Sharp EL-W516B Operation Manual

Sharp EL-W516B Operation Manual

Teaching activities for the classroom
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EL-W516B Calculator
Teaching Activities
For The Classroom
Jeremy Ross

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Summary of Contents for Sharp EL-W516B

  • Page 1 EL-W516B Calculator Teaching Activities For The Classroom Jeremy Ross...
  • Page 2 All rights reserved. This publication may not be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise without written permission. Sharp is a registered trademark of Sharp Corporation.
  • Page 3: 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 Activity...
  • Page 4 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 Practice Activity LINEAR, QUADRATIC, AND CUBIC EQUATIONS Calculator Activity Practice Activity...
  • Page 6: Special Functions

    Special Functions of the Sharp EL-W516B Calculator  Modes. This calculator has seven modes: NORMAL, STAT, DRILL, CPLX, MATRIX, LIST, and EQUATION mode. To access these modes press followed by CPLX, for MATRIX,  Degrees. The EL-W516B can be set to degrees, radians, or grads. Press...
  • Page 7  Inverse Hyperbolic Functions. Press trigonometric function key  Inverse Trigonometric Functions. Press trigonometric function key  Integral. Press . Enter the lower bound. Then press upper bound. Then press solution.  Derivative. Press the value, which the function is being evaluated at. ...
  • Page 8  Base 10 Logarithms. Press  Base e Logarithms. Press  Base Logarithms. If in WriteView mode press press and enter the number. Then press . Enter the base. Then press  Higher roots. Enter the index. Press radicand. Then press ...
  • Page 9  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 you wish to store the value A-F, M, X, or Y.  Recall Memory. Press or Y.
  • Page 10  Permutations. Enter the larger number. Press the smaller number. Then press  Signed Numbers. Enter  Absolute Value. Press  Binary. To convert from one of the supported base systems into binary enter the number. Then press  Hexadecimal. To convert from one of the supported base systems into hexadecimal enter the number.
  • Page 11: Examples

    Examples: Please refer to the following examples and the keystrokes required to enter each problem. From these simple examples more complicated expressions can be easily entered.  2  17    153      1  tanh ...
  • Page 12: Using The Sharp El-W516B Calculator

    The twenty-four calculator activities and practice sheets found in this book have been designed to be used with the Sharp EL-W516B calculator. The activities have been written and developed for students in grades nine through twelve. Some of the activities will be more appropriate for students in a particular grade, while others could be used at any grade level.
  • Page 13: Teaching Activities For The Classroom

    TEACHING ACTIVITIES FOR THE CLASSROOM The Sharp EL-W516B was designed with you and your students in mind. The following activities have been written to provide the practice students need to succeed in mathematics, as they become familiar with the wonderful features of this exciting and...
  • Page 14: Basic Arithmetic

    BASIC ARITHMETIC OBJECTIVE: To perform basic operations by developing a sequence of numbers. Performing a specified operation repeatedly can generate a sequence of numbers. For example, if you start with the number 4 and add 2 repeatedly you will generate the sequence 1.
  • Page 15: Practice Activity

    NAME ___________________________________________ DATE________________ Use your EL-W516B to develop a series of sequences. 1. Find the first seven numbers of the sequence starting with –3 where each additional term is found by adding 4. -3, ___, ___, ___, ___, ___, ___, … 2.
  • Page 16: Fractions

    OBJECTIVE: To perform basic operations with fractions. 1. Simplify STEP 1: Enter STEP 2: Add by pressing STEP 3: Enter STEP 4: Find the sum by pressing 2. Simplify STEP 1: Enter STEP 2: Subtract by pressing STEP 3: Enter STEP 4: Find the difference by pressing STEP 5: Convert to a decimal by pressing 1 ...
  • Page 17: Practice Activity

    NAME ___________________________________________ DATE________________ Perform the indicated operations with fractions using your EL-W516B. 1. Find the arithmetic mean of the following fractions 2. Find the arithmetic mean of the following fractions and convert to a decimal  3. Simplify  4. Simplify ...
  • Page 18: Powers And Roots

    POWERS AND ROOTS OBJECTIVE: To perform basic operations with powers and roots. 1. Calculate STEP 1: Enter STEP 2: Cube it by pressing STEP 3: Calculate the answer by pressing 2. Calculate STEP 1: Enter STEP 2: Raise the expression to the 6 STEP 3: Calculate the answer by pressing 3.
  • Page 19: Practice Activity

    NAME ___________________________________________ DATE________________ POWERS AND ROOTS Use your EL-W516B to perform the indicated operations with the following equations that contain powers and roots. 1. Simplify ____________________________ 2. Simplify ____________________________  3. Is ____________________________ ____________________________ ____________________________ 4. Simplify ____________________________ 5. Simplify ____________________________ ...
  • Page 20: Parentheses And Editing

    PARENTHESES AND EDITING OBJECTIVE: To perform basic operations with parentheses by finding the volume of a sphere, by recalling the expressions, and editing them to perform a new calculation. The volume of a sphere is defined to be Volume radius of the sphere. 1.
  • Page 21: Practice Activity

    NAME ___________________________________________ DATE________________ PARENTHESES AND EDITING Use your EL-W516B and the formula to find the volume of a sphere. Recall and edit previous equation to prevent typing the whole expression over and over again. Volume 1. Find the volume of the sphere whose radius is 6. 2.
  • Page 22: Angle Conversions

    ANGLE CONVERSIONS OBJECTIVE: To make angle conversions by finding the missing angle of a polygon. 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 an n-side polygon in degrees is 180(n-2).
  • Page 23: Practice Activity

    NAME ___________________________________________ DATE________________ ANGLE CONVERSIONS The sum of the angles in degrees of an n-side polygon is 180(n-2). Remember conversion press angular units. Use your EL-W516B to find the missing angle in the specified units. 1. A triangle has two angles, which are 45 and 60 . Find the missing angle and express your answer in radians.
  • Page 24: Trigonometric Functions

    TRIGONOMETRIC FUNCTIONS OBJECTIVE: To find the distance between points by using trigonometric functions. The law of sines and the law of cosines can help determine the sides and angles of triangles. The law of sines is as follows The law of cosines is as follows 1.
  • Page 25: Practice Activity

    NAME ___________________________________________ DATE________________ TRIGONOMETRIC FUNCTIONS Use your EL-W516B together with the law of sines and the law of cosines to find the distance of the missing side The law of sines is The law of cosines is   1. Given ...
  • Page 26: Inverse Trigonometric Functions

    INVERSE TRIGONOMETRIC FUNCTIONS OBJECTIVE: To perform operations with inverse trigonometric functions.  1. Find in degrees when STEP 1: Set the angular units to degrees by pressing STEP 2: Enter STEP 3: Calculate the answer by pressing  2. Find in degrees when STEP 1: Set the angular units to degrees by pressing STEP 2: Enter...
  • Page 27: Practice Activity

    NAME ___________________________________________ DATE________________ INVERSE TRIGONMETRIC FUNCTIONS Use your EL-W516B and the law of sines and the law of cosines to find the missing angle. The law of sines is The law of cosines is  1. Given  2. Given ...
  • Page 28: Coordinate Conversions

    COORDINATE CONVERSIONS OBJECTIVE: To convert from polar coordinates to rectangular coordinates and vice versa. A point on a circle can be described with rectangular coordinates polar coordinates angle counterclockwise from the positive x-axis. 1. While in degrees convert the rectangular coordinates (1,1) to polar coordinates.
  • Page 29: Practice Activity

    NAME ___________________________________________ DATE________________ COORDINATE CONVERSIONS A point on a circle can be described with rectangular coordinates polar coordinates angle counterclockwise for the positive x-axis. Before converting, press radians, or grads. Use your EL-W516B to find the corresponding point on the circle. 1.
  • Page 30: Logarithms

    OBJECTIVE: To get a basic understanding of logarithms base 10, base bases by solving equations. 1000 1. Find STEP 1: Enter log by pressing STEP 2: Enter 1000 by pressing STEP 3: Calculate the answer by pressing 2. Find STEP 1: Enter log by pressing STEP 2: Enter 10 by pressing STEP 3: Calculate the answer by pressing 3.
  • Page 31: Practice Activity

    NAME ___________________________________________ DATE________________ Use your EL-W516B to solve to following equations for the unknown. 1. Solve for _____________________ 2. Solve for _____________________ 3. Solve for _____________________ 4. Solve for _____________________ 5. Solve for _____________________ 6. Solve for _____________________ LOGARITHMS  5 ...
  • Page 32: Inverse Logarithms

    INVERSE LOGARITHMS OBJECTIVE: To perform antilogarithmic operations. 1. Calculate STEP 1: Enter 10^ by pressing STEP 2: Enter STEP 3: Calculate the answer by pressing  2. Find in scientific notation with three significant figures. STEP 1: Set the calculator to scientific notation with three significant figures by pressing STEP 2: Press STEP 3: Enter 6x3 by pressing...
  • Page 33: Practice Activity

    NAME ___________________________________________ DATE________________ INVERSE LOGARITHMS Use your EL-W516B to solve the following equations for the given unknown. 1. Solve for _____________________ 2. Solve for _____________________ 3. Solve for _____________________ 4. Solve for _____________________ 5. Solve for _____________________ 6. Solve for _____________________ ...
  • Page 34: Base Conversions

    BASE CONVERSIONS OBJECTIVE: To convert to and from binary, decimal, hexadecimal, octadecimal, and pentadecimal base systems. Before converting press 1. Convert the binary number 10011001 to decimal. STEP 1: Set the calculator to binary by pressing STEP 2: Enter 10011001 by pressing STEP 3: Convert to decimal by pressing 2.
  • Page 35: Practice Activity

    NAME ___________________________________________ DATE________________ BASE CONVERSIONS Use your EL-W516B to convert to and from binary, decimal, hexadecimal, octadecimal, and pentadecimal base systems. Before converting make sure you are in the right base system by pressing followed by either 1. Convert the octadecimal number 161033 to pentadecimal. 2.
  • Page 36: Constants And Conversions

    CONSTANTS AND CONVERSIONS OBJECTIVE: To use constants to aid in solving Use Einstein’s equation to solve for energy: 1. What is the energy of an object given the mass of that object is 100 kilograms? STEP 1: Enter 100 by pressing STEP 2: To multiply by the constant c press STEP 3: Square c by pressing STEP 4: Solve for E by pressing...
  • Page 37: Practice Activity

    NAME ___________________________________________ DATE________________ CONSTANTS AND CONVERSIONS Use your EL-W516B to use constants and to convert when necessary. Use Einstein’s equation to help solve some of the questions: 1. How much energy does a particle whose mass is 10 kilograms have? ____________________ 2.
  • Page 38: Random Numbers, Die, Coins, And Integers

    RANDOM NUMBERS, DIE, COINS, AND INTEGERS OBEJCTIVE: To generate random numbers, dice throws, coin tosses, and integers. 1. Generate 4 random numbers. STEP 1: Press STEP 2: To generate random numbers press STEP 3: Generate the first random number by pressing STEP 4: Generate the second random number by pressing STEP 5: Generate the third random number by pressing STEP 6: Generate the fourth random number by pressing...
  • Page 39: Practice Activity

    NAME ___________________________________________ DATE________________ RANDOM NUMBERS, DIE, COINS, AND INTEGERS Use your EL-W516B to help generated a sequence of random numbers, dice, coins, and integers. 1. Generate a sequence of 4 random integers. ___, ___, ___, ___ 2. Generate a sequence of 5 random dice throws. ___, ___, ___, ___, ___ 3.
  • Page 40: Calculator Activity

    OBJECTIVE: To get a basic understanding factorials, combinations, and permutations. A combination is used when order does not matter. A permutation is used when order does matter. 1. Find STEP 1: Enter STEP 2: Calculate by pressing 2. How many different ways can you choose 1 from a group of 6? STEP 1: Enter the larger number, 6, by pressing STEP 2: Enter the combination symbol by pressing STEP 3: Enter the smaller number, 1, by pressing...
  • Page 41: Practice Activity

    NAME ___________________________________________ DATE________________ Use your EL-W516B to find the following number of combinations and permutations and to evaluate factorials. 1. How many groups or 4 can be formed from a class of 10 where order does not matter? 2. How many groups of 4 can be formed from a class of 10 where order does matter? 3.
  • Page 42: Variable Statistics

    1 VARIABLE STATISTICS OBJECTIVE: To perform 1 variable statistics. 1. Analyze the set STEP 1: Set the calculator to single variable statistics by pressing STEP 2: Enter 15 by pressing STEP 3: Enter 25 by pressing STEP 4: Enter 35 two times by pressing STEP 5: Enter 50 by pressing STEP 6: To determine the mean of the sample press STEP 7: To determine the sample mean standard deviation press...
  • Page 43: Practice Activity

    NAME ___________________________________________ DATE________________ 1 VARIABLE STATISTICS Use your EL-W516B to analyze the following sets using 1 variable statistics. 1. Analyze the set   x     x    2. Analyze the set   x  ...
  • Page 44: Variable Statistics & Linear Regression

    2 VARIABLE STATISTICS & LINEAR REGRESSION OBJECTIVE: To perform 2 variable statistics and run a linear regression Analyze the data set using 2 variable statistics and perform a linear regression. STEP 1: Set the calculator to 2 variable statistics by pressing STEP 2: Enter 1,2 two times by pressing STEP 3: Enter 2,4 by pressing STEP 4: Enter 3,7 by pressing...
  • Page 45: Practice Activity

    NAME ___________________________________________ DATE________________ 2 VARIABLE STATISTICS & LINEAR REGRESSION Use your EL-W516B to analyze the following sets using 2 variable statistics and to perform a linear regression. 1. Analyze the set and run a linear regression.     ...
  • Page 46: Complex Numbers

    COMPLEX NUMBERS OBJECTIVE: To calculate the modulus, the complex conjugate, and to simplify complex expressions. The absolute value or modulus of a complex numbers is defined as   Before starting put your calculator in CPLX mode by pressing 1. What is the modulus of STEP 1: To start the absolute value press STEP 2: To enter STEP 3: To enter...
  • Page 47: Practice Activity

    NAME ___________________________________________ DATE________________ COMPLEX NUMBERS Use your EL-W516B to find the modulus, the complex conjugate, and to simplify complex expressions. 1. What is the modulus of ____________________ 2. What is the modulus of ____________________ 3. What is the complex conjugate of ____________________ ...
  • Page 48: Matrix Calculations

    MATRIX CALCULATIONS OBJECTIVE: To perform calculations, take inverses, augment, and calculate the determinant of matrices. To set your calculator to Matrix mode press For the following examples there will be two matrices: A and B  To enter matrix A press To enter matrix B press Now matrix A and B are stored.
  • Page 49: Practice Activity

    NAME ___________________________________________ DATE________________ MATRIX CALCULATIONS Use your EL-W516B to perform calculations with matrices. For the following problems use:  1. Calculate ____________________ 2. Evaluate ____________________ 3. Evaluate ____________________ 4. Augment matrix A with matrix B ____________________ 5. What is the determinant of matrix A? The determinant is done by entering ____________________ ...
  • Page 50: List Calculations

    LIST CALCULATIONS OBJECTIVE: To perform calculations and to determine statistical information with lists. To set your calculator to Matrix mode press For the following examples L1={1,2,3} and L2={5,10,15}. To enter the data into L1 press To enter the data into L2 press Now L1 and L2 are stored.
  • Page 51: Practice Activity

    NAME ___________________________________________ DATE________________ LIST CALCULATIONS Use your EL-W516B 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. Then determine the min, max, mean, median, sum, product, standard deviation, and variance of L3.
  • Page 52: Linear, Quadratic, And Cubic Equations

    LINEAR, QUADRATIC, AND CUBIC EQUATIONS OBJECTIVE: To solve linear, quadratic, and cubic equations. For EQUATION mode press 1. Solve the two equations for x and y: STEP 1: Choose 2-VLE by pressing STEP 2: Enter the coefficients for the first equation by pressing STEP 3: Enter the coefficients for the second equation by pressing NOTE: 3 simultaneous equations can be done by choosing 3-VLE and entered in a simlar fashion as 2-VLE.
  • Page 53: Practice Activity

    NAME ___________________________________________ DATE________________ LINEAR, QUADRATIC, AND CUBIC EQUATIONS Use your EL-W516B to solve the following linear, quadratic, and cubic equations. Set your calculator to EQUATION mode by pressing 1. Solve the two linear equations for x and y: ____________________ Solve the three linear equations for x, y, and z: ____________________ 3.
  • Page 54: Summation

    OBJECTIVE: To calculate the sum of a series.  1. Evaluate STEP 1: Bring up the summation symbol by pressing STEP 2: Enter the lower bound 0 by pressing STEP 3: Enter the upper bound 5 by pressing STEP 4: Enter STEP 5: To determine the sum of the series press ...
  • Page 55: Practice Activity

    NAME ___________________________________________ DATE________________ Use your EL-W516B to calculate the sum of the series.  1. Evaluate ____________________ 2. Evaluate ____________________  3. Evaluate ____________________  4. Evaluate ____________________  5. Evaluate ____________________  6. Evaluate ____________________ SUMMATION  ...
  • Page 56: Derivatives

    OBJECTIVE: To calculate the derivative at a given point. 1. Evaluate STEP 1: Press STEP 2: Enter STEP 3: Enter 5 by pressing STEP 4: To solve press 2. Evaluate STEP 1: Set the calculator to radians by pressing STEP 2: Press STEP 3: Enter STEP 4: Enter STEP 5: To solve press...
  • Page 57: Practice Activity

    NAME ___________________________________________ DATE________________ Use your EL-W516B to calculate the derivative. 1. Evaluate ___________________ 2. Evaluate ___________________ 3. Evaluate ___________________ 4. Evaluate ___________________ 5. Evaluate ___________________ 6. Evaluate ___________________ DERIVATIVES  when  when   when  when   when ...
  • Page 58: Calculator Activity

    OBJECTIVE: To find the area under a curve by evaluating integrals. 1. Find the area under the curve of upper bound is 2. STEP 1: Press STEP 2: Enter the lower bound of 1 by pressing STEP 3: Enter the upper bound of 2 by pressing STEP 4: Enter STEP 5: Evaluate the integral by pressing 2.
  • Page 59: Practice Activity

    NAME ___________________________________________ DATE________________ Use your EL-W516B to find the area under the given curve using integration. 1. Find the area under the curve of the upper bound is 1 ____________________ 2. Find the area under of bound is 1 ____________________ 3.
  • Page 60: Answers

    Basic Arithmetic p. 10: 1. 67, 80 2. 23 3. –10, -50, -250  , 9 , p. 11: 1. , 9 ,   , 9 , 2025 Fractions p. 12: 1. 2. .115 3. p. 13: 1. 2. 0.286 3. ...
  • Page 61 Random p. 34: Answers will vary p. 35: Answers will vary Probability p. 36: 1. 3628800 2. 6 3. 12 5040 p. 37: 1. 2730 6. 1, 1 1 Variable Statistics p. 38: 1. 32,13.038, 11.662, 5, 160, 5800 p. 39: 1. 2.222, 0.833, 0.786, 9, 20, 50 2.

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