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Angle ChaseUse knowledge and reasoning to fill in the angles on the geometrical diagrams drawn inside rectangles. |
This is Angle Chase level 1. You can also try:
Theorems
Triangles
Points
Parallels
Chase 2
Chase 3
Chase 4
InstructionsThe 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. |
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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 2 May 'Starter of the Day' page by Angela Lowry, : "I think these are great! So useful and handy, the children love them. Comment recorded on the 1 February 'Starter of the Day' page by M Chant, Chase Lane School Harwich: "My year five children look forward to their daily challenge and enjoy the problems as much as I do. A great resource - thanks a million." |
Each month a newsletter is published containing details of the new additions to the Transum website and a new puzzle of the month. The newsletter is then duplicated as a podcast which is available on the major delivery networks. You can listen to the podcast while you are commuting, exercising or relaxing. Transum breaking news is available on Twitter @Transum and if that's not enough there is also a Transum Facebook page. |
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Featured ActivityFour Colour Theorem This mathematical activity involves colouring in! That makes a change. Using the paint bucket tool can you flood fill the regions so that no two adjacent regions are the same colour? |
AnswersThe solutions to this and other Transum puzzles, exercises and activities are available in this space when you are signed in to your Transum subscription account. If you do not yet have an account and you are a teacher or parent you can apply for one here. A Transum subscription also gives you access to the "Class Admin" student management system and opens up ad-free access to the Transum website for you and your pupils.
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Go MathsLearning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school. Maths MapAre you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic. | |||||
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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. |
It may be worth remembering that if Transum.org should go offline for whatever reason, there is a mirror site at Transum.info that contains most of the resources that are available here on Transum.org. When planning to use technology in your lesson always have a plan B! |
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Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments. |
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Scan the QR code below to visit the online version of this activity.
https://www.Transum.org/go/?Num=714
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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.
See the National Curriculum page for links to related online activities and resources.
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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.
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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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