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Number and algebra

  • The Number System and Place Value
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Probability and statistics

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Working mathematically

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Advanced mathematics

  • Decision Mathematics and Combinatorics
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For younger learners

  • Early Years Foundation Stage

Straight Line Graphs

How Steep Is the Slope?

Age 11 to 14
Challenge Level Yellow star

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?

At Right Angles

Age 14 to 16
Challenge Level Yellow starYellow star

Can you decide whether two lines are perpendicular or not? Can you do this without drawing them?

Parallel Lines

Age 11 to 14
Challenge Level Yellow star

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

Perpendicular Lines

Age 14 to 16
Challenge Level Yellow starYellow star

Position the lines so that they are perpendicular to each other. What can you say about the equations of perpendicular lines?

Diamond Collector

Age 11 to 16
Challenge Level Yellow star

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

Reflecting Lines

Age 11 to 14
Challenge Level Yellow star

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 14
Challenge Level Yellow star

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

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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