geometrical gems secondary - mathematical association · tests to imaginary geometry “this is...
TRANSCRIPT
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Why maths?
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The framework
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Parallelograms
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Parallelograms
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Cavalieri’s Principle of Shearing
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Cavalieri’s Principle of Shearing
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Cavalieri’s Principle of Shearing
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Cavalieri’s Principle of Shearing
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Cavalieri’s Principle of Shearing
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Cavalieri’s Principle of Shearing
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Cavalieri’s Principle of Shearing
Design a parallelepiped with a volume of 240cm3
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Triangles
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Area game
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Mid-points
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The mid-point and quadrilaterals
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The Hoop Game
• Identifying circles
• Drawing circles
• Finding the centre of a circle
• Reconstructing circle pictures
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Circle Patterns
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Area of a circle
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Padlock Challenge
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Volume of a pyramid
Build a cube using a selection of the pyramids you have on your table.
This is the diagonal decomposition of a cube
How is it constructed?
What does it tell you about the volume of each pyramid?
http://www.thingiverse.com/thing:1266063
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Volume of a cone
What’s different and what’s the same about these two cones?
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Volume of a cone
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Say what you see!
Half the group need to turn around
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Say what you see!
Describe what you see to your partner. They have to reproduce this diagram exactly – but you can’t see what they are drawing!
Use words like…
square isosceles bisect
right-angle vertical
horizontal mid-point
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Perceptions
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Perceptions
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Am I a nerd or a geek?
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Am I a nerd or a geek?
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Cambridge Mathematics 1 Hills Road, Cambridge
United Kingdom CB1 2EU
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