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Angle Chase

Use knowledge and reasoning to fill in the angles on the geometrical diagrams drawn inside rectangles.

Chase 1 Chase 2 Chase 3 Chase 4 Exam-Style Description Help More Angles

50°

110°

Check

This is Angle Chase level 1. You can also try:
Theorems Triangles Points Parallels Chase 2 Chase 3 Chase 4

Instructions

The diagram is not drawn to scale but it is drawn inside a rectangle so the corner angles are 90°. Lines of the same colour are parallel.

Click on a green circle then enter the angle in the box that will appear.

Press the enter key when you have typed in the number to see if it is correct.

To do this exercise you should know about vertically opposite angles, angles on a straight line, angles at a point, alternate and corresponding angles made with parallel lines and the sum of the interior angles of a polygon.

Why am I learning this?

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 9 April 'Starter of the Day' page by Jan, South Canterbury:

"Thank you for sharing such a great resource. I was about to try and get together a bank of starters but time is always required elsewhere, so thank you."

Comment recorded on the 9 October 'Starter of the Day' page by Mr Jones, Wales:

"I think that having a starter of the day helps improve maths in general. My pupils say they love them!!!"

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Answers

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Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

Alternatively, if you use Google Classroom, all you have to do is click on the green icon below in order to add this activity to one of your classes.

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When planning to use technology in your lesson always have a plan B!

Heather Scott, Twitter

Sunday, October 8, 2017

John Tranter, Transum

Friday, October 13, 2017

"I wrote this activity for a friend's daughter who was struggling to see the angle relationships in her school homework. I presented it to her as this self-checking digital version because if she tried the more traditional paper versions she would not get the immediate feedback the computer provides.

We did level one together. She typed in the answers in the web browser but had a laminated copy of the printed version in front of her to draw on (Great for seeing the Z shapes).

After Level 1, she was feeling more confident so we played Level 2 as a game, taking it in turns to figure out one of the angles. She was most confident with vertically opposite angles and angles in triangles. A blank sheet of paper to hide the unnecessary part of the diagram helped her spot the angles together on a straight line. At one point, using her own initiative, I found her looking in her school exercise book to remind herself about angles in quadrilaterals and pentagons.

This was one of those great teacher moments when you can see the understanding taking shape and the pride the student demonstrates when solving mathematical problems.

I hope this activity works as well for you. "

Shirley,

Tuesday, February 6, 2018

"Why are the corner angles 90? I can't see it.

[Transum: Very good question Shirley. You can't assume angles are exactly 90° just because they look like right angles. The clue here is in the text at the top of the page which says that the diagram is drawn inside a rectangle and the angles of a rectangle are 90°.]"

Priscilla Allan,

Thursday, November 15, 2018

"Loved this so much - We want MORE! Thanks - it is awesome fun."

Rebecca Rouse, Sydney, Australia

Monday, November 30, 2020

"Hi John,
We're so stuck on #4. Any hints?
Cheers, Rebecca.

[Transum: Glad to hear that you are having fun with Angle Chase. There is a circle involved so your clue is to have a look at Circle Theorems. Good luck, John]"

QEH, Bristol

Friday, January 22, 2021

"Year 7 have been solving geometry problems this week.
Zac took about 2 hours to complete this one because he had to learn about circle theorems and parallel lines.
Independent study leads to some amazing learning."

Andrea Biro, Twitter

Friday, March 11, 2022

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Scan the QR code below to visit the online version of this activity.

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https://www.Transum.org/go/?Num=714

Description of Levels

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Level 1 - 31 angles to be found in a diagram with one set of parallel lines

Level 2 - 42 angles to be found in a diagram with three sets of parallel lines

Level 3 - 69 angles to be found in a fiendishly complex diagram

Level 4 - Impossible unless you know the circle angle theorems

Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.

More on this topic including lesson Starters, visual aids and investigations.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

Angle Theorems

Theorem 1 Theorem 2 Theorem 3
Theorem 4 Theorem 5 Theorem 6
Theorem 7 Theorem 8 Theorem 9

Click on a picture above for a large version, theorem description and interactive model.

If you are on level 4 you will also need the Circle Theorems.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

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