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Geometry
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. First published on Tue, 04 Dec 2012 as Geometry. To find out more visit The Open Un
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C Changing the subject of an equation

Now, we will look at rearranging an equation. Before we do this, we would like you to look at some general rules for adding, subtracting, multiplying and dividing positive and negative numbers. Symbols like a or x are simply ‘standing in’ for numerical values, so where a term is positive or negative, it should be treated in the same way as the rules below.

General ru
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B Simplifying algebraic expressions

Whenever we wish to solve an expression, we should first rearrange it to make it as simple as possible, then manipulate it. If we try to manipulate expressions in a complex form, we increase the possibility of making mistakes or becoming confused. Once the expression has been simplified, we can either solve it or state it in its most simplified form.

Sequence of arithmetical calculati
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Learning outcomes

  • Through a number of activities, you will be taught how to reflect on the maths you need for your course, in order to identify which areas you will need to concentrate.

  • Through instruction, worked examples and practice activities, you will gain an understanding of the following mathematical concepts:

  • indices;

  • equations and algebra;

  • units, significant figures and scientific notation;

  • basic trig
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1.1 Examples

Each activity is followed by a discussion and examples of the responses of two students. Both students are studying Open University courses that will eventually count towards a degree. These are nine month distance learning courses.

Course material is delivered to students by post, email or online. Their assignments are submitted by post or email, marked either by a computer or a tutor, and returned. Open University students are provided with a tutor, regular tutorials and guidance on c
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5.5 Reflecting on what I have done differently — what was the effect?

We hope that the activities in this section have helped you to bring to mind what you have learned. But we also want you to think about whether you have done anything differently from what you might have tried before starting the unit. In other words, we want you to ask yourself whether the unit has given you the confidence, or some ideas that have encouraged you, to take a bit of a risk, or, as Section 4 puts it, to step outside your comfort zone.

Do not worry if you cannot say that yo
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4.2.2 Human capital theory

This theory argues that the development of people as a resource (human capital) is as important in creating an internationally competitive country as the equipment to make things (industrial capital), or the money to set up new enterprises (financial capital). The need to develop the right sort of human capital can be seen to underpin many social, as well as economic, policies – education and training are prime examples of policy areas where human capital thinking is used to highlight the i
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4.2.1 Theories of globalisation

There are many different theories relating to globalisation. Some see globalisation as positive or beneficial. These theories argue that globalisation will encourage ‘good things’ like the growth of online communities that can span the world and might be able to break free of repressive regimes. Others suggest that there will be negative consequences to globalisation. They argue that globalisation makes it easier for jobs to be exported to wherever labour is cheapest. In this view there a
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3.2.1 Why can it be useful?

It is possible to argue that getting feedback from other people is useful because it gives a perspective that would not, otherwise, be available to us. There are many different theories that suggest there are aspects of ourselves of which we are only dimly aware. You may well have heard of Sigmund Freud’s idea that our minds are made up of both conscious and unconscious elements. Freud argued that the working of the unconscious part of the mind is almost impossible to access. However, these
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2.7 Conclusion

This section has asked you to do a great deal of work on gathering evidence about what qualities, knowledge and skills you already have. There are two main reasons why this is important if you are going to use learning in order to achieve change. First, it is really important for you to have the self-confidence to know that you can achieve change. The activities in this section have been designed to provide you with opportunities to build up this much clearer picture. Another important aspect
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1.2.3 Computing with confidence

When it comes to learning about computers and gadgets, have you noticed the apparent ease with which children learn to use these tools? This may be because they are more likely to use the activist learning style. They try out and investigate rather than follow instructions rigidly or ponder the different approaches to a problem.

In this unit we want to encourage you to be an activist when learning how to use computers. We want you to explore technological problems in the same way as a c
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1.1.2 Quiz: Getting started

0 hours 30 minutes

This quiz will help you to become familiar with some of the terminology that you will come across in this unit. It is just for fun. Your answers are not assessed, so don't worry abo
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Learning outcomes

By the end of the unit you should be able to:

  • tackle computer-based tasks more confidently;

  • have an awareness of your preferred learning styles.


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Acknowledgements

The content acknowledged below is Proprietary (see terms and conditions  )and is used under a Creative Commons licence.

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

Grateful acknowledgement is made to the following sources
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5.1 The values represented by the text

As we have seen, you are fully immersed in the text while you try to discover how it works and what it is about. But in order to make some judgements of it you have to shift your stance a bit. You have to ‘stand back’, as it were, and ask yourself: What do I think about these things I have discovered?

Basically, you need to ask two kinds of question about the text's ‘value’:

  1. What values are represented in the
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9.5.2 Establish and maintain co-operative working relationships

Try to organise the work so that each member can benefit from working as part of a team and helpful relationships are maintained. At times you may need to offer support and encouragement, share resources, ask for help and advice yourself, deal with behaviour, which may discriminate against others or disrupt their work, and help to resolve conflict. If you are completely stuck on how to overcome difficulties, try to find someone who can support and help you and the group.

When things are
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9.7.1 Take a leading role in managing an activity

If the planning has been considered and negotiated and schedules and resources identified, managing the group progress may just involve checking on progress against agreed deadlines. You need to know how to obtain and use effectively the resources needed (such as materials, tools, access to equipment, help from others) and try to make constructive use of time, both yours and that of other group members. Managing an activity also means being able to delegate and negotiate quality and standards
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9.5 Monitoring progress

Monitoring progress is about keeping track of how the work with others is going, making sure you are ‘on task’ and ‘on time’. You need to know how to monitor progress in managing a group activity and being a team member. This will involve considering the relationships within the group and managing the quality of the work by using the checkpoints to review the progress towards your goals and outcomes.

Monitoring progress in working with others involves you considering your progre
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7.5.3 Monitor and critically reflect on your use of number skills

As you use number skills in your work, refer back to the outcomes you hope to achieve and the goals you have set yourself. Ask yourself questions such as:

  • am I on track to achieve my outcomes?

  • what difficulties in using numerical or mathematical techniques have I experienced and what have I done about them?

  • how have the choices and decisions I made impacted on the quality of my work?

  • do I need to make
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Interpret results and identify your main findings

In interpreting your results, think about the coverage of your searches and whether you have missed anything or left out important areas. You cannot find everything, but you should be confident that you have located sources recognised for their accuracy, authority and authenticity. How will you judge the quality and coverage of your material? Be aware that while your information may be accurate and reliable, it may not be unbiased. Look carefully at the sources of your information (ask yourse
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