Sharp EL-W516B - Scientific Calculator With... User manual

EL
-
W516B Calculator
Teaching Activities
For The Classroom
Jeremy Ross

Copyright © 2008 by Sharp Electronics Corporation.
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.

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
ANGLE CONVERSIONS
Calculator Activity
Practice Activity
TRIGONOMETRIC FUNCTIONS
Calculator Activity
Practice Activity
INVERSE TRIGONOMETRIC FUNCTIONS
Calculator Activity
Practice Activity
COORDINATE CONVERSIONS
Calculator Activity
Practice Activity
LOGARITHMS
Calculator Activity
Practice Activity
INVERSE LOGARITHMS
Calculator Activity
Practice Activity
BASE CONVERSIONS
Calculator Activity
Practice Activity
CONSTANTS AND CONVERSIONS
Calculator Activity
Practice Activity
RANDOM NUMBERS, DIE, COINS, AND INTEGERS
Calculator Activity
Practice Activity
1
2
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35

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
SUMMATION
Calculator Activity
Practice Activity
DERIVATIVES
Calculator Activity
Practice Activity
INTEGRALS
Calculator Activity
Practice Activity
ANSWERS
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56

1

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
for NORMAL,
for STAT,
for DRILL,
for
CPLX,
for MAT
RIX,
for LIST, and
for EQUATION.


Degrees.
The EL
-
W516B can be set to degrees, radians, or grads. Press
and enter
for DRG. Then press
for degrees,
for
radians, and
for grads.


Math.
The math menu has different contents that can be access
ed for each
mode. To access the math menu for any mode press
. Then choose the
desired tab.


Display.
There are five display notation systems. To set the number of decimals
places press
for FSE. For fixed decimal type
and then
choose your TAB o
r decimal setting. To set the calculator for scientific notation
press
. Now enter the number of significant figures. To set the calculator
for engineering notation press
and then enter the desired TAB setting. To
set the floating
-
point number system
in scientific notation press either
or
to choose NORM1 or NORM2. To choose WriteView, which displays
formulas and equations just like textbooks, press
followed by
.
Then press
. For Line Editor press
followed by
. Then
press
. If in Lin
e Editor you can choose an entry mode by pressing
and then
for insert and
for overwrite. To name
your calculator press
. Use
to select your
characters,
to move the cursor, and press
to finish your entry.


Hyperbolic Functions.
Press
and the function key,
,
, or
.
Enter the angle. Then press
.


Trigonometric Functions.
Press the trigonometric function key,
,
, or
. Enter the angle. Then press
.
2



Inverse Hyperbolic Functions.
Press
followed by
and the inverse
trigonom
etric function key
,
,
. Enter the value. Then press
.


Inverse Trigonometric Functions.
Press
followed by the inverse
trigonometric function key
,
,
. Enter the value, then press
.


Integral.
Press
. Enter the lower bound. Then press
a
nd enter the
upper bound. Then press
and enter the integrand. Press
for the
solution.


Derivative.
Press
. Enter the function. Then press
and enter
the value, which the function is being evaluated at.


Constant.
Press
and then enter the corr
esponding value for the constant
you want.


Conversion.
Enter the number you wish to convert. Press
and then
enter the corresponding value for the conversion. Then press
.


Pi.
Press
.


Imaginary Numbers.
When in CPLX mode press
.


Summation.
Press
. Enter the lower bound. Press
and enter
the upper bound. Press
and enter the expression. Then press
.


Degrees
-
Minutes
-
Seconds.
Enter the degrees. Press
. Enter the minutes.
Press
. Enter the seconds. Press
. Press
to convert t
o
decimal degrees.


Exponents.
Enter the base. Press
. Enter the exponent. Press
.


Square roots.
Press
. Enter the radicand. Then press
.


Squares.
Enter the number to be squared. Press
. Then press
.
3



Base 10 Logarithms.
Press
. Enter
the number. Then press
.


Base e Logarithms.
Press
. Enter the number. Then press
.


Base Logarithms.
If in WriteView mode press
. Enter the base. Then
press
and enter the number. Then press
. If in Line Editor press
. Enter the base.
Then press
. Enter the number. Then Press
.


Higher roots.
Enter the index. Press
followed by
. Enter the
radicand. Then press
.


Cube roots.
Press
. Enter the radicand. Then press
.


Reciprocals.
Enter the number. Press
followed by
. Then press
.


Antilogarithms.
Press
. Enter the exponent. Then press
.


Exponentials.
Press
followed by
. Enter the exponent. Then press
.


Cubes.
Enter the number to be cubed. Press
. Then press
.


Scientific Notation.
Enter the
number. Press
. Enter the power. Then
press
.


Euler’s Number.
To enter
e
press
followed by
.


Fractions.
Enter the numerator. Press
. Enter the denominator. Then
press
.


Mixed Numbers.
Enter the whole number. Press
. Enter the
numerator. Press
. Enter the denominator. Then press
.
4



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 sto
re the value A
-
F, M, X, or Y.


Recall Memory.
Press
. Press the location you wish to access A
-
F, M, X,
or Y.


Last Answer Recall.
Perform a calculation. Press the operation key. The last
answer will be recalled. Enter the number. Then press
.


De
finable Memories.
You can store functions or operations in definable
memories (D1
-
D4). Press
. Press the location you wish to store your
function
,
,
,
. Press the operation you want to store.


Formula Memories.
You can store expressions in formula
memories (F1
-
F4).
Enter the expression you wish to store. Press
. Press the location you
wish to store your function
,
,
,
.


Change.
You can change your answer from decimals to mixed numbers to
fractions by pressing
. Also, you can change your
answer from decimals or
fractions to answer containing the pi symbol or square root symbol by pressing
.


Random.
You can generate random numbers, dice, coin flips, or integers. Press
. Press
for random numbers between 0 and 1. Press
for rando
m dice rolls from 1 to 6. Press
for random coin flips where 0 is
heads and 1 is tails. Press
for random integers between 0 and 99.


P<
-
>R Conversion.
To convert to polar coordinates enter your x
-
coordinate first.
Then press
. Then enter the y
-
coo
rdinate. Press
. To convert
to rectangular coordinates enter your r
-
value. Press
. Then enter your
theta. Press
.


Factorial.
Enter the number. Press
followed by
. Then press
.


Combinations.
Enter the larger number. Press
. Enter the
smaller
number. Then press
.
5



Permutations.
Enter the larger number. Press
followed by
. Enter
the smaller number. Then press
.


Signed Numbers.
Enter
. Enter the number.


Absolute Value.
Press
. Enter the expression. 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. Then press
.


Octadecimal.
To convert from one of the s
upported base systems into
octadecimal enter the number. Then press
.


Decimal.
To convert from one of the supported base systems into decimal enter
the number. Then press
.


Pentadecimal.
To convert from one of the supported base systems into
pent
adecimal enter the number. Then press
.
6

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.
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
d
dx
x

2
1
2
7

Using the Sharp EL
-
W516B Calculator
GETTING STARTED
The National Council of Teachers of Mathematics and many other organizations with a
commitment to the mathematics education of our youth have all given their support to
the ongoing and appropriate use of calculators. In this document, con
vincing arguments
for the ongoing use of calculators to enhance the mathematical capabilities of students
at all grade levels are presented as well as a description of the features expected to be
available on calculators. The EL
-
W516B uses WriteView

tech
nology and allows
students to enter equations as they are seen in their textbooks.
ACTIVITY AND PRACTICE SHEETS
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. Of course, the classroom teac
her can and should make the decision as
the appropriateness of each activity.
Each activity page has an objective statement and some practice key strokes. The
activity page does not attempt to teach mathematics. It only identifies the mathematics
being
used and demonstrates the calculator key strokes necessary to conduct a
calculation. The practice page provides activities for the students to practice using the
key strokes presented on the activity page. Answers to the activity and practice sheets
are
provided at the end of this booklet.
8

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
pow
erful mathematical tool.
9

Calculator Activity
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

10
,
8
,
6
,
4
1. Add 13 to 54 twice:
STEP 1: Enter 13 by pressing
.
STEP 2: Add by pressing
.
STEP 3: Enter 54 by pressing
.
STEP 4: Find the first sum by pressing
.
STEP 5: Add 13 again by pressing
.
2. Subtract
9 from 32 once.
STEP 1: Enter 32 by pressing
.
STEP 2: Subtract by pressing
.
STEP 3: Enter 9 by pressing
.
STEP 4: Find the difference by pressing
.
3. Multiply
-
2 by 5 three times.
STEP 1: Enter
–
2 by pressing
followed by
.
STEP
2: Multiply by pressing
.
STEP 3: Enter 5 by pressing
.
STEP 4: Find the first product by pressing
.
STEP 5: Multiply by 5 again by pressing
.
STEP 6: Multiply by 5 a third time by pressing
.
10

NAME ___________________________________________ DATE________________
BASIC ARITHMETIC
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.
Find the first four numbers of the sequence starti
ng with 2 where each
additional term is found by adding 1.
2, ___, ___, ___, …
3.
Find the first five numbers of the sequence starting with 6 where each
additional term is by adding 3.
6, ___, ___, ___, ___, …
4.
Find the first three numbers of the sequenc
e starting with 144 where each
additional term is found by dividing by 2.
144, ___, ___, …
5.
Find the first six terms of the sequence starting with 729 where each
additional term is found by dividing by
–
3.
729, ___, ___, ___, ___, ___, …
6.
Find the first
three terms of the sequence starting with 1 where each
additional term is found by multiplying by 45.
1, ___, ___, …
7.
Find the first five terms of the sequence starting with 100 where each
additional term is found by subtracting 10.
100, ___, ___, ___,
___, …
8.
Find the first four terms of the sequence starting with 1 where each
additional term is found by adding 20.
1, ___, ___, ___, …
11

Calculator Activity
FRACTIONS
OBJECTIVE:
To perform basic operations with fractions.
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 the 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 pressing
.
STEP 3: Enter
13
5
by pressing
.
STE
P 4: Find the difference by pressing
.
STEP 5: Convert to a decimal by pressing
.
3. Simplify
3
2
6
4
3
1

. Then convert to an improper fraction.
STEP 1: Enter
4
3
1
by pressing
.
STEP 2: Multiply by pressing
.
STEP 3: Enter
3
2
6
by pressing
.
STEP 4: Find the product by pressing
.
STEP 5: Convert to an improper fraction by pressing
.
12

NAME ___________________________________________ DATE________________
FRACTIONS
Perform the indicated operations with fractions using your
EL
-
W516B.
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
1
.
3.
Simplify
5
1
9
7
6
20
1
1


.
4.
Simplify
8
7
6
5
4
3
2
1



.
5.
Simplify
3
1
2
1
1
3
1
2
1
1





.
6.
Simplify
11
6
2
1
11
6
2
1
8
5
3
3
4





and convert to an improper fraction.
7.
Simplify
6
1
6
2
3
5
8


.
8.
Simplify
2
2
2
4
5
4
5
2





.
13

Calculator Activity
POWERS AND ROOTS
OBJECTIVE:
To perform basic operations with powers 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 pressing
.
2.
Calculate
6
5
)
3
(
.
STEP 1: Enter
5
3
by pressing
.
STEP 2: Raise the expression to the 6
th
power by pressing
.
STEP 3: Calculate the answer by pressing
.
3.
Calculate
3
1
5

STEP 1: Enter
3
by pressing
.
STEP 2: Enter
1
5

by pressing
.
STEP 3: Calculate the answer by pressing
.
4.
Evaluate
4
2
STEP 1: Enter
4
2
by pressing
.
STEP 2: Calculate the answer by pressing
.
14

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
2
2
2
2
5
4
3
2
1




____________________________
2.
Simplify
5
4
3
2
1




____________________________
3.
Is
?
7
3
)
7
3
(
2
2
2



Explain your answer.
____________________________
____________________________
____________________________
4.
Simplify
3
3
2
____________________________
5.
Simplify
3
33
2
________________________
____
6.
Simplify
2
2
2
4
5
5
2
2
2
4
5
5
2
2











____________________________
15

Calculator Activity
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
3
3
4
r


, where
r
is the
radius of the sphere.
1. Given the radius is
2
find the volume of the sphere.
STEP 1: Enter






3
4
by pressing
.
STEP 2: Insert the pi symbol by pressing
.
STEP 3: Enter
2
by pressing
.
STEP 4: Raise
2
to the third power by pressing
and then
.
STEP 5: Calculate the answer by pressing
.
2. Edit the previous equation and solve the volume of the sphere given
the radius is 1. Then co
nvert the answer to a decimal
STEP 1: Recall the previous equation by pressing
or
.
STEP 2: Move the cursor so it is to the immediate right of the third
power.
STEP 3: Delete the power, the parenthesis, the 2, and the square root by
pressing
five
times.
STEP 4: Enter the number 1 by pressing
followed by
.
STEP 5: Raise 1 to the third power by pressing
.
STEP 6: Calculate the answer by pressing
.
STEP 7: Press
to convert it to an improper fraction. Press
one more time to convert it t
o a decimal.
16