Casio Fx-82AU PLUS Montage- und Bedienungsanleitung

1

Using the Casio fx-82AU PLUS

Scientific Calculator

Techniques and activities

The pages and activities included in this publication may be copied for classroom

use.

2

Publishing information

Published by Sue Thomson

First published in 2008

Reproduction and communication for educational purposes

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 subsequent amendments, without the prior written permission of the copyright owners.

The copyright owners intend these instructions and worksheets to be reproduced in

numbers sufficient for use by individual students in the classroom. Permission is therefore

granted for teachers to reproduce the pages in quantities for non-commercial classroom use.

National Library of Australia Cataloguing-in-Publication data:

ISBN 978-0-646-49292-6

Thomson, Sue,

Using the Casio

-82AU PLUS Scientific Calculator

For secondary school students and teachers

3

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 ……………………………………………… 8

Powers and roots ……………………………………………………………………9

Trigonometry ………………………………………………………………………10, 11

Changing degrees Û radians ……………………………………………… 11

Statistics …………………………………………………………………………… 12 – 15

Using the random number function …………………………………. 15

Using the memories ……………………………………………………………. 16

Tips and hints ………………………………………………………………………. 17

Trouble shooting …………………………………………………………………18, 19

Developing calculator skills practice sheets

Fractions and decimals……………………………………………… 20

Percentages ……………………………………………………………….. 21

Working with fractions …………………………………………… 22

Fix, scientific notation and norm …………………………… 23

Roots and exponents ………………………………………………… 24

Trigonometry ……………………………………………………………… 25

Statistics ……………………………………………………………………… 26

Using the memories ………………………………………………….. 27

Degree Û Radians ……………………………………………………… 28

Logs, natural logs and e ……………………………………………… 29

Activities and worksheets for students

Gallipoli Australia and New Zealand join WWI 30, 31

Waiting time investigation ……………………………………. 32

Playing dice simulation …………………………………………….. 33

Subtracting dice bingo …………………………………………… 34

Should you require further information refer to the booklet of instructions

that was supplied with the calculator. Watch the Casio website

www.casioed.net.au or contact casio.edusupport@shriro.com.au for more classroom

activities with the

-82AU PLUS.

4

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 traditionally displayed maths. The following screens show an

example of the two options.

MthIO mode LineIO mode

Selecting Math (MthIO) or LineIO

When you are in the comp mode press SHIFT MODE (SET UP) and the following

screen will be displayed. Enter the Math mode by pressing 1 and Line mode by

pressing 2.

5

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 calculator will continue to display all numbers in this form until you

instruct it to do otherwise. Refer to information on page 6 about toggling between

fractions and decimals for answers in different forms.

Answers expressed in scientific notation

When you are in the comp mode press SHIFT MODE (SET UP) and the above

screen will be displayed. Press 7.

The screen then asks for the number of significant figures required. Press the

number you want and the calculator will continue to display all numbers in this form

until you instruct it to do otherwise.

Setting the calculator back to ‘normal‛

When you are in the comp mode press SHIFT MODE (SET UP) and the above

screen will be displayed. Press 8.

The screen then asks whether you would like Norm 1 or Norm 2.

The difference between Norm 1 and Norm 2 is the value when the calculator swaps

from a display as a decimal to a decimal in scientific notation.

In norm 1, the answer to 1P200 is displayed as 5 × 10 -3

In norm 2, the answer to 1P200 is displayed as 0.005.

Norm 2 doesn‛t use scientific notation until the display is of the order of 5 × 10 -9

6

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 change either 5.25 or 5E1E4 into an improper fraction press SHIFT nN.

Fractions in the Math mode

To enter a traditional fraction, for example ½, press a1 then use the bottom

of the replay button to position the cursor on the denominator and press 2.

To enter a mixed numeral, for example 5¾ press SHIFT a then

5$3R4p.

To enter 1½ + 3¾ press

SHIFT a1$1R2$+ SHIFT a 3$3R4p.

The picture of the screen for this calculation is on the following page.

7

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.

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.

Fractional indices

The fraction button can be used as an index.

In the Math mode the button pressing is 32fa3R5p.

In the line mode the button pressing is 32f3a5p. Note! The first

bracket is supplied by the calculator and the second bracket can be omitted if it is

the last entry before p.

8

Negative, fractional indices

The calculator can execute an impressive range of calculations with negative and

positive fractional indices.

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.

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 brackets.

9

Powers and roots

Determining powers

Both screens show the value of 1.5

. The button pressing is the same in both modes.

1.5f3p.

Determining roots

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.

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

modes the button pressing used to produce the following screens was:

sMp.

10

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 degrees to radians or radians to

degrees are on page 5.

Entering trigonometric expressions

Enter the trigonometric ratio followed by the angle. The calculator will insert a left

hand bracket but entering a ‘close brackets‛ is not required.

Degrees, minutes and seconds

The x button is used for entering degrees, minutes and seconds. The button

sequence for entering 52

o 36‛ 14” is 52x36x14xp.

Using inverse trig

The following button sequence is required to solve the equation tanq = 1.56.

SHIFT l1.56. If the 1.56 is the result of the previous calculation the

sequence SHIFT lM can be used.

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