- Free
Angles - introduction (new version!)
Where do students struggle with the basics of angles, 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 angles. 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:
- Estimating the size of angles
- Measuring angles
- Angles in a triangle
- Angles in polygons
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?
- 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
What do students in England first encounter to big ideas of angles?
1. The challenge
- 1 min
- 36.1 MB
Image - What do students meet and when?
- 39.7 KB
2. The results
- 5 mins
- 128 MB
Estimating the size of angles
What do students struggle with when estimating the size of angles, and what can we do to help?
1. Introduction
- 1 min
- 6.16 MB
2. What do students do well?
- 4 mins
- 53.1 MB
3. Guess the misconception introduction
- 2 mins
- 23.8 MB
Question 1
- 136 KB
4. Question 1 - the results
- 4 mins
- 81.5 MB
Question 2
- 101 KB
5. Question 2 - the results
- 3 mins
- 37.3 MB
6. Reflection
- 1 min
- 3.48 MB
7. What can we do to help?
- 1 min
- 9.38 MB
8. Resource - estimating the size of angles
- 5 mins
- 159 MB
9. Resource - estimating angles game
- 3 mins
- 111 MB
10. Reflection
- 1 min
- 12.1 MB
Measuring the size of angles
What do students struggle with when measuring the size of angles, and what can we do to help?
1. Introduction
- 1 min
- 6.79 MB
2. What do students do well?
- 4 mins
- 65.6 MB
3. Guess the misconception introduction
- 2 mins
- 23.8 MB
Question 1
- 191 KB
4. Question 1 - the results
- 3 mins
- 58.1 MB
Question 2
- 244 KB
5. Question 2 - the results
- 3 mins
- 67 MB
6. Reflection
- 1 min
- 9.05 MB
7. What can we do to help?
- 1 min
- 9.38 MB
8. Resource - dynamic protractor
- 4 mins
- 92.3 MB
9. Resource - blank protractor
- 3 mins
- 55.9 MB
10. Resource - measuring angles practice
- 5 mins
- 116 MB
11. Retrieval opportunities
- 4 mins
- 50.2 MB
12. Reflection
- 1 min
- 10.4 MB
Angles in a triangle
What do students struggle with when dealing with the angles in a triangle, and what can we do to help?
1. Introduction
- 1 min
- 4.76 MB
2. What do students do well?
- 3 mins
- 41.9 MB
3. Guess the misconception introduction
- 2 mins
- 23.8 MB
Question 1
- 31.5 KB
4. Question 1 - the results
- 5 mins
- 80.7 MB
Question 2
- 136 KB
5. Question 2 - the results
- 3 mins
- 59 MB
Question 3
- 121 KB
6. Question 3 - the results
- 3 mins
- 45.2 MB
Question 4
- 35.3 KB
7. Question 4 - the results
- 2 mins
- 31.2 MB
8. Reflection
- 1 min
- 5.23 MB
9. What can we do to help?
- 1 min
- 9.38 MB
10. Resource - angles in a triangle demonstration
- 5 mins
- 127 MB
11. Resource - always, sometimes, never 70
- 2 mins
- 32.9 MB
12. Resource - instant maths ideas
- 3 mins
- 100 MB
13. Resource - two isosceles triangles stuck together
- 4 mins
- 52.7 MB
14. Resource - isosceles triangle proofs
- 3 mins
- 39.8 MB
15. Reflection
- 1 min
- 7.27 MB
Angles in a polygon
What do students struggle with when dealing with the angles in a polygon, and what can we do to help?
1. Introduction
- 1 min
- 6.05 MB
2. What do students do well?
- 4 mins
- 53.4 MB
3. Guess the misconception introduction
- 2 mins
- 23.8 MB
Question 1
- 149 KB
4. Question 1 - the results
- 2 mins
- 36.6 MB
Question 2
- 113 KB
5. Question 2 - the results
- 2 mins
- 33.2 MB
6. Reflection
- 1 min
- 4.5 MB
7. What can we do to help?
- 1 min
- 9.38 MB
8. Resource - dynamic interior angles in polygons
- 5 mins
- 121 MB
9. Resource - dynamic exterior angles
- 4 mins
- 80.3 MB
10. Resource - angles in polygons depth
- 2 mins
- 46.2 MB
11. Resource - practice makes perfect
- 2 mins
- 46.9 MB
12. Reflection
- 1 min
- 8.58 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
Preview- 5 mins
- 111 MB
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