Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects the distance it travels at each stage.

Can you decide whether two lines are perpendicular or not? Can you do this without drawing them?

Collect as many diamonds as you can by drawing three straight lines.

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects its vertical and horizontal movement at each stage.

Position the lines so that they are perpendicular to each other. What can you say about the equations of perpendicular lines?

You can move the 4 pieces of the jigsaw and fit them into both outlines. Explain what has happened to the missing one unit of area.

How does the position of the line affect the equation of the line? What can you say about the equations of parallel lines?

Follow the instructions and you can take a rectangle, cut it into 4 pieces, discard two small triangles, put together the remaining two pieces and end up with a rectangle the same size. Try it!

On the grid provided, we can draw lines with different gradients. How many different gradients can you find? Can you arrange them in order of steepness?

I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?

How far have these students walked by the time the teacher's car reaches them after their bus broke down?

Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.

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.

Logo helps us to understand gradients of lines and why Muggles Magic is not magic but mathematics. See the problem Muggles magic.