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This zip file contains supporting interactive resources to accompany the self-study booklet "Euclidean Geometry".
These resources have been created by Rich Cochrane and Andrew McGettigan (Central Saint Martins, UAL) and reviewed by Prof Jeremy Gray (Open University). They were funded by a sigma Resource Development grant and contributed to the mathcentre Community Project.

Designed for self-study, this drawing-led introduction to the geometry of Euclid takes the learner from first principles through to constructions and mathematical proofs as well as covering practical applications of the techniques learnt in art and design. It concludes with a study of the pentagon, golden ratio and their surprising mathematical interconnection. The resources comprise a 100-page booklet and supporting interactive resources. These resources have been created by Rich Cochrane and Andrew McGettigan (Central Saint Martins, UAL) and reviewed by Prof Jeremy Gray (Open University). They were funded by a sigma Resource Development grant and contributed to the mathcentre Community Project.

IPOD VIDEO:
In this unit we find the equation of a circle, when we are told its centre and its radius. There are two different forms of the equation, and you should be able to recognise both of them. We also look at some problems involving tangents to circles.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

IPOD VIDEO:
In this unit we find the equation of a circle, when we are told its centre and its radius. There are two different forms of the equation, and you should be able to recognise both of them. We also look at some problems involving tangents to circles.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

IPOD VIDEO:
In this unit we find the equation of a circle, when we are told its centre and its radius. There are two different forms of the equation, and you should be able to recognise both of them. We also look at some problems involving tangents to circles.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

IPOD VIDEO:
In this unit we find the equation of a circle, when we are told its centre and its radius. There are two different forms of the equation, and you should be able to recognise both of them. We also look at some problems involving tangents to circles.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

IPOD VIDEO: In this unit we find the equation of a circle, when we are told its centre and its radius. There are two different forms of the equation, and you should be able to recognise both of them. We also look at some problems involving tangents to circles.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

In this unit we find the equation of a circle, when we are told its centre and
its radius. There are two different forms of the equation, and you should be
able to recognise both of them. We also look at some problems involving
tangents to circles. (Mathtutor Video Tutorial)

In this unit we find the equation of a circle, when we are told its centre and
its radius. There are two different forms of the equation, and you should be
able to recognise both of them. We also look at some problems involving
tangents to circles. (Mathtutor Video Tutorial)

In this unit we find the equation of a circle, when we are told its centre and
its radius. There are two different forms of the equation, and you should be
able to recognise both of them. We also look at some problems involving
tangents to circles.

This extension video mathstutor shows practical applications of parabolas such as the transmission of radio waves. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

This extension video mathstutor discusses Newton's second law of motion. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

In this mathtutor extension video, Stuart Price explains the concepts of fractal geometry and illustrates a number of practical applications. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

This mathtutor extention video explores the surface area to volume ratios of animals through cubes and some applications of this mathematical modelling. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Keith Robinson discusses how he uses numbers in his role as a creator of animation graphics in this mathstutor extention video. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

This extension video mathstutor shows how mathematical modelling and simulation is used to model animal movements, for example ant colonies, and how predictions may be made based on this data. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

A vector is a quantity that has both a magnitude (or size) and a direction. Both of these properties must be given in order to specify a vector completely. In this unit we describe how to write down vectors, how to add and subtract them, and how to use them in geometry.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

A vector is a quantity that has both a magnitude (or size) and a direction. Both of these properties must be given in order to specify a vector completely. In this unit we describe how to write down vectors, how to add and subtract them, and how to use them in geometry.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

A vector is a quantity that has both a magnitude (or size) and a direction. Both of these properties must be given in order to specify a vector completely. In this unit we describe how to write down vectors, how to add and subtract them, and how to use them in geometry.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

A vector is a quantity that has both a magnitude (or size) and a direction. Both of these properties must be given in order to specify a vector completely. In this unit we describe how to write down vectors, how to add and subtract them, and how to use them in geometry.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

A vector is a quantity that has both a magnitude (or size) and a direction.
Both of these properties must be given in order to specify a vector
completely. In this unit we describe how to write down vectors, how to add
and subtract them, and how to use them in geometry. (Mathtutor Video Tutorial)
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

A vector is a quantity that has both a magnitude (or size) and a direction.
Both of these properties must be given in order to specify a vector
completely. In this unit we describe how to write down vectors, how to add
and subtract them, and how to use them in geometry. (Mathtutor Video Tutorial)
The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

In this unit we find the gradient of a straight line segment, and the
relationships between the gradients of parallel lines and of perpendicular
lines.
(Mathtutor Video Tutorial)
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

In this unit we find the gradient of a straight line segment, and the
relationships between the gradients of parallel lines and of perpendicular
lines.
(Mathtutor Video Tutorial)
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

In this unit we use a system of co-ordinates to find various properties
of the straight line between two points. We find the distance between the two
points and the mid-point of the line joining the two points.
(Mathtutor Video Tutorial)
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

In this unit we use a system of co-ordinates to find various properties
of the straight line between two points. We find the distance between the two
points and the mid-point of the line joining the two points.
(Mathtutor Video Tutorial)
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.