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 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 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 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 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 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 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 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." Comment recorded on the 25 June 'Starter of the Day' page by Inger.kisby@herts and essex.herts.sch.uk, : "We all love your starters. It is so good to have such a collection. We use them for all age groups and abilities. Have particularly enjoyed KIM's game, as we have not used that for Mathematics before. Keep up the good work and thank you very much 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 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." 
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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