This activity is based on data in the book 'If the World Were a Village'. How will you represent your chosen data for maximum effect?
One block is needed to make an up-and-down staircase, with one step up and one step down. How many blocks would be needed to build an up-and-down staircase with 5 steps up and 5 steps down?
Surprising numerical patterns can be explained using algebra and diagrams...
Show that if you add 1 to the product of four consecutive numbers the answer is ALWAYS a perfect square.
Can you find the connections between linear and quadratic patterns?
Can you find ways to make twenty-link chains from these smaller chains? This gives opportunities for different approaches.
Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?
Write the numbers up to 64 in an interesting way so that the shape they make at the end is interesting, different, more exciting ... than just a square.
