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Starting with maths: Patterns and formulas
Patterns occur everywhere in art, nature, science and especially mathematics. Being...
Patterns occur everywhere in art, nature, science and especially mathematics. Being able to recognise, describe and use these patterns is an important skill that helps you to tackle a wide variety of different problems. This unit explores some of these patterns ranging from ancient number patterns to the latest mathematical research.
After completing this unit you should be able to:
- visualise problems using pictures and diagrams;
- recognise patterns in a variety of different situations;
- use a word formula to help solve a problem;
- derive simple word formulas of your own, for example for use in a spreadsheet;
- use doing and undoing diagrams to change formulas round;
- solve problems involving direct and inverse proportion;
- interpret and use notation for inequalities;
- appreciate that there are many unsolved problems in mathematics.
- Duration: 5 hours
- Published on: Tuesday 2nd November 2010
- Level: Introductory
- Posted under: Mathematics Education
Starting with maths: Patterns and formulas
Introduction

Patterns occur everywhere in art, nature, science and especially mathematics. Being able to recognise, describe and use these patterns is an important skill that helps you to tackle a wide variety of different problems. This unit explores some of these patterns ranging from ancient number patterns to the latest mathematical research. It also looks at some useful practical applications. You will see how to describe some patterns mathematically as formulas and how these can be used to solve problems both by hand and using a computer spreadsheet. At the end of the unit, you can even have a go at an unsolved mathematical problem! Between 2000 and 2002, a $1 000 000 prize was offered for its solution – that's just to show you that there is still a lot of very exciting mathematics to be discovered and also that everybody – you, me and all great mathematicians – do get stuck with mathematics somewhere!
You won't need a computer to do this though!
This unit is from our archive and is an adapted extract from the Open University course Starting with maths (Y162), which is no longer in presentation. If you wish to study formally with The Open University, you may wish to explore the courses we offer in the Openings Programme [Tip: hold Ctrl and click a link to open it in a new tab. (Hide tip)] .
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- 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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