Growing Surprises
Can you find the connections between linear and quadratic patterns?
Can you find the connections between linear and quadratic patterns?
Show that if you add 1 to the product of four consecutive numbers the answer is ALWAYS a perfect square.
Can you produce convincing arguments that a selection of statements about numbers are true?
Can you find the percentage increase if the results appear in code?
Surprising numerical patterns can be explained using algebra and diagrams...
In each of these games, you will need a little bit of luck and your knowledge of place value to develop a winning strategy.
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?