The objectives of this activity are to develop a chain of reasoning and to understand the application of mathematical induction to proving divisibility. Students are given a set of cards. The cards have to be arranged in such a manner that they form the solution to a problem together with justification for their...

At Bishop Challoner Catholic College in Birmingham, a STEM project entitled “Rockets in Motion” took place during the autumn term of the 2010-2011 academic year. The project ran through a series of after-school sessions led jointly by the science, technology and...

This activity from the Nuffield Foundation shows students how to use a recurrence relation to work out how long it takes to pay off a credit card loan and how much it costs. They can use a graphic calculator or spreadsheet to do the working. After working through the given example, where a customer spends £1250 and...

This resource explains the check digit algorithm invented by Hans Luhn. This algorithm is widely used for both credit and debit cards to check small errors in the input of card numbers, using the final digit on the card as a check. 

The instructions clearly show how to apply the algorithm, and invites...

Students often seem uncomfortable when confronted with a science teacher talking about mathematics in a science lesson or a design and technology teacher talking about science in a design and technology lesson.

Karen...

The graph of a cubic function with three real roots is drawn. A circle is then drawn so that the circumference of the circle passes through two adjacent roots. A tangent to...

This interactive excel program enables students to investigate cubic functions and the relationship between the factorised form and the graph.

The first activities require the student to use the factor theorem to...

This resource is part of a collection of Nuffield Maths resources exploring Algebra. The demand is roughly equivalent to that in GCE A level.

In this resource students model data measuring how long caffeine from tea, coffee or cola stays in the human body’s bloodstream. This involves drawing graphs, then...

This resource is an introduction to conversion graphs and direct proportionality in the context of currency conversion, reading and plotting graphs and calculating gradients, including using a spreadsheet.

The resource is part of the Nuffield Maths Level 1 Foundation resource collection.

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

The materials are an introduction to conversion graphs and direct proportionality in the context of currency conversion,...

Five RISP starters revise ideas of polynomials and curve-sketching, cover expanding brackets, solving equations graphically, and knowing how to sketch the graphs of curves.

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This resource, from the Royal Institution, provides students with the opportunity to explore the formation of a parabola through a paper folding activity. Students follow a set of simple instructions which describe how to fold a piece of A4 paper and are asked to describe what shape is produced. The activity is...

Carom Maths provides this resource for teachers and students of A Level mathematics.

This presentation introduces the Reuleaux Triangle and shows how to construct a curve which has a constant width, as well as Barbier's Theorem and the Isoperimetric Inequality. Three dimensional shapes are also investigated...

Carom Maths provides this resource for teachers and students of A Level mathematics.

Cyclotomic polynomials are explained in this presentation, which uses a regular polygon to illustrate the complex roots of unity and establish which of those are primitive, before demonstrating some intriguing algebra.

This Mathematics Matters case study, from the Institute of Mathematics and its Applications, looks at how mathematical models try to understand the causes of rogue waves. These huge waves appear without warning, towering high over ships and oil rigs. Traditional mathematical models could not predict the occurrence...