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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Curve Sketching Feature

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Curve Hunter

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Exploring Cubic Functions

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Curve Fitter

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Curvy Equation

## You may also like

### Making Sense of Statistics

### Integration as Area

Links to the University of Cambridge website
Links to the NRICH website Home page

Nurturing young mathematicians: teacher webinars

30 April (Primary), 1 May (Secondary)

30 April (Primary), 1 May (Secondary)

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Curve sketching can be a very useful tool when you are solving equations or inequalities, or for when you are wanting to find maximum or minimum values. The problems in this feature will offer you the opportunity to develop your skills in using this valuable tool.

To accompany these problems, this Plus article discusses how the cubic graph $y=x^3$ lies behind the hidden dome of St Paul's Cathedral. You might also like to watch this video from Plus about a very special curve.

You can watch a recording of the webinar in which we discussed the mathematical thinking which can be prompted by these problems.

Age 14 to 18

Challenge Level

This problem challenges you to sketch curves with different properties.

Age 14 to 18

Challenge Level

Quadratic graphs are very familiar, but what patterns can you explore with cubics?

Age 14 to 18

ShortChallenge Level

This problem challenges you to find cubic equations which satisfy different conditions.

Age 16 to 18

Challenge Level

This problem asks you to use your curve sketching knowledge to find all the solutions to an equation.

This collection of problems has been put together to help you to explore and understand important ideas in statistics.

These problems invite you to explore integration as area, and use area integrals to solve problems.