
Visualising and representing
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problem
Fence it
If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?
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problem
Starting Fibonacci
What is the first term of a Fibonacci sequence whose second term is 4 and fifth term is 22?
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problem
Summing geometric progressions
Watch the video to see how to sum the sequence. Can you adapt the method to sum other sequences?
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problem
Kite in a square
Can you make sense of the three methods to work out what fraction of the total area is shaded?
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problem
Doing and undoing
An investigation looking at doing and undoing mathematical operations focusing on doubling, halving, adding and subtracting.
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problem
Hyperbolic thinking
Explore the properties of these two fascinating functions using trigonometry as a guide. -
problem
Constructing triangles
Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?
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gameFavourite
Snail one hundred
In this game, you throw a dice and move counters along the snail's body and in a spiral around the snail's shell. It is about understanding tens and ones.
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problem
Let us divide!
Look at different ways of dividing things. What do they mean? How might you show them in a picture, with things, with numbers and symbols?