In this problem we are faced with an apparently easy area problem, but it has gone horribly wrong! What happened?

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.

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

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.

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

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

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

How many intersections do you expect from four straight lines ? Which three lines enclose a triangle with negative co-ordinates for every point ?

Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?

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?

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

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.

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

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?

Can you sketch graphs to show how the height of water changes in different containers as they are filled?

A collection of short Stage 3 and 4 problems on straight line graphs.

How many lattice points are there in the first quadrant that lie on the line 3x + 4y = 59 ?