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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Functions & Graphs: Age 11-14

### Treasure Hunt

### Reflecting Lines

### Translating Lines

### How Steep Is the Slope?

### Parallel Lines

### Diamond Collector

### How Far Does it Move?

### Maths Filler

### Speeding Up, Slowing Down

### Route to Infinity

### Fill Me Up

### Up and Across

### Functions and Graphs - Short Problems

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

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Age 7 to 14

Challenge Level

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

Age 11 to 14

Challenge 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.

Age 11 to 14

Challenge Level

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

Age 11 to 14

Challenge 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?

Age 11 to 14

Challenge Level

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

Age 11 to 16

Challenge Level

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

Age 11 to 14

Challenge 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.

Age 11 to 14

Challenge Level

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

Age 11 to 14

Challenge 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.

Age 11 to 14

Challenge Level

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

Age 11 to 14

Challenge Level

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

Age 11 to 14

Challenge 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.

Age 11 to 16

A collection of short problems on straight line graphs.

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