# Teaching for mastery in primary maths

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## Factors, multiples and prime numbers

• Year group: Year 5
• Term: Autumn
• Topic: Factors, multiples and primes
• Duration: 0.5 weeks
• Keystage: KS2
• Age Range: 9 to 10 yrs
• Unit can be taught out of sequence: N
• Week Range: 9b

In this chapter, pupils learn about factors, multiples and prime numbers, as well as square and cube numbers.

In preparation for work with primes, pupils find all factor pairs of a number and identify the common factors of two numbers.

Following an introduction, pupils know that a number is considered a prime if it has no factor except 1 and itself. Using their knowledge of factors, they establish whether this is the case for any number up to 100. They also recall prime numbers up to 19 through frequent practice and application.

Later, pupils recognise and use square and cube numbers. They should experience concrete and pictorial representations of both number types in order to understand why they are described this way. Pupils are introduced to the notation for squared ² and cubed ³ and solve problems involving square and cube numbers.

## Resources for this topic

### White Rose Maths

#### Number problems

A set of number problems including factors, primes, odd, even and square numbers.

#### Reasoning - Problem Solving - Money Problems (KS1/2) - March 8th

Today's problems are ones that involve reasoning and problem solving with the numbers. There are two problems for KS1 and two for KS2.

In KS1 problem children have to use a number line to work out the size of the interval and then locate a particular number. Children then have to work out the highest and lowest numbers you can make given three digit cards. Version 2 of the Y2 problems has a slightly less demanding problem Q1 that might be good as a warm up.

At KS2 children also need to find intervals on a number line, but the problem is a little more involved.. The second problem should be tacked systematically.

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

#### Factors, multiples and Prime numbers

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 factors, multiples and prime numbers.

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.

#### Factors, multiples and Prime numbers

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

#### Prime Factors using a factor tree

This worksheet is for pupils who are learning about prime factorisation. Please give me some feedback on this, as I am a student teacher and would value all feedback.

#### Multiples (LCM) and Factors (HCF)

This is a step by step guide, first through multiples and factors before going onto comparing two or more numbers. I use 'factor bugs' as I found that this suits students who particularly forget what a 'factor' is, as it is a way of working out factors of a number visually. You will have to draw the factor bugs legs. There are notes in the footnote of the slide. There are activities for the students to complete.

Thank you to other TES members who also share.

#### Factors, Multiples and Primes: Follow me Cards

A nice follow-me 'loop card&' starter activity practicing students knowledge of factors, multiples and primes. This activity is suitable for KS3 and KS4 students. There are 32 cards to be printed that can be adapted and changed to suit different levels.

#### worksheet and revision aid for number work

Involves different types of numbers including factors, multiples, primes, squares and sequences

Other topics covered: Numbers