This collection features resources produced by Shirley Fall designed to enable high ability GCSE students to explore further mathematical topics beyond the scope of the syllabus thus bridging the gap between GCSE and AS level. The resources could also be used as...

Climate change has increased heat waves and drought on land, and doubled the probability of marine heatwaves around most of Africa. This resource contains a PowerPoint presentation, a graphing skills activity drawing and interpreting line graphs and a spreadsheet containing data. This is a good source of material...

A challenge testing mathematical, communication and teamwork skills.

• Senior Mathematics challenge

This resource is part of a collection of Nuffield Maths resources that explore Algebra and Maths. The demand is roughly equivalent to that in Higher Level GCSE and Level 2 Functional Mathematics.

In Factor Cards, learners practise expanding brackets and/or factorising quadratic expressions.

This resource contains two interactive excel programs which enable students to investigate cubic functions and the relationship between the factorised form and the graph.

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In this resource from the DfE Standards Unit, students learn to associate x-intercepts with finding values of x such that f (x) = 0, sketch graphs of cubic functions, find linear factors of cubic functions and develop efficient strategies when factorising cubic functions. Students should have some familiarity with...

These PowerPoint presentations from MEI demonstrate a variety of methods which can be used to factorise polynomials. The techniques include factorising cubics and quartics by inspection; using a table and algebraic long division.

This Mathematics Matters case study looks at how Formula One teams use mathematical methods such as fluid mechanics and Navier-Stokes equations to improve performance. Every second counts in the fast-paced world of Formula One, so race teams use advanced mathematics to squeeze the best performance out of their cars...

This mathematical activity provides students with the opportunity to solve a realistic animal care problem and become active problem-solvers. Students are encouraged to make a mathematical model of a real-life situation, identifying and incorporating relevant factors, obtain information relevant to the problem,...

This resource provides examples of solving problems using Fermi Estimates. These examples are similar to the ones covered in the resource "Estimates From Limited Data". The tasks may be suitable for group and internet access may be beneficial.

This resource contains a short presentation which introduces three problems where approximate solutions can be calculated.

The first activity asks students to use Fermi estimation to calculate the quantity of tea used in China in a three month period. Students are also invited to calculate an estimate of the...

A Fermi problem involves making estimates and using mathematics to answer a question, in more colloquial language they might be termed ‘back of envelope’ calculations.

Many of the questions don’t have clear cut answers, and sometimes alternative paths to solutions are possible.

The level of...