Transum Maths Software

Circles

There are 366 different Starters of The Day, many to choose from. You will find in the left column below some starters on the topic of Circles. In the right column below are links to related online activities, videos and teacher resources.

A lesson starter does not have to be on the same topic as the main part of the lesson or the topic of the previous lesson. It is often very useful to revise or explore other concepts by using a starter based on a totally different area of Mathematics.

Main Page

Circles Starters:

Pi Day: March 14th is Pi Day. The third month and the 14th day relates to 3.14 which is pi to three significant figures. How many figures of pi can you memorise?

Refreshing Revision: It is called Refreshing Revision because every time you refresh the page you get different revision questions.

Square Circle Kite: Write down the names of all the mathematical shapes you know.

 

Small images of these Starters | | |  Complete Index of Starters

Suggested

Proof of Circle Theorems

Proof of Circle Theorems

Arrange the stages of the proofs for the standard circle theorems in the correct order.

The short web address is:

Transum.org/go/?to=provetheorem

 

Curriculum for Circles:

Year 6

Pupils should be taught to illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius more...

Years 7 to 9

Pupils should be taught to calculate and solve problems involving: perimeters of 2-D shapes (including circles), areas of circles and composite shapes more...

Years 10 and 11

Pupils should be taught to identify and apply circle definitions and properties, including: centre, radius, chord, diameter, circumference, tangent, arc, sector and segment more...

Pupils should be taught to {apply and prove the standard circle theorems concerning angles, radii, tangents and chords, and use them to prove related results} more...

Pupils should be taught to calculate arc lengths, angles and areas of sectors of circles more...

Pupils should be taught to {recognise and use the equation of a circle with centre at the origin; find the equation of a tangent to a circle at a given point} more...

Feedback:

Comment recorded on the 18 September 'Starter of the Day' page by Mrs. Peacock, Downe House School and Kennet School:

"My year 8's absolutely loved the "Separated Twins" starter. I set it as an optional piece of work for my year 11's over a weekend and one girl came up with 3 independant solutions."

Comment recorded on the 10 September 'Starter of the Day' page by Carol, Sheffield PArk Academy:

"3 NQTs in the department, I'm new subject leader in this new academy - Starters R Great!! Lovely resource for stimulating learning and getting eveyone off to a good start. Thank you!!"

Comment recorded on the 28 May 'Starter of the Day' page by L Smith, Colwyn Bay:

"An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. It is particularly useful when things can be saved for further use. Thank you!"

Comment recorded on the 23 September 'Starter of the Day' page by Judy, Chatsmore CHS:

"This triangle starter is excellent. I have used it with all of my ks3 and ks4 classes and they are all totally focused when counting the triangles."

Comment recorded on the 3 October 'Starter of the Day' page by Mrs Johnstone, 7Je:

"I think this is a brilliant website as all the students enjoy doing the puzzles and it is a brilliant way to start a lesson."

Comment recorded on the 24 May 'Starter of the Day' page by Ruth Seward, Hagley Park Sports College:

"Find the starters wonderful; students enjoy them and often want to use the idea generated by the starter in other parts of the lesson. Keep up the good work"

Comment recorded on the 14 October 'Starter of the Day' page by Inger Kisby, Herts and Essex High School:

"Just a quick note to say that we use a lot of your starters. It is lovely to have so many different ideas to start a lesson with. Thank you very much and keep up the good work."

Comment recorded on the 1 August 'Starter of the Day' page by Peter Wright, St Joseph's College:

"Love using the Starter of the Day activities to get the students into Maths mode at the beginning of a lesson. Lots of interesting discussions and questions have arisen out of the activities.
Thanks for such a great resource!"

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."

Comment recorded on the 12 July 'Starter of the Day' page by Miss J Key, Farlingaye High School, Suffolk:

"Thanks very much for this one. We developed it into a whole lesson and I borrowed some hats from the drama department to add to the fun!"

Notes:

This is all to do with pi and why it is such an important number. From finding the circumference and area of circles to problem solving and investigation.
Circle
Pupils will begin by learning the names of the parts of a circle then, either through investigation or practical activity, discover that the circumference of a circle is always just a little more than three times the length of the diameter whatever the size of the circle. A brief walk through history leads them to find out how to use this knowledge (and a more accurate version of pi) to find the circumference and areas of circles. This can then be developed to find the area of a sector, area of a segment, area of an annulus and the area of the region between a circle and a square in more complex problem solving situations.

More mathematics related to the circle can involve angle theorems, loci and algebra.

Circles Teacher Resources:

Angle Theorem Kim's Game: A memory game to be projected to help the whole class revise the circle angle theorems.

Circle Parts Kim's Game: A memory game to be projected to help the whole class revise the names for the parts of a circle.

Circle Theorems: Diagrams of the circle theorems to be projected onto a white board as an effective visual aid.

Circles Activities:

Circle Equations: Recognise and use the equation of a circle with centre at the origin and the equation of a tangent to a circle.

Circle Pairs: Find the matching pairs of circle diagrams and circle properties in this interactive online game.

Circle Theorem Pairs: A pairs game based around ten theorems about the angles made with chords, radii and tangents of circles.

Circle Theorems Exercise: Show that you understand and can apply the circle theorems with this self marking exercise.

Circles: Practise using pi to calculate various circle measurements. There are six levels of difficulty.

Proof of Circle Theorems: Arrange the stages of the proofs for the standard circle theorems in the correct order.

Circles Videos:

A Brief History of Pi: A video from Simon Clark presenting a deep but accessible account of the history of pi.

Circle Drawing Champion: A teacher draws a perfect freehand circle of diameter one metre in less than a second.

Circle Facts Song: A free trial lesson from Math Upgrade dot com.

Circle Song: This song helps students remember circle terminology (radius & diameter) and the formulas for area and circumference.

Circumference: How does the circumference of a glass compare to the height of the glass? You'll be surprised when you find out.

Facts You Should Know About Pi: Mathematician Presh Talwalkar explains five facts you should know about pi.

Pi: Some information about Pi, the "celebrity number'. A video features maths-loving author Alex Bellos.

Pi and Four Fingers: Why is The Simpsons not in Base 8? In this video Simon Singh talks about Pi and Maths in The Simpsons cartoon.

Pi Song: Kate Bush sings the digits of pi (audio only).

Circles Worksheets/Printables:

Circle Theorem Worksheet: One page of ready-drawn circles for pupils to draw their own diagrams followed by two pages of questions.

Parts of a Circle: A sheet of circles with nine parts named. The pupil is asked to draw the named parts.

Circles External Links:

Links to other websites containing resources for Circles are provided for those logged into 'Transum Mathematics'. Subscribing also opens up the opportunity for you to add your own links to this panel. You can sign up using one of the buttons below:

Search

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Suggested

Circle Theorems

Circle Theorems

Diagrams of the circle theorems to be projected onto a white board as an effective visual aid.

The short web address is:

Transum.org/go/?to=circle_theorems

 

Homepage

Have today's Starter of the Day as your default homepage. Copy the URL below then select
Tools > Internet Options (Internet Explorer) then paste the URL into the homepage field.

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