7.2 Square roots Earlier you met the square function and on most calculators the square root is the second function on the same key. Look to see if this is the case for your calculator and check the calculator handbook on how to use this function. In many cases you will need to press the square root key before the number, instead of afterwards, as for the square key. This is the case on the TI-84. Check that you can find the square root of 25 and of 0.49 (you should get 5 and .7 respectively). Now find
3 Aims The aim of this section is to help you to think about how you study mathematics and consider ways in which you can make your study more effective.
Pressing onwards Work through Sections 1.6 and 1.7 of the Calculator Book, using the method suggested above of glancing ahead-pressing on-glancing back, if you find it useful. A num 1.1 Mathematics and you Many people's ideas about what mathematics actually is are based upon their early experiences at school. The first two activities aim to help you recall formative experiences from childhood. Read Why study mathematics? There are many re 2 Representing symmetries In Section 2 we develop an algebraic notation for recording symmetries, and demonstrate how to use the notation to calculate composites of symmetries and the inverse of a symmetry. Click 'View document' below to open Section 2 (9 pages, 504KB). Acknowledgements Alist [Details correct as of 27th June 2008]  All other material contained within this unit originated at the Open University. 2 Functions In Section 2 we give the general definition of a function, and illustrate how functions can be used to describe a variety of mathematical concepts, such as transformations of the plane. We discuss the idea of composing two functions, and the idea of forming the inverse of a function. Click 'View document' below to open Section 2 (16 pages, 366KB). Acknowledgements All written material contained within this unit originated at the Open University 1. Join the 200,000 students currently studying withThe Open University. Introduction Many problems are best studied by working with real functions, and the properties of real functions are often revealed most clearly by their graphs. Learning to sketch such graphs is therefore a useful skill, even though computer packages can now perform the task. Computers can plot many more points than can be plotted by hand, but simply ‘joining up the dots’ can sometimes give a misleading picture, so an understanding of how such graphs may be obtained remains important. The object of t 4 Open Mark quiz Now try the quiz and see if there are any areas you need to work on. 3.1 Expressing numbers in scientific notation Earlier you looked at place values for numbers, and why they were called powers of ten. 2.5.1 Try some yourself 1 What are the following? (a) 10 (b) 01 (c) 20 (d) 02 3.2 Negative coordinates Up to now only those points with positive or zero coordinates have been considered. But the system can be made to cope with points involving negative coordinates, such as (−2, 3) or (−2, −3). Just as a number line can be extended to deal with negative numbers, the x-axis and y-axis can be extended to deal with negative coordinates. 3.1 Positive coordinates For many towns and cities, an individual book of street maps called an A to Z has been produced. You can look up the name of a street in the index, and it will give you the page number of the map that contains the street, plus the grid reference square for the street. There are different conventions for these grid references. You may have met several of these. 2.2 Tables and percentages Tables often give information in percentages. The table below indicates how the size of households in Great Britain changed over a period of nearly 30 years.
Activity 15
Activity 1 Carl Jung's school days
Unit image
Place value 10 000 1000 100 10 1 Author(s):
Author(s):
