EL-W535B Calculator
Teaching Activities
For The Classroom
Jeremy Ross
Table of Contents
Calculator Layout
Special Functions
Examples
1
2
6
7
8
Using the Sharp EL-W535B Calculator
TEACHING ACTIVITIES FOR THE CLASSROOM
BASIC ARITHMETIC
Calculator Activity
9
Practice Activity
10
FRACTIONS
Calculator Activity
Practice Activity
11
12
POWERS AND ROOTS
Calculator Activity
13
14
Practice Activity
PARENTHESES AND EDITING
Calculator Activity
15
16
Practice Activity
ANGLE CONVERSIONS
Calculator Activity
17
18
Practice Activity
TRIGONOMETRIC FUNCTIONS
Calculator Activity
19
20
Practice Activity
INVERSE TRIGONOMETRIC FUNCTIONS
Calculator Activity
21
22
Practice Activity
COORDINATE CONVERSIONS
Calculator Activity
23
24
Practice Activity
LOGARITHMS
Calculator Activity
Practice Activity
25
26
INVERSE LOGARITHMS
Calculator Activity
27
28
Practice Activity
BASE CONVERSIONS
Practice Activity
29
30
Practice Activity
RANDOM NUMBERS, DIE, COINS, AND INTEGERS
Calculator Activity
31
32
Practice Activity
PROBABILITY
Calculator Activity
Practice Activity
33
34
1 VARIABLE STATISTICS
Calculator Activity
35
36
Practice Activity
2 VARIABLE STATISTICS & LINEAR REGRESSION
Calculator Activity
Practice Activity
ANSWERS
37
38
39
1
Special Functions of the Sharp EL-W535B Calculator
Modes. This calculator has three modes. NORMAL, STAT, and DRILL mode.
To access these modes press
STAT, and for DRILL.
followed by
for NORMAL,
for
Degrees. The EL-W535B can be set to degrees, radians, or grads. Press
and enter for DRG. Then press for degrees, for radians,
for grads.
and
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 or 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
or
the floating-point number system in scientific notation press either
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
Line Editor you can choose an entry mode by pressing and then
for insert and for overwrite.
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
.
Inverse Hyperbolic Functions. Press
followed by
and the inverse
trigonometric function key
.
,
,
. Enter the value. Then press
Inverse Trigonometric Functions. Press
trigonometric function key
followed by the inverse
,
,
. Enter the value, then press
.
2
Pi. Press
.
Degrees-Minutes-Seconds. Enter the degrees. Press
Press . Enter the seconds. Press . Press
. Enter the minutes.
to convert to
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
.
Base 10 Logarithms. Press
. Enter the number. Then press
. Enter the number. Then press
.
Base e Logarithms. Press
.
Base Logarithms. If in WriteView mode press
. Enter the base. Then
. If in Line Editor press
press
and enter the number. Then 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
.
3
Scientific Notation. Enter the number. Press
press
. Enter the power. Then
.
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
numerator. Press . Enter the denominator. Then press
. Enter the
.
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
. 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
.
Definable Memories. You can store functions or operations in definable
memories (D1-D4). Press
function ,
. Press the location you wish to store your
. Press the operation you want to store.
,
,
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 dice rolls from 1 to 6. Press
heads and 1 is tails. Press for random integers between 0 and 99.
for random numbers between 0 and 1. Press
for random coin flips where 0 is
P<->R Conversion. To convert to polar coordinates enter your x-coordinate first.
Then press
. Then enter the y-coordinate. Press
. To convert
4
to rectangular coordinates enter your r-value. Press
theta. Press
. Then enter your
.
Factorial. Enter the number. Press
followed by
. Then press
.
Combinations. Enter the larger number. Press
number. Then press
. Enter the smaller
.
Permutations. Enter the larger number. Press
the smaller number. Then press
followed by
. Enter
.
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 supported 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
pentadecimal enter the number. Then press
.
5
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.
1
9
2
3 1
2
4 3
17 3 2
12 23 34
153 33%
log10 lne
log2 4
103 e2
sin30
cos10
tanh 78
3!
10C5
6P1
6
Using the Sharp EL-W535B 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, convincing 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-W535B uses WriteView technology and allows
students to enter equations as they are seen in their textbooks.
ACTIVITY AND PRACTICE SHEETS
The fifteen calculator activities and practice sheets found in this book have been
designed to be used with the Sharp EL-W535B 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 teacher 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.
7
TEACHING ACTIVITIES
FOR THE CLASSROOM
The Sharp EL-W535B 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
powerful mathematical tool.
8
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 4,6,8,10
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
STEP 2: Multiply by pressing
STEP 3: Enter 5 by pressing
followed by
.
.
.
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
.
.
.
9
NAME ___________________________________________ DATE________________
BASIC ARITHMETIC
Use your EL-W535B 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 starting 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 sequence 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, ___, ___, ___, …
10
Calculator Activity
FRACTIONS
OBJECTIVE: To perform basic operations with fractions.
1
7
3
8
1. Simplify
1
STEP 1: Enter by pressing
.
7
STEP 2: Add by pressing
.
3
STEP 3: Enter
by pressing
.
8
STEP 4: Find the sum by pressing
.
1
5
2. Simplify
. Then convert to a decimal
2 13
1
STEP 1: Enter by pressing
.
2
STEP 2: Subtract by pressing
.
5
STEP 3: Enter
by pressing
.
13
STEP 4: Find the difference by pressing
STEP 5: Convert to a decimal by pressing
.
.
3
2
3. Simplify 1 6 . Then convert to an improper fraction.
4
3
3
STEP 1: Enter 1 by pressing
.
4
STEP 2: Multiply by pressing
.
2
STEP 3: Enter 6 by pressing
.
3
STEP 4: Find the product by pressing
.
STEP 5: Convert to an improper fraction by pressing
.
11
NAME ___________________________________________ DATE________________
FRACTIONS
Perform the indicated operations with fractions using your
EL-W535B.
1 1 1
1. Find the arithmetic mean of the following fractions , ,
.
2 4 16
2. Find the arithmetic mean of the following fractions and convert to a
1 2 3 4 5
decimal , ,
,
,
.
8 9 10 11 12
1
6
7
1
3. Simplify 1
9 .
20
5
1
3
4
5
6
7
8
4. Simplify
.
2
1
1
1
1
3
5. Simplify 1 1
.
2
3
2
4
5
1
6
1
6
6. Simplify 3
and convert to an improper fraction.
3
8
2 11 2 11
3
1
7. Simplify 85 6 .
2
6
5
4
52 4 2
2 2
8. Simplify
.
12
Calculator Activity
POWERS AND ROOTS
OBJECTIVE: To perform basic operations with powers and roots.
3
1. Calculate 32
STEP 1: Enter 32 by pressing
.
STEP 2: Cube it by pressing
.
STEP 3: Calculate the answer by pressing
.
2. Calculate (5 3)6 .
5
STEP 1: Enter 3 by pressing
.
STEP 2: Raise the expression to the 6th power by pressing
.
STEP 3: Calculate the answer by pressing
.
3
3. Calculate
51
3
STEP 1: Enter
by pressing
.
STEP 2: Enter 51 by pressing
.
STEP 3: Calculate the answer by pressing
.
4. Evaluate 24
STEP 1: Enter 24 by pressing
.
STEP 2: Calculate the answer by pressing
.
13
NAME ___________________________________________ DATE________________
POWERS AND ROOTS
Use your EL-W535B to perform the indicated operations with the
following equations that contain powers and roots.
1. Simplify 12 22 32 42 52
____________________________
2. Simplify 1 2 3 4 5
____________________________
3. Is ( 3 7)2 32 7 2 ? Explain your answer.
____________________________
____________________________
____________________________
3
4. Simplify 23
____________________________
3
5. Simplify 233
____________________________
5 52 4 2 5 52 4 2
6. Simplify
2 2
2 2
____________________________
14
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.
4
The volume of a sphere is defined to be Volume r3 , where r is the
3
radius of the sphere.
1. Given the radius is 2 find the volume of the sphere.
4
STEP 1: Enter
by pressing
.
3
STEP 2: Insert the pi symbol by pressing
.
STEP 3: Enter 2 by pressing
.
STEP 4: Raise 2 to the third power by pressing
STEP 5: Calculate the answer by pressing
and then
.
.
2. Edit the previous equation and solve the volume of the sphere given
the radius is 1. Then convert 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
STEP 5: Raise 1 to the third power by pressing
STEP 6: Calculate the answer by pressing
followed by
.
.
.
STEP 7: Press
to convert it to an improper fraction. Press
one more time to convert it to a decimal.
15
NAME ___________________________________________ DATE________________
PARENTHESES AND EDITING
Use your EL-W535B 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.
4
Volume r3
3
1. Find the volume of the sphere whose radius is 6.
____________________________
2. Find the volume of the sphere whose radius is 5.
____________________________
3. Find the volume of the sphere whose radius is 9.
____________________________
4. Find the volume of the sphere whose radius is 10.
____________________________
5. Find the volume of the sphere whose diameter is 10.
____________________________
6. Find the volume of a sphere whose diameter is 12.
____________________________
16
Calculator Activity
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). Before inputting an
angle for conversion, press
angular units.
and then choose the appropriate
1. Convert 45 to radians and grads.
STEP 1: Set the angular units to degrees by pressing
.
STEP 2: Enter 45 by pressing
.
STEP 3: Convert to radians by pressing
STEP 4: Convert to grads by pressing
.
.
2. Convert 1123'58"to decimal degrees.
STEP 1: Enter 1123'58" by pressing
.
STEP 2: Calculate decimal degrees by pressing
STEP 3: Convert to a decimal by pressing
.
.
3. Convert 2.718 to degrees-minutes-seconds.
STEP 1: Set the angular units to degrees by pressing
STEP 2: Enter 2.718 by pressing
.
.
STEP 3: Calculate degrees-minutes-seconds by pressing
.
17
NAME ___________________________________________ DATE________________
ANGLE CONVERSIONS
The sum of the angles in degrees of an n-side polygon is 180(n-2).
Remember 180 radians 200grads. Before inputting an angle for
conversion press
and then choose the corresponding angular
units. Use your EL-W535B 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.
_____________________
2. A pentagon has four angles, which are 30, 30 , 60, and 100. Find
the missing angle and express your answer in grads.
_____________________
3. A triangle has two angles, which are 100 grads and 20 grads. Find
the missing angle and express your answer in radians.
_____________________
4. A hexagon has five angles, which are 1.5 radians, .3 radians,
.4 radians, .5 radians, and radians. Find the missing angle and
express your answer in degrees.
_____________________
5. A four-sided figure has three angles, which are 16.3, 22.1, and 45.
Find the missing angle and express your answer in degrees-minutes-
seconds.
_____________________
18
Calculator Activity
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
a
b
c
angles of triangles. The law of sines is as follows
.
sin sin sin
The law of cosines is as follows c2 a2 b2 2abcos .
1. Using the law of sines find the length of side a given
37, 53,b 4 .
STEP 1: Set the angular units to degrees by pressing
.
STEP 2: Multiply 4 bysin(37) by pressing
.
STEP 3: Divide bysin(53) by pressing
.
2. Using the law of cosines fine the length of c given
a 5,b 12, radians .
2
STEP 1: Set the angular units to radians by pressing
.
STEP 2: Add 52 and 122 by pressing
.
2
STEP 3: Subtract 2512 cos( ) by pressing
.
STEP 4: Take the square root by pressing
.
Note: Tangent can be used in a similar manner as sine as cosine
19
NAME ___________________________________________ DATE________________
TRIGONOMETRIC FUNCTIONS
Use your EL-W535B together with the law of sines and the law of cosines
to find the distance of the missing side
a
b
c
The law of sines is
.
sin sin sin
The law of cosines is c2 a2 b2 2abcos .
1. Given 30, 63,a 11determine the length of side c.
___________________
2. Given 16 grads, 69 grads, b 123 find the length of side a.
___________________
3. Given a 30,b 40, 1.5radians find the length of side c.
___________________
4. Given a 15,c 30, 45find the length of side b.
___________________
5. Given b 13,c 23, 100grads find the length of side a using the
law of sines.
___________________
20
Calculator Activity
INVERSE TRIGONOMETRIC FUNCTIONS
OBJECTIVE: To perform operations with inverse trigonometric functions.
1. Find in degrees when tan 1
STEP 1: Set the angular units to degrees by pressing
.
STEP 2: Enter tan1 (1) by pressing
.
STEP 3: Calculate the answer by pressing
.
2. Find in degrees when cos 0
STEP 1: Set the angular units to degrees by pressing
.
STEP 2: Enter cos1 (1) by pressing
.
STEP 3: Calculate the answer by pressing
.
2
3. Find in radians when sin
2
STEP 1: Set the angular units to radians by pressing
.
2
STEP 2: Enter sin1 (
) by pressing
2
.
STEP 3: Calculate the answer by pressing
.
21
NAME ___________________________________________ DATE________________
INVERSE TRIGONMETRIC FUNCTIONS
Use your EL-W535B and the law of sines and the law of cosines to find
the missing angle.
a
b
c
The law of sines is
.
sin sin sin
The law of cosines is c2 a2 b2 2abcos .
1. Given a 2,b 7, 23find in grads.
___________________
2. Given a 34,c 21, 94 grads, find in radians.
___________________
3. Given a 3,b 4,c 5find in degrees.
___________________
4. Given a 40,b 24,c 17 find in radians
___________________
5. Given a 5,b 12,c 13 find in degrees.
___________________
22
Calculator Activity
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 (x, y)or
polar coordinates (r, ), where r is the radius of the circle and is the
angle counterclockwise from the positive x-axis.
(r,)
1. While in degrees convert the rectangular coordinates (1,1) to polar
coordinates.
STEP 1: Set the angular units to degrees by pressing
STEP 2: Enter 1,1 by pressing
STEP 3: Convert to polar coordinates by pressing
.
.
.
2. While in radians convert the polar coordinates of (2 2,60) to
rectangular coordinates.
STEP 1: Set the angular units to radians by pressing
.
STEP 2: Enter 2 2,60 by pressing
.
STEP 3: Convert to rectangular coordinates by pressing
.
23
NAME ___________________________________________ DATE________________
COORDINATE CONVERSIONS
A point on a circle can be described with rectangular coordinates (x, y)or
polar coordinates (r, ), where r is the radius of the circle and is the
angle counterclockwise for the positive x-axis.
Before converting, press
and then choose degrees, radians,
or grads. Use your EL-W535B to find the corresponding point on the
circle.
1. While in degrees convert the rectangular coordinates (2,2) to polar
coordinates(r, ).
r ________________
________________
2. While in radians convert the rectangular coordinates (2 3,3) to polar
coordinates (r, ).
r ________________
________________
3. While in degrees convert the polar coordinates (4,3 5) to rectangular
coordinates (x, y).
x ________________
y ________________
4. While in degrees convert the polar coordinates (1,1.5) to rectangular
coordinates (x, y).
x ________________
y ________________
5. While in grads convert the rectangular coordinates (1,1)to polar
coordinates (r,).
r ________________
________________
24
Calculator Activity
LOGARITHMS
OBJECTIVE: To get a basic understanding of logarithms base 10, base e , and other
bases by solving equations.
1. Find log1000.
STEP 1: Enter log by pressing
STEP 2: Enter 1000 by pressing
.
.
STEP 3: Calculate the answer by pressing
.
.
.
2. Find log10.
STEP 1: Enter log by pressing
STEP 2: Enter 10 by pressing
.
.
STEP 3: Calculate the answer by pressing
3. Find ln e .
STEP 1: Enter ln by pressing
STEP 2: Enter e by pressing
.
STEP 3: Calculate the answer by pressing
4. Find lne2 .
STEP 1: Enter ln by pressing
STEP 2: Enter e2 by pressing
.
STEP 3: Calculate the answer by pressing
.
5. Find log2 4
STEP 1: To enter log2 press
.
STEP 2: Enter 4 by pressing
.
STEP 3: Calculate the answer by pressing
.
25
NAME ___________________________________________ DATE________________
LOGARITHMS
Use your EL-W535B to solve to following equations for the unknown.
1. Solve for x . x 5 2log123
_____________________
2. Solve for y . y 21 5(1 ln3)
_____________________
log6 36
3. Solve for z . z 54
2
_____________________
1
4. Solve for x . x log100 lne
2
_____________________
5. Solve for y . y log21 100 ln 2
_____________________
log25
6. Solve for z . z log2 32
ln 200
_____________________
26
Calculator Activity
INVERSE LOGARITHMS
OBJECTIVE: To perform antilogarithmic operations.
1. Calculate 1023
STEP 1: Enter 10^ by pressing
.
STEP 2: Enter 23by pressing
STEP 3: Calculate the answer by pressing
.
.
2. Find 1063 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
STEP 4: Calculate the answer by pressing
.
3. Find e((74)3)
STEP 1: Enter e^ by pressing
STEP 2: Enter 7 4 3 by pressing
.
STEP 3: Calculate the answer by pressing
.
27
NAME ___________________________________________ DATE________________
INVERSE LOGARITHMS
Use your EL-W535B to solve the following equations for the given
unknown.
1. Solve for x . x 2 1056*2
_____________________
5
e2
2. Solve for y . y
_____________________
2
3. Solve for z . z 1 3103
_____________________
5
e4
4. Solve for x . x 1025
_____________________
5. Solve for y . y e3 2 2101
_____________________
106
102(31)
6. Solve for z . z e23
_____________________
28
Calculator Activity
BASE CONVERSIONS
OBJECTIVE: To convert to and from binary, decimal, hexadecimal, octadecimal, and
pentadecimal base systems.
Before converting press
followed by either
,
,
,
,
.
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. Convert the hexadecimal number 16841601 to octadecimal.
STEP 1: Set the calculator to hexadecimal by pressing
.
STEP 2: Enter 16841601 by pressing
.
STEP 3: Convert to octadecimal by pressing
.
3. Convert the decimal number 144169 to pentadecimal.
STEP 1: Set the calculator to decimal by pressing
STEP 2: Enter the number 144169 by pressing
.
.
STEP 3: Convert to pentadecimal by pressing
.
29
NAME ___________________________________________ DATE________________
BASE CONVERSIONS
Use your EL-W535B 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. Convert the hexadecimal number 123 to binary.
____________________________
3. Perform the indicated operations in hexadecimal and then convert
your answer to octadecimal. 8 2 (23 12)
____________________________
4. Perform the indicated operations in decimal and then convert your
1
answer to binary. 15 3
36 24
6
____________________________
5. Convert the binary number 10101010 to decimal, octadecimal, and
pentadecimal.
____________________________
____________________________
____________________________
30
Calculator Activity
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
.
.
.
.
2. Generate 3 random dice throws.
STEP 1: Press
STEP 2: To generate random dice throws press
STEP 3: Generate the first random dice throw by pressing
.
.
.
STEP 4: Generate the second random dice throw by pressing
STEP 5: Generate the third random dice throw by pressing
.
.
3. Generate 3 random coin tosses.
STEP 1: Press
.
STEP 2: To generate random coin flips press
.
STEP 3: Generate the first random coin flip by pressing
STEP 4: Generate the second random coin flip by pressing
STEP 5: Generate the third random coin flip by pressing
.
.
.
4. Generate 2 random integers.
STEP 1: Press
.
STEP 2: To generate random integers press
.
STEP 3: Generate the first random integer by pressing
STEP 4: Generate the second random integer by pressing
.
.
31
NAME ___________________________________________ DATE________________
RANDOM NUMBERS, DIE, COINS, AND INTEGERS
Use your EL-W535B 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. Generate a sequence of 10 random coin flips.
___, ___, ___, ___, ___, ___, ___, ___, ___, ___
4. Generate a sequence of 3 random integers.
___, ___, ___
5. Generate a sequence of 12 dice throws and based on that sequence
what is the probability of rolling a 6?
___, ___, ___, ___, ___, ___, ___, ___, ___, ___, ___, ___
_______________
6. Generate a sequence of 10 random coin flips and based on that
sequence what is the probability of getting heads?
___, ___, ___, ___, ___, ___, ___, ___, ___, ___
_______________
32
Calculator Activity
PROBABILITY
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 10!.
STEP 1: Enter 10!by pressing
.
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
.
.
.
STEP 4: Calculate the answer by pressing
.
3. Find the number of permutations of 4 things taken 2 at a time.
STEP 1: Enter the larger number, 4, by pressing
STEP 2: Enter the permutation symbol by pressing
STEP 3: Enter the smaller number, 2, by pressing
.
.
.
STEP 4: Calculate the answer by pressing
.
33
NAME ___________________________________________ DATE________________
PROBABILITY
Use your EL-W535B 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. How many sets of 3 officers can be formed from a group of 15 where
order does not mater?
____________________________
4. How many sets of 3 officers can be formed from a group of 15 where
order does matter?
____________________________
5. Evaluate 5!
____________________________
6. What is 0!? What is 1!? Explain why the answer is so.
____________________________________________________
____________________________________________________
____________________________________________________
34
Calculator Activity
1 VARIABLE STATISTICS
OBJECTIVE: To perform 1 variable statistics.
1. Analyze the set
15,25,35,35,50using 1 variable statistics.
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
.
STEP 8: To determine the population standard deviation press
.
STEP 9: To determine the number of samples press
.
STEP 10: To determine the sum of the samples press
.
STEP 11: To determine the sum of squares of samples press
.
35
NAME ___________________________________________ DATE________________
1 VARIABLE STATISTICS
Use your EL-W535B to analyze the following sets using 1 variable
statistics.
1. Analyze the set {1,1,2,2,2,3,3,3,3}
x
______________
______________
______________
______________
______________
sx
x
n
x
x2
______________
2. Analyze the set {10,15,20,25,25}
x
______________
______________
______________
______________
______________
sx
x
n
x
x2
______________
3. Analyze the set {1,1,2,3,5,8}
x
______________
sx
x
n
______________
______________
______________
______________
x
x2
______________
4. Analyze the set {1,2,4,8,16,32}
x
______________
sx
x
n
______________
______________
______________
______________
x
x2
______________
36
Calculator Activity
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.
X
Y
1
2
1
2
2
4
3
7
10
10
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
STEP 5: Enter 10,10 by pressing
.
.
.
STEP 6: To determine the mean of the sample press
.
STEP 7: To determine the sample mean standard deviation for x press
.
STEP 8: To determine the population standard deviation for x press
.
STEP 9: To determine the number of samples for x press
STEP 10: To determine the sum of the samples for x press
STEP 11: To determine the sum of squares of samples for x press
.
.
.
STEP 12: To determine the mean of the samples for y press
.
STEP 13: To determine the sample mean standard deviation for y press
STEP 14: To determine the population standard deviation for y press
.
STEP 15: To determine the sum of the samples for y press
.
STEP 16: To determine the sum of squares of samples for y press
.
STEP 17: To determine a press
STEP 18: To determine b press
.
.
NOTE: Other regressions can be done in a similar manner by just setting your
EL-W535B to the proper STATS Mode.
37
NAME ___________________________________________ DATE________________
2 VARIABLE STATISTICS & LINEAR REGRESSION
Use your EL-W535B to analyze the following sets using 2 variable
statistics and to perform a linear regression.
1. Analyze the set and run a linear regression.
X
Y
1
1
2
2
3
4
4
8
x
______________
______________
______________
______________
______________
sx
x
n
x
x2
y
______________
______________
______________
______________
sy
y
y
______________
y2
a
______________
______________
______________
b
2. Analyze the set and run a linear regression.
X
Y
1
2
2
7
3
1
4
8
5
2
6
8
x
______________
______________
______________
______________
______________
sx
x
n
x
x2
y
______________
______________
______________
______________
sy
y
y
y2
a
b
______________
______________
______________
______________
38
ANSWERS
Basic Arithmetic
Logarithms
p. 9: 1. 67, 80 2. 23 3. –10, -50, -250
p. 25: 1. 3 2. 1 3. 1 4. 2 5. 2
p. 10: 1. 3,1,5,9,13,17,21 2. 2,3,4,5
3. 6,9,12,15,18 4. 144,72,36 5. 729,243,
81,27,9,3 6. 1,45,2025
p. 26: 1. 9.180 2. 10.507 3. 55
2 2
4.
5. 0.777 6. 18.950
2
7. 100,90,80,70,60 8. 1,21,41,61
Fractions
Inverse Logarithms
p. 27: 1. 1000000 2. 1.001018 3. 2.718
29
56
35
3
p. 11: 1.
2. .115 3.
p. 28: 1. 11017 2. 0.677 3. 12.925
4. 0.230 5. 8.405 6. 98.052
13
3
7
p. 12: 1.
2. 0.286 3. 11
4.
48
995
28
24
2
5
5 17
5.
6.
7. 45 8.
3
264
6
4
Powers and Roots
Base Conversion
p. 13: 1. 729 2. 3.737 3. 0.765 4. 4
p. 14: 1. 55 2. 8.382 3. No 4. 512
p. 29: 1. 153 2. 2641013001 3. 14103134
p. 30: 1. 3323013 2. 100100011 3. 4 4. 10 5. 170,
252, 1140
1
5. 2048 6.
2
Parentheses and Editing
Random
p. 15: 1. 11.848 2. 4.189
p. 31: Answers will vary
p. 32: Answers will vary
2
p. 16: 1. 288 2. 166 3. 972
3
1
2
4. 1333 5. 166 6. 288
3
3
Angle Conversions
Probability
p. 33: 1. 3628800 2. 6 3. 12
p. 34: 1. 210 2. 5040 3. 455 4. 2730
5. 120 6. 1, 1
4
5
p. 17: 1. , 50 2. 11.399 3. 243'4.8"
5
9
2
5
p. 18: 1.
2. 355
3.
4. 54
12
5. 27636'0"
Trigonometric Functions
1 Variable Statistics
p. 35: 1. 32,13.038, 11.662, 5, 160, 5800
p. 36: 1. 2.222, 0.833, 0.786, 9, 20, 50 2. 19, 6.519,
5.831, 5, 95, 1975 3. 3.333, 2.733, 2.494, 6, 20, 104 4.
10.5, 11.862, 10.828, 6, 63, 1365
p. 19: 1. 3.014 2. 13
p. 20: 1. 19.602 2. 34.611 3. 48.272
4. 22.104 5. 18.974
Inverse Trigonometric Functions
2 Variable Statistics
p. 37: 1. 3.4, 3.782, 3.382, 5, 17, 115, 5, 3.464, 3.382, 25,
173, 2.147, 0.839
p. 38: 1. 2.5, 1.291, 1.118, 4, 10, 30, 3.75, 3.096, 2.681,
15, 85, -2, 2.3 2. 3.5, 1.871, 1.708, 6, 21, 91, 4.667,
3.327, 3.037, 28, 186, 2.467, 0.629
p. 21: 1. 45 2. 90 3.
4
p. 22: 1. 7.12 2. 0.662 3. 90 4. 2.692
5. 22.620
Coordinate Conversions
p. 23: 1. 1.414, 45 2. -2.694, -0.862
p. 24: 1. 2.828, 45 2. 4.583, 0.714
3. 3.973, 0.467 4. 1.000, 0.026
5. 1.414, 150
39
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