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 :: Index of Starters Circles Advanced Starters:Pizza Slice: A problem which can be solved by considering the areas of a triangle and a sector of a circle. Speed Circles: Find the diameters of the circles in the corners of the square. Sphere Hole: Find the volume of the remaining part of a sphere after a 10cm cylindrical hole has been drilled through it.
Curriculum for Circles:Year 6Pupils 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 9Pupils should be taught to calculate and solve problems involving: perimeters of 2D shapes (including circles), areas of circles and composite shapes more... Years 10 and 11Pupils 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... Years 12 and 13Pupils should be taught to understand and use the coordinate geometry of the circle including using the equation of a circle in the form (x – a)^{2} + (y – b)^{2} = r^{2} Completing the square to find the centre and radius of a circle; use of the following properties: the angle in a semicircle is a right angle, the perpendicular from the centre to a chord bisects the chord, the radius of a circle at a given point on its circumference is perpendicular to the tangent to the circle at that point more... Feedback: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 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 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 19 October 'Starter of the Day' page by E Pollard, Huddersfield: "I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information." 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 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. Comment recorded on the 10 April 'Starter of the Day' page by Mike Sendrove, Salt Grammar School, UK.: "A really useful set of resources  thanks. Is the collection available on CD? Are solutions available?" Comment recorded on the 2 April 'Starter of the Day' page by Mrs Wilshaw, Dunsten Collage,Essex: "This website was brilliant. My class and I really enjoy doing the activites." 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 s /Coordinate 'Starter of the Day' page by Greg, Wales: "Excellent resource, I use it all of the time! The only problem is that there is too much good stuff here!!" Comment recorded on the i asp?ID_Top 'Starter of the Day' page by Ros, Belize: "A really awesome website! Teachers and students are learning in such a fun way! Keep it up..." 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 3 October 'Starter of the Day' page by Fiona Bray, Cams Hill School: "This is an excellent website. We all often use the starters as the pupils come in the door and get settled as we take the register." Comment recorded on the 11 January 'Starter of the Day' page by S Johnson, The King John School: "We recently had an afternoon on accelerated learning.This linked really well and prompted a discussion about learning styles and short term memory." 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 14 September 'Starter of the Day' page by Trish Bailey, Kingstone School: "This is a great memory aid which could be used for formulae or key facts etc  in any subject area. The PICTURE is such an aid to remembering where each number or group of numbers is  my pupils love it! Comment recorded on the s /Indice 'Starter of the Day' page by Busolla, Australia: "Thank you very much for providing these resources for free for teachers and students. It has been engaging for the students  all trying to reach their highest level and competing with their peers while also learning. Thank you very much!" 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 3 October 'Starter of the Day' page by S Mirza, Park High School, Colne: "Very good starters, help pupils settle very well in maths classroom." Comment recorded on the 16 March 'Starter of the Day' page by Mrs A Milton, Ysgol Ardudwy: "I have used your starters for 3 years now and would not have a lesson without one! Fantastic way to engage the pupils at the start of a lesson." Comment recorded on the 17 November 'Starter of the Day' page by Amy Thay, Coventry: "Thank you so much for your wonderful site. I have so much material to use in class and inspire me to try something a little different more often. I am going to show my maths department your website and encourage them to use it too. How lovely that you have compiled such a great resource to help teachers and pupils. Comment recorded on the 19 June 'Starter of the Day' page by Nikki Jordan, Braunton School, Devon: "Excellent. Thank you very much for a fabulous set of starters. I use the 'weekenders' if the daily ones are not quite what I want. Brilliant and much appreciated." Comment recorded on the 28 September 'Starter of the Day' page by Malcolm P, Dorset: "A set of real life savers!! Comment recorded on the 7 December 'Starter of the Day' page by Cathryn Aldridge, Pells Primary: "I use Starter of the Day as a registration and warmup activity for my Year 6 class. The range of questioning provided is excellent as are some of the images. Comment recorded on the 1 May 'Starter of the Day' page by Phil Anthony, Head of Maths, Stourport High School: "What a brilliant website. We have just started to use the 'starteroftheday' in our yr9 lessons to try them out before we change from a high school to a secondary school in September. This is one of the best resources online we have found. The kids and staff love it. Well done an thank you very much for making my maths lessons more interesting and fun." Comment recorded on the 5 April 'Starter of the Day' page by Mr Stoner, St George's College of Technology: "This resource has made a great deal of difference to the standard of starters for all of our lessons. Thank you for being so creative and imaginative." Comment recorded on the 19 November 'Starter of the Day' page by Lesley Sewell, Ysgol Aberconwy, Wales: "A Maths colleague introduced me to your web site and I love to use it. The questions are so varied I can use them with all of my classes, I even let year 13 have a go at some of them. I like being able to access Starters for the whole month so I can use favourites with classes I see at different times of the week. Thanks." 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!!!" Comment recorded on the 26 March 'Starter of the Day' page by Julie Reakes, The English College, Dubai: "It's great to have a starter that's timed and focuses the attention of everyone fully. I told them in advance I would do 10 then record their percentages." 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!" 
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. 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. Geometry Toolbox: Create your own dynamic geometrical diagrams using this truly amazing tool from GeoGebra. 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. Geometry Toolbox: Create your own dynamic geometrical diagrams using this truly amazing tool from GeoGebra. In Terms of Pi: Circle related questions requiring the answer to include a multiple of pi rather than an approximation. 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. Circles Area and Circumference Video: The circumference and area of a circle can be found if the radius or diameter are known. 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 mathsloving 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 readydrawn 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: SearchThe activity you are looking for may have been classified in a different way from the way you were expecting. You can search the whole of Transum Maths by using the box below.
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Wednesday, January 9, 2019