Functions and Graphs

Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects the distance it travels 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?

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.

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?

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

Can you describe this route to infinity? Where will the arrows take you next?

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

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