# Teaching for mastery in primary maths

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## Introduction to fractions

• Year group: Year 2
• Term: Spring
• Topic: Fractions
• Duration: 3 weeks
• Keystage: KS1
• Age Range: 6 to 7 yrs
• Unit can be taught out of sequence: N
• Week Range: 8 - 10

In this chapter, pupils begin to learn about how fractions can be numbers in their own right and how they can also be operators.

Fractions as numbers
Pupils recognise the equivalence of 2⁄4 and 1⁄2. They count in fractions up to 10, starting from any number (eg, 11⁄4, 12⁄4 (or 11⁄2), 13⁄4, 2) and, as such, can say where they are positioned on a number line. This reinforces the concept of fractions as numbers and that they can add up to more than 1.

Fractions as operators
Pupils use 1⁄3, 1⁄4, 2⁄4 and 3⁄4 to describe fractions of discrete and continuous quantities and write simple fractions (eg, 1⁄2 of 6 = 3). They connect unit fractions to equal sharing and grouping, to numbers when they can be calculated and to measures when finding fractions of lengths, quantities, sets of objects or shapes.

They meet 3⁄4 as the first example of a non-unit fraction. Pupils may also become familiar with 2⁄3, as well as 2⁄2, 2⁄3 and 4⁄4, to support them in understanding the role played by the numerator and denominator.

## Resources for this topic

### White Rose Maths

#### Reasoning - Problem Solving - Number and Fraction Problems - 29th March

There are four problems for KS1 and two for KS2.

In KS1 problem children have to find possible numbers to make number sentences correct and then mark the number 1 on a number line.

At KS2 children need to manipulate fractions.

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.

#### Introduction to fractions

An introduction to fractions for year 1

### Mathematics Mastery

#### Introduction to fractions

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 fractions.

• 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 fractions

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 fractions

• 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.

### Resources shared by teachers

#### Year 2 - Fractions - Spring - Week 8

This pack of resources covers Year 2 fractions for the 8th week of the Spring term. The resources support a mastery approach to teaching mathematics. CPA (Concrete-Pictorial-Abstract) is promoted throughout therefore ensuring you have appropriate concrete resources in your classroom is recommended to make full use of the packs.

Week 8 includes worksheets and activities on:

• Equal parts
• Recognise a half
• Find a half
• Recognise a quarter
• Find a quarter

I hope you find the resources useful. Feedback very welcome.

#### Year 2 - Fractions - Spring - Week 9

This pack of resources covers Year 2 fractions for the 9th week of the Spring term. The resources support a mastery approach to teaching mathematics. CPA (Concrete-Pictorial-Abstract) is promoted throughout therefore ensuring you have appropriate concrete resources in your classroom is recommended to make full use of the packs.

Week 9 includes worksheets and activities on:

• Recognise a third
• Find a third
• Unit fractions
• Unit fractions flash cards
• Non-unit fractions

I hope you find the resources useful. Feedback very welcome.

#### Year 2 - Fractions - Spring - Week 10

This pack of resources covers Year 2 fractions for the 10th week of the Spring term. The resources support a mastery approach to teaching mathematics. CPA (Concrete-Pictorial-Abstract) is promoted throughout therefore ensuring you have appropriate concrete resources in your classroom is recommended to make full use of the packs.

Week 10 includes worksheets and activities on:

• Non-unit fractions
• Problem cards
• Finding three-quarters
• Equivalence of 2/4 and 3/4
• Counting in fractions

I hope you find the resources useful. Feedback very welcome.

#### Year 2 - Fractions - Spring - Weeks 8 - 10

This bundle of resources covers Year 2 fractions for weeks 8 to 10 of the spring term. The resources support a mastery approach to teaching mathematics. CPA (Concrete-Pictorial-Abstract) is promoted throughout therefore ensuring you have appropriate concrete resources in your classroom is recommended to make full use of the packs.

The bundle contains 3 packs, one for each week. And each pack contains 5 resources, one for each day.

The packs cover the White Rose Maths small steps for fractions.

I hope you find the resources useful. Feedback very welcome.

#### Pizza Party

Keep everyone happy by making enough pizza to give everyone an equal share.

#### FRACTIONS 1 What is a fraction

Simple worksheet explaining pictorially what a fraction is. If even this is too difficult for your pupil/s go to www.burtbooks.com and look for Introduction to fractions.

#### Simple unit fractions - identifying, shading and comparing

This worksheet can be used as pupils start their work on simple unit fractions. The worksheet gradually gets more involved as students identify simple unit fractions and then they start comparing. The worksheet shows the concept and the non - concept and pupils are asked reason their answers throughout.