# Teaching for mastery in primary maths

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## Adding and subtracting fractions with different denominators

• Year group: Year 6
• Term: Autumn
• Topic: Fractions
• Duration: 1 weeks
• Keystage: KS2
• Age Range: 10 to 11 yrs
• Unit can be taught out of sequence: N
• Week Range: 8

In this chapter, pupils draw on all of their previous knowledge to confidently add and subtract fractions with different denominators.

It is essential that pupils are secure in their understanding of what a fraction is and in the function of a fraction as division, as an operator, as a number and as a decimal.

Pupils use their knowledge of equivalent fractions, and factors and multiples, to simplify fractions of any size. They then compare and order any number of fractions and build on their knowledge of fractions as division to be able to calculate decimal equivalents (eg, 3⁄8 = 0.375). They also add and subtract any fractions using the concept of equivalence.

Concrete objects and visual representations should be used throughout to help explain key concepts and allow pupils to make the links between the calculations.

## Resources for this topic

### White Rose Maths

#### Problem Solving Question of the Day - 1st March

In March the White Rose Maths Hub want to provide primary teachers with a KS2 problem of the day. These are all reasoning and problem solving questions that teachers can use on daily basis in their classroom. Some problems may be suitable also for some students in KS3 and GCSE.

If your class solve the problem during March why not tweet us a picture of their solution @WRMathsHub

A resource that gives a clear example of how to add fractions with different denominators in a visual way.

### Mathematics Mastery

#### Adding and subtracting fractions with different denominators

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 adding and subtracting fractions with different denominators.

• 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.

#### Adding and subtracting fractions with different denominators

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 adding and subtracting fractions with different denominators.

• 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.

#### Adding and subtracting fractions (differentiated)

Two worksheets to help practise adding and subtracting fractions. Worksheet 1 concentrates on fractions with the same denominators. Worksheet 2 has fractions with different denominators.

#### Introduction to Fractions - hands on exploration

A practical support to gaining a concrete understanding fractions and how they work. The whiteboard file (Promethean only I'm afraid) allows teacher / pupils whole class discussion. The pupil cards (classroom assistant needed! Different colour card for each fraction is best) for pupils (1 set for one / two pupils). Work-cards allow for some independence (if you want). Also included is a link to the fractions ITP - different representations of fractions help a great deal.