 Complete lesson on 3D Pythagoras

Includes:
> How many right angled triangles can you spot in this cuboid?
(Really good investigation starter that helps the students visualise the triangles and is afl for your next task)
Full solution provided including on the diagram.
> Examples to work through - starting with 2D Pythagoras on a 3D shape and progressing.
> 2 options for worksheet.
Option 1 - Starts with 2 questions on 2D Pythagoras on a 3D shape
- Then 2 3D Pythagoras questions finding the hypotenuse
- Then a 3D Pythagoras question finding a shorter side
- Then a "find the height" of the pyramid question
- Then find the side length of the cube given the diagonal question
Option 2 - Same questions as option 1 but the triangles are drawn for the students. Firstly with measurements and then without.
> Further extension - design your own question with model answer and mark scheme for both a cuboid and a pyramid. Template sheet provided for students to work on.
> Full solutions (same for both sheets)
> Plenary - showing the 3D Pythagoras formula and where it comes from
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### Info

Created: Nov 22, 2016

Updated: Feb 22, 2018

#### Worksheet

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3D-Pythagoras-support-worksheet

#### Worksheet

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3D-Pythagoras-worksheet

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3D-Pythagoras

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