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Sharp EL-W535B manuel d'utilisation

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Table des matières du manuel d’utilisation

  • Page 1

    EL - W535B Calculator Teaching Activities For The Classroom Jeremy Ross[...]

  • Page 2

    Copyright © 2008 by Sharp Electronics Corpora tion. All rights reserved. This publication may not be reproduced, stored in a retrieval sy stem, or transmitted in any form or by any means, electronic, mechanical, photocopy ing, recording, or otherwise without written permission. Sharp is a registered trademark of S harp Corporation .[...]

  • Page 3

    Table of Contents Calculator Layout Special Functions Examples Using the Sharp EL-W535B Calculator TEACHING ACTIVITIES FOR THE CLASSROOM BASIC ARITHMETIC Calculator Activity Practice Activity FRACTIONS Calculator Activity Practice Activity POWERS AND ROOTS Calculator Activity Practice Activity PARENTHESES AND EDITING Calculator Activity Practice Ac[...]

  • Page 4

    1 VARIABLE STATISTICS Calculator Activity Practice Activity 2 VARIABLE STATISTICS & LINEAR REGRESSION Calculator Activity Practice Activity ANSWERS 35 36 37 38 39[...]

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    1[...]

  • Page 6

    S pecial Func tions of the Sharp EL - W 535B Calculator   Modes. This calculator has three modes . NORMAL, STAT, and DRILL mode. To access these modes press followed by for NORMAL, for STAT, and for DRILL.   Degrees. The EL - W 535 B can be set t o degrees, radians, or grads . Pr ess and enter f or D RG. T hen press for degrees, f or ra[...]

  • Page 7

      Pi. Press .   Degrees - Minutes - Second s. Enter the deg rees. Press . Enter the minutes. Press . Enter the seconds. P ress . Press to convert to decimal degrees .   Exponen ts. Enter the base. Press . Enter the e xponent. Press .   Square roots. Press . Enter the radicand. Then press .   Squares. Enter the number t[...]

  • Page 8

      Scientific Nota tion. Enter the number . P ress . Enter the pow er. Then press .   Euler’s Number. To enter e press followed by .   Fractions. Enter the numerator. Press . Enter the den ominator. Then press .   Mixed Numbers. Enter the w hole number. Press . E nter the numerator. P ress . Enter the denominator. Then pres[...]

  • Page 9

    to rectangular coordinate s enter your r - value. Press . Then enter y our theta. Press .   Factorial. Enter the number. Press followed by . Then press .   Combinations. Enter the larger number. Press . Enter the smaller number. Then press .   Permutations. Enter the larger n umber. Press followed by . Enter the smaller numb er. T[...]

  • Page 10

    Examples: Please refer to the following examples and the key strokes required to enter each problem. From these simple examples more complica ted expressions can be easily entered. 9 2 1  3 1 4 3 2  3 2 17  4 3 2 3 2 1   % 33 153  e ln 10 log    4 log 2 2 3 10 e  30 sin 0 cos 1  78 tanh ! 3 5 10 C 1 6 P 6[...]

  • Page 11

    Using the Sharp EL - W535B Calculator GETTING ST A RTED The National Council of Teachers of Mathe matics and many other organiz ations with a commitment to the mathe matics education of our youth have all given their support to the ongoing and appropria te use of calculators. In this docu ment, con vincing argu ments for the ongoing use of calculat[...]

  • Page 12

    TEACHING ACTIVITIES FOR THE C LASSROOM The Sharp EL - W 535B w as des igned with y ou and you r students in mind. The following activities have been written to provide the practic e students need to succeed in mathematics, as they become familiar with the w onderful features of this exciting and pow erful mathematical tool. 8[...]

  • Page 13

    Calculator Acti vity BASIC ARITHMETIC OBJECTI VE: To perform basic operations by developing a sequence o f numbers. Performing a specified operation repeatedly can gen erate a sequence o f numbers. For example, if you start with the number 4 and add 2 repeatedly y ou will generate the sequence  10 , 8 , 6 , 4 1. Add 13 to 54 twice: STEP 1: Enter[...]

  • Page 14

    NAME _____ ______ ______ _____ ________ ______ _______ DAT E______ ______ ____ BASIC ARITHMETIC Use your EL - W 535B to develop a series of sequences. 1. Find the first seven numbers of the sequence starting with – 3 where each additional term i s found by adding 4. - 3, ___, ___, _ __, ___, _ __, ___, … 2. Find the first four numbers of the se[...]

  • Page 15

    Calculator Acti vity FR A CTIO NS OBJECTI VE: To perform basic operations with fracti ons. 1. Simplify 8 3 7 1  STEP 1: Enter 7 1 by pressing . STEP 2: Add by pressing . STEP 3: Enter 8 3 by pressing . STEP 4: Find th e sum by pressing . 2. Simplify 13 5 2 1  . Then convert to a decimal STEP 1: Enter 2 1 by pressing . STEP 2: Subtract by pres[...]

  • Page 16

    NAME _____ ______ ______ _____ ________ ______ _______ DAT E______ ______ ____ FR A CTIO NS Perform the ind icated operat ions with fractions using y our EL - W 535B. 1. Find the arithmetic mean of the following fractions 16 1 , 4 1 , 2 1 . 2. Find the arithmetic mean of the following fractions and convert to a decimal 12 5 , 11 4 , 10 3 , 9 2 , 8 [...]

  • Page 17

    Calculator Acti vity POWERS AND ROO TS OBJECTI VE: To perform bas ic operations w ith pow ers and roots. 1. Calculate 3 2 3 STEP 1: Enter 2 3 by pressing . STEP 2: Cube it by pr essing . STEP 3: Calculate the answer by pr essing . 2. Calculate 6 5 ) 3 ( . STEP 1: Enter 5 3 by pressing . STEP 2: Raise the expre ssion to the 6 th pow er by pressing .[...]

  • Page 18

    NAME _____ ______ ______ _____ ________ ______ _______ DAT E______ ______ ____ POWERS AND ROO TS Use your EL - W 535B to perform the indicated oper ations with the following equations that contain powe rs and roots. 1. Simplify 2 2 2 2 2 5 4 3 2 1     ________ _____ ________ ______ _ 2. Simplify 5 4 3 2 1     ________ _____ [...]

  • Page 19

    Calculator Acti vity PARENTHE SES A ND EDITING OBJECTI VE: To perform basic operations with parentheses b y finding the volume of a sphere, by recal ling the expressions, and ed iting them to perform a new calculation. The volume of a sphere is defined to be Volume 3 3 4 r   , where r is the radius of the sphere. 1. Given the radius is 2 find[...]

  • Page 20

    NAME _____ ______ ______ _____ ________ ______ _______ DAT E______ ______ ____ PARENTHE SE S A ND EDITING Use your EL - W 535B and the formula to find the volume of a sphere. Recall and e dit previous equa tion to prevent typing the w hole expression ove r and ove r again. 1. Find the volume of the sphere whose radius is 6. ________ _____ _ _______[...]

  • Page 21

    Calculator Acti vity A NGL E C ONVERSION S OBJECTI VE: To make angle conversions by fi nding the missing a ngle of a po lygo n. Angles can be expressed in degrees, radians and grads. Degrees can be expressed in either decimal degrees or degrees - minutes - seconds. Remember 180  =  radians = 200 grads. The formula for the sum of the angles of[...]

  • Page 22

    NAME _____ ______ ______ _____ ________ ______ _______ DAT E______ ______ ____ A NGL E C ONV ERSIONS The sum of the angles in degrees of an n - side pol ygon is 180(n - 2). Remember    180 radians 200  grads. Before inputting an angle for conversion press and then choose the correspond ing angular units. Use y our EL - W 535 B to find t[...]

  • Page 23

    Calculator Acti vity TRIGONOMETR IC FUNCTIONS OBJECTI VE: To find the distance between points by using trigonometric functions. The law of sines and the law of c osines can he lp determine the sides and angles of triangles. The law of sines is as foll ows    sin sin sin c b a   . The law of cosines is as follows  cos 2 2 2 2 ab b [...]

  • Page 24

    NAME _____ ______ ______ _____ _______ _____________ _ DATE______ __________ TRIGONOMETR IC FUNCTIONS Use your EL - W 535B toge ther with the law of sines and the law of c osines to find the distance of the missing side The law of sines is    sin sin sin c b a   . The law of cosines is  cos 2 2 2 2 ab b a c    . 1. Given [...]

  • Page 25

    Calculator Acti vity INVERSE TRIGONOMETRIC F UNCTIONS OBJECTI VE: To perform operations w ith inverse trigonometric functions. 1. Find  in degrees when 1 tan   STEP 1: Set t he angular units to degrees by pre ssing . STEP 2: Enter ) 1 ( tan 1  by pressing . STEP 3: Calculate the answer by pr essing . 2. Find  in degrees when 0 cos ?[...]

  • Page 26

    NAME _____ ______ ______ _____ ________ ______ _______ DAT E______ ______ ____ INVERSE TRIGONM ETRIC FUNCTION S Use your EL - W 535B and the law of sines and the law of cosines to find the missing angle. The law of sines is    sin sin sin c b a   . The law of cosines is  cos 2 2 2 2 ab b a c    . 1. Given     [...]

  • Page 27

    Calculator Acti vity COORDIN A TE CONVERSION S OBJECTI VE: To convert from polar coordinates to rectangular coord inates and vice versa. A point on a ci rcle can be described w ith rectangular coordinates ) , ( y x or polar coordinate s ) , (  r , where r is t he radius o f th e circle and  is the angle counterclockwise from the positive x - [...]

  • Page 28

    NAME _____ ______ ______ _____ ________ ______ _______ DAT E______ ______ ____ COORDIN A TE CONVERSION S A point on a ci rcle can be described w ith rectangular coordinates ) , ( y x or polar coordinate s ) , (  r , where r is t he radius o f th e circle and  is the angle co unter clockwise for t he positive x - axis. Before converting, press[...]

  • Page 29

    Calculator Acti vity LOGARITHMS OBJECTI VE: To get a basic understanding o f logarithms base 10, base e , and other bases by solving equations. 1. Find 1000 log . STEP 1: Enter log b y pressing . STEP 2: Enter 1 000 by pressing . STEP 3: Calcula te the answer by pressing . 2. Find 10 log . STEP 1: Enter log b y pressing . STEP 2: Enter 10 by pressi[...]

  • Page 30

    NAME _____ ______ ______ _____ ________ ______ _______ DAT E______ ______ ____ LOGARITHMS Use your EL - W 535B to solve to following equations for the unknow n. 1. Solve for x . 123 log 2 5   x ________ _____ ________ 2. Solve for y . ) 3 ln 1 ( 5 21    y ________ _____ ________ 3. Solve for z . 2 36 log 54 6   z ________ _____[...]

  • Page 31

    Calculator Acti vity INVERSE LOG ARITHMS OBJECTI VE: To perform antilogarith mic operations. 1. Calculate 3 2 10  STEP 1: Enter 10^ b y pressing . STEP 2: Enter 3 2  by pressing . STEP 3: Calculate the answer by pr essing . 2. Find 3 6 10  in scientific notation with three signi ficant figures. STEP 1: Set the calculat or to scienti fic no[...]

  • Page 32

    NAME _____ ______ ______ _____ ________ ______ _______ DAT E______ ______ ____ INVERSE LOG ARITHMS Use your EL - W 535B to solve the following equations for the given unknown. 1. Solve for x . 2 * 6 5 10 2    x ________ _____ ________ 2. Solve for y . 2 5 e y  ________ _____ ________ 3. Solve for z . 3 2 10 3 1    z ________ __[...]

  • Page 33

    Calculator Acti vity BASE CONVER SIONS OBJECTI VE: To convert to and from binary , decimal, hexadeci mal, octadecimal, and pentadecimal base sy stems. Before converting press followed by eith er , , , , . 1. Convert the binary number 10011001 to decima l. STEP 1: Set t he calculato r to bin ary by pressing . STEP 2: Enter 10011001 by pressi ng . ST[...]

  • Page 34

    NAME _____ ______ ______ _____ ________ ______ _______ DAT E______ ______ ____ BASE CONVER SIONS Use your EL - W 535B to convert to and from binary, decimal, hexadeci mal, octadecimal, and pentad ecimal base systems. Before converting make sure you are in the right base system by pressing f ollowed by either , , , , . 1. Convert the octadecimal nu [...]

  • Page 35

    Calculator Acti vity RANDOM NUMB ERS, DIE, COI NS, A ND I NTEGERS OBEJCTI VE: To generate random numbers , dice throws, coin tosses, and integers. 1. Generate 4 random numbers. STEP 1: Press . STEP 2: To genera te random numbers press . STEP 3: Generate the fir st random number by pressing . STEP 4: Generate the seco nd random number by pressing . [...]

  • Page 36

    NAME _____ ______ ______ _____ ________ ______ _______ DAT E______ ______ ____ RANDOM NU MBERS, DI E, COINS, A ND I NTEGERS Use your EL - W 535B to help generated a sequenc e of r andom number s, dice, coins, and integers. 1. Generate a sequence of 4 random integers . ___, ___, ___, ___ 2. Generate a sequence of 5 random dice throw s. ___, ___, ___[...]

  • Page 37

    Calculator Acti vity PROB A BILI TY OBJECTI VE: To get a bas ic understanding factorials, combina tions, and permutat ions. A combination is used when order does not matter. A permutation is used when order does m atter. 1. Find ! 10 . STEP 1: Enter ! 10 by pressing . STEP 2: Calculate by pressin g . 2. How m any d iff erent ways can y ou choose 1 [...]

  • Page 38

    NAME _____ ______ ______ _____ ________ ______ _______ DAT E______ ______ ____ PROB A BILI TY Use your EL - W 535B to f ind the f ollowing number of c omb inations and permutations and to evaluate factorials . 1. How m any g roups or 4 can be formed from a c lass of 10 w here order does not matter? ________ _____ ________ ______ _ 2. How many group[...]

  • Page 39

    Calculator Acti vity 1 VARI A BLE STATIS TICS OBJECTI VE: To perform 1 variable statis tics. 1. Analyz e the set   50 , 35 , 35 , 25 , 15 using 1 variable statistics. STEP 1: Set t he calculato r to single v ariable stati stics b y pressing . STEP 2: Enter 15 by pressi ng . STEP 3: Enter 25 by pr essing . STEP 4: Enter 35 two times by pressin[...]

  • Page 40

    NAME _____ ______ ______ _____ ________ ______ _______ DAT E______ __ ________ 1 VARI A BLE STATIS TICS Use your EL - W 535B to analyz e the f ollowing sets using 1 variable statistics. 1. Analyze the s et } 3 , 3 , 3 , 3 , 2 , 2 , 2 , 1 , 1 {  x ________ _____ _  sx ________ _____ _  x  ________ _____ _  n ________ _____ _   x[...]

  • Page 41

    Calculator Acti vity 2 VARI A BLE STATISTICS & LINE AR REGR ESSION OBJECTI VE: To perform 2 variable statistics and run a linear regression Analyze the d ata set usi ng 2 variable statistics and p erform a linea r regression . X 1 1 2 3 10 Y 2 2 4 7 10 STEP 1: Set t he calculato r to 2 v ariable statistics by pressing . STEP 2: Enter 1,2 two ti[...]

  • Page 42

    NAME _____ ______ ______ _____ ________ ______ _______ DAT E______ ______ ____ 2 VARI A BLE STATISTICS & LINE AR REGR ESSION Use your EL - W 535B to analyz e the f ollowing sets using 2 variable statistics and t o perform a li near regression. 1. Analyze the s et and run a l inear regression. X 1 2 3 4 Y 1 2 4 8  x ________ _____ _  sx __[...]

  • Page 43

    ANSWERS Basic Arithmetic p. 9: 1. 67, 80 2. 23 3. – 10, - 50, - 250 p. 10: 1. 21 , 17 , 13 , 9 , 5 , 1 , 3  2. 5 , 4 , 3 , 2 3. 18 , 15 , 12 , 9 , 6 4. 36 , 72 , 144 5. , 243 , 729  3 , 9 , 27 , 81   6. 2025 , 45 , 1 7. 60 , 70 , 80 , 90 , 100 8. 61 , 41 , 21 , 1 Logarithms p. 25: 1. 3 2. 1 3. 1 4. 2 5. 2 p. 26: 1. 180 . 9 2. 507 . 10[...]