- 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?
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:
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
Contents
Background
Where do the questions and data come from... and how can you get hold of them!
1. Where do the questions come from?
2. Where does the data come from?
3. How to get the data and explanations
4. A few thoughts about mistakes and misconceptions
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
Image - what students meet and when
2. The answers!
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
2. What do students do well?
3. Guess the misconception introduction
Question 1
4. Question 1 - the results
Question 2
5. Question 2 - the results
Question 3
6. Question 3 - the results
Question 4
7. Question 4 - the results
8. Reflection
9. What can we do to help?
10. Resource - visualising factors
11. Resource - find the number
12. Resource - factor facts
13. Resource - sequences
14. Reflection
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
2. What do students do well?
3. Guess the misconception introduction
Question 1
4. Question 1 - the results
Question 2
5. Question 2 - the results
6. Reflection
7. What can we do to help?
8. Resource - factor, multiple, both, neither?
9. Resource - sequences of multiples
10. Resource - multiple puzzles
11. Resource - three consecutive numbers
12. Resource - Venn daigrams
13. Reflection
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
2. What do students do well?
3. Guess the misconception introduction
Question 1
4. Question 1 - the results
Question 2
5. Question 2 - the results
6. Reflection
7. What can we do to help?
8. Resource - 64
9. Resource - factograms
10. Resource - number theory
11. Resource - schemes of work
12. Reflection.mp4
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
2. What do students do well?
3. Guess the misconception introduction
Question 1
4. Question 1 - the results
Question 2
5. Question 2 - the results
6. Reflection
7. What can we do to help?
8. Resource - a multiple number
9. Resource - 12
Resource - 12
10. Reflection
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
2. What do students do well?
3. Guess the misconception introduction
Question 1
4. Question 1 - the results
Question 2
5. Question 2 - the results
Question 3
6. Question 3 - the results
Question 4
7. Question 4 - the results
8. Reflection
9. What can we do to help?
10. Resource - visualising primes
11. Resource - prime number quiz
12. Resource - total is prime
13. Resource - number theory
14. Reflection
Wrap-up
A few things before we say goodbye
1. A possible planning structure
IMAGE - A possible planning structure
2. Reflection
3. My online courses
PreviewLinks to my other work
Here are some links to my other work that you may (or may not!) be interested in
My books
My podcasts
My websites
Other stuff!