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Using the Casio fx-82AU PLUS
Scientific Calculator
Techniques and activities
© Sue Thomson and Shriro Australia PTY Limited Casio Education division
The pages and activities included in this publication may be copied for classroom
use.
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ページ2に含まれる内容の要旨
Publishing information Published by Sue Thomson Copyright © Sue Thomson and Shriro Australia PTY Limited, Casio Education Division 2008 First published in 2008 Reproduction and communication for educational purposes All rights reserved. No part of this publication may be stored in a retrieval system or transmitted in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, except under the conditions described in the Copyright Act 1968 of Australia and subs
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Contents Page Getting started ……………………………………………………………………. 4 MathIO display ……………………………………………………………………. 4 LineIO display ………………………………………………………………………. 4 Setting degrees or radians ………………………………………………… 5 Fixing decimal places ……………………………………………………………. 5 Scientific notation ……………………………………………………………… 5 Normal display ……………………………………………………………………… 5 Fractions and decimals ……………………………………………………… 6, 7 Fractional indices ………………………………………………………………… 7 Negative, fractional indices ……………………………………
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Getting started After you have turned the calculator on the first step is to choose whether you want to do a calculation or to work in statistics. Press the MODE key to enter your choice of calculations (i.e. computation) or statistics. Press 1 for calculation or 2 for statistics. The Comp (calculations) menus The calculations menu offers you the choice of how you would like the maths displayed. The choices are MthIO, the way we write maths or Line IO the way calculators have traditional
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Set up information Setting the calculator to degrees or radians When you are in the comp mode press SHIFT MODE (SET UP) and the following screen will be displayed. Press 3 for degrees or 4 for radians. Setting decimal places and scientific notation To fix the number of decimal places When you are in the comp mode press SHIFT MODE (SET UP) and the above screen will be displayed. Press 6. The screen then asks for the number of decimal places required. Press the number you want and the ca
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Fractions and decimals The key strokes for fractions are slightly different in the Math mode than in the Line mode. Fractions in the Line mode Use the a button to enter any expression involving fractions in the same way as the z button was used in the past. To enter 1½ + 3¾ press 1a1a2+3a3a4p. Answers in different forms The calculator can display the answer as an improper fraction, mixed numeral or decimal and it can toggle between all three. To change 5E1E4 to a decimal press n. To c
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Remember you can toggle between the answer displayed as an improper fraction, mixed numeral and decimal. Refer to the section ‘answers in different forms‛ on the previous page. Simplifying fractions In either mode the calculator will express a fraction in its simplest form. Enter the fraction followed by p. OR Reciprocals The u button will find the reciprocal of a fraction. To find the reciprocal of 1½ enter the fraction and press p, then up. OR Fractional indices The fraction button
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Negative, fractional indices The calculator can execute an impressive range of calculations with negative and positive fractional indices. or Occasionally the whole screen can‛t be displayed in the math mode, but the calculation remains possible. Naturally the following calculations can be executed in the line mode. Þ Þ Powers, math mode and brackets Provided the cursor is placed appropriately brackets can be omitted. Observe the above calculations in the math mode entered without brac
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Powers and roots Determining powers 3 Both screens show the value of 1.5 . The button pressing is the same in both modes. 1.5f3p. OR Determining roots th The F button is used to determine roots. The screens show the value of the 5 root of 1024. The button pressing in each mode is shown below the screens. OR In the maths mode: SHIFT f5$1024p. In the line mode: SHIFT f1024!!!!!5. Using the M feature The M button allows a calculation to proceed using the previous answer. In both mode
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Trigonometry Before starting any calculations involving trigonometry always check the angle measure for degrees, radians or gradients. If the angle measure isn‛t consistent with the type of angle being used, all answers will be wrong. A D at the top of the screen indicates that the calculator is set to degrees. An R indicates radians and G gradients. Gradients are NEVER used in trigonometry in Australian schools. Set in degrees Set in radians Instructions to change the calculator from deg
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Changing a decimal to degrees, minutes and seconds o Press SHIFT x to express 57.33908 in degrees, minutes and seconds. Changing radians into degrees or degrees into radians When you are converting angle types you MUST have the calculator set to the type of angle you are converting INTO. Radians to degrees The calculator is set in degrees. In the Maths mode the button sequence used was: aSHIFTKR2$SHIFTM2p. In the line mode the sequence is: (SHIFTKa2)SHIFTM2p. Degrees to radians The c
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The statistics menu Hint! When you are going to work in statistics start with the calculator turned off. Then you know all the statistics memories are empty. The data is cleared automatically when the calculator is turned off or the statistics menu is exited. Turn the calculator on. After you have selected MODE 2 for statistics the following screen will be displayed. The only thing that is relevant is 1-VAR, or 1 variable statistics. When you press 1 for 1 variable statistics, one of two
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The options for statistics are in 3. Press 3 to view the options. Press 1 if you want to have a separate list for frequencies and 2 if you want to enter scores without frequencies. Example Let‛s find the summary statistics for the following set of scores. 4, 6, 2, 8, 3, 9, 12, 6, 4, and 5. Step 1 Start with the calculator turned off. Turn the calculator on then set the calculator to statistics (MODE 2) and press 1 for 1 variable statistics. If the calculator has a frequency column showi
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1 : Type takes you back to the first screen in this section of the notes. 2 : Data takes you back to the entered data. This is ideal for checking student data entries. Data also allows you to insert a score or delete all the scores. Caution! If you edit or change the data make sure that you press AC to indicate the changes are complete before you go to any data calculations. 3 : Sum gives the sum of the squares of the scores or the sum of the scores. 4 : Var gives the number of scores, mea
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Press C when you have completed the data entry stage. Don‛t panic when the scores disappear. The process for finding the mean and standard deviation is the same as outlined in the example using scores without frequencies. In the scores with frequencies example the mean is 5.1 and the standard deviation is 1.03. The random number function The calculator has two random number features. Ran# generates 3-digit pseudo random numbers between 0 and 1. RanInt generates random integers in a specifi
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Using the memories The calculator has an independent memory that can store the result of a calculation. In addition there are six pronumerals A, B, C, D, X and Y which may be assigned values. The independent memory M Before you start using the memory, check that there is nothing in the memory. In the following screen shot the small M in the top left hand corner of the screen indicates that a value is stored in the memory. The contents of the memory can be cleared by pressing 0 q J (STO)
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Tips and hints! Using brackets It is not necessary to enter the final bracket. Scrolling through previous entries When there is a small up E or down R arrow displayed in the window you can review previous entries and answers by scrolling up or down using the top or bottom of the replay button. Setting the calculator back to the factory settings The second function on 9 allows you to clear memories and reset the calculator if required. When you press SHIFT9 the following screen will be d
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Trouble shooting The calculator is using a comma in place of a decimal point Solution: In ‘display‛, ‘comma‛ has been selected instead of ‘dot‛. In the calculations menu press SHIFT MODE (SET UP) then arrow down by pressing the bottom of the round replay button. Press 4(for display). Then press 1for dot. Answers to fractions calculations are improper fractions There are several ways to deal with this issue. You can set the calculator to always display answers as a mixed numeral (see in
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The calculator is recalling the wrong value for a value in the memory You must clear the memory before placing a new value in the memory. The clear function is the second function on 9. Press SHIFT 9 then follow the instructions on the screen. The calculator is frozen In the middle of the back of the calculator there is a small hole. Press in the middle of the hole with a fine tipped biro. In statistics the calculator is pasting the value of the mean in place of a score in the data list.
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Fractions and Decimals Remember! When you have a fraction or a decimal displayed on the screen pressing the n button will allow you to toggle between decimal and fractional representation. Pressing SHIFT n will toggle between an improper fraction and mixed numeral representation for expressions with a value greater than 1. Instructions for entering fractions in MathIO and LineIO are on pages 6 and 7. Practice your skills with the following questions. 3 1. Express 1 as a decimal. 4 7
