# Teaching for mastery in primary maths

Year 6
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Year 6
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## Multiply and divide fractions

• Year group: Year 6
• Term: Autumn
• Topic: Fractions
• Duration: 2 weeks
• Keystage: KS2
• Age Range: 10 to 11 yrs
• Unit can be taught out of sequence: N
• Week Range: 9 - 10

In this chapter, pupils build on their understanding of calculating with fractions.

Pupils will be able to multiply a pair of proper fractions and use concrete and pictorial representations to explain and justify their answer. They may, for example, relate it to area.

Once pupils are confident with multiplication, they start dividing proper fractions by integers. Again, they use diagrams to explain and justify their answer.

## Resources for this topic

### White Rose Maths

#### Fractions Matching Activity

A simple activity to help students that asks pupils to link the pictorial representation to a fraction word problem and then the abstract solution. Pupils could then make up their own problem and solution.

#### 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.

### Mathematics Mastery

#### Multiply and divide fractions

Select ‘View more’ for an accompanying video.

Enabling teachers to continuously develop their practice is a key element of the Mathematics Mastery Programme.

This CPD video provides step-by-step guidance on multiplying and dividing fractions.

Our videos aim to:

• Model teaching tips, techniques and clarify how to make connections between concrete, pictorial and abstract representations
• Support the teaching of different methods and concepts, rather than focusing on one method only
• Enhance subject knowledge and support non-specialists

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.

#### Multiply and divide 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 multiply and divide 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 6 - Fractions - Week 7

***Now with editable versions and answer***

This is pack 1 of 4 on Year 6 fractions and covers the small steps Simplify Fractions, Fractions on a Number Line and Compare and Order Fractions by the Denominator.  The resources aim to help children gain a deeper understanding of the concepts covered in the topic.

The resources include pictorial and abstract representations as well as reasoning and problem solving activities and more open ended problems to support and extend your whole class.

I hope you find them useful

#### Year 6 - Fractions - Week 8

***Now includes answers and editable versions***

This is pack 2 of 4 on Year 6 fractions and covers the small steps Compare and Order Fractions by the Numerator, Add and Subtract Fractions (1), Add and Subtract Fractions (2) and Adding Fractions.  The resources aim to help children gain a deeper understanding of the concepts covered in the topic.

The resources include pictorial and abstract representations as well as reasoning and problem solving activities and more open ended problems to support and extend your whole class.

I hope you find them useful.

#### Year 6 - Fractions - Week 9

****Now includes editable versions and answers****

This is pack 3 of 4 on Year 6 fractions and covers the small steps Subtracting Fractions, Mixed Addition and Subtraction Problems, Multiply Fractions by Whole Numbers, Multiply Fractions by Fractions and Divide Fractions by Integers.  The resources aim to help children gain a deeper understanding of the concepts covered in the topic.

The resources include pictorial and abstract representations as well as reasoning and problem solving activities and more open ended problems to support and extend your whole class.

I hope you find them useful.

#### Year 6 - Fractions - Week 10

****Now includes answers and editable versions****

This is pack 4 of 4 on Year 6 fractions and covers the small steps Divide a fraction by a whole number (2), Four rules with fractions, Fraction of an amount, and Fraction of an amount - finding the whole.  The resources aim to help children gain a deeper understanding of the concepts covered in the topic.

The resources include pictorial and abstract representations as well as reasoning and problem solving activities and more open ended problems to support and extend your whole class.

I hope you find them useful.

#### Year 6 - Fractions - Week 7 to 10

This bundle of resources covers Year 6 fractions for weeks 7 to 10 of the autumn term. The resources support a mastery approach to teaching mathematics.

The bundle contains 4 packs, one for each week of teaching.

Week 7 includes worksheets and activities on: - Simplify fractions
Fractions on a number line
Compare and order fractions by the denominator

Week 8 includes worksheets and activities on: - Compare and order fractions by the numerator

Week 9 includes worksheets and activities on: - Subtracting fractions
Multiply fractions by whole number
Multiply fractions by fractions
Divide fractions by whole numbers

Week 10 includes worksheets and activities on: - Divide fractions by whole numbers
Four rules with fractions
Fraction of an amount
Fraction of an amount – finding the whole

I hope you find this useful.

#### New Curriculum Year 6 Fractions: divide fractions by whole numbers

It's all here. All you need to teach and deliver a lesson to Year 6 on: dividing fractions by whole numbers.

Questions and answers differentiated three ways, extension tasks, a suggestion for a teacher led or independent activity, a vocabulary sheet for a display and an example sheet also for a display.