# Geometry resources

### iPOD Video (23)

Conic Sections Part 1

IPOD VIDEO:
In this unit we study the conic sections. These are the curves obtained when a cone is cut by a plane. We find the equations of one of these curves, the parabola, by using an alternative description in terms of points whose distances from a fixed point and a fixed line are equal. We also find the equation of a tangent to a parabola using techniques from calculus, and we use this to prove the reflective property of the parabola.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Conic Sections Part 2

IPOD VIDEO:
In this unit we study the conic sections. These are the curves obtained when a cone is cut by a plane. We find the equations of one of these curves, the parabola, by using an alternative description in terms of points whose distances from a fixed point and a fixed line are equal. We also find the equation of a tangent to a parabola using techniques from calculus, and we use this to prove the reflective property of the parabola.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Conic Sections Part 3

IPOD VIDEO:
In this unit we study the conic sections. These are the curves obtained when a cone is cut by a plane. We find the equations of one of these curves, the parabola, by using an alternative description in terms of points whose distances from a fixed point and a fixed line are equal. We also find the equation of a tangent to a parabola using techniques from calculus, and we use this to prove the reflective property of the parabola.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Conic Sections Part 4

IPOD VIDEO:
In this unit we study the conic sections. These are the curves obtained when a cone is cut by a plane. We find the equations of one of these curves, the parabola, by using an alternative description in terms of points whose distances from a fixed point and a fixed line are equal. We also find the equation of a tangent to a parabola using techniques from calculus, and we use this to prove the reflective property of the parabola.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Conic Sections Part 5

IPOD VIDEO:
In this unit we study the conic sections. These are the curves obtained when a cone is cut by a plane. We find the equations of one of these curves, the parabola, by using an alternative description in terms of points whose distances from a fixed point and a fixed line are equal. We also find the equation of a tangent to a parabola using techniques from calculus, and we use this to prove the reflective property of the parabola.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Equations of a Straight Line Part 1

IPOD VIDEO:
In this unit we find the equation of a straight line, when we are given some information about the line. The information could be the value of its gradient, together with the co-ordinates of a point on the line. Alternatively, the information might be the co-ordinates of two different points on the line. There are several different ways of expressing the final equation, and some are more general than others.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Equations of a Straight Line Part 2

IPOD VIDEO: In this unit we find the equation of a straight line, when we are given some information about the line. The information could be the value of its gradient, together with the co-ordinates of a point on the line. Alternatively, the information might be the co-ordinates of two different points on the line. There are several different ways of expressing the final equation, and some are more general than others.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Equations of a Straight Line Part 3

IPOD VIDEO: In this unit we find the equation of a straight line, when we are given some information about the line. The information could be the value of its gradient, together with the co-ordinates of a point on the line. Alternatively, the information might be the co-ordinates of two different points on the line. There are several different ways of expressing the final equation, and some are more general than others.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Equations of a Straight Line Part 4

IPOD VIDEO: In this unit we find the equation of a straight line, when we are given some information about the line. The information could be the value of its gradient, together with the co-ordinates of a point on the line. Alternatively, the information might be the co-ordinates of two different points on the line. There are several different ways of expressing the final equation, and some are more general than others.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Equations of a Straight Line Part 5

IPOD VIDEO: In this unit we find the equation of a straight line, when we are given some information about the line. The information could be the value of its gradient, together with the co-ordinates of a point on the line. Alternatively, the information might be the co-ordinates of two different points on the line. There are several different ways of expressing the final equation, and some are more general than others.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Equations of a Straight Line Part 5

IPOD VIDEO: In this unit we find the equation of a straight line, when we are given some information about the line. The information could be the value of its gradient, together with the co-ordinates of a point on the line. Alternatively, the information might be the co-ordinates of two different points on the line. There are several different ways of expressing the final equation, and some are more general than others.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Properties of Straight Line Segments Part 1

IPOD VIDEO: 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.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Properties of Straight Line Segments Part 2

IPOD VIDEO: 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.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Properties of Straight Line Segments Part 3

IPOD VIDEO: 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.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Properties of Straight Line Segments Part 4

IPOD VIDEO: 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.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

The Geometry of a Circle - Part 3

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.

The Geometry of a Circle - Part 4

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.

The Geometry of a Circle - Part 5

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.

The Geometry of a Circle - Part 1

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.

The Geometry of a Circle - Part 2

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.

The Gradient of a Straight Line Segment Part 1

IPOD VIDEO: 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.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

The Gradient of a Straight Line Segment Part 3

IPOD VIDEO:
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.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

The Gradient of a Straight Line Segment Part 2

IPOD VIDEO:
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.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

### Teach Yourself (6)

Conic sections

In this unit we study the conic sections. These are the curves obtained when a
cone is cut by a plane. We find the equations of one of these curves, the
parabola, by using an alternative description in terms of points whose
distances from a fixed point and a fixed line are equal. We also find the
equation of a tangent to a parabola using techniques from calculus, and we use
this to prove the reflective property of the parabola.

Equations of a straight line

In this unit we find the equation of a straight line, when we are given some
information about the line. The information could be the value of its gradient,
together with the co-ordinates of a point on the line. Alternatively, the
information might be the co-ordinates of two different points on the line.
There are several different ways of expressing the final equation, and some
are more general than others.

Polar co-ordinates

The (x, y) co-ordinates of a point in the plane are called its Cartesian
co-ordinates. But there is another way to specify the position of a point, and
that is to use polar co-ordinates (r, theta). In this unit we explain how to
convert from Cartesian co-ordinates to polar co-ordinates, and back again.

Properties of straight line segments

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.

The geometry of a circle

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.

The gradient of a straight line segment

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.

### Test Yourself (13)

Diagnostic Test - Conic sections

This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Diagnostic Test - Co-ordinate geometry of a circle

This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Diagnostic Test - Equation of a straight line

This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Diagnostic Test - Polar Co-ordinates

This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Diagnostic Test - Straight line segments 1

This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Diagnostic Test - Straight line segments 2

This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Exercise - Co-ordinate geometry of a circle

This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Exercise - Conic sections

This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Exercise - Equation of a straight line

This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Exercise - Polar Co-ordinates

This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Exercise - Straight line segments 1

This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Exercise - Straight line segments 2

This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Maths EG

Computer-aided assessment of maths, stats and numeracy from GCSE to undergraduate level 2. These resources have been made available under a Creative Common licence by Martin Greenhow and Abdulrahman Kamavi, Brunel University.

### Video (6)

Conic sections

In this unit we study the conic sections. These are the curves obtained when a
cone is cut by a plane. We find the equations of one of these curves, the
parabola, by using an alternative description in terms of points whose
distances from a fixed point and a fixed line are equal. We also find the
equation of a tangent to a parabola using techniques from calculus, and we use this to prove the reflective property of the parabola. (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.

Equations of a straight line

In this unit we find the equation of a straight line, when we are given some
information about the line. The information could be the value of its gradient,
together with the co-ordinates of a point on the line. Alternatively, the
information might be the co-ordinates of two different points on the line.
There are several different ways of expressing the final equation, and some
are more general than others. (Mathtutor Video Tutorials)
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Polar co-ordinates

The (x, y) co-ordinates of a point in the plane are called its Cartesian
co-ordinates. But there is another way to specify the position of a point, and
that is to use polar co-ordinates (r, theta). In this unit we explain how to
convert from Cartesian co-ordinates to polar co-ordinates, and back again.
(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.

Properties of straight line segments

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.

The geometry of a circle

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)

The gradient of a straight line segment

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.

### Workbook (2)

Euclidean Geometry

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.

Euclidean Geometry - interactive resources

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.