# Teaching for mastery in primary maths

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## Introduction to finding fractions of an amount

• Year group: Year 3
• Term: Spring
• Topic: Fractions
• Duration: 1 weeks
• Keystage: KS2
• Age Range: 7 to 8 yrs
• Unit can be taught out of sequence: N
• Week Range: 11

In this chapter, pupils start to understand the relationship between unit fractions as operators (ie, as fractions of something) and division by integers.

Pupils will recognise, find and write fractions of a discrete set of objects, in the form of unit fractions and non-unit fractions with a small denominator. They should use visual representations, such as the bar model, to help them understand the process they go through to find a simple fraction of a set of objects. This will help them in later chapters.

## Resources for this topic

### White Rose Maths

#### Fractions of an amount

Fluency, reasoning and problem solving on finding fractions of an amount.

#### Halves

Fluency, reasoning and problem solving on finding half of a shape and half of an amount.

#### Reasoning - Problem Solving - Money Problems (KS1/2) - March 3rd

Today's problems are ones that involve money. There are two problems for KS1 and two for KS2.

In KS1 problem students have to recognise the value of coins and use addition and subtraction to work our whether the correct change has been given. The second problem involves children finding a quarter of an amount.

At KS2 children potentially need to use all four operations and the problems can be solved using bar modelling.

Every day in March the White Rose Maths Hub is aiming to put out a question of the day.

Tweet us @WRMathsHub a picture of your children's answers for a chance to win a prize.

### Mathematics Mastery

#### Introduction to finding fractions of an amount

Mathematical discussion is a key element of the Mathematics Mastery programme.
Talk Tasks are a brilliant way of enabling pupils to develop their mathematical language, thinking, understanding and confidence.

This activity explores the concept of finding fractions of a given amount.
• Talk tasks are best completed in mixed attainment pairs, with pupils taking turns to listen and construct arguments
• Emphasis is on discussion rather than the solution, encouraging pupils to use key language and talk in full sentences
• Ask pupils to prove their answers in a variety of ways, using the CPA approach to support mathematical understanding and number sense

Like what you see?

Mathematics Mastery is a professional development programme for teachers with a mission to transform mathematics education in the UK.

This task is just a taster of the complete classroom resources we offer. We also provide in-depth development training, online CPD, specialist support and assessment tools.

We believe all elements of our programme are vital in creating lasting change – enabling every child to enjoy and succeed in mathematics.

Want to find out more? Check out our free resources and blogs or join an information session.

#### Introduction to finding fractions of an amount

Deepening pupils’ understanding of key mathematical ideas is a core element of the Mathematics Mastery programme.

Our Key Constructs highlight the essential mathematical concepts all pupils are expected to grasp within each year group, with accompanying guidance for assessing pupil progress.

Our Key Constructs are closely aligned to the National Curriculum’s objectives. We know these can be tricky to evidence, so we’ve included an example task for each concept, as well as ideas to support slower-graspers and depth tasks to challenge higher-attaining pupils.

• Pupils should work through the tasks independently
• Teachers should incorporate the CPA approach to support pupils’ learning
• Opportunities for depth and scaffolding are built into each task

Like what you see?

Mathematics Mastery is a professional development programme for teachers with a mission to transform mathematics education in the UK.

This task is just a taster of the complete classroom resources we offer. We also provide in-depth development training, online CPD, specialist support and assessment tools.

We believe all elements of our programme are vital in creating lasting change – enabling every child to enjoy and succeed in mathematics.

Want to find out more? Check out our free resources and blogs or join an information session.

### Resources shared by teachers

#### Fractions: Year 3 - Spring Term - White Rose Maths

This resource contains the first of two packs designed to support the delivery of the White Rose Maths Scheme Year 3 – Number: Fractions during week 10 of the Spring Term. The resource focuses on the following White Rose Maths 'small steps'

- Unit and Non-Unit Fractions
- Making the Whole
- Tenths
- Count in Tenths
- Tenths as Decimals
- Fractions of a Number Line
- Fractions of a set of objects (1-3)

The resource contains worksheets and activities (concrete, pictorial and abstract) linked to the above small steps with an emphasis on the mastery approach to learning advocated by the White Rose scheme.

For details of the second Year 3 Fractions pack (week 11) click on the link below:

White Rose Maths Scheme Year 3 Fractions Spring Term - Week 11 - Block 5

A consolidation pack for the Spring Term for Year 3 is also available. See below for details.

White Rose Maths Scheme Year 3 Fractions Spring Term - Week 10 - Block 5

This resource has been designed to consolidate the work undertaken in the White Rose Maths Scheme small steps Year 3 programme delivered in the Spring Term Weeks 1-11. It contains resources for the following blocks of work

Money

-Pounds and pence
-Converting pounds and pence
- Calculating change

Length and Perimeter

- Subtract lengths
- Measure length
- Equivalent lengths mm, cm and m
- Measure and calculate perimeter

Multiplication and Division

- Compare statements
- Related calculations
- Multiply and divide 2 digits by 1 digit

Statistics

- Pictograms
- Bar charts
- Tables

Fractions

- Equivalent fractions
- Compare Fractions
- Order Fractions
- Subtract Fractions

White Rose Maths Scheme Year 3 Money Spring Term - Week 4 - Block 2

#### Fractions: Year 3 - Spring Term - White Rose Maths

This resource contains the second of two packs designed to support the delivery of the White Rose Maths Scheme Year 3 – Number: Fractions during week 11 of the Spring Term.

The resource focuses on the following White Rose Maths small steps:

- Equivalent Fractions 1-3
- Comparing Fractions
- Ordering Fractions
- Subtracting Fractions

The resource contains more than 30 worksheets / activities (concrete, pictorial and abstract) linked to the above small steps with an emphasis on the mastery approach to learning advocated by the White Rose scheme. The resources use bar modelling and encourage pupils to develop their fluency, reasoning and problem-solving skills.

You may also be interested in:

White Rose Maths Scheme Year 3 Fractions Spring Term - Week 10 - Block 5

White Rose Maths Scheme Year 3 Money Spring Term - Week 4 - Block 2

White Rose Maths Scheme Year 3 Fractions Spring Term - Week 10 - Block 5

This resource has been designed to consolidate the work undertaken in the White Rose Maths Scheme small steps Year 3 programme delivered in the Spring Term Weeks 1-11. It contains resources for the following blocks of work

- MONEY: pounds and pence, converting pounds and pence, adding and subtracting money, calculating change
- LENGTH AND PERIMETER: add lengths, subtract lengths, measure length, equivalent lengths mm, cm and m, measure and calculate perimeter
- MULTIPLICATION AND DIVISION: multiplication and division, compare statements, related calculations, multiply and divide 2 digits by 1 digit
- STATISTICS: pictograms, bar charts, tables
- FRACTIONS: equivalent fractions, compare fractions, order fractions, add fractions, subtract Fractions

More Maths Resources

#### Unit Fraction of an Amount - Treasure Hunt

Treasure hunt in which students must find the fraction of an amount (unit fractions used only). Print out the slides, cut them out and stick them up around the classroom. Students start at any one and then have to find the answer to the question they start with, and answer the question on that card, etc.

#### Fractions of shapes and numbers (halves and quarters) Y2

Ppt to help to explain concept of finding half, quarter and three quarters of numbers by linking to fractions of shapes. Y2

#### Writing fractions of amounts (concrete)- fluency, reasoning and problem solving

A worksheet split into three steps to deepen children's understanding through varied questions. Children have to answer questions about fractions of amounts in different ways to start to show they have mastered the concept. Children could cut out each section and stick into their books, answering underneath, to show their steps in learning clearly.