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...

This article explores...

This Catalyst article investigates how scientists make images using colours to represent electromagnetic radiations which humans cannot see. Human eyes detect visible light, just a small region in the electromagnetic spectrum. Using scientific instruments, many other types of radiation can be detected. Different...

A Catalyst article about encountering the fossils of the bones or shells of individual animals embedded in sedimentary rocks. This article looks at some extraordinary fossils of plants and animals preserved together in an ecosystem - it is even possible to see the cells of which they were made. The article also...

This Catalyst article looks at the use of polymers in the manufacture of household items. The exciting thing about polymers is that it is possible to make polymers behave in so many different ways by organising their long chain molecules in different ways – polymers are the ultimate designer material. The article...

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...

Fat is essential. In these articles we get to grips with the world of fats and lipids to find out what they do, not just inside us and other organisms but also understand our dependence on fats and relationship with the world around us.

A Catalyst article investigating a few of the uses of naturally occurring oils. These oils are extracted from animal fats or plant seeds and can be turned into a variety of compounds including soaps, fuel and margarine. The article looks at oils as fuels, their use in paint and detergents and problems with their...

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 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...

This question asks us to consider a person opening a burger bar, doing all of the cooking themselves, and then estimate how much space should they rent?

The main topics required are rates (number of burgers per hour that one person could cook, number of customers per hour), and areas.