Sharp EL-W516B manual

EL - W516B Calculator Teaching Activities For The Classroom Jeremy Ross[...]

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 .[...]

Table of Contents Calculator Layout Special Functions Examples Using the Sharp EL-W516B 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[...]

PROBABILITY Calculator Activity Practice Activity 1 VARIABLE STATISTICS Calculator Activity Practice Activity 2 VARIABLE STATISTICS & LINEAR REGRESSION Calculator Activity Practice Activity COMPLEX NUMBERS Calculator Activity Practice Activity MATRIX CALCULATIONS Calculator Activity Practice Activity LIST CALCULATIONS Calculator Activity Practi[...]

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S pecial Func tions of the Sharp EL - W 516B Calculator   Modes. This calculator has seven modes: NORMAL, STAT, DRILL, CPLX, MATRIX, LIST, and EQUATION m ode. To a ccess these modes press followed by f or NORM AL, f or S TAT, for DRI LL, for CPLX, for MAT RIX, for LIST, and f or E QUATION.   Degrees. The EL - W 516 B can be set t o degr[...]

  Inverse Hyperbolic F unct ions. Press followed by and the inverse trigonom etric function key , , . Enter the value. Then press .   Inverse Trigonometric Functions. Press f ollow ed by the i nverse trigonometric function key , , . Enter the value, then press .   Integral. Press . Enter the lower bound . The n pre ss a nd enter t[...]

  Base 10 Logarithms. Press . Enter the number . T hen press .   Base e Logarithms. Press . Enter the number. Then p ress .   Base Logarithms. If in W ri teView mode press . Enter the base. Then press and en ter the num ber. T hen press . If in Lin e Editor press . Enter the base. Then press . Enter the number. Then P ress .  ?[...]

  Memory. The calculator has 9 memories. Memory calculations can be performed in NORMAL and STAT modes. Enter the value to be stored. Press . Press the location yo u wish to sto re the value A - F, M, X, o r Y.   Recall Memory. Press . Press the location y ou wish to access A - F, M, X, or Y.   Last Answe r Recall. Perform a calcu[...]

  Permutations. Enter the larger n umber. Press followed by . Enter the smaller numb er. Then press .   Signed Numbers. Enter . Enter the number.   Absolute Value. Press . Enter the express ion. Press .   Binary. To convert from one of the supported base systems into binary enter the number. Then press .   Hexadecimal.[...]

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 5  x x dx[...]

Using the Sharp EL - W516B 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[...]

TEACHING ACTIVITIES FOR THE C LASSROOM The Sharp EL - W 516B 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. 9[...]

Calculator Acti vity BASIC ARITHMETIC OBJECTI VE: To perform basic operations by developing a sequence o f numbers. Performing a specified operation repe atedly ca n generate a sequen ce of 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: Ente[...]

NAME _____ ______ ______ _____ ________ ______ _______ DAT E______ ______ ____ BASIC ARITHMETIC Use your EL - W 516B 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[...]

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[...]

NAME _____ ______ ______ _____ ________ ______ _______ DAT E______ ______ ____ FR A CTIO NS Perform the ind icated operat ions with fractions using y our EL - W 516B. 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 [...]

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 pressing . STEP 3: Calculate the answer by pr essing . 2. Calculate 6 5 ) 3 ( . STEP 1: Enter 5 3 by pressing . STEP 2: Raise the expr ession to the 6 th pow er by pressing . [...]

NAME _____ ______ ______ _____ ________ ______ _______ DAT E______ ______ ____ POWERS AND ROO TS Use your EL - W 516B 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     ________ _____ [...]

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[...]

NAME _____ ______ ______ _____ ________ ______ _______ DAT E______ ______ ____ PARENTHE SE S A ND EDITING Use your EL - W 516B 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. ________ _____ _ _______[...]

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[...]

NAME _____ ______ ______ _____ ________ ______ _______ DAT E______ ______ ____ A NGL E C ON VERSIONS 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 corresponding angular units. Use your EL - W 516 B to f ind th[...]

Calculator Acti vity TRIGONOM ETRIC FUN CTIONS 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[...]

NAME _____ ______ ______ _____ _______ _____________ _ DATE______ __________ TRIGONOMETR IC FUNCTIONS Use your EL - W 516B 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 [...]

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 ?[...]

NAME _____ ______ ______ _____ ________ ______ _______ DAT E______ ______ ____ INVERSE TRIGONM ETRIC FUNCTION S Use your EL - W 516B 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     [...]

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 - [...]

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[...]

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 by pressing . STEP 2: Enter 1 000 by pressing . STEP 3: Calcula te the answer by pressing . 2. Find 10 log . STEP 1: Enter log by pressing . STEP 2: Enter 10 by pressing[...]

NAME _____ ______ ______ _____ ________ ______ _______ DAT E______ ______ ____ LOGARITHMS Use your EL - W 516B 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 ________ _____[...]

Calculator Acti vity INVERSE LOG ARITHMS OBJECTI VE: To perform antilogarith mic operations. 1. Calculate 3 2 10  STEP 1: Enter 10^ by p ressing . 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[...]

NAME _____ ______ ______ _____ ________ ______ _______ DAT E______ ______ ____ INVERSE LOG ARITHMS Use your EL - W 516B 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 ________ __[...]

Calculator Acti vity BASE CONVER SIONS OBJECTI VE: To convert to and from binary , decimal, hexadecima l, 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[...]

NAME _____ ______ ______ _____ ________ ______ _______ DAT E______ ______ ____ BASE CONVER SIONS Use your EL - W 516B 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 [...]

Calculator Acti vity CONST A NTS AND C ONVERSIONS OBJECTI VE: To use constants t o aid in solving 2 mc E  and to perform conversion s. Use Einstein’s equation to solve for energy : 2 mc E  . 1. W ha t is the ener gy of an o bject given the mass of that ob ject is 100 kilograms? ST EP 1: Ent er 100 by pr essing . STEP 2: To multiply b y the [...]

NAME _____ ______ ______ _____ ________ ______ _______ DAT E______ ______ ____ CONST A NTS AND C ONVERSIONS Use your EL - W 516B to use constants and to convert wh en necessary. Use Einstein’s equation to help solve some of the questions : 2 mc E  . 1. How much energy does a particle whose mass is 10 kilograms have? ________ _____ _______ 2. H[...]

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 first ra ndom number by pressing . STEP 4: Generate the seco nd random number by pressing . [...]

NAME _____ ______ ______ _____ ________ ______ _______ DAT E______ ______ ____ RANDOM NU MBERS, DI E, COINS, A ND I NTEGERS Use your EL - W 516B 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. ___, ___, ___[...]

Calculator Acti vity PROB A BILI TY OBJECTI VE: To get a bas ic understanding factorials, combination s, 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 pressing . 2. How m any d iff erent w ays can y ou choose 1 [...]

NAME _____ ______ ______ _____ ________ ______ _______ DAT E______ ______ ____ PROB A BILI TY Use your EL - W 516B 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 clas s of 10 w here order does not matter? ________ _____ ________ ______ _ 2. How many group[...]

Calculator Acti vity 1 VARI A BLE STATIS TICS OBJECTI VE: To perform 1 variable statistics. 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 pressing . STEP 3: Enter 25 by pr essing . STEP 4: Enter 35 two times by pressing [...]

NAME _____ ______ ______ _____ ________ ______ _______ DAT E______ __ ________ 1 VARI A BLE STATIS TICS Use your EL - W 516B 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[...]

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[...]

NAME _____ ______ ______ _____ ________ ______ _______ DAT E______ ______ ____ 2 VARI A BLE STATISTICS & LINE AR REGR ESSION Use your EL - W 516B 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 __[...]

Calculator Acti vity COMPLEX NU MBERS OBJECTI VE: To calculate the modulus, the comp lex conjugate, and to simplify complex expressions. The absolute value or modulus of a complex numb ers is defined as 2 2 y x iy x    . Before starting put your calculato r in CPLX mode by pressing . 1. W ha t is the modulus of i  2 ? STEP 1: To start t[...]

NAME _____ ______ ______ _____ ________ ______ _______ DAT E______ ______ ____ COMPLEX NU MBERS Use your EL - W 516B to f ind the m odulus, the complex conjugate, and t o simplify complex ex pressions . 1. W ha t is the modulus of i ? ________ _____ _______ 2. W ha t is the modulus of 2 3 i  ? ________ _____ _______ 3. W ha t is the complex conj[...]

Calculator Acti vity MATRIX C ALCUL ATIONS OBJECTI VE: To perform calculations, take inverses, aug ment, and calculate the determinant of matrices. To set y our calculator to Matrix mode press . For the following examples there will be two matrices: A and B 4 3 2 1  A and 8 7 6 5  B . To enter m atrix A press . Then press . Then press . To en[...]

NAME _____ ______ ______ _____ ________ ______ _______ DAT E______ ______ ____ MATRIX C A LCUL ATIONS Use your EL - W 516B to perform calculations with matrices. For the following problems use: 8 6 4 2  A , 7 5 3 1  B , 34 21 13 8 5 3 2 1 1  C , 1 0 0 0 1 0 0 0 1  D . 1. Calculate 1  D ________ _____ _______ 2. Evaluate CD ________ _[...]

Calculator Acti vity LIST C ALCULATIONS OBJECTI VE: To perform calculations and to determine statis tical information with lists. To set y our calculator to Matrix mode press . For the follow ing examples L1= {1,2,3} and L2 ={5,10,15}. To enter the data into L1 press . Then p ress . After this press . To enter the data into L2 press . Then p ress .[...]

NAME ______________ ___________ _________________ _ DATE_______ ________ _ LIST C ALCULATIONS Use your EL - W 516B to perform the necessary calculations. 1. Put {1,3,5} in L1 and {2,4,6} in L2. Multiply L1 and L2 and put this new list into L3. T hen determine the min, max , mean, median, sum, product, standa rd deviation, and variance of L3. Min = [...]

Calculator Acti vity LINE A R, QU ADR A TIC, AND CUBIC EQU ATIONS OBJECTI VE: To solve l inear, quadratic, and cubi c e quations. For EQUATION mode p ress . 1. Solve the two equations for x and y: 7 4 3 5 2 1     y x y x STEP 1: Choose 2 - VLE b y pressing . STEP 2: Enter the coeffi cients for the first equation by pressi ng . STEP 3: E[...]

NAME _____ ______ ______ _____ ________ ______ _______ DAT E______ ______ ____ LINE A R, QU ADR A TIC, AND CUBIC EQU ATIONS Use your EL - W 516B to solve the following linear, quadrat ic, and cubic equations. Set your calculator to EQUATION mode b y pressing . 1. Solve the two linear equations for x and y : 0 5 3 10 2      y x y x __[...]

Calc ulator Acti vity SUMM ATION OBJECTI VE: To calculate the sum of a series. 1. Evaluate  5 0 ! x STEP 1: Bring u p the summation sy mbol by pressing . STEP 2: Enter the lower bound 0 b y pressing . STEP 3: Enter the upper bound 5 by pressing . STEP 4: Enter ! x by pressing . STEP 5: To determine the sum of the series pres s . 2. Evaluate  [...]

NAME _____ ______ ______ _____ ________ ______ _______ DAT E______ ______ ____ SUMM ATION Use your EL - W 516B to calculate the sum of the series. 1. Evaluate  5 1 2 x ________ _____ _______ 2. Evaluate  10 3 3 1 2 x ________ _____ _______ 3. Evaluate  4 0 2 x e ________ _____ _______ 4. Evaluate   9 1 ln x x x ________ _____ _______[...]

Calculator Acti vity DER IV ATIVES OBJECTI VE: To calculate the derivative at a given point. 1. Evaluate 3 x dx d whe re 5  x STEP 1: Press . STEP 2: Enter 3 x by pressing . STEP 3: Enter 5 by pressing . STEP 4: To solve press . 2. Evaluate x dx d sin whe re   x radians STEP 1: Set t he calculato r to radians by pressing . STEP 2: Press . [...]

NAME _____ ______ ______ _____ ________ ______ _______ DAT E______ ______ ____ DERIV A TIVE S Use your EL - W 516B to calculate the derivative . 1. Evaluate x dx d when 2  x ________ _____ ______ 2. Evaluate x x dx d when 5  x ________ _____ ______ 3. Evaluate x x dx d 2 3  whe n 1 . 3  x ________ _____ ______ 4. Evaluate x e dx d when [...]

Calculator Acti vity INTEGR A LS OBJECTI VE: To find the area under a curve by evaluating integrals. 1. Find the area under the curve of x given the l ower bound is 1 and the upper bound is 2. STEP 1: Press . STEP 2: Enter the lower bound of 1 b y pressing . STEP 3 : Enter the upper bound of 2 by p ressing . STEP 4: Enter x by pressing . STEP 5: Ev[...]

NAME _____ ______ ______ _____ ________ ______ _______ DAT E______ ______ ____ INTEGR A LS Use your EL - W 516B to find the area under the given curve using integration. 1. Find the area under the curve of x given the low er bound i s - 1 and the upper bound is 1 ________ _____ _______ 2. Find the area under of 2 x given the low er bound is - 1 and[...]

ANSWERS Basic Arithmetic p. 10: 1. 67, 80 2. 23 3. – 10, - 50, - 250 p. 11: 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 Inverse Tri gonometri c Functions p. 22: 1.  45 2.  90 3. 4  p[...]

ANSWERS Random p. 34: Answers will vary p. 35: Answers will vary List Calculati ons p. 46: 1. 18 , 12 , 6 2. 5 , 10 , 15 3. 1 p. 47: 1. 333 . 201 , 189 . 14 , 720 , 44 , 12 , 67 . 14 , 30 , 2 2. 9 . 19 , 461 . 4 , 214200 , 51 , 5 . 7 , 5 . 8 , 17 , 5 Probabili ty p. 36: 1. 3628 800 2. 6 3. 12 p. 37: 1. 210 2. 5040 3. 455 4. 2730 5. 120 6. 1, 1 Line[...]