# Functions & Graphs: Age 11-14

This is part of our Secondary Curriculum collection of favourite rich tasks arranged by topic.

### Treasure Hunt

##### Age 7 to 14Challenge Level

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

### Reflecting Lines

##### Age 11 to 14Challenge Level

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.

### Translating Lines

##### Age 11 to 14Challenge Level

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

### How Steep Is the Slope?

##### Age 11 to 14Challenge Level

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?

### Parallel Lines

##### Age 11 to 14Challenge Level

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

### Diamond Collector

##### Age 11 to 16Challenge Level

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

### How Far Does it Move?

##### Age 11 to 14Challenge Level

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.

### Maths Filler

##### Age 11 to 14Challenge Level

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

### Speeding Up, Slowing Down

##### Age 11 to 14Challenge Level

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

### Route to Infinity

##### Age 11 to 14Challenge Level

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

### Fill Me Up

##### Age 11 to 14Challenge Level

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

### Up and Across

##### Age 11 to 14Challenge Level

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.

### Functions and Graphs - Short Problems

##### Age 11 to 16

A collection of short problems on straight line graphs.

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