Starting with two basic vector steps, which destinations can you reach on a vector walk?
Can all unit fractions be written as the sum of two unit fractions?
Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.
Explore when it is possible to construct a circle which just touches all four sides of a quadrilateral.
I've made some cubes and some cubes with holes in. This challenge invites you to explore the difference in the number of small cubes I've used. Can you see any patterns?
Two boats travel up and down a lake. Can you picture where they will cross if you know how fast each boat is travelling?
Can you work out the equations of the trig graphs I used to make my pattern?
Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.
Can you decide whether two lines are perpendicular or not? Can you do this without drawing them?
