Geometrical Gems secondary - Mathematical Association · tests to imaginary geometry “This is...
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Transcript of Geometrical Gems secondary - Mathematical Association · tests to imaginary geometry “This is...
Why maths?
The framework
Parallelograms
Parallelograms
Cavalieri’s Principle of Shearing
Cavalieri’s Principle of Shearing
Cavalieri’s Principle of Shearing
Cavalieri’s Principle of Shearing
Cavalieri’s Principle of Shearing
Cavalieri’s Principle of Shearing
Cavalieri’s Principle of Shearing
Design a parallelepiped with a volume of 240cm3
Triangles
Area game
Mid-points
The mid-point and quadrilaterals
The Hoop Game
• Identifying circles
• Drawing circles
• Finding the centre of a circle
• Reconstructing circle pictures
Circle Patterns
Area of a circle
Padlock Challenge
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
Volume of a cone
What’s different and what’s the same about these two cones?
Volume of a cone
Say what you see!
Half the group need to turn around
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
Perceptions
Perceptions
Am I a nerd or a geek?
Am I a nerd or a geek?
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