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For younger learners

  • Early Years Foundation Stage

Digging Deeper Into Quadratics

Digging Deeper into Quadratics

A quadratic is a function that you meet time and time again, but have you ever wondered why one quadratic looks different from another? The resources below encourage you to think more deeply about the features of quadratic expressions, equations and their related graphs and how these vary.

Factorisable Quadratics 
Age 16 to 18

This will encourage you to think about whether all quadratics can be factorised and to develop a better understanding of the effect that changing the coefficients has on the factorised form.

Which Quadratic? 
Age 16 to 18

In this activity you will need to work in a group to connect different representations of quadratics.

Powerful Quadratics 
Age 16 to 18

This comes in two parts, with the first being less fiendish than the second. It’s great for practising both quadratics and laws of indices, and you can get a lot from making sure that you find all the solutions. For a real challenge (requiring a bit more knowledge), you could consider finding the complex solutions.

Discriminating 
Age 16 to 18

You're invited to decide whether statements about the number of solutions of a quadratic equation are always, sometimes or never true.

Related

  • Creating and Manipulating Linear and Quadratic Expressions - Stage 4
  • Polynomials
  • Coordinate Geometry and Graphs

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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.

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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