and Multiplication
  3. Multiply a Proper Fraction by a Whole Number (Product Within One Whole)
  4. Multiply a proper fraction by a whole number where the product is greater than a whole
  5. Solve problems involving multiplying proper fractions by whole numbers

Multiply improper fractions and mixed numbers by a whole number

  1. Represent and Multiply an Improper Fraction by a Whole Number
  2. Multiply a Mixed Number by a Whole Number (Not Bridging a Whole)
  3. Multiply a Mixed Number by a Whole Number Bridging a Whole
  4. Solve Problems Involving Multiplication of Mixed Numbers by a Whole Number
  5. Solve Problems Involving Fractions and Mixed Numbers

Find unit and non-unit fractions of whole numbers exploring parts and wholes

  1. Find a Unit Fraction of a Quantity Using Representations
  2. Fractions of Quantities: The Multiplication Connection
  3. Dividing by a Whole Number and Multiplying by a Unit Fraction
  4. Multiplying a Whole Number by a Unit Fraction to Solve Problems
  5. Find a Non-Unit Fraction of a Quantity
  6. Multiply a Whole Number by a Proper Fraction
  7. Scaling Down or Repeated Addition? Two Ways to Multiply with Fractions
  8. Find the Whole When the Size of a Unit Fraction Is Known
  9. Find a Unit Fraction When the Size of a Non-Unit Fraction is Known
  10. Find the Whole When the Size of a Non-Unit Fraction Is Known

Comparing fractions using equivalence and decimals

  1. Use Representations to Describe and Compare Two Fractions
  2. Use Representations to Describe and Compare Fractions
  3. Fractions on Scales and Number Lines
  4. Use the Language of Equivalent Fractions Correctly
  5. Explain the relationship between numerators and denominators in equivalent fractions
  6. Use the Relationship Between Numerator and Denominator in Equivalent Fractions to Solve Problems
  7. Explain the Relationship Between Numerators and Denominators in Equivalent Fractions
  8. Explain the Relationship Within Families of Equivalent Fractions
  9. Simplifying Fractions Using the Numerator and Denominator Relationship
  10. Use Understanding of Equivalent Fractions to Solve Problems
  11. Explain and Represent How to Divide 1 into Different Numbers of Equal Parts
  12. Identify and Describe Patterns in the Number System
  13. Use knowledge of common equivalents to compare fractions and decimals
  14. Recall Common Fraction-Decimal Equivalents
  15. Solve Problems Using Fraction-Decimal Equivalents

Converting units

  1. Convert from Larger to Smaller Units of Measure
  2. Convert from Smaller to Larger Units of Measure
  3. Convert to and from fraction and decimal quantities of larger units
  4. Use Known Facts to Derive Common Conversions Over 1
  5. Use Known Facts to Carry Out Conversions That Correspond to 10 and 100 Parts
  6. Solve Problems Involving Different Units of Measure
  7. Metric and Imperial Units: Understanding Approximate Equivalence
  8. Convert Between Miles and Kilometres and Pounds and Euro
  9. Solve Problems Involving Converting Between Units of Time
  10. Solve Problems Involving Converting Units in Different Contexts

Angles: compare, name, estimate and measure angles

  1. Right Angles: Square Corners Everywhere
  2. Angles as a Measure of Turn
  3. Acute, Obtuse and Reflex Angles
  4. Use the Unit of Degrees as a Standard Unit to Measure Angles
  5. Describe Static Angles Using Degrees Compared to a Right Angle
  6. Describe Rotations Using Degrees Compared to a Right Angle
  7. Estimate Acute and Obtuse Angles Using Degrees
  8. Angles in a Full Turn: 360 Degrees and Problem Solving
  9. Angles at a Point: Why Every Full Turn is 360°
  10. Angles in Quadrilaterals
  11. Angles on a Straight Line: Solving Problems with 180°
  12. Angles in Triangles
  13. Measure the Size of Angles Accurately Using a Protractor
  14. Draw Angles Accurately Using a Protractor
  15. Reasoning About Angles in Polygons

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Common questions

What does Year 5 maths cover?
Year 5 maths runs to 185 lessons across a 36 week year, covering whole, equal, tenth, fraction, multiple, one tenth the size and more.
How many maths lessons are in Year 5?
185 lessons, sequenced in teaching order across the school year.
How old is a child in Year 5?
Children in Year 5 are 9 to 10 years old during the school year in England and Wales.