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Curve Sketching Feature

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.

 

Curve Hunter

Age 14 to 18
Challenge Level Yellow star
This problem challenges you to sketch curves with different properties.

Exploring Cubic Functions

Age 14 to 18
Challenge Level Yellow starYellow star
Quadratic graphs are very familiar, but what patterns can you explore with cubics?

Curve Fitter

Age 14 to 18
ShortChallenge Level Yellow starYellow star
This problem challenges you to find cubic equations which satisfy different conditions.

Curvy Equation

Age 16 to 18
Challenge Level Yellow starYellow star
This problem asks you to use your curve sketching knowledge to find all the solutions to an equation.

You may also like

Making Sense of Statistics

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

The Value of Working Systematically

These problems are best solved using systematic approaches.

Integration as Area

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

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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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