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Geometry is concerned with the various aspects of size, shape and space. In this unit,...
Geometry is concerned with the various aspects of size, shape and space. In this unit, you will explore the concepts of angles, shapes, symmetry, area and volume through interactive activities.
After studying this unit you should be able to:
- understand geometrical terminology for angles, triangles, quadrilaterals and circles;
- measure angles using a protractor;
- use geometrical results to determine unknown angles;
- recognise line and rotational symmetries;
- find the areas of triangles, quadrilaterals and circles and shapes based on these;
- find the volume of boxes, cyclinders and objects with constant cross-sectional areas.
- Current section: Introduction
- Learning outcomes
- 1 Angles
- 1.1 Angles, notation and measurement
- 1.2 How to measure an angle
- 1.3 Angles, points and lines
- 1.3.2 Angles on a line
- 1.3.3 Drawing a pie chart
- 1.3.4 Vertically opposite angles
- 1.4 Parallel lines
- 1.4.1 Corresponding angles
- 1.4.2 Alternate angles
- 2 Shapes and symmetry
- 3 Areas and volumes
- 4 OpenMark quiz
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This unit looks at various aspects of shape and space. It uses a lot of mathematical vocabulary, so you should make sure that you are clear about the precise meaning of words such as circumference, parallel, similar and cross-section. You may find it helpful to note down the meaning of each new word, perhaps illustrating it with a diagram.
This module contains some interactive geometry activities which use the Java based software, Geogebra. You will need to install Java on your computer in order to use the activities. Geogebra .. Further information on Geogebra is available on
If you are unable to use this software, you will still be able to complete this module.
If you have Java installed, you should be able to follow the link to the first activity below. This activity explains how to use some of the tools you will need in the rest of the module.
Activity 1: Using dynamic geometry software
Click here to start learning about how to use dynamic geometry software.
This unit is from our archive and it is an adapted extract fromOpen Mathematics (MU120) that is no longer in presentation. If you wish to study formally at The Open University, you may wish to explore the courses we offer in this curriculum area.
This is an extract from an Open University course which is no longer available to new students. If you found this interesting you could explore more free Mathematics Education courses or view the range of currently available OU Mathematics Education courses.
Copyright & revisions
Originally published: Thursday, 17th October 2013
- Creative-Commons: The Open University is proud to release this free course under a Creative Commons licence. However, any third-party materials featured within it are used with permission and are not ours to give away. These materials are not subject to the Creative Commons licence. See terms and conditions. Full details can be found in the Acknowledgements section.
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