3-d geometry, shape and space

Squares and Cubes

conference logo What is a square? What is a cube? In the first session we will:

distinguish between squares and cubes
identify squares in various different sizes and orientations
play a game to reinforce these
use a pull-up net of a cube to help us to visualise which face of a cube is opposite to which from the net

The follow-up suggestions (below) include:

Project Work

Making Squares and other Shapes

More Pull-up Nets

Grids

Addition Material

Interactive ACTIVprimary Flipchart

More pull-up nets

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Squares and Cubes

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Squares and Cubes

Pull-up nets

Pull-up polyhedra

Paper folding

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Squares and Cubes

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Squares and Cubes

Making shapes

Always start with a piece of A sized paper - this could be any A size, depending on how large a shape you want..

Pattern and Shape

polyhdedra Patterns and shape

What makes these shapes special?
What are their names and where do their names come from?
Where do we find them in nature?

Project Work

Patterns and shapes

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Pattern and Shape

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Pattern and Shape

Archimedean polyhedra
Euler's formula
Hexominoes investigation

Ths project work is aimed at Key stage 3 students. It explores Celtic knots, the worksheet demonstrates how to draw Celtic knots. With your class research different celtic knots and try to tie them. Afterwards, using the method from the worksheet, try drawing them.

Project Work

Worksheet for Celtic knots

General relativity

Linked From:

Einstein's Theory of Relativity

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Einstein's Theory of Relativity

Straight lines
Parallel lines
Circles
Triangles

Einstein's Theory of Relativity

Students will be introduced to special relativity, and will look at the differences between Galileo's concept of motion and that used in special relativity. In the afternoon session, students will carry out practical investigations of the geometrical properties of curved surfaces. This conference has been offered in previous years, but will be further developed this year in the light of previous experience.

Project Work

Rotating a vector

The Lorentz transform and invariance

How does the motion of observers affect what they see?

Exploring the geometry of curved surfaces

Rotations in 3-dimensions

Linked From:

Complex Numbers and Matrices

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Rotations in 3-dimensions

If we want to extend the idea of using complex numbers for rotations to 3-dimensions, how do we need to extend the number system? The obvious answer might be to try something like:

Safe routes in the mountains

Linked From:

Avalanche!

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Avalanche!

Choosing a safe route

Can you find a safe route in the Swiss Alps? Do some research to find out what you should take into account.