# Teaching for mastery in primary maths

Year 6
Year 1
Year 2
Year 3
Year 4
Year 5
Year 6
Spring
Autumn
Spring
Summer
All Topics

## Calculating with decimals

• Year group: Year 6
• Term: Spring
• Topic: Decimals
• Duration: 2 weeks
• Keystage: KS2
• Age Range: 10 to 11 yrs
• Unit can be taught out of sequence: N
• Week Range: 1 - 2

In this chapter, pupils extend calculation work to include numbers with up to three decimal places.

Pupils develop confidence in working with numbers with up to three decimal places. They represent them with objects and diagrams, identifying the value of each digit. Using their understanding of decimal place value, they solve problems requiring answers to be rounded to specified degrees of accuracy.

Building on work from the previous chapter, pupils now multiply numbers with up to three decimal places by 10, 100 or 1,000 and multiply one-digit numbers with up to two decimal places by whole numbers. Additionally, they divide numbers by 10, 100 or 1,000 to find answers with up to three decimal places. They use written division methods to find answers with up to two decimal places.

Later, pupils also recall and use equivalences between simple fractions, decimals and percentages in a variety of contexts, using representations to facilitate understanding.

They use their knowledge of decimals across the curriculum in a wide variety of mathematical and real-life contexts.

Download all decimals chapters as a PDF

## Resources for this topic

### White Rose Maths

#### Multiplying Decimals - Card Sort Activity

This worksheet is part of our November resources competition. This activity could be used when moving from multiplying a decimal with an integer, to multiplying decimals with decimals.
The purpose of the activity is to look at the relationship between the question cards in each group and discuss how they are connected and conceptually why this works.

Could also be used as a concentration (match game) style activity.

Remember to submit your own resource for your chance to win a prize in our November resource competition. More details can be found here.

http://whiterosemathshub.co.uk/wrmhtescomp/

#### Addition and subtraction of decimals

This worksheet and problem cards will help students deepen their understanding of addition and subtraction of decimals.

### Mathematics Mastery

#### Calculating with decimals

Developing pupils’ problem solving skills is a key element of the Mathematics Mastery programme.
This homework task focuses on problem solving with decimals and can be used in two ways. 1. To support parents with their child(ren)’s learning at home, helping them to develop their mathematical understanding beyond the classroom environment. 2. For teachers to use this resource as a basis for a classroom activity, helping pupils to practise and consolidate their understanding.
• Each task is accompanied by guidance to support parents with concepts and methods they may be less familiar with
• For the classroom, you can introduce this as an independent task or in mixed attainment 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.

#### Calculating with decimals

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 calculating with decimals

• 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.

#### Calculating with decimals

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 calculating with decimals.

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.

#### Calculating with decimals

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 calculating with decimals.

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.

#### Calculating with decimals

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.

### Resources shared by teachers

#### Year 6 Decimals Pack 1 - Spring

This is the first of two packs based on Year 6 decimals. It covers the small steps: Three decimal places, Multiply by 10, 100 and 1,000, Divide by 10, 100 and 1,000, Multiply decimals by integers and Divide decimals by integers. 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.
I hope you find the resources useful.

#### Year 6 Decimals Pack 2 - Spring

This is the second of two packs based on Year 6 decimals. It covers the small steps: Division to solve problems, Decimals as fractions, Fractions to Decimals (1) and (2). The resources aim to help children gain a deeper understanding of the concepts covered in the topic.
The pack also includes an ‘End of unit Assessment’ for Decimals which can be used to analyse misconceptions and gaps in understanding.
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.

#### Percentages to Decimals Matching Pairs Game

A fun competitive interactive whiteboard game in which two teams take it in turns to match percentages, decimals and fractions. The game keeps score and has a built in timer in the event of a draw. This game won a Microsoft innovation award.

A creator version is available to buy to make your own games

#### Fractions, Decimals, Percentages

Tarsia for conversions of fractions, decimals, percentages

#### Worksheet/homework: X & dividing by 10,100,1000

Complete calculations using multiplying and dividing by 10 and 100, and 1000 (extension) to crack a secret code. Can be modified to suit location etc.