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Programming
Your
Calculator
Casio fx-7400G PLUS
Barry Kissane
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Programming Your Calculator: Casio fx-7400G PLUS Published by Shriro Australia Pty Limited 72-74 Gibbes Street, Chatswood NSW 2067, Australia A.C.N. 002 386 129 Telephone: 02 9370 9277 Facsimile: 02 9417 8957 Email: casio.edusupport@shriro.com.au Internet: http://www.school.casio.com.au Copyright © 2000 Barry Kissane All rights reserved. Except under the conditions specified in the Copyright Act 1968 of Australia and subsequent amendments, and the provisions of the next paragraph, no part of t
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Barry Kissane INTRODUCTION The Casio fx-7400G PLUS does not have all the capabilities of larger, more sophisticated (and considerably more expensive) graphics calculators. This booklet contains examples of programs that you can use to extend its capabilities in various ways. Some of the programs allow the calculator to undertake tasks usually available only on more sophisticated calculators (such as solving equations). Some programs allow you to explore mathematical ideas in new ways, such as th
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Programming your calculator commands that are used almost exclusively for programming. These are accessed by first accessing ( ). The inside back cover of the User's Guide shows where all programming commands are, while Chapter 8 describes in detail how each command works. When you have finished entering the program into the calculator, press to return to the programming list menu. Test the program to make sure there are no typing errors. If possible, you should check that your program works b
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Barry Kissane Deleting programs Programs remain in your calculator until you delete them. They are not affected by turning the calculator off. To permanently delete a program, go to the program list with , and press the continuation key. Use and to select the program name from the list, and then press ( ). To delete all the programs in a calculator, choose . ( ) instead of ( ). In case you have pressed any keys by mistake, you then have a second chance to confirm that you do actually want t
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Programming your calculator I express my gratitude to Debbie Taylor, who has been encouraging during this project and especially helpful in checking the text and the programs in this book, although I remain responsible for any lingering errors that you may find. I hope that you enjoy using these programs and wish you well in starting the adventure of writing some others for yourself or your friends. Barry Kissane The Australian Institute of Education Murdoch University Western Australia 6150 htt
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Barry Kissane INDEX OF PROGRAMS Page Calendar ..............................................................................................1 Heron.....................................................................................................2 Zero........................................................................................................3 2 x 2 EQ.................................................................................................4 3 x 3 EQ.........................
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Programming your calculator
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Barry Kissane CALENDAR Purpose Gives the week day for any date, according to the Gregorian calendar, which is in everyday use today in western countries. The program evaluates a formula that takes leap years appropriately into account. Operation Enter the day, month number and year (all four digits), pressing after each. For example, 31 August 1949 is entered as . Important Note: January and February must be entered as the 13th and 14th months of the previous year. So February 6, 1950 must be e
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Programming your calculator HERON Purpose Uses the lengths of the three sides of a triangle to calculate the area of any triangle, using Heron's formula, known since ancient times. Operation Enter the length of each side, followed by . Both numbers and expressions (such as √2) are permitted. The program displays the area of the triangle. Press to enter the side lengths of another triangle. Test the program by entering sides of a familiar triangle, such as a 3-4-5 triangle, and checking that the
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Barry Kissane ZERO Purpose The program finds approximately a zero of a function, i.e. a value of the variable for which the function has zero value. Operation The function must be entered as in the function list and then graphed. Trace to a point near a zero you want to find and then activate the program. The coordinates of a point close to the zero are given as a list. The first element is the zero itself (the x-value). The second element (the y-value) gives an indication of how close it is to
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Programming your calculator 2 X 2 EQ Purpose Solving a set of two simultaneous linear equations, by entering only the coefficients of each. Operation The program reminds you of the form for the equations: a x + a y = b 11 12 1 a x + a y = b 21 22 2 You may have to rewrite your equations into this form before entering them. Input the six coefficients in the correct order, pressing after each. If the coefficients are all integers, the result will be given as a fraction. Test the program by findin
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Barry Kissane 3 X 3 EQ Purpose Solving a set of three simultaneous linear equations, by entering only the coefficients of each. Operation The program reminds you of the form for the equations: a x + a y + a z = b 11 12 13 1 a x + a y + a z = b 21 22 23 2 a x + a y + a z = b 31 32 33 3 You may have to rewrite your equations into this form before entering them. Input the twelve coefficients in the correct order, pressing after each. If the coefficients are all integers, the result will be given a
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Programming your calculator QUADEQTN Purpose Finding the roots of a quadratic equation, using the quadratic formula. Operation 2 The program reminds you of the form of the equation: ax + bx + c = 0. You may have to rewrite your equations into this form before entering them. Input the three coefficients in the correct order, pressing after each. Test the program by finding the solutions to the equation: 2 x = 10 – x 2 In this case, first rewrite the equation to the appropriate form, x + x – 10 =
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Barry Kissane INTRSECT Purpose To find the coordinates of a point of intersection of the graphs of two functions. This can be used to solve a pair of simultaneous equations. Operation Start by graphing the two functions, using Y1 and Y2. Trace to a point close to the point of intersection. Then activate the program. The result will be given correct to three decimal places. The program reminds you that the two functions must be in Y1 and Y2. Test the program by finding the points of intersection
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Programming your calculator MINIMUM Purpose Find the coordinates of a relative minimum of a function. Operation The function must be in Y1 in the list. Draw a graph of the function and trace to a point near a minimum point. Activate the program, which will give the coordinates of the minimum point, correct to three decimal places. Test the program by finding the relative minimum of the function 2 y = x – x – 1. The result is (0.500,-1.250). 8
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Barry Kissane MAXIMUM Purpose Find the coordinates of a relative maximum of a function. Operation The function must be in Y1 in the list. Draw a graph of the function and trace to a point near a maximum point. Activate the program, which will give the coordinates of the maximum point, correct to three decimal places. Test the program by finding the relative maximum of the function 3 y = x – x – 1. The result is (-0.577,-0.664). 9
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Programming your calculator SEARCH Purpose To search systematically through a range of values in order to solve a problem. Operation In its present form, the program checks each of the numbers from 10 to 100 in turn to see whether any of them satisfy the following condition: The product of the tens and units digit, added to the sum of the tens and units digit, gives the original number. When the program is run, any numbers satisfying the condition are printed. Press to continue after each answe
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Barry Kissane INTEGRAL Purpose To find the area under a curve and above the x-axis between two points, using the integral of a function. Operation The program reminds you that the function must be in Y1. Enter the function in Graph mode and then start the program in Program mode. Enter the x-value for the lower limit and the upper limit, pressing after each. The area is then printed on the screen. 2 To test the program, check that the area under the function y = 1 – x between x = 0 and x = 1 i
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Programming your calculator DECIMAL Purpose To give the decimal expansion of a fraction to as many decimal places as desired. Operation Enter the numerator and the denominator, both whole numbers, pressing after each. Each time you press , the next digit in the decimal expansion will be given. Record these on paper if you wish. Note that the decimal point is not displayed by the calculator. ON Press when you wish to stop. To test the program, check that the decimal expansion of 3/13 is 0.02307
