Using Pythagoras’ Theorem

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Presentation transcript:

Using Pythagoras’ Theorem Level 7 Longest side Shorter side Step 1: Square Step 1: Square Step 2: Add Step 2: Subtract Step 3: Square Root Step 3: Square Root Example 1 Example 3 x 12cm 7cm x 9cm 7cm 1. 2. 3. 1. 2. 3. Example 2 Example 4 x 23mm 4cm 15mm x 8cm 1. 2. 3. 1. 2. 3.

Using Pythagoras’ Theorem Demonstrate – Using Pythagoras’ Theorem Rally Coach For each of the following triangles, calculate the length of the missing side, giving your answers to one decimal place when needed. 19m 14m 1 2 5cm 11cm 3 3cm 6cm Level 7 4 5 6 12mm 13mm 25cm 60cm 1.5cm 1.1cm 7 Calculate the length of the diagonal of this square. 8 If a right angle has short lengths 14cm and 8cm, what is the length of the longest side. 6cm 10 9 Calculate the height of this isosceles triangle. Calculate the base of this isosceles triangle. 12cm 12cm Level 8 10cm 10cm 8cm 8cm I can find missing sides on a right-angled triangle using Pythagoras’ Theorem:

Consolidate – Pythagoras’ Theorem Each team-mate has a different real – life problem. On your own solve each of these problems. Once you completed, swap with the other pupils on your table and give feedback each others answers Level 8 Real Life Problem 1 A boat travels 45 miles east then 60 miles north, how far is it from where it started? (hint: draw a diagram) Answer=_______ I can solve problems using Pythagoras’ Theorem: Consolidate – Pythagoras’ Theorem Each team-mate has a different real – life problem. On your own solve each of these problems. Once you completed, swap with the other pupils on your table and give feedback each others answers Level 8 Real Life Problem 2 A swimming pool is 25m by 12m, if someone swam from one corner to the other, how far would they have swam? (hint: draw a diagram) Answer=_______ I can solve problems using Pythagoras’ Theorem:

Consolidate – Pythagoras’ Theorem Each team-mate has a different real – life problem. On your own solve each of these problems. Once you completed, swap with the other pupils on your table and give feedback each others answers Level 8 Real Life Problem 3 A ladder which is 4m long leans against a wall, the bottom of the ladder is 1.5m from the bottom of the wall, how high up the wall does the ladder go? (hint: draw a diagram) Answer=_______ I can solve problems using Pythagoras’ Theorem: Consolidate – Pythagoras’ Theorem Each team-mate has a different real – life problem. On your own solve each of these problems. Once you completed, swap with the other pupils on your table and give feedback each others answers Level 8 Real Life Problem 4 A rope of length 10m is stretched from the top of a pole 3m high until it reaches the ground. How far is the end of the rope to the base of the pole. (hint: draw a diagram) Answer=_______ I can solve problems using Pythagoras’ Theorem: