# Teaching for mastery in primary maths

Year 5
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## Combining addition, subtraction, multiplication and division

• Year group: Year 5
• Term: Spring
• Topic: Calculations with four operations
• Duration: 1 weeks
• Keystage: KS2
• Age Range: 9 to 10 yrs
• Unit can be taught out of sequence: N
• Week Range: 3

In this chapter, pupils solve problems using all four operations.

Pupils continue to solve problems involving addition, subtraction, multiplication and division, and demonstrate their understanding of the meaning of the equals sign. As they begin to solve problems combining all four operations, they appreciate the importance of the order in which operations are used.

Take this problem, for example: “If 3 boxes each contain 5 counters and 4 boxes each contain 10 counters, how many counters are there is total?” Here, pupils recognise the importance of multiplying before adding the resulting answers.

## Resources for this topic

### White Rose Maths

#### Reasoning - Problem Solving - Number and Fraction Problems - 22nd March

Hope you enjoy today's problems.

In KS1 children have to work out the cost of a cheesecake given some information. They then have to work out whether 62 people can fit into some cars and buses.

At KS2 children need to work out the change for a £20 note and then solve a problem to find what the value of tow cards is.

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.

#### Reasoning - Problem Solving - Number Puzzles (KS1) and Shape Problems (KS2) - March 14th

Here are two problems for KS1 and two for KS2.

In KS1 children have to solve two number puzzles. The first one involves simple operations. The second problem involves fractions. Although the second problem seems quite simple it will tease out lots of misconceptions.

At KS2 children have to reason and problem solve with two shape problems. The first one involves working out the length of a square given the area and the second problem requires a little bar modelling, algebra or trialand error.

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. We had nearly 50 entries last week.

### Mathematics Mastery

#### Combining addition, subtraction, multiplication and division

Developing pupils’ problem solving skills is a key element of the Mathematics Mastery programme.
This homework task focuses on using all four operations when problem solving 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.

#### Combining addition, subtraction, multiplication and division

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 combining addition, subtraction, multiplication and division

• 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.

#### Combining addition, subtraction, multiplication and division

Developing pupils’ problem solving skills is a key element of the Mathematics Mastery programme.
This homework task focuses on addition, subtraction, multiplication and division 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.

#### Combining addition, subtraction, multiplication and division

Developing pupils’ problem solving skills is a key element of the Mathematics Mastery programme.
This homework task focuses on addition, subtraction, multiplication and division 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.

### Resources shared by teachers

#### Arrays and repeated addition as multiplication

Here is a worksheet which looks at arrays and repeated addition as multiplication. It has a focus on pirates as this is what my class have been looking at.

#### Loop Cards: Number Operations: KS3, KS4, Post16

This is a word document with loop cards that can be adjusted. There are instructions provided and these can be printed out to use as group work. The problems work on the number operations: multiplication, division, addition and subtraction. Ideal for KS3, KS4 and Post 16 students.

#### Written Methods Game

Board game in which students practise their written methods of addition/subtraction/multiplication/division. Students play the game in pairs. They must throw a dice to know how many squares to move and then use a written method to answer the calculation on the square that they land on. Their partner will peer assess and check that what they have done is right.