Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...
Take a triangular number, multiply it by 8 and add 1. What is special about your answer? Can you prove it?
Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
Here are the six faces of a cube - in no particular order. Here are three views of the cube. Can you deduce where the faces are in relation to each other and record them on the net of this cube?
Can you find all the ways to get 15 at the top of this triangle of numbers? Many opportunities to work in different ways.
Let's go further and see what happens when we multiply two complex numbers together!
Explore the meaning of the scalar and vector cross products and see how the two are related.
There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?
