13-15 years old

e-Counter Plague

e-Counter Plague screenshot Imagine your school. Someone in your class comes in one morning with e-Counter Plague. Who will get it? Will everyone in the class? Or will some people be OK? How about other classes? Will it spread to them as well?

R0 and herd immunity

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Counter Plague and Reproductive Ratio

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Energy

conference logo

Preliminary questions and follow-up project work

What could be more important at the moment than Energy? In this conference, we will:

Is an asteroid going to hit us? What effect might it have?

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How far ...? How old ...? How much bigger ...?

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How far ... ? How old ... ? How much bigger ... ?

What is the chance of being hit by an asteroid?

Scientific notation

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How far ... ? How old ... ? How much bigger ... ?

Scientific notation

Planetary data

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How far ... ? How old ... ? How much bigger ... ?

Solar System data

Moons

How far ...? How old ...? How much bigger ...?

How far is it to our nearest star?
How long would it take us to reach it with our most powerful rockets?
What about our nearest galaxy?
What is the probability that there is life elsewhere in our galaxy?
How far can we see with the most powerful telescopes?
How old is the information we receive from them?
How much bigger is a person than an atom? How much bigger is the Milky Way than the Earth?
How much bigger is the gravitational pull of the Earth than that of the person next to you?

Project Work

Asteroid

Addition Material

Scientific Notations

Calculating how long it takes to reach Planets

Groups: Looking Beneath the Surface

Jenny Gage, University of Cambridge

What happens if you combine two symmetries of a particular regular polygon? Do you always get another symmetry?
How about if you do one symmetry followed by another? Does it make a difference if you do it the other way round?
How can the symmetries of a rectangle and the multiplication table for the numbers {1, 3, 5, 7} mod 8 be the same? And what does multiplication mod 8 mean anyway?

Project Work

What is a Group?

Combining Symmetries

Investigating Transformations

Dancing with Mathematics

Addition Material

Transformations Investigation Work 1

Transformations Investigation Work 2

Avalanche!

Jim McElwaine, University of Cambridge

More than a million avalanches happen throughout the world every year. Most fall harmlessly, but the largest can destroy whole towns and kill thousands of people. These projects help us try to understand snow avalanches, using simple experiments to model what happens. These projects were originally developed for a schools' video-conference led by Dr Jim McElwaine, and give students an opportunity to develop and test scientific and mathematical models by making predictions and testing them experimentally.

Project Work

Avalanche Experiments

Avalanches - safe route