# Teaching for mastery in primary maths

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## Multiply proper fractions and mixed numbers by whole numbers

• Year group: Year 5
• Term: Spring
• Topic: Fractions
• Duration: 2 weeks
• Keystage: KS2
• Age Range: 9 to 10 yrs
• Unit can be taught out of sequence: N
• Week Range: 7 - 8

In this chapter, pupils extend their understanding of fractions of an amount, as well as their knowledge of multiplying fractions.

Pupils extend their knowledge of fractions as an operator by finding fractions of numbers and quantities where the answer may not always be a whole number. They should explore this through the use of visual concepts, such as the bar model and other diagrams. This will help them solve more-involved problems.

Supported by materials and diagrams, pupils multiply proper fractions and mixed numbers by whole numbers. They see the connection between multiplication and repeated addition and start to recognise the relationship between multiplying and finding a fraction of an amount. Pupils go on to solve problems involving multiplication and division, including scaling by simple fractions.

## 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.

#### Multiplying proper fractions

Direct link to our Y5 scheme.

### Mathematics Mastery

#### Multiply proper fractions and mixed numbers by whole numbers

Enabling pupils to develop their mathematical reasoning skills through independent work is a key element of the Mathematics Mastery programme.
This activity explores the concept of multiplying proper fractions and mixed numbers by whole numbers.
• Pupils should complete these tasks using concrete manipulatives as part of the CPA approach
• Pupils should be encouraged to explain their working in full sentences
• These tasks may be adapted with pupils working in pairs to encourage mathematical discussion

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 proper fractions and mixed numbers by whole numbers

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 multiplying proper fractionsand mixed numbers by whole numbers.
• 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 5 Fractions Week 4

This is pack 1 of 6 on Year 5 Fractions and covers equivalent fractions and converting improper fractions to mixed numbers. The resources aim to help children gain a deeper understanding of the concepts covered in the first week. Fractions are represented in a variety of ways and lend themselves well for use alongside concrete manipulatives and pictorial representations.

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 5 Fractions Week 5

This is pack 2 of 6 on Year 5 Fractions and covers converting mixed numbers to improper fractions, number sequences and comparing and ordering fractions. The resources aim to help children gain a deeper understanding of the concepts covered in the second week. Fractions are represented in a variety of ways and lend themselves well for use alongside concrete manipulatives and pictorial representations.

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 5 Fractions Week 6

This is pack 3 of 6 on Year 5 Fractions and covers comparing and ordering fractions, investigating equivalent fractions and adding and subtracting fractions with the same denominator. The resources aim to help children gain a deeper understanding of the concepts covered in the third week. Fractions are represented in a variety of ways and lend themselves well for use alongside concrete manipulatives and pictorial representations.

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 5 Fractions Week 7

This is pack 4 of 6 on Year 5 Fractions and covers adding and subtracting fractions with unlike denominators. The resources aim to help children gain a deeper understanding of the concepts covered in the fourth week. Fractions are represented in a variety of ways and lend themselves well for use alongside concrete manipulatives and pictorial representations.

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 5 Fractions Week 8

This is pack 5 of 6 on Year 5 Fractions and covers subtracting fractions and multiplying fractions. The resources aim to help children gain a deeper understanding of the concepts covered in the fifth week. Fractions are represented in a variety of ways and lend themselves well for use alongside concrete manipulatives and pictorial representations.

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 5 Fractions Week 9

This is pack 6 of 6 on Year 5 Fractions and covers multiplying fractions, fractions of an amount and an end of unit assessment. The resources aim to help children gain a deeper understanding of the concepts covered in the first week. Fractions are represented in a variety of ways and lend themselves well for use alongside concrete manipulatives and pictorial representations.

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 5 Fractions

This is a complete bundle for Year 5 fractions covering all the Year 5 objectives for fractions. The resources aim to help children gain a deeper understanding of the concepts covered and adopt a mastery maths approach.

Fractions are represented in a variety of ways and lend themselves well for use alongside concrete manipulatives and pictorial representations.

The resources also include a range of reasoning and problem solving activities and more open ended problems to support and extend your whole class.

I hope you find them useful.

#### Multiply whole numbers by fractions using diagrams

Children shade fraction diagrams to help them to understand whole numbers x fractions. Designed for lower ability Year 5 children, to fit in with New Curriculum.

#### Multiplying fractions by a whole number KS2

A power point introduction and three differentiated activity sheets for multiplying fractions by a whole number. The challenge level 3 also contains mixed number fractions multiplied by a whole number. Please rate and leave a comment about how you get on with it!

#### Multiplying and dividing mixed number fractions - mastery worksheet

This is a mastery worksheet involving multiplying and dividing mixed number fractions.

The worksheet is split into 3 sections, fluency, reasoning and problem solving so students can master the topic.

All answers are included for the questions.