# Teaching for mastery in primary maths

Year 4
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## Fractions of an amount

• Year group: Year 4
• Term: Spring
• Topic: Fractions
• Duration: 1 weeks
• Keystage: KS2
• Age Range: 8 to 9 yrs
• Unit can be taught out of sequence: N
• Week Range: 6

In this chapter, pupils further their understanding of fractions as an operator, which builds on twork from chapter 5.

Pupils find a fraction of an amount, including non-unit fractions of amounts, where the answer is a whole number. As in earlier chapters, they should use representations, such as the bar model, as a visual aid in helping them to understand the process of finding a fraction of an amount.

Too often pupils are told to "divide by the numerator” and “multiply by the denominator”, without any understanding of why this is the case. They should explore this in detail and be encouraged to solve more-involved problems, in order to check their understanding.

## Resources for this topic

### White Rose Maths

#### KS2 - Problem Solving and Reasoning Questions

Here are a final few problem solving and reasoning problems ahead of SATS this week. Feel free to use them,

@WRMathsHub

#### KS2 Reasoning and Problem Solving Questions - 4th May

As promised a few more questions in preparation for SATS next week. Hope they are useful for the classroom. @WRMathsHub

### Mathematics Mastery

#### 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.

#### 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 fractions of an 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.

### Resources shared by teachers

#### Year 4 Fractions Pack 1 - Spring

This is the first of four packs based on Year 4 fractions. It covers the small steps: Fractions – what is a fraction? Equivalent fractions: strip diagrams and Equivalent fractions: proportional reasoning. The pack contains examples of practical activities, games and worksheets which aim to help children gain a deeper understanding of the concepts covered in the topic.

The resources have a good mix of fluency, reasoning and problem solving activities and promote the use of CPA (Concrete-Pictorial-Abstract) throughout.
I hope you find the resources useful.

#### Year 4 Fractions Pack 2 - Spring

This is the second of four packs based on Year 4 fractions. It covers the small steps: Fractions greater than 1, Proper and improper fractions, Adding fractions and Subtracting fractions. The pack contains examples of practical activities, games and worksheets which aim to help children gain a deeper understanding of the concepts covered in the topic.

The resources have a good mix of fluency, reasoning and problem solving activities and promote the use of CPA (Concrete-Pictorial-Abstract) throughout.
I hope you find the resources useful.

#### Year 4 Fractions Pack 3 - Spring

This is the third of four packs based on Year 4 fractions. It covers the small steps: Count in fractions, Subtract 2 fractions (recap) and Subtract from whole amounts. The pack contains games and worksheets which aim to help children gain a deeper understanding of the concepts covered in the topic.

The resources have a good mix of fluency, reasoning and problem solving activities and promote the use of CPA (Concrete-Pictorial-Abstract) throughout.
I hope you find the resources useful.

#### Year 4 Fractions Pack 4 - Spring

This is the last of four packs based on Year 4 fractions. It covers the small steps: Calculate fractions of a quantity and Problem solving – calculate quantities. The resources aim to help children gain a deeper understanding of the concepts covered in the topic.

The resources have a good mix of fluency, reasoning and problem solving activities and promote the use of CPA (Concrete-Pictorial-Abstract) throughout.
The pack also includes an ‘End of unit Assessment’ for Fractions which can be used to analyse misconceptions and gaps in understanding.
I hope you find the resources useful.

#### Year 4 Fraction Bundle - Spring

This bundle of resources covers 4 weeks of fractions for Year 4 during the Spring term. The resources aim to help children gain a deeper understanding of the concepts covered in the topic. Pack 1 recaps what a fraction is and looks at equivalent fractions. Pack 2 looks at fractions greater than 1 and adding/ subtracting fractions. Pack 3 covers counting in fractions and more on subtracting fractions. Pack 4 covers finding fractions of quantities and has an 'End of unit assessment'.
The resources have a good mix of fluency, reasoning and problem solving activities and promote the use of CPA (Concrete-Pictorial-Abstract) throughout.

I hope you find the resources useful.

#### Fractions of amounts maze

Multiple-choice fractions of amounts questions disguised in a more exciting form. 3 levels of maze (unitary fractions, whole number answers, some answers with halves) plus a blank one for students to make their own. (Only the roads containing the correct answers can be travelled through). Quick to mark as you're looking for a general shape, not all the correct numbers! Please see http://www.tes.co.uk/ResourceDetail.aspx?storyCode=6041978 for an improved version by clangercrazy!

#### Writing fractions of amounts (pictorial)- 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.

#### NRICH - Peaches (Fractions of Amounts)

Printable worksheet of the fantastic problem which can be found on NRICH - http://nrich.maths.org/2312

This is a great task to challenge students who are getting the hang of fractions of amounts.