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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Functions and Graphs - Stage 3

### How Far Does it Move?

### Speeding Up, Slowing Down

### Up and Across

### Route to Infinity

### Parallel Lines

### Diamond Collector

### Treasure Hunt

### Maths Filler

### Reflecting Lines

### Translating Lines

### How Steep Is the Slope?

### Fill Me Up

### Lattice Points on a Line

### Graph Area

### Point in Between

### Linear Area

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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

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

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 14

Challenge Level

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

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 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

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

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

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

Can you find the area between this graph and the x-axis, between x=3 and x=7?

Age 11 to 14

ShortChallenge Level

Find the point on the line segment AB that is twice as far from B as it is from A.

Age 11 to 14

ShortChallenge Level

Find the area of the triangle enclosed by these lines.