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For younger learners

  • Early Years Foundation Stage

Plotting Graphs

Plotting Graphs

You can often learn a lot about a function by sketching its graph. The problems in this feature lend themselves to graph sketching, or exploration using software such as GeoGebra or Desmos. We hope that by working through them, you will have a clearer understanding of functions and their graphs.

Curve Match 
Age 16 to 18
Challenge Level Yellow star

Which curve is which, and how would you plan a route to pass between them?

Sketching Graphs - Transformations 
Age 16 to 18
Challenge Level Yellow star

If you can sketch y=f(x), there are several related functions you can also sketch...

Loch Ness 
Age 16 to 18
Challenge Level Yellow starYellow star

Draw graphs of the sine and modulus functions and explain the humps.

Whose Line Graph Is it Anyway? 
Age 16 to 18
Challenge Level Yellow star

Which line graph, equations and physical processes go together?

Related

  • Coordinate Geometry and Graphs
  • Algebra and Functions
  • Algebra and Functions A2
  • Advanced Problem Solving Module 11

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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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