Factors, multiples and primes

Free

Factors, multiples and primes - basic

Where do students struggle with factors, multiples and primes, where do they come from, and what can we do to help our students?

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Course overview

In this course we take a deep dive into the wonderful world of factors, multiples and primes. Using data from 200+ million answers on my Diagnostic Questions website we see what students do well at, where they struggle, and what we can do to help them.

The areas we cover are:

Identifying factors
Identifying multiples
Working with factors
Working with multiples
Identifying prime numbers

This workshop is ideal to enhance your subject knowledge, as well as providing a framework for planning sequences of lessons that can be applied to all topics in mathematics.

This course can be completed on your own, with a colleague, or as a department.

It is suitable for secondary school teachers (teaching students age 11 to 16) and also primary teachers teaching Years 5 and 6 (9 to ll year olds).

For answers to the most frequently asked aspects of my online courses, please visit the FAQs section at the bottom of the homepage here.

Video introduction

Background

Where do the questions and data come from... and how can you get hold of them!

1. Where do the questions come from?

3 mins
46.8 MB

2. Where does the data come from?

2 mins
25 MB

3. How to get the data and explanations

2 mins
14.9 MB

4. A few thoughts about mistakes and misconceptions

10 mins
167 MB

What students meet and when

When do students in England encounter the key ideas of factors, multiples and prime according to the national curriculum?

1. What students meet and when

2 mins
38.6 MB

Image - what students meet and when

34.2 KB

2. The answers!

4 mins
97.6 MB

Identifying factors

What do students do well at when identifying factors, where do they struggle, and most importantly of all... what can we do to help?

1. Introduction

1 min
6.65 MB

2. What do students do well?

4 mins
43.9 MB

3. Guess the misconception introduction

2 mins
23.8 MB

Question 1

75.1 KB

4. Question 1 - the results

3 mins
55 MB

Question 2

97.7 KB

5. Question 2 - the results

5 mins
162 MB

Question 3

74.4 KB

6. Question 3 - the results

3 mins
45.7 MB

Question 4

134 KB

7. Question 4 - the results

3 mins
77.8 MB

8. Reflection

1 min
8.04 MB

9. What can we do to help?

1 min
9.38 MB

10. Resource - visualising factors

4 mins
90.4 MB

11. Resource - find the number

2 mins
29.7 MB

12. Resource - factor facts

4 mins
62.9 MB

13. Resource - sequences

3 mins
37.5 MB

14. Reflection

1 min
11.8 MB

Identifying multiples

What do students do well at when identifying multiples, where do they struggle, and most importantly of all... what can we do to help?

1. Introduction

1 min
6.52 MB

2. What do students do well?

3 mins
37.3 MB

3. Guess the misconception introduction

2 mins
23.8 MB

Question 1

86.2 KB

4. Question 1 - the results

3 mins
72.2 MB

Question 2

129 KB

5. Question 2 - the results

3 mins
72.4 MB

6. Reflection

1 min
4.09 MB

7. What can we do to help?

1 min
9.38 MB

8. Resource - factor, multiple, both, neither?

5 mins
102 MB

9. Resource - sequences of multiples

2 mins
24.4 MB

10. Resource - multiple puzzles

2 mins
33.6 MB

11. Resource - three consecutive numbers

2 mins
33.4 MB

12. Resource - Venn daigrams

3 mins
61 MB

13. Reflection

1 min
6.59 MB

Working with factors

What do students do well at when working with factors, where do they struggle, and most importantly of all... what can we do to help?

1. Introduction

1 min
8.05 MB

2. What do students do well?

3 mins
46.2 MB

3. Guess the misconception introduction

2 mins
23.8 MB

Question 1

89.6 KB

4. Question 1 - the results

3 mins
48.3 MB

Question 2

262 KB

5. Question 2 - the results

3 mins
77.3 MB

6. Reflection

1 min
5.45 MB

7. What can we do to help?

1 min
9.38 MB

8. Resource - 64

2 mins
38.4 MB

9. Resource - factograms

3 mins
58.1 MB

10. Resource - number theory

3 mins
96.4 MB

11. Resource - schemes of work

3 mins
62.5 MB

12. Reflection.mp4

1 min
9.8 MB

Working with multiples

What do students do well at when working with multiples, where do they struggle, and most importantly of all... what can we do to help?

1. Introduction

1 min
7.49 MB

2. What do students do well?

3 mins
27.3 MB

3. Guess the misconception introduction

2 mins
23.8 MB

Question 1

98.7 KB

4. Question 1 - the results

3 mins
77.1 MB

Question 2

143 KB

5. Question 2 - the results

2 mins
44.3 MB

6. Reflection

1 min
4.39 MB

7. What can we do to help?

1 min
9.38 MB

8. Resource - a multiple number

2 mins
22.2 MB

9. Resource - 12

2 mins
41.7 MB

Resource - 12

45.3 KB

10. Reflection

1 min
14.8 MB

Identifying prime numbers

What do students do well at when identifying prime numbers, where do they struggle, and most importantly of all... what can we do to help?

1. Introduction

1 min
6.98 MB

2. What do students do well?

3 mins
30.7 MB

3. Guess the misconception introduction

2 mins
23.8 MB

Question 1

140 KB

4. Question 1 - the results

3 mins
70.1 MB

Question 2

117 KB

5. Question 2 - the results

4 mins
92.5 MB

Question 3

119 KB

6. Question 3 - the results

4 mins
73 MB

Question 4

123 KB

7. Question 4 - the results

2 mins
31.7 MB

8. Reflection

1 min
6.63 MB

9. What can we do to help?

1 min
9.38 MB

10. Resource - visualising primes

6 mins
238 MB

11. Resource - prime number quiz

2 mins
40.1 MB

12. Resource - total is prime

2 mins
23.2 MB

13. Resource - number theory

4 mins
77.9 MB

14. Reflection

2 mins
21.2 MB

Wrap-up

A few things before we say goodbye

1. A possible planning structure

7 mins
147 MB

IMAGE - A possible planning structure

353 KB

2. Reflection

4 mins
94.7 MB

3. My online courses

5 mins
111 MB

Preview

Links to my other work

Here are some links to my other work that you may (or may not!) be interested in

My books

35.2 KB

My podcasts

73.5 KB

My websites

34.1 KB

Other stuff!

72.2 KB