# Teaching for mastery in primary maths

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## Four operations with decimals

• Year group: Year 5
• Term: Summer
• Topic: Decimals
• Duration: 4 weeks
• Keystage: KS2
• Age Range: 9 to 10 yrs
• Unit can be taught out of sequence: N
• Week Range: 1 - 4

In this chapter, pupils convert between fractions and decimals and calculate with decimals.

Building on work from the previous chapter, pupils read, write, order and compare numbers with up to three decimal places. They recognise and use thousandths and relate them to tenths and hundredths, as well as decimal equivalents and measures.

Pupils round decimals with two decimal places to the nearest whole number and to one decimal place. They say, read and write decimal fractions and related tenths, hundredths and thousandths accurately, and read and write decimal numbers as fractions (eg, 0.71 = 71100).

Linked with previous work on addition and subtraction, pupils count using decimals and fractions above and below zero. They mentally add and subtract tenths, as well as one-digit whole numbers and tenths. They practise adding and subtracting decimals, as well as whole numbers with decimals, decimals with different numbers of decimal places and also complements of 1 (eg, 0.83 + 0.17 = 1). Pupils recognise and describe linear number sequences involving fractions and decimals (eg, 3 , 312, 4, 412...) and find the term-to-term rule in words (eg, add 12).

Pupils multiply and divide whole numbers and those with decimals by 10, 100 and 1,000. In doing so, they interpret non-integer answers to division problems and express them in different ways according to the context. Answers are expressed as fractions, as numbers with remainders and as decimals (eg, 98 ÷ 4 = 984 = 24 r2 = 24 12 = 24.5 ≈ 25).

By the end of this chapter, pupils use all four operations to solve length, mass, volume or money problems using decimal notation. They go beyond the measurement and money models of decimals to solve number puzzles involving decimals. As a result of their extensive work on place value in previous topics, pupils check the reasonableness of their answers confidently.

## Resources for this topic

### White Rose Maths

#### Addition and subtraction of decimals

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

#### Reasoning - Problem Solving - Number Problems Galore - March 16th

Here are today's questions. There are two problems for KS1 and two for KS2.

In KS1 problem children have to find missing numbers in an addition pyramid and see if they can reason to find a missing number in a different one. They then have to solve a multi-step problem, which initially looks easier than it actually is.

At KS2 children have to be able to adding fractions and decimals together and convert between fraction and decimal. For the second question children have to adding and subtract decimals after converting to the same unit of measure.

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

#### Four operations 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 four operations 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.

#### Four operations 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 four operations 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.

### Resources shared by teachers

#### Year 5 Decimals: Week 1 Summer Term - Resources for White Rose Maths

This resource contains the first of four packs designed to support the delivery of the White Rose Maths Scheme Year 5 – Decimals for the Summer Term.

The resource focuses on the following White Rose Maths ‘small steps’

Subtraction within 1
Complements to 1

The resource contains worksheets / activities linked to the above small steps with an emphasis on the mastery approach to learning advocated by the White Rose scheme. The resource includes reasoning, problem solving and activities and varied fluency activities and tasks.

#### Year 5 Decimals: Week 2 Summer Term - Resources for White Rose Maths

This resource contains the second of four packs designed to support the delivery of the White Rose Maths Scheme Year 5 – Decimals for the Summer Term.

The resource focuses on the following White Rose Maths ‘small steps’

Subtracting same decimal places
Subtracting different decimal places

The resource contains worksheets / activities linked to the above small steps with an emphasis on the mastery approach to learning advocated by the White Rose scheme. The resource includes reasoning, problem solving and activities and varied fluency activities and tasks.

#### Year 5 Decimals: Week 3 Summer Term - Resources for White Rose Maths

This resource contains the third of four packs designed to support the delivery of the White Rose Maths Scheme Year 5 – Decimals for the Summer Term.

The resource focuses on the following White Rose Maths ‘small steps’

Subtracting different decimal places
Wholes and decimals
Decimal sequences

The resource contains worksheets / activities linked to the above small steps with an emphasis on the mastery approach to learning advocated by the White Rose scheme. The resource includes reasoning, problem solving and activities and varied fluency activities and tasks.

#### Year 5 Decimals: Week 4 Summer Term - Resources for White Rose Maths

This resource contains the fourth of four packs designed to support the delivery of the White Rose Maths Scheme Year 5 – Decimals for the Summer Term.

The resource focuses on the following White Rose Maths ‘small steps’

Multiplying by 10, 100 and 1000
Dividing by 10, 100 and 1000
Summing up

The resource contains worksheets / activities linked to the above small steps with an emphasis on the mastery approach to learning advocated by the White Rose scheme. The resource includes reasoning, problem solving and activities and varied fluency activities and tasks.

#### Year 5 Decimals - Weeks 1 to 4 Summer Term - Resources for White Rose Maths

This resource contains four packs to support the delivery of the White Rose Maths Scheme Year 5 Decimals - Block 1- Weeks 1-4 of the Summer Term.

The resource focuses on the following White Rose Maths ‘small steps’

Subtraction within 1
Complements to 1
Subtracting same decimal places
Subtracting different decimal places
Wholes and decimals
Decimal sequences
Multiplying by 10, 100 and 1000
Dividing by 10, 100 and 1000
Summing up

The resources are linked to the above small steps with an emphasis on the mastery approach to learning advocated by the White Rose scheme. The resource includes reasoning, problem solving and varied fluency activities and tasks.