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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?

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Diamond Collector

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

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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.

Exploring Simple Mappings

Age 11 to 14 Challenge Level:

The mapping below was created using the NRICH Number Plumber.

Click here to watch a video explaining how to use the Number Plumber.

Click on the mapping to explore the relationship between the function and its graph.

times 2, add three function machine

Now replace the 2 and 3 with other values. How does this affect the graph?

What happens when you try division instead of multiplication, or subtraction instead of addition?

Describe and explain any generalisations you make.