Square Number Surprises
There are unexpected discoveries to be made about square numbers...
There are unexpected discoveries to be made about square numbers...
Can you see how to build a harmonic triangle? Can you work out the next two rows?
The illustration shows the graphs of fifteen functions. Two of them have equations $y=x^2$ and $y=-(x-4)^2$. Find the equations of all the other graphs.
Starting with two basic vector steps, which destinations can you reach on a vector walk?
Charlie likes to go for walks around a square park, while Alison likes to cut across diagonally. Can you find relationships between the vectors they walk along?
Can you work out which spinners were used to generate the frequency charts?
Watch the video to see how to sum the sequence. Can you adapt the method to sum other sequences?
What does this number mean? Which order of 1, 2, 3 and 4 makes the highest value? Which makes the lowest?
Can you work out the equations of the trig graphs I used to make my pattern?