problem

### Treasure Hunt

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

problem

### How far does it move?

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.

problem

### Parallel lines

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

problem

### Reflecting 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.

problem

### Translating Lines

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

problem

### How steep is the slope?

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?

problem

### Speeding up, slowing down

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

problem

### Route to infinity

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

problem

### Fill Me Up

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

problem

### Up and across

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.

Image

Y

*ou may also be interested in this collection of activities from the STEM Learning website, that complement the NRICH activities above.*