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Keyboardmonkey's Little Shop of Circle Theorems Puzzles

Average Rating4.86
(based on 116 reviews)

I'm especially interested in multi-step questions - or puzzles - that encourage students to select a series of techniques to arrive at a solution. The hope is that students will develop the resilience needed to answer, for example, harder geometry questions. My particular focus is Circle Theorems, which I also use for one of my SSDD resources as the 'surface' with the 'different deep' being other shape topics such as Pythagoras, Trigonometry, and arc length & segment of a circle.

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I'm especially interested in multi-step questions - or puzzles - that encourage students to select a series of techniques to arrive at a solution. The hope is that students will develop the resilience needed to answer, for example, harder geometry questions. My particular focus is Circle Theorems, which I also use for one of my SSDD resources as the 'surface' with the 'different deep' being other shape topics such as Pythagoras, Trigonometry, and arc length & segment of a circle.
Circle Theorems Revision Exercise #9
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Circle Theorems Revision Exercise #9

(3)
Recap activity #9 with the Circle Theorems on one page. (Prompted by original pile-up ideas from others on Pythagoras, Trigonometry - and Circle Theorems.) This puzzle is the ninth in a series of ten consolidation exercises/angle chases on the topic of Circle Theorems. All of the Circle Theorems are present with "two radii and a chord make an isosceles triangle" and "a radius that is perpendicular to a chord divides the chord into two equal parts" in there too.
Circle Theorems Revision Exercise #6
keyboardmonkeykeyboardmonkey

Circle Theorems Revision Exercise #6

(5)
Recap activity #6 with the Circle Theorems on one page. (Prompted by original pile-up ideas from others on Pythagoras, Trigonometry - and Circle Theorems.) *** Edited November 2020 to make clear that the line now identified as PQ is a straight one - answers given in my reply to the review dated 10 Nov, 2020 ***
Circle Theorems Revision Exercise #16
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Circle Theorems Revision Exercise #16

(4)
Recap activity #16 with the Circle Theorems on one page. ** Answers included in the PowerPoint file ** (Prompted by original pile-up ideas from others on Pythagoras, Trigonometry - and Circle Theorems.) This puzzle is the sixteenth in a series of consolidation exercises/angle chases on the topic of Circle Theorems. All of the Circle Theorems are present with “two radii and a chord make an isosceles triangle” and “a radius that is perpendicular to a chord divides the chord into two equal parts” in there too. **NB - this exercise has been created to encourage students to add their own lines in order to find some of the answers. Amended March 2020 without changing any of the answers **
Circle Theorems Revision Exercise #5
keyboardmonkeykeyboardmonkey

Circle Theorems Revision Exercise #5

(10)
Recap activity #5 with the Circle Theorems on one page. ** Updated May 2019 to include answers in the PowerPoint file ** (Prompted by original pile-up ideas from others on Pythagoras, Trigonometry - and Circle Theorems.) This puzzle is the fifth in a series of consolidation exercises/angle chases on the topic of Circle Theorems. All of the Circle Theorems are present with “two radii and a chord make an isosceles triangle” and “a radius that is perpendicular to a chord divides the chord into two equal parts” in there too. (See Speaker Notes should you wish to customise the PowerPoint slide)
Circle Theorems Revision Exercise #18
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Circle Theorems Revision Exercise #18

(1)
Recap activity #18 with the Circle Theorems on one page. ** Answers included in the PowerPoint file ** (Prompted by original pile-up ideas from others on Pythagoras, Trigonometry - and Circle Theorems.) This puzzle is the eighteenth in a series of consolidation exercises/angle chases on the topic of Circle Theorems. All of the Circle Theorems are present with “two radii and a chord make an isosceles triangle” and “a radius that is perpendicular to a chord divides the chord into two equal parts” in there too.
Circle Theorems Revision Exercise #19
keyboardmonkeykeyboardmonkey

Circle Theorems Revision Exercise #19

(1)
Recap activity #19 with the Circle Theorems on one page. ** Answers included in the PowerPoint file ** (Prompted by original pile-up ideas from others on Pythagoras, Trigonometry - and Circle Theorems.) This puzzle is the nineneenth in a series of consolidation exercises/angle chases on the topic of Circle Theorems. All of the Circle Theorems are present with “two radii and a chord make an isosceles triangle” and “a radius that is perpendicular to a chord divides the chord into two equal parts” in there too.
Circle Theorems Revision Exercise #10
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Circle Theorems Revision Exercise #10

(15)
Recap activity #10 with the Circle Theorems on one page. ** Updated November 2019 to include answers in the PowerPoint file ** (Prompted by original pile-up ideas from others on Pythagoras, Trigonometry - and Circle Theorems.) This puzzle is the tenth in a series of consolidation exercises/angle chases on the topic of Circle Theorems. All of the Circle Theorems are present with “two radii and a chord make an isosceles triangle” and “a radius that is perpendicular to a chord divides the chord into two equal parts” in there too. (See Speaker Notes should you wish to customise the PowerPoint slide)
Circle Theorems Help Sheet
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Circle Theorems Help Sheet

(10)
Fully editable Circle Theorems help sheet in MS PowerPoint (plus .pdf and .jpeg file). See speaker notes. Belt and braces prompts on a single presentation slide/sheet of A4/image file. (Amended March 2020, mainly to reverse the order of the last two circles.)
Circle Theorems Revision Exercise #12
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Circle Theorems Revision Exercise #12

(2)
Recap activity #12 with the Circle Theorems on one page. (Prompted by original pile-up ideas from others on Pythagoras, Trigonometry - and Circle Theorems.) This puzzle is the twelfth in a series of consolidation exercises/angle chases on the topic of Circle Theorems. All of the Circle Theorems are present with “two radii and a chord make an isosceles triangle” and “a radius that is perpendicular to a chord divides the chord into two equal parts” in there too. However, this activity may be particularly useful for practising ‘angle at the centre…’ and ‘the angle from the same chord/arc…’. (Note: this version was amended later on the day the resource was first uploaded by removing the top chord to steer the problem solver towards ‘the angle from the same chord/arc…’ rather than simply subtracting from 180 degrees. Plus it makes angle g more interesting to find, I think.)
Circle Theorems Revision Exercise #4
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Circle Theorems Revision Exercise #4

(7)
Recap activity #4 with the Circle Theorems on one page. ** Puzzle revised, and updated June 2019 to include answers in a PowerPoint file ** (Prompted by original pile-up ideas from others on Pythagoras, Trigonometry - and Circle Theorems.) This puzzle is the fourth in a series of consolidation exercises/angle chases on the topic of Circle Theorems. (See Speaker Notes should you wish to customise the PowerPoint slide)
Circle Theorems Revision Exercise #17
keyboardmonkeykeyboardmonkey

Circle Theorems Revision Exercise #17

(0)
Recap activity #17 with the Circle Theorems on one page. ** Answers included in the PowerPoint file ** (Prompted by original pile-up ideas from others on Pythagoras, Trigonometry - and Circle Theorems.) This puzzle is the seventeenth in a series of consolidation exercises/angle chases on the topic of Circle Theorems. All of the Circle Theorems are present with “two radii and a chord make an isosceles triangle” and “a radius that is perpendicular to a chord divides the chord into two equal parts” in there too.
Circle Theorems Revision Exercise #20
keyboardmonkeykeyboardmonkey

Circle Theorems Revision Exercise #20

(1)
Recap activity #20 with the Circle Theorems on one page. (Prompted by original pile-up ideas from others on Pythagoras, Trigonometry - and Circle Theorems.) This puzzle is the twentieth in a series of consolidation exercises/angle chases on the topic of Circle Theorems. All of the Circle Theorems are present with “two radii and a chord make an isosceles triangle” and “a radius that is perpendicular to a chord divides the chord into two equal parts” in there too. (See Speaker Notes should you wish to customise the PowerPoint slide.)
Circle Theorems Revision Exercise #13
keyboardmonkeykeyboardmonkey

Circle Theorems Revision Exercise #13

(3)
Recap activity #13 with the Circle Theorems on one page. (Prompted by original pile-up ideas from others on Pythagoras, Trigonometry - and Circle Theorems.) *** Updated to include answers in the PowerPoint file *** This puzzle is the thirteenth in a series of consolidation exercises/angle chases on the topic of Circle Theorems. All of the Circle Theorems are present with “two radii and a chord make an isosceles triangle” and “a radius that is perpendicular to a chord divides the chord into two equal parts” in there too. Students may wish to pencil in their own lines to help find some of the later angles.
Circle Theorems Revision Exercise #15
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Circle Theorems Revision Exercise #15

(5)
Recap activity #15 with the Circle Theorems on one page. ** Answers included in the PowerPoint file ** (Prompted by original pile-up ideas from others on Pythagoras, Trigonometry - and Circle Theorems.) This puzzle is the fifteenth in a series of consolidation exercises/angle chases on the topic of Circle Theorems. All of the Circle Theorems are present with “two radii and a chord make an isosceles triangle” and “a radius that is perpendicular to a chord divides the chord into two equal parts” in there too.
Circle Theorems Revision Exercise #7
keyboardmonkeykeyboardmonkey

Circle Theorems Revision Exercise #7

(3)
Recap activity #7 with the Circle Theorems on one page. (Prompted by original pile-up ideas from others on Pythagoras, Trigonometry - and Circle Theorems.) This puzzle is the seventh in a series of ten consolidation exercises/angle chases on the topic of Circle Theorems. All of the Circle Theorems are present with "two radii and a chord make an isosceles triangle" and "a radius that is perpendicular to a chord divides the chord into two equal parts" in there too.
Circle Theorems Revision Exercise #11
keyboardmonkeykeyboardmonkey

Circle Theorems Revision Exercise #11

(4)
Recap activity #11 with the Circle Theorems on one page. (Prompted by original pile-up ideas from others on Pythagoras, Trigonometry - and Circle Theorems.) This puzzle is the eleventh in a series of consolidation exercises/angle chases on the topic of Circle Theorems. All of the Circle Theorems are present with “two radii and a chord make an isosceles triangle” and “a radius that is perpendicular to a chord divides the chord into two equal parts” in there too. However, this exercise may be of particular use for revising Cyclic Quadrilaterals and ‘the angle at the centre…’.