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The Cross-ratio

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

This presentation looks at the theorem of cross-ratio, of four complex numbers, which is of great interest in a field of mathematics known as projective geometry and has an ancient history.

The activity is designed to...

Heather Distribution

This field study provides the opportunity for students to use ecological survey techniques and conduct investigations to understand how the environmental (abiotic) conditions in a habitat can affect the presence and distribution of organisms. The resource provides a practical investigation of the relationship...

Heathland Conservation and Management

The main aim of this resource is for students to understand some of the conflicts surrounding land use in the UK – particularly the conflicts between economic incentives, society, and environmental conservation. The resource also provides a practical introduction to the complexities of managing habitats, with a...

Heathlands and Roads

The main aim of this resource is for students to understand the impact that roads can have on heathland habitats, both in terms of anthropogenic nitrogen pollution and habitat fragmentation.

The resource provides practical, scientific investigations without the need to organise a field trip. The...

Nitrogen Deposition and Heathlands

The main aim of this resource is for students to understand the impacts of anthropogenic nitrogen pollution on heathland plant communities. The resource provides practical, scientific investigations without the need to organise a field trip.

The resource is divided into three separate activities:
*...

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...

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