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For younger learners

  • Early Years Foundation Stage

Trigonometry Feature

This feature showcases 8 problems all involving trigonometry.  When exploring these problems you will be asked to prove trigonometrical results, sketch graphs of trig functions and solve other problems involving trig.

The closing date for solutions to our live problems is Monday 17th April 2023.

Calculating with Cosines

Age 14 to 18
Challenge Level Yellow starYellow star
If I tell you two sides of a right-angled triangle, you can easily work out the third. But what if the angle between the two sides is not a right angle?

T for Tan

Age 16 to 18
Challenge Level Yellow star
Can you find a way to prove the trig identities using a diagram?

Trig Identity

Age 16 to 18
Challenge Level Yellow star
In this short challenge, can you use angle properties in a circle to figure out some trig identities?

Tangled Trig Graphs

Age 16 to 18
Challenge Level Yellow star
Can you work out the equations of the trig graphs I used to make my pattern?

Degree Ceremony

Age 16 to 18
Challenge Level Yellow star
Can you find the sum of the squared sine values?

Loch Ness

Age 16 to 18
Challenge Level Yellow starYellow star
Draw graphs of the sine and modulus functions and explain the humps.

Making Waves

Age 16 to 18
Challenge Level Yellow starYellow starYellow star
Which is larger cos(sin x) or sin(cos x) ? Does this depend on x ?

Tri-angled Trig

Age 16 to 18
Challenge Level Yellow starYellow starYellow star
Can you justify this equation involving three angles?

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Patterns in Number Sequences

These resources are designed to get you thinking about number sequences and patterns.

Reasoning Geometrically

These resources are designed to get you thinking about geometrical reasoning.

Reasoning with Numbers

These resources are designed to get you thinking about reasoning with numbers.

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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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