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Applying Pythagoras' Theorem

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by

Mr Mattock

on 5 June 2016

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Transcript of Applying Pythagoras' Theorem

Applying Pythagoras' Theorem
Starter
Draw a picture to illustrate this situation.
Main Activity
Choose at least 3 questions from the RAG grid to draw out and solve.

The best will complete all 9.
L.O. - To apply Pythagoras' Theorem to solve problems in 2 dimensions.
What assumptions would we make if we wanted to use mathematics to answer this question?
Main Activity 1
Red
Amber
Green
6.02 m
2123 m
17.0 cm
12 or 12.0 m
35 km
12 m (11.6)
Smallest = 111.9m
Largest = 164.0m
0.905 m
(a) 15 km
(b) 8 km
The picture shows a regular octagon of length 5 cm. By considering all of the shapes inside the octagon, find the area of the octagon.
The picture shows a regular octagon of length 5 cm. By considering all of the shapes inside the octagon, find the area of the octagon.
25
Length of triangle
= 3.5355.....
17.7
17.7
17.7
17.7
6.25
6.25
6.25
6.25
Total Area = 75 cm
2
Starter
Draw a picture to illustrate this situation.
What assumptions would we make if we wanted to use mathematics to answer this question?
Assume the water is still and horizontal, and the pier vertical. Assume the rope will be straight.
Assume no lateral displacement.
Pythagoras' Thereom
Example
Example
3 + 8

9 + 64

73 = 8.54400... = 9 metres
2
2
3.5 m
8 m
rope length
3.5 m
8 m
rope length
Example
Example
4.5 m
2.4 m
wall
4.5 - 2.4

20.25 - 5.76

14.49 = 3.8 metres
Key
Examples

Activities
Activity
Examples

Worked
Example

Worked
Example
Full transcript