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problem
Painted faces
7 to 11
Imagine a 3 by 3 by 3 cube made of 9 small cubes. Each face of the large cube is painted a different colour. How many small cubes will have two painted faces? Where are they?
problem
Lengthy journeys
7 to 11
Investigate the different distances of these car journeys and find
out how long they take.
problem
Von Koch curve
16 to 18
Make a poster using equilateral triangles with sides 27, 9, 3 and 1 units assembled as stage 3 of the Von Koch fractal. Investigate areas & lengths when you repeat a process infinitely often.
problem
Presenting the project
7 to 11
Have a look at all the information Class 5 have collected about
themselves. Can you find out whose birthday it is today?
problem
Favourite
Who is the fairest of them all ?
11 to 14
Explore the effect of combining enlargements.
problem
Tessellating transformations
7 to 11
Can you find out how the 6-triangle shape is transformed in these
tessellations? Will the tessellations go on for ever? Why or why
not?
problem
Numbers as shapes
5 to 7
Use cubes to continue making the numbers from 7 to 20. Are they sticks, rectangles or squares?
problem
Favourite
2 rings
5 to 7
The red ring is inside the blue ring in this picture. Can you rearrange the rings in different ways? Perhaps you can overlap them or put one outside another?
problem
Summing squares
14 to 16
Discover a way to sum square numbers by building cuboids from small
cubes. Can you picture how the sequence will grow?