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Starter. Jane is 40. Chris is 10. Chris is ¼ of Jane’s age. In 5 years time, Jane is 45, Chris is 15. Chris is 1/3 of Jane’s age. In another 15 years time, Jane is 60, Chris is 30. He’s now only ½ her age. At what point will Chris overtake Jane? http://www.youtube.com/watch?v=4xpTjMhdIA0.

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  1. Starter • Jane is 40. Chris is 10. Chris is ¼ of Jane’s age. • In 5 years time, Jane is 45, Chris is 15. Chris is 1/3 of Jane’s age. • In another 15 years time, Jane is 60, Chris is 30. He’s now only ½ her age. • At what point will Chris overtake Jane? • http://www.youtube.com/watch?v=4xpTjMhdIA0

  2. Pythagoras’ Theorem Level 7 Grade C 25/08/2014 Learning Objectives: Be able to label a right angled triangle Be able to use Pythagoras to find the hypotenuse Able to apply to worded problems

  3. Pythagoras’ Theorem KEY WORD: Hypotenuse: The longest side on a right angled triangle • Found opposite the right angle.

  4. Pythagoras’ Theorem c hypotenuse hypotenuse c b c hypotenuse a b b a a Which of these sides is the hypotenuse?

  5. Pythagoras’ Theorem • Complete the Pythagoras’ Theorem worksheet

  6. Pythagoras’ Theorem • http://www.mymaths.co.uk/tasks/library/loadLesson.asp?title=pythagoras/pythagorasTheorem • http://www.youtube.com/watch?v=hbhh-9edn3c • c2 = a2 + b2

  7. Pythagoras’ Theorem • Find the length of the hypotenuse. c2 = a2 + b2 c2 = 152 + 232 c2 = 225 + 529 c2 = 754 c = √754 c = 27.46cm c 15cm 23cm

  8. Pythagoras’ Theorem • Find the hypotenuse of the following triangle. Round your answer to 2dp. c2 = a2 + b2 c2 = 82 + 112 c2 = 64 + 121 c2 = 185 c = √185 c = 13.60cm 11cm 8cm c

  9. Which of the sides in these triangles is the hypotenuse? a a c c b b Calculate the length of c. c 5cm 12cm

  10. Pythagoras’ Theorem Grade C 25/08/2014 Learning Objectives: Be able to label a right angled triangle Be able to use Pythagoras to find the hypotenuse Able to apply to worded problems

  11. Pythagoras’ Theorem • On your whiteboards, find the hypotenuse of the following. Round your answers to 2dp where necessary. c 18cm 4m

  12. Pythagoras’ Theorem • On your whiteboards, find the hypotenuse of the following. Round your answers to 2dp where necessary. 13cm c 10cm

  13. Pythagoras’ Theorem Exercise 26A, pages 551 – 552 Q1 – 9 Sketch the triangles and show your working out

  14. Plenary • A plane flies due north for 180km, then due west for 260km. How far is the plane from it’s starting position? Draw and label a triangle to represent the situation Write out the formula you’d use to answer the question Find the distance

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