Pythagoras Starters:Bizarre Triangle: By how much would the area of this triangle increase if its base was enlarged to 8cm? Red Lines: Either estimate the lengths of the red lines or, if you know how, calculate how long they are. Square Thinkers: Can you find three square numbers where the third is the sum of the first two?
Small images of these Starters    Complete Index of Starters
Curriculum for Pythagoras:Years 7 to 9Pupils should be taught to apply angle facts, triangle congruence, similarity and properties of quadrilaterals to derive results about angles and sides, including Pythagoras’ Theorem, and use known results to obtain simple proofs more... Pupils should be taught to use Pythagoras’ Theorem and trigonometric ratios in similar triangles to solve problems involving rightangled triangles more... Years 10 and 11Pupils should be taught to apply Pythagoras’ Theorem and trigonometric ratios to find angles and lengths in rightangled triangles {and, where possible, general triangles} in 2 {and 3} dimensional figures more... Feedback: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 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 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 17 June 'Starter of the Day' page by Mr Hall, Light Hall School, Solihull: "Dear Transum, Comment recorded on the 21 October 'Starter of the Day' page by Mr Trainor And His P7 Class(All Girls), Mercy Primary School, Belfast: "My Primary 7 class in Mercy Primary school, Belfast, look forward to your mental maths starters every morning. The variety of material is interesting and exciting and always engages the teacher and pupils. Keep them coming please." 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 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!" 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 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 6 May 'Starter of the Day' page by Natalie, London: "I am thankful for providing such wonderful starters. They are of immence help and the students enjoy them very much. These starters have saved my time and have made my lessons enjoyable." 
Notes:Pythagoras was a Greek philosopher, mathematician, and founder of the religious movement called Pythagoreanism. He is most famous for his theorem connecting the lengths of the sides of right angled triangles. Pythagoras Activities:Pythagoras: An online exercise to test your understanding of and ability to apply Pythagoras' Theorem. Pythagoras Basics: A drill and practice self marking exercise on the basics of Pythagoras' theorem. Where's Wallaby?: Find the hidden wallaby using the clues revealed at the chosen coordinates. Alternatively, for the more advanced student, there is an evergrowing collection of ExamStyle Questions with worked solutions on the topic of Pythagoras. Pythagoras Videos:A Mathematical Fable: It's not just the squares on the sides of right angles triangles that add up! Pythagoras' Theorem: Pythagoras' Theorem waterproved (made in Switzerland) Trigonometry and Pythagoras: A trigonometry and Pythagoras theorem revision song Pythagoras External Links:Links to other websites containing resources for Pythagoras 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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