Open or download the White Rose matching chart for the full list of Numicon Essentials lessons.


Year:

Term:

Autumn term

NUMBER

Place value (within 10)

NUMBER

Addition and subtraction (within 10)

GEOMETRY

Shape

Consolidate

Spring term

NUMBER

Place value (within 20)

NUMBER

Addition and subtraction (within 20)

NUMBER

Place value (within 50)

MEASUREMENT

Length and height

MEASUREMENT

Mass and volume

Summer term

NUMBER

Multiplication and division

NUMBER

Fractions

GEOMETRY

Position and direction

NUMBER

Place value (within 100)

MEASUREMENT

Money

MEASUREMENT

Time

Consolidate

Title

Year 1, Autumn term: Number, Place value (within 10)

Count up to 10 objects Y1 (P2) Place value

In this lesson, children will explore how they can count objects they cannot move. They will count out loud, practising one-to-one correspondence and use Numicon pieces to check their answers.

Open
Count up to 10 objects Y1 (P2) Place value

1 more Y1 (P2) Place value

In this lesson, children will explore the concept of '1 more'. They will explore that 1 more is the number after the one they are looking at.

Open
1 more Y1 (P2) Place value

1 less Y1 (P2) Place value

In this lesson, children will explore the concept of '1 less'. They will discover that 1 less is the number before the one they are looking at.

Open
1 less Y1 (P2) Place value

Less than, greater than and equal to Y1 (P2) Place value

In this lesson, children explore greater than, less than and equal to using language and symbols. Children build understanding by using Numicon pieces in a pan balance to represent the comparisons visually.

Open
Less than, greater than and equal to Y1 (P2) Place value

Odd and even numbers Y1 (P2) Place value

In this lesson, children explore numbers within 10 and identify whether they are odd or even using Numicon pieces and pegs.

Open
Odd and even numbers Y1 (P2) Place value

Year 1, Autumn term: Number, Addition and subtraction (within 10)

Find all the adding facts for numbers less than 10 Y1 (P2) Addition and subtraction

In this lesson, children explore how to use a systematic approach to find all the possible adding facts for a given number up to 9. Children use Numicon pieces to support their understanding of adding, to see the pattern, and to support them in working systematically.

Open
Find all the adding facts for numbers less than 10 Y1 (P2) Addition and subtraction

Find adding facts for 10 Y1 (P2) Addition and subtraction

In this lesson, children explore all the adding facts for 10. They use Numicon pieces to find all the possible pairs of numbers that add to make a total of 10 and apply their knowledge of being systematic from the previous lesson.

Open
Find adding facts for 10 Y1 (P2) Addition and subtraction

Create adding sentences for 10 Y1 (P2) Addition and subtraction

In this lesson, children practise finding adding facts for 10. They create adding sentences using a variety of words for ‘add’ and ‘equals’. The focus on the use of words is designed to consolidate children's understanding of the meaning of adding sentences and that adding is commutative.

Open
Create adding sentences for 10 Y1 (P2) Addition and subtraction

Add two parts to find the whole Y1 (P2) Addition and subtraction

In this lesson, children explore addition as combining two sets (aggregation) to find the total. They move away from counting in ones to work out how many. They explore the part-whole relationship within addition. They represent calculations using addition and equals symbols.

Open
Add two parts to find the whole Y1 (P2) Addition and subtraction

Add more to find the whole Y1 (P2) Addition and subtraction

In this lesson, children develop their understanding of addition by exploring the structure of 'augmentation'. They increase one quantity by a given amount, work within 10, and use Numicon pieces and number lines to find the total by 'counting on'. They are supported by the 'first, then, now' structure to build their understanding of augmentation.

Open
Add more to find the whole Y1 (P2) Addition and subtraction

Subtract to find a part Y1 (P2) Addition and subtraction

In this lesson, children explore subtracting problems involving the partitioning structure. They use Numicon pieces as well as part-whole models to support their understanding, linking to adding facts. They are introduced to the subtracting symbol to record calculations.

Open
Subtract to find a part Y1 (P2) Addition and subtraction

Fact families Y1 (P2) Addition and subtraction

In this lesson, children find adding and subtracting sentences within a fact family. They use Numicon pieces and the part-whole relationship to explore the fact families. Children record related adding and subtracting sentences.

Open
Fact families Y1 (P2) Addition and subtraction

Subtract by counting back in ones on a number line Y1 (P2) Addition and subtraction

In this lesson, children explore subtracting by counting back in ones on a number line. Explicit links will be made to children's prior learning about subtracting by taking away and finding how many are left.

Open
Subtract by counting back in ones on a number line Y1 (P2) Addition and subtraction

Year 1, Autumn term: Geometry, Shape

Year 1, Autumn term: Consolidate

Year 1, Spring term: Number, Place value (within 20)

Year 1, Spring term: Number, Addition and subtraction (within 20)

Find adding facts for 20 Y1 (P2) Addition and subtraction

In this lesson, children make connections between finding adding facts for 10 and finding adding facts for 20. They use Numicon pieces to support them to see how these facts connect and they will record them systematically.

Open
Find adding facts for 20 Y1 (P2) Addition and subtraction

Doubles Y1 (P2) Addition and subtraction

ln this lesson, children explore doubles by adding two equal quantities. They use matching Numicon pieces to show doubles and to support their counting and calculating.

Open
Doubles Y1 (P2) Addition and subtraction

Find the difference Y1 (P2) Addition and subtraction

In this lesson, children learn about finding the difference as a form of subtracting. They use Numicon pieces to help them understand how to find the difference between two numbers within 10.

Open
Find the difference Y1 (P2) Addition and subtraction

Year 1, Spring term: Number, Place value (within 50)

Year 1, Spring term: Measurement, Length and height

Year 1, Spring term: Measurement, Mass and volume

Year 1, Summer term: Number, Multiplication and division

Year 1, Summer term: Number, Fractions

Explore parts and wholes Y1 (P2) Fractions

In this lesson, children will split one whole into parts in different ways to develop their understanding of fair sharing and equal and unequal parts.

Open
Explore parts and wholes Y1 (P2) Fractions

Recognise and find half of a quantity Y1 (P2) Fractions

In this lesson, children will identify two equal parts of the whole as halves and find half of different quantities.

Open
Recognise and find half of a quantity Y1 (P2) Fractions

Recognise and find a quarter of a quantity Y1 (P2) Fractions

In this lesson, children will identify 4 equal parts of the whole as quarters and find quarters of different quantities.

Open
Recognise and find a quarter of a quantity Y1 (P2) Fractions

Year 1, Summer term: Geometry, Position and direction

Year 1, Summer term: Number, Place value (within 100)

Year 1, Summer term: Measurement, Money

Year 1, Summer term: Measurement, Time

Year 1, Summer term: Consolidate

Year 2, Autumn term: Number, Place value

Count up to 100 objects by making groups of 10 Y2 (P3) Place value

In this lesson, children practise counting objects by grouping in tens. They use a variety of manipulatives to group objects into tens and 'read' objects that have already been grouped. ($/€ versions available)

Open
Count up to 100 objects by making groups of 10 Y2 (P3) Place value

Count in tens from any number Y2 (P3) Place value

In this lesson, children will learn how to count forward and backward in steps of 10 from any number. They will spot patterns within numbers when counting.

Open
Count in tens from any number Y2 (P3) Place value

Year 2, Autumn term: Number, Addition and subtraction

Find adding facts for 100 (tens) Y2 (P3) Addition and subtraction

In this lesson, children build on their knowledge of adding facts for 10 to identify adding facts for 100. They use Numicon 10-pieces and a Numicon 10s number line to help them identify the missing number to make a total of 100, by counting on in tens from the given multiple of 10. ($/€ version available)

Open
Find adding facts for 100 (tens) Y2 (P3) Addition and subtraction

Add and subtract ones without crossing a ten Y2 (P3) Addition and subtraction

In this lesson, children use Numicon pieces to add and subtract ones to and from 2-digit numbers without crossing a multiple of 10. They partition the 2-digit number into tens and ones to reinforce the place value. Children are encouraged to use and apply known number facts. ($/€ version available)

Open
Add and subtract ones without crossing a ten Y2 (P3) Addition and subtraction

Add two 1-digit numbers by bridging across 10 Y2 (P3) Addition and subtraction

In this lesson, children use their knowledge of number facts for 10 to help with adding when crossing 10. They partition the second addend in order to add to 10 first, and then add on the remaining number. They are supported by the use of Numicon pieces.

Open
Add two 1-digit numbers by bridging across 10 Y2 (P3) Addition and subtraction

Add by bridging to and across the next ten Y2 (P3) Addition and subtraction

In this lesson, children add to reach the next ten using Numicon pieces and number facts for 10. They then build on this method to bridge across a ten, partitioning the number they are adding in order to reach the next ten, and then adding the remaining part.

Open
Add by bridging to and across the next ten Y2 (P3) Addition and subtraction

Subtract a 1-digit number by bridging across 10 Y2 (P3) Addition and subtraction

In this lesson, children subtract a 1-digit number from a teens number, bridging across 10. They use Numicon pieces to first jump back to 10 by partitioning the 1-digit number and then subtract the remaining amount.

Open
Subtract a 1-digit number by bridging across 10 Y2 (P3) Addition and subtraction

Subtract a 1-digit number from a 2-digit number by bridging across a ten Y2 (P3) Addition and subtraction

In this lesson, children subtract a 1-digit number from a 2-digit number and cross a tens boundary. They use Numicon pieces to partition a 1-digit subtrahend in order to subtract to the previous multiple of 10 first, and then subtract the remainder. ($/€ version available)

Open
Subtract a 1-digit number from a 2-digit number by bridging across a ten Y2 (P3) Addition and subtraction

10 more, 10 less Y2 (P3) Addition and subtraction

In this lesson, children build on their knowledge of counting in tens from different numbers and focus on finding 10 more and 10 less than any given 2-digit number. Children use number rods and a track to help them understand that only the tens value changes when finding 10 more and 10 less, and the ones value stays the same.

Open
10 more, 10 less Y2 (P3) Addition and subtraction

Year 2, Autumn term: Geometry, Shape

Year 2, Spring term: Measurement, Money

Year 2, Spring term: Number, Multiplication and division

Write and understand multiplying sentences Y2 (P3) Multiplication and division

In this lesson, children focus on learning the language associated with multiplying. They make links between concrete and pictorial models of multiplying and the language used to describe them.

Open
Write and understand multiplying sentences Y2 (P3) Multiplication and division

Divide by grouping Y2 (P3) Multiplication and division

In this lesson, children learn how to divide by grouping and use the associated language. They make links between concrete and pictorial models of dividing and the language used to describe them.

Open
Divide by grouping Y2 (P3) Multiplication and division

Divide by sharing Y2 (P3) Multiplication and division

In this lesson, children learn how to divide by sharing. They make links between concrete and pictorial models of dividing and the language used to describe them. They explore the relationship between multiplying and dividing by writing multiplying sentences to match sharing structures.

Open
Divide by sharing Y2 (P3) Multiplication and division

Understand the relationship between doubling and halving Y2 (P3) Multiplication and division

In this lesson, children are introduced to doubling and halving numbers. They use images and Numicon pieces to identify when a number has been doubled or halved. Children make connections between doubling a number as multiplying by 2 and halving a number as dividing by 2 (sharing into 2 equal groups). ($/€ version available)

Open
Understand the relationship between doubling and halving Y2 (P3) Multiplication and division

Odd and even numbers Y2 (P3) Multiplication and division

In this lesson, children divide by 2, using both sharing and grouping to identify whether a number is odd or even. They make links between their knowledge of halving and multiplying facts for the 2 times table to explain their understanding of odd and even numbers. ($/€ version available)

Open
Odd and even numbers Y2 (P3) Multiplication and division

Year 2, Spring term: Measurement, Length and height

Year 2, Spring term: Measurement, Mass, capacity and temperature

Year 2, Summer term: Number, Fractions

Using our understanding of wholes and halves to find quarters Y2 (P3) Fractions

In this lesson, children recap the whole, equal and unequal groups and part-whole models.

Open
Using our understanding of wholes and halves to find quarters Y2 (P3) Fractions

Recognise and find three-quarters of a quantity Y2 (P3) Fractions

In this lesson, children will find and make one-quarter and three-quarters in several contexts.

Open
Recognise and find three-quarters of a quantity Y2 (P3) Fractions

Find a third of a quantity Y2 (P3) Fractions

In this lesson, children will explore finding one-third of various quantities that are multiples of 3.

Open
Find a third of a quantity Y2 (P3) Fractions

Unit and non-unit fractions Y2 (P3) Fractions

In this lesson, children will use different models to represent fractions and identify the size of the numerator and denominator. They will look at the characteristics of unit fractions and non-unit fractions.

Open
Unit and non-unit fractions Y2 (P3) Fractions

Count in fractions up to one whole Y2 (P3) Fractions

In this lesson, children will practise counting in a given fraction up to 1. They will count forwards and backwards where the numerator increases or decreases by one part each time.

Open
Count in fractions up to one whole Y2 (P3) Fractions

Year 2, Summer term: Measurement, Time

Year 2, Summer term: Statistics

Year 2, Summer term: Geometry, Position and direction

Year 2, Summer term: Consolidate

Year 3, Autumn term: Number, Place value

Year 3, Autumn term: Number, Addition and subtraction

Apply number facts up to 10 Y3 (P4) Addition and subtraction

In this lesson, children use number facts to 10 to find number facts up to 100. They look at the relationship between the related number facts using number rods. They apply their understanding by solving problems involving adding and subtracting multiples of 10.

Open
Apply number facts up to 10 Y3 (P4) Addition and subtraction

Year 3, Autumn term: Number, Multiplication and division A

Use arrays Y3 (P4) Multiplication and division

In this lesson, children develop their understanding of equal grouping to multiply through repeated adding. Children will practise constructing arrays practically and write multiplying and repeated adding sentences to match their arrays.

Open
Use arrays Y3 (P4) Multiplication and division

Divide by sharing and grouping Y3 (P4) Multiplication and division

In this lesson, children deepen their understanding of dividing as both sharing and grouping. They identify whether problems involve sharing or grouping. Their understanding is supported by concrete manipulatives such as pegs and number rods and pictorial representations such as bar models.

Open
Divide by sharing and grouping Y3 (P4) Multiplication and division

Year 3, Spring term: Number, Multiplication and division B

Multiply a 2-digit number by a 1-digit number with no exchanging Y3 (P4) Multiplication and division

In this lesson, children multiply 2-digit numbers by 1-digit numbers, focusing on calculations that do not require exchange. They partition the 2-digit number into tens and ones and multiply both parts by the 1-digit number before combining the partial products to find the total product. ($/€ version available)

Open
Multiply a 2-digit number by a 1-digit number with no exchanging Y3 (P4) Multiplication and division

Multiply a 2-digit number by a 1-digit number with exchanging Y3 (P4) Multiplication and division

In this lesson, children multiply 2-digit numbers by 1-digit numbers, focusing on exchanging. They partition the 2-digit number into tens and ones and multiply both parts by the 1-digit number. They exchange between the ones and tens columns, before combining to find the total product. ($/€ version available)

Open
Multiply a 2-digit number by a 1-digit number with exchanging Y3 (P4) Multiplication and division

Divide a 2-digit number by a 1-digit number with no exchanging Y3 (P4) Multiplication and division

In this lesson, children learn to solve division calculations using Numicon pieces and part-whole models. They use the sharing method to find out what one equal part of the number is. This will help them to link multiplication and division.

Open
Divide a 2-digit number by a 1-digit number with no exchanging Y3 (P4) Multiplication and division

Divide a 2-digit number by a 1-digit number with remainders Y3 (P4) Multiplication and division

In this lesson, children are introduced to remainders. They will explore this concretely using number rods and a number rod track, and then represent dividing as repeated subtracting on a number line. ($/€ version available)

Year 3, Spring term: Measurement, Length and perimeter

Year 3, Spring term: Number, Fractions A

Compare and order unit fractions Y3 (P4) Fractions

In this lesson, children will compare unit fractions in various contexts using pictorial fraction walls and fraction walls made from paper strips and from number rods.

Open
Compare and order unit fractions Y3 (P4) Fractions

Understand the whole (using objects) Y3 (P4) Fractions

In this lesson, children will make one whole and experience one whole as a group or set that is full or complete. They will express fractions practically and in written notation.

Open
Understand the whole (using objects) Y3 (P4) Fractions

Compare and order non-unit fractions Y3 (P4) Fractions

In this lesson, children will build on their knowledge of comparing and ordering unit fractions to begin comparing and ordering non-unit fractions.

Open
Compare and order non-unit fractions Y3 (P4) Fractions

Identify and represent equivalent fractions using bar models Y3 (P4) Fractions

In this lesson, children will represent equivalent fractions using bar models. They will explore the relationships between wholes and their parts, comparing parts and finding equivalences.

Open
Identify and represent equivalent fractions using bar models Y3 (P4) Fractions

Year 3, Spring term: Measurement, Mass and capacity

Year 3, Summer term: Number, Fractions B

Add fractions Y3 (P4) Fractions

In this lesson, children will add two or more fractions with the same denominator. They will express fractions practically and in written notation.

Open
Add fractions Y3 (P4) Fractions

Subtract fractions Y3 (P4) Fractions

In this lesson, children will subtract two or more fractions with the same denominator. They will express fractions practically and in written notation.

Open
Subtract fractions Y3 (P4) Fractions

Find unit fractions of a set of objects Y3 (P4) Fractions

In this lesson, children will learn about fractions as operators as they begin to find unit fractions of a set of objects. ($/€ version available)

Open
Find unit fractions of a set of objects Y3 (P4) Fractions

Find non-unit fractions of a set of objects Y3 (P4) Fractions

In this lesson, children use pegs, Numicon pieces and arrays to find non-unit fractions of a set of objects. They will understand the connection between fractions and division as sharing, when finding a unit fraction. ($/€ version available)

Open
Find non-unit fractions of a set of objects Y3 (P4) Fractions

Reason with fractions of an amount Y3 (P4) Fractions

In this lesson, children build on their knowledge of fractions. They explore a range of contexts, identifying fractions of amounts and solving multi-step calculations. ($/€ version available)

Year 3, Summer term: Measurement, Money

Year 3, Summer term: Measurement, Time

Year 3, Summer term: Geometry, Shape

Year 3, Summer term: Statistics

Year 3, Summer term: Consolidate

Year 4, Autumn term: Number, Place value

Round to the nearest 10 Y4 (P5) Place value

In this lesson, children will be introduced to rounding numbers to the nearest 10. Children will round 2-digit numbers to the nearest 10 before rounding 3-digit numbers to the nearest 10.

Open
Round to the nearest 10 Y4 (P5) Place value

Year 4, Autumn term: Number, Addition and subtraction

Year 4, Autumn term: Measurement, Area

Year 4, Autumn term: Number, Multiplication and division A

Year 4, Autumn term: Consolidate

Year 4, Spring term: Number, Multiplication and division B

Factor pairs Y4 (P5) Multiplication and division

In this lesson, children develop their understanding of multiplying and dividing by exploring factor pairs. They build on their knowledge of using arrays to draw out multiplying facts. They work practically to develop systematic approaches to finding factor pairs of 2-digit numbers.

Open
Factor pairs Y4 (P5) Multiplication and division

Year 4, Spring term: Measurement, Length and perimeter

Year 4, Spring term: Number, Fractions

Count beyond 1 (mixed numbers) Y4 (P5) Fractions

In this lesson, children will count forward in steps of a unit fraction, beyond 1. They will also count backward from beyond 1. When counting beyond 1, children will use mixed numbers only, as improper fractions have not yet been introduced.

Open
Count beyond 1 (mixed numbers) Y4 (P5) Fractions

Partition a mixed number Y4 (P5) Fractions

In this lesson, children will partition mixed numbers using Numicon pieces and pegs. This will build confidence to partition a mixed number into wholes and parts in different ways.

Open
Partition a mixed number Y4 (P5) Fractions

Compare and order mixed numbers Y4 (P5) Fractions

In this lesson, children will compare mixed numbers where the whole number is different, recognising that the greater the whole number, the greater the mixed number.

Open
Compare and order mixed numbers Y4 (P5) Fractions

Improper fractions Y4 (P5) Fractions

In this lesson, children are introduced to the term 'improper fraction'. They start with understanding how many parts make a whole. They move on to recognising a fraction that is more than a whole and recording it as an improper fraction. Connections are made to mixed numbers where appropriate.

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Improper fractions Y4 (P5) Fractions

Convert mixed numbers to improper fractions and vice versa Y4 (P5) Fractions

In this lesson, children use manipulatives to convert mixed numbers to improper fractions and vice versa. They will begin to make connections with dividing facts and use these when converting.

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Convert mixed numbers to improper fractions and vice versa Y4 (P5) Fractions

Identify equivalent fraction families Y4 (P5) Fractions

In this lesson, children will explore the meaning of equivalence. They will use real-life objects to explore equivalent fractions, and use number rods to find families of equivalent fractions.

Open
Identify equivalent fraction families Y4 (P5) Fractions

Add two or more fractions Y4 (P5) Fractions

In this lesson, children will build on and review their learning of adding two fractions with the same denominator. They will practise adding two or more proper fractions, sometimes with a sum greater than one whole.

Open
Add two or more fractions Y4 (P5) Fractions

Add fractions and mixed numbers Y4 (P5) Fractions

In this lesson, children will build on their knowledge of adding proper fractions with the same denominator and bring in their understanding of mixed numbers.

Open
Add fractions and mixed numbers Y4 (P5) Fractions

Subtract fractions from mixed numbers Y4 (P5) Fractions

In this lesson, children build their understanding and experience of adding fractions and mixed numbers, and start to subtract fractions from mixed numbers.

Open
Subtract fractions from mixed numbers Y4 (P5) Fractions

Year 4, Spring term: Number, Decimals A

Understand tenths as decimals Y4 (P5) Decimals

In this lesson, children are introduced to tenths as decimals. They use Numicon apparatus and number lines to explore the connection between wholes and parts and how dividing a whole into 10 parts means each part represents one-tenth, or 0.1.

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Understand tenths as decimals Y4 (P5) Decimals

Understand hundredths as decimals Y4 (P5) Decimals

In this lesson, children will focus on how a whole can be divided into hundredths and represent this as a decimal. They will look at number lines, place value frames and the link between fraction and decimal equivalents.

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Understand hundredths as decimals Y4 (P5) Decimals

Year 4, Summer term: Number, Decimals B

Combine tenths to make a whole Y4 (P5) Decimals

In this lesson, children will combine decimal numbers to find a total of 1 in the context of distances. Children will make links between number facts for 10 and number facts for 1.

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Combine tenths to make a whole Y4 (P5) Decimals

Combine hundredths to make a whole Y4 (P5) Decimals

In this lesson, children will combine hundredths as decimals in order to make a total of 1, using the context of money. ($/€ version available)

Partition numbers with up to two decimal places Y4 (P5) Decimals

In this lesson, children will partition decimal numbers with up to two decimal places. They will use the context of money to support their understanding of tenths and hundredths when partitioning decimal numbers. ($/€ version available)

Year 4, Summer term: Measurement, Money

Year 4, Summer term: Measurement, Time

Year 4, Summer term: Consolidate

Year 4, Summer term: Geometry, Shape

Year 4, Summer term: Statistics

Year 4, Summer term: Geometry, Position and direction

Year 5, Autumn term: Number, Place value

Year 5, Autumn term: Number, Addition and subtraction

Year 5, Autumn term: Number, Multiplication and division A

Factors Y5 (P6) Multiplication and division

In this lesson, children build on their knowledge of factor pairs from Year 4/P5 and apply this to numbers of increasing size. They will apply their knowledge of factors of a given number to other related numbers and use their understanding of multiplying and dividing to reason whether the same factors still apply.

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Factors Y5 (P6) Multiplication and division

Prime numbers Y5 (P6) Multiplication and division

In this lesson, children build on their knowledge of factors and factor pairs to investigate prime numbers. They work practically to investigate whole numbers up to 19 and decide whether they are prime or composite numbers. Children rehearse and generalise what makes a prime number.

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Prime numbers Y5 (P6) Multiplication and division

Square numbers Y5 (P6) Multiplication and division

In this lesson, children build on their knowledge of squares and area to explore the concept of square numbers. They explore how squares can be made and whether given numbers can or cannot form a square, leading to the understanding that we square a number by multiplying it by itself. Children practise with numbers up to 10 × 10.

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Square numbers Y5 (P6) Multiplication and division

Cube numbers Y5 (P6) Multiplication and division

In this lesson, children are introduced to cube numbers. They start by building cube numbers using interlocking cubes. They move on to finding cube numbers by multiplying an integer by itself 2 times and linking that with the cubed symbol.

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Cube numbers Y5 (P6) Multiplication and division

Year 5, Autumn term: Number, Fractions A

Find equivalent fractions for a given unit fraction Y5 (P6) Fractions

In this lesson, children build their understanding that unit fractions can be expressed in other forms that have an equal value. They will use various representations, including shapes, number rods, pictorial fraction walls and fractional notation.

Open
Find equivalent fractions for a given unit fraction Y5 (P6) Fractions

Find equivalent fractions for a given non-unit fraction Y5 (P6) Fractions

In this lesson, children use number rods to explore how to find equivalent fractions for a non-unit fraction. They explore the relationship between the numerators of equivalent fractions and between the denominators of equivalent fractions. They begin to generalise about equivalent fractions.

Open
Find equivalent fractions for a given non-unit fraction Y5 (P6) Fractions

Order fractions less than 1 Y5 (P6) Fractions

In this lesson, children order fractions where the denominators are all multiples/factors of each other. They build equivalent fractions with a common denominator and practise finding equivalent fractions by multiplying the numerator and denominator by the same amount.

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Order fractions less than 1 Y5 (P6) Fractions

Year 5, Spring term: Number, Multiplication and division B

Year 5, Spring term: Number, Fractions B

Multiply a unit fraction by an integer Y5 (P6) Fractions

In this lesson, children will add fractions and explore multiplying unit fractions by integers. They will use repeated addition to multiply a unit fraction by a given whole number. ($/€ version available)

Open
Multiply a unit fraction by an integer Y5 (P6) Fractions

Multiply a non-unit fraction by an integer Y5 (P6) Fractions

In this lesson, children build knowledge about multiplying a unit fraction by an integer. The link between repeated adding and multiplying is emphasised. Children convert improper fractions to mixed numbers in a problem-solving context.

Open
Multiply a non-unit fraction by an integer Y5 (P6) Fractions

Multiply a mixed number by an integer Y5 (P6) Fractions

In this lesson, children build on their prior learning about multiplying unit and non-unit fractions by integers, and apply it to multiplying mixed numbers by integers, with a focus on repeated adding.

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Multiply a mixed number by an integer Y5 (P6) Fractions

Year 5, Spring term: Number, Decimals and percentages

Understand percentages Y5 (P6) Percentages

In this lesson, children will find sets of two or three percentages that total 100%. They will understand that all the parts that make up the whole must total 100%. ($/€ version available)

Open
Understand percentages Y5 (P6) Percentages

Equivalent fractions, decimals and percentages Y5 (P6) Fractions, decimals and percentages

In this lesson, children find percentage, fraction and decimal equivalents of halves, quarters, fifths and tenths.

Open
Equivalent fractions, decimals and percentages Y5 (P6) Fractions, decimals and percentages

Year 5, Spring term: Measurement, Perimeter and area

Year 5, Spring term: Statistics

Year 5, Summer term: Geometry, Shape

Year 5, Summer term: Geometry, Position and direction

Year 5, Summer term: Number, Decimals

Add and subtract 1-place decimals by bridging across 1 Y5 (P6) Decimals

In this lesson, children focus on adding and subtracting decimal numbers with 1 decimal place that cross the whole. They will make use of the Numicon 10s number line and make links between their knowledge of number facts for 10 and 1.

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Add and subtract 1-place decimals by bridging across 1 Y5 (P6) Decimals

Year 5, Summer term: Number, Negative numbers

Understand negative numbers Y5 (P6) Place value

In this lesson, children are introduced to negative numbers. They explore them through real-life contexts, including diving and temperature. Vertical representations are used to develop understanding of the concept.

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Understand negative numbers Y5 (P6) Place value

Count through zero in 1s Y5 (P6) Place value

In this lesson, children develop fluency with negative numbers and counting through zero in 1s. They work with horizontal number lines with Numicon pieces. This supports children to identify positive and negative numbers on a number line, with a visual reminder.

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Count through zero in 1s Y5 (P6) Place value

Count through zero in multiples Y5 (P6) Place value

In this lesson, children count forward and backward through zero, in multiples of 2, 3, 4, 5, 6, 7, 8 and 10. Children start with sequences that include zero to get a sense of the reflective pattern. They progress to sequences that do not include zero.

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Count through zero in multiples Y5 (P6) Place value

Compare and order negative numbers Y5 (P6) Place value

In this lesson, children practise ordering and comparing negative and positive integers, including the use of inequality signs. Number rods are used as the key representation, before moving on to horizontal number lines.

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Compare and order negative numbers Y5 (P6) Place value

Find the difference between positive and negative numbers Y5 (P6) Place value

In this lesson, children count back in jumps of 1 before moving onto seeing the difference as two jumps between the two numbers. Number rods are used to represent a horizontal number line. They move onto using a horizontal number line without number rods.

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Find the difference between positive and negative numbers Y5 (P6) Place value

Year 5, Summer term: Measurement, Converting units

Year 5, Summer term: Measurement, Volume

Year 6, Autumn term: Number, Place value

Year 6, Autumn term: Number, Addition, subtraction, multiplication and division

Common factors Y6 (P7) Addition and subtraction

In this lesson, children build on previous learning about factors and common factors. They explore real-life and concrete examples of when they would need to find factors and common factors. They develop efficient methods for finding and recording factors and common factors.

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Common factors Y6 (P7) Addition and subtraction

Square and cube numbers Y6 (P7) Addition and subtraction

In this lesson, children explore building square and cube numbers, using number rods. They write the given number sentences for each of the numbers that they make. They move on to finding factors of square and cube numbers, using number rods.

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Square and cube numbers Y6 (P7) Addition and subtraction

Year 6, Autumn term: Number, Fractions A

Use common factors to simplify fractions Y6 (P7) Fractions

In this lesson, children develop their understanding of equivalent fractions. They express fractions in their simplest forms by finding the highest common factor of the numerator and denominator.

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Use common factors to simplify fractions Y6 (P7) Fractions

Year 6, Autumn term: Number, Fractions B

Multiply pairs of fractions Y6 (P7) Fractions

In this lesson, children will build on their knowledge of multiplying fractions by integers to explore multiplying a proper fraction by another proper fraction.

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Multiply pairs of fractions Y6 (P7) Fractions

Divide a fraction by a whole number Y6 (P7) Fractions

In this lesson, children will be introduced to dividing fractions by a whole number. They will explore this practically with models of real-life scenarios in the form of arrays.

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Divide a fraction by a whole number Y6 (P7) Fractions

Year 6, Autumn term: Measurement, Converting units

Year 6, Spring term: Number, Ratio

Introduction to ratio Y6 (P7) Ratio and proportion

In this lesson, children are introduced to the idea of ratio through the multiplicative relationship between two amounts. They make simple comparisons, such as: 'For every 2 blue counters, there are 3 red counters'. Relationships will only be expressed in words and the ratio symbol will be introduced in the next step.

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Introduction to ratio Y6 (P7) Ratio and proportion

Understand ratio and fractions Y6 (P7) Ratio and proportion

In this lesson, children explore how to write a ratio, using the ratio symbol. Their understanding of ratio will be supported by the use of Numicon pieces and pegs. They will look at the relationship between fractions and ratios, converting between the two.

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Understand ratio and fractions Y6 (P7) Ratio and proportion

Simplify ratios Y6 (P7) Ratio and proportion

In this lesson, children will learn to identify equivalent ratios. They will then practise how to simplify a ratio by using number rods to find common factors.

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Simplify ratios Y6 (P7) Ratio and proportion

Ratio problems Y6 (P7) Ratio and proportion

In this lesson, children will learn how to solve ratio word problems using number rods. This includes finding missing parts of ratios. Children will then move on to learn to identify which method to use depending on the question.

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Ratio problems Y6 (P7) Ratio and proportion

Make and enlarge models using ratio Y6 (P7) Ratio and proportion

In this lesson, children build on prior learning about ratio and scale factors. They explore and build models using interlocking cubes in three different colours, and identify the ratio of colours for each model.

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Make and enlarge models using ratio Y6 (P7) Ratio and proportion

Introduction to proportion Y6 (P7) Ratio and proportion

In this lesson, children will be introduced to proportion. Children will build on prior learning about ratio and will continue to use multiplication and division to scale up or down. 

Year 6, Spring term: Number, Algebra

1-step and 2-step function machines Y6 (P7) Algebra

In this lesson, children will be exposed to algebra for the first time. They will be introduced to new words such as 'input', 'output' and 'function'. ($/€ version available)

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1-step and 2-step function machines Y6 (P7) Algebra

Form expressions Y6 (P7) Algebra

In this lesson, children will be introduced to replacing numbers with letters. They will revisit function machines and replace a number with a letter.

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Form expressions Y6 (P7) Algebra

Substitution Y6 (P7) Algebra

In this lesson, children will find values of expressions by substituting numbers in place of the letters. Children begin to understand that the same expression can have different values. ($/€ version available)

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Substitution Y6 (P7) Algebra

Form equations Y6 (P7) Algebra

In this lesson, children will look at the differences between algebraic expressions and algebraic equations.

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Form equations Y6 (P7) Algebra

Solve 2-step equations Y6 (P7) Algebra

In this lesson, children will use the inverse operation to solve equations, supported by number rods. Children will use an abstract method alongside the visual representation to help build understanding.

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Solve 2-step equations Y6 (P7) Algebra

Find pairs of values Y6 (P7) Algebra

In this lesson, children will explore equations with two unknown values. They will recognise that there can be more than one possible solution. ($/€ version available)

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Find pairs of values Y6 (P7) Algebra

Year 6, Spring term: Number, Decimals

Year 6, Spring term: Number, Fractions, decimals and percentages

Convert fractions to percentages Y6 (P7) Percentages

In this lesson, children convert fractions into percentages to compare scores recorded as fractions with different denominators. Their understanding is supported by representing the values using Numicon pieces and pegs on a Numicon decimal baseboard.

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Convert fractions to percentages Y6 (P7) Percentages

Find a percentage of an amount in one step Y6 (P7) Percentages

In this lesson, children are introduced to finding percentages of amounts using number rods and moving on to bar models. ($/€ version available)

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Find a percentage of an amount in one step Y6 (P7) Percentages

Year 6, Spring term: Measurement, Area, perimeter and volume

Year 6, Spring term: Statistics

Year 6, Summer term: Geometry, Shape

Year 6, Summer term: Geometry, Position and direction

Year 6, Summer term: Themed projects, consolidation and problem solving