# Teaching for mastery in primary maths

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## Four operations with decimals

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

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 and Percentages – White Rose Spring Week 10

This pack of resources covers Year 5 decimals and percentages for week 10 of the spring term.

Week 10 includes worksheets and activities on:
- Read and write decimal numbers
- Decimals as fractions
- Understanding thousandths

In the worksheets, decimals 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.

We hope you find these worksheets useful and save you time planning. We aim to produce resources which are of the highest quality - we strongly believe that the visual aspects of these worksheets enable deep understanding of the areas being taught. Once you have used these resources, we would love to hear what worked particularly well and what could be improved on: we often edit our resources.

Please find Y5 Decimals and Percentage Week 11 planning here: https://www.tes.com/teaching-resource/year-5-decimals-and-percentages-white-rose-spring-week-11-11820543

Thank you for taking your time to browse this resource!

@mathsteryed

#### Year 5 - Spring - Week 12 - Consolidation - White Rose

Year 5 - Consolidation - Spring Term (Week 12)
This pack recaps on Blocks 1, 2 and 3 of the spring term.
Included in this pack are worksheets that cover all of the small steps for the following:

Multiplication and Division (Block 1 - Weeks 1 to 3):

Multiply 4 digits by 1 digit
Multiply 2 digits (Area model)
Multiply 2 digits by 2digits
Multiply 3 digits by 2 digits
Multiply 4 digits by 2 digits
Divide 4 digits by 1 digit
Divide with remainders

Fractions (Block 2 - Weeks 4 to 9):

Equivalent fractions
Improper fractions to mixed numbers
Mixed numbers to improper fractions
Number sequences
Compare and order fractions less than 1
Compare and order fractions greater than 1
Subtract fractions
Subtract mixed numbers
Subtract – breaking the whole
Subtract 2 mixed numbers
Multiply unit fractions by an integer
Multiply non-unit fractions by an integer
Multiply mixed numbers by integers
Fraction of an amount
Using fractions as operators

Decimals and Percentages (Block 3 - Weeks 10 and 11):

Decimals up to 2 d.p.
Decimals as fractions (1)
Decimals as fractions (2)
Understand thousandths
Thousands as decimals
Rounding decimals
Order and compare decimals
Understand percentages
Percentages as fractions and decimals
Equivalent F.D.P

Note: there are approximately 2 questions for each small step.

PDF format (please set print option to fit).

The resources support a mastery approach to encourage a deeper understanding of the topics taught. It follows a CPA (Concrete, Pictorial, Abstract) approach to ensure all children can access learning. The pack provides pictorial and abstract representations, along with fluency, reasoning, problem solving and open-ended investigation questions. This can be seen in our product previews.

If you have any questions, please email primarystarseducation@gmail.com.

Thank you,

Primary Stars Education