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Starter 3 cm 4 cm 5 cm Find the areas of the squares 5 minutes

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16 cm 2 9 cm 2 25 cm 2 a b c What do you notice about the areas of the squares So what did Pythagoras say: He said that : a 2 + b 2 = c 2 For any right angle triangle, the sum of the areas of the two small squares is equal to the area of the larger. Pythagoras

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WILF: Make sure to draw you margins with a ruler! GRADE C: I can use Pythagoras to work out all sides on a right angle triangle WALT: Using Pythagoras Theorem Keywords: Pythagorass theorem, square, square root, add, subtract, right- angled triangle. GRADE B: I can solve worded problems including Pythagorass theorem

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Label the sides on all of these triangles. Mini-Plenary WILF: GRADE C: I can use Pythagorass to work out all sides on a right angle triangle GRADE B: I can solve worded problems including Pythagorass theorem WALT: Using Pythagoras Theorem Keywords: Pythagorass theorem, square, square root, add, subtract, right-angled triangle.

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WALT: Using Pythagoras Theorem Keywords: Pythagorass theorem, square, square root, add, subtract, right-angled triangle. WILF: GRADE C: I can use Pythagorass to work out all sides on a right angle triangle GRADE B: I can solve worded problems including Pythagorass theorem Finding the length of the longest side x 8cm 6cm

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WILF: GRADE C: I can use Pythagorass to work out all sides on a right angle triangle GRADE B: I can solve worded problems including Pythagorass theorem WALT: Using Pythagoras Theorem Keywords: Pythagorass theorem, square, square root, add, subtract, right-angled triangle. 3cm 4cm x Finding the length of the longest side

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WILF: GRADE C: I can use Pythagorass to work out all sides on a right angle triangle GRADE B: I can solve worded problems including Pythagorass theorem 12cm 7cm x WALT: Using Pythagoras Theorem Keywords: Pythagorass theorem, square, square root, add, subtract, right-angled triangle. Finding the length of the shorter side

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WILF: GRADE C: I can use Pythagorass to work out all sides on a right angle triangle GRADE B: I can solve worded problems including Pythagorass theorem WALT: Using Pythagoras Theorem Keywords: Pythagorass theorem, square, square root, add, subtract, right-angled triangle. 23mm 15mm x Finding the length of the shorter side

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25cm 60cm 19m 14m 5cm 11cm Calculate the length of the missing side to 1 d.p. when needed. 12mm 13mm 3cm 6cm Answer = 6.7cm Answer = 9.8cm Answer = 23.6m Answer = 5mm Answer = 65cm 10 minutes

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WILF: GRADE C: I can use Pythagorass to work out all sides on a right angle triangle GRADE B: I can solve worded problems including Pythagorass theorem WALT: Using Pythagoras Theorem Keywords: Pythagorass theorem, square, square root, add, subtract, right-angled triangle. Practice Question 5cm Calculate the length of the diagonal of this square.

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Answer = 8.5cm Calculate the length of the diagonal of this square. 6cm 10cm Calculate the length of the diagonal of this square.

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10cm 8cm Answer = 12cm

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10cm 9cm Answer = 12cm 10cm 8cm

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A boat travels 45 miles east then 60 miles north, how far is it from where it started? Answer = 75miles

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A boat travels 75 miles east then 100 miles north, how far is it from where it started? (hint: draw a diagram) Answer = 75miles

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A ladder is 5 metres long. Bob (the builder) places it against a wall so that it reaches up 4 metres. What is the distance from the base of the ladder to the wall?

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A 5 metre ladder is positioned 3.2 metres away from a vertical building wall. Will the ladder reach a window which is 4 metres from the ground? Show your working. x 2 = 5 2 - 3.2 2 x 2 = 25 10.24 x = 14.76 x = 3.8m (1.d.p.) So the ladder will not reach

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WALT: Using Pythagoras Theorem Keywords: Pythagorass theorem, square, square root, add, subtract, right-angled triangle. WILF: GRADE C: I can use Pythagorass to work out all sides on a right angle triangle GRADE B: I can solve worded problems including Pythagorass theorem Treasure Hunt