Just as we usually take for granted the basic arithmetical operations with real numbers, so we usually assume that, given any positive real number a, there is a unique positive real number bÂ =Â  such that b2Â =Â a. We now discuss the justification
Author(s): The Open University

Your calculator will interpret the order in which you press the keys, in a particular way. For example if you press the key sequence:

2 3 Author(s): The Open University

1 Write down the coordinates of the point P on each of the graphs below and interpret these coordinates in terms of the labels on the axes.

Author(s): The Open University

Pie charts are representations that make it easy to compare proportions: in particular, they allow quick identification of very large proportions and very small proportions. They are generally based on large sets of data.

The pie chart below summarises the average weekly expenditure by a sample of families on food and drink. The whole circle represents 100% of the expenditure. The circle is then divided into â€˜segmentsâ€™, and the area of each segment represents a fraction or pe
Author(s): The Open University

This unit lays the foundations of the subject of mechanics. Mechanics is concerned with how and why objects stay put, and how and why they move. In particular, this unit â€“ Modelling static problems â€“ considers why objects stay put.

Please note that this unit assumes you have a good working knowledge of vectors.

This is an adapted extract from the Open University course Author(s): The Open University

This unit shows how partial differential equations can be used to model phenomena such as waves and heat transfer. The prerequisite requirements to gain full advantage from this unit are an understanding of ordinary differential equations and basic familiarity with partial differential equations.

This unit is an adapted extract from the course Mathematical methods and models (MST209
Author(s): The Open University

The following activity illustrates how the conversion processes outlined in the preceding sections may come in useful. If two vectors are given in geometric form, and their sum is sought in the same form, one approach is to convert each of the vectors into component form, add their corresponding components, and then convert the sum back to geometric form.

Author(s): The Open University

All materials included in this unit are derived from content originated at the Open University.

Author(s): The Open University

This unit is aimed at teachers who wish to review how they go about the practice of teaching maths, those who are considering becoming maths teachers, or those who are studying maths courses and would like to understand more about the teaching process.

This unit is from our archive and is an adapted extract from Teaching mathematical thinking at Key Stage 3 (ME624) which is no longer taught by The Open University. If you want to study formally with us, you may wish to explore other cour
Author(s): The Open University

There is a lot of information available on maths and statistics via the internet. Try the activities below to start exploring what is available.

## Activity

At a basic level, a database is a collection of information which can be searched. It is a way of storing, indexing, organising and retrieving information. You may have created one yourself to keep track of your references â€“ or your friends' names and addresses. They are useful for finding articles on a topic, and can be used to search for many different types of information.

You may find some of the following databases useful for your topic. They contain different types of informatio
Author(s): The Open University

Books are a good source of information. The publishing process (where a book is checked by an editor before publishing, and often reviewed by another author) means that books are reliable sources of information, although they may need to be evaluated for bias. A growing number of books can be found online.