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For younger learners

  • Early Years Foundation Stage

Integration as Area

Integration as area

Integration can be conceptualised in several different ways, including limits of sums, the inverse of differentiation, and in terms of area under curves. These resources will help you to understand integration as area, and to see some of the different applications it offers.

Integration Matcher 
Age 16 to 18
Challenge Level Yellow star

Can you match the charts of these functions to the charts of their integrals?

Curved Square 
Age 16 to 18
Challenge Level Yellow star

Can you find the area of the central part of this shape? Can you do it in more than one way?

What's Your Mean? 
Age 16 to 18
Challenge Level Yellow star

Can you work out the means of these distributions using numerical methods?

Brimful 
Age 16 to 18
Challenge Level Yellow starYellow star

Can you find the volumes of the mathematical vessels?

Related

  • Perimeter, Area and Volume - Stage 4
  • Differentiation and Integration
  • Differentiation and Integration A2

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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.

Visualising and Representing Complex Numbers

What are complex numbers, and how can we represent them?

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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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