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Quadratic Equations

This interactive resource, produced by the University of Leicester, is designed to enable students to explore what is meant by a quadratic equation, the meaning of the coefficients of a quadratic equation and to be able to solve quadratic equations. An introduction page gives examples of where quadratic equations...

The Exponential Function

This interactive resource, produced by the University of Leicester, is designed to enable students to explore the nature of the exponential function and to explore the derivative of the exponential function.

An introduction page sets out some basic information about exponential functions leading to a...

Transformation of Functions

This interactive resource, produced by the University of Leicester, is designed to enable students to explore transformations of functions including translations, stretches, reflection in the axes and rotations.

The first activity uses function notation to explore translations parallel to the x axis and...

Transformation of Shapes

This interactive resource, produced by the University of Leicester, is designed to enable students to explore transformations of shapes including translation by a vector, stretches, rotations around a point, reflection in the axes and reflections in the lines y=x and y=-x.

The first activity draws a...

Vectors Introduction

This interactive resource, produced by the University of Leicester, is designed to enable students to explore vectors, beginning with the definition of a vector followed by the algebra of vectors and the scalar product. The opening slides of the presentation explain the difference between scalar and vector...

Travel Graphs

This interactive excel program covers distance/time and velocity/time graphs.

The first interactive sheet shows a distance/time graph made of line segments and some questions relating to speed for each segment and the time when velocity is zero. The second sheet shows the journeys of two people.

The...

Calculus: Graphing the First and Second Differentials

This excel program contains two interactive spreadsheets designed to explore the gradient functions of cubic and quadratic functions.

The first activity enables students to alter the coefficients in the function ax2+bx+c. The graph of the function and the graphs of the first and second differentials are...

Tetrahedron

This interactive file deals with various angles and lengths within tetrahedrons.

The first sheet shows the diagram of a regular tetrahedron. Various sides and angles need to be calculated using Pythagoras Theorem and trigonometry. The sides are to be given in surd form where necessary. The next sheet enables...

Geometric Series

This excel file allows students to explore the successive terms of a Geometric Series. The first term and the common ratio can be altered and the successive terms and sum of the series shown on bar charts. The formula for the sum of a Geometric Series is derived and the sum to infinity stated.

The last two...

Pascal's Triangle: Coins and nCr

This excel file shows how Pascal's triangle can be used to calculate probabilities. Separate sheets show the possible outcomes when different numbers of coins are tossed. With the smaller number of coins these outcomes are listed.

The first five lines of the binomial expansion (H+T)n is shown and this is...

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