EL-W506T Manual
The All new advanced sharp scientific calculator
1
Introduction
• The Sharp EL-W506T has 640
functions including a dual
unlimited table mode,
probability distribution mode,
equation solving mode, up to 4
x 4 matrices and very easy to
use statistics features.
• Great for AP maths students,
IEB Maths students, Technical
maths students and university
or Technicon students.
2
Modes
• 0: NORMAL
(slide 6)
• 1: STAT
(slide 64)
• 2: TABLE
(slide 84)
• 3: COMPLEX
(slide 92)
• 4: EQUATION
(slide 99)
• You can do fractions, sums, integration,
differentiation, conversions etc.
• Univariate and bivariate data and statistics
calculations
• Unlimited dual table mode with
asymptotes
• Calculations involving complex numbers.
Switch between polar and rectangular
coordinates.
• Solve 2 and 3 variable linear equations,
quadratic equations and cubic equations.
3
Modes
• 5: MATRIX
(slide 107)
• 6: VECTOR
(slide 124)
• Calculate using up to 4 x 4
matrices, find inverses and
transposes of matrices.
• Do vector calculations
• 7: DISTRIBUTION
(slide 131)
• Calculate various probability
distribution t values
• 8: DRILL
(slide 141)
• Practice mental maths by
answering questions posed by the
calculator.
4
Important Buttons
•
•
•
•
•
•
•
turns the calculator on.
turns the calculator off
returns calculator to Normal (calculation
mode)
Arrows are used to move between answer or
menu screens or move the cursor.
is used to access any orange functions
is used to access any blue functions
is used to delete (backspace)
•
changes the answer from a mixed fraction,
to an improper fraction to a decimal.
•
is used to find the answer or as enter.
5
Normal Mode
Press
or
6
Normal Mode
• Press
or
• 52 scientific constants and 44
conversions
• Solve for X
• Integrate and differentiate at a
point
• Sum and multiply a Tn pattern
• Highest common factor and
lowest common multiple
7
Resetting the Calculator
• Press
• You have three options
• 0: DISP
• Pressing
clears whatever
calculation was on the screen of the
calculator. You can also press
to
do this.
• 1: MEMORY
• Pressing
clears all the memory
values out of the calculator (A-F). Press
to confirm
• 2: RESET
• Pressing
resets the calculator
back to “out of the box” settings. Press
to confirm
• You can also reset the calculator by
pressing the button on the back with the
tip of a pen.
8
Math
• Press
• You should see this screen.
• Now press
to see
screen 2 of the Math menu
9
Math – Engineering Units
•
•
•
•
•
•
•
•
•
•
•
Press
Choose
for ENG. SYMBOL
k = 1000
M = 1 000 000
G = 1 000 000 000
T = 1 x 1012
m = 0.001
𝜇 = 0.000001
n = 0.000000001
p = 1 x 10-12
f = 1 x 10-15
10
Math
• Converting hours to seconds
• Press
• Converting hours to minutes
• Press
11
Math
• Ipart returns the whole
number part of a decimal /
mixed fraction
• Press
• Fpart returns the fraction part
of a mixed number fraction.
• Press
12
Math
• Int returns the whole number
part of answer.
• Press
• Press
• Press
13
Math
• The (%) function allows you to
include a percentage into the
calculation.
• E.g. Find the final value if
R5000 is compounded
annually at a rate of 7% p.a.
for the next 10 years.
• Our formula is
• 𝐴 =𝑃 1+𝑖 𝑛
• 𝐴 = 5000 1 + 7%
10
14
• Press
15
SETUP
• Press
16
0: DRG
• Press
• You have the following
options:
• 0: DEG
• Change all calculations to use
degrees
• 1: RAD
• Change all calculations to use
radians
• 2: GRAD
• Change all calculations to use
gradians
17
1: FSE
• Press
• You have 5 options:
• 0: FIX
• Press
• Choose the number of decimal
places you would like to round
your calculations off to, e.g.
• Now type in
18
1: FSE
• Press
• Option 2:
• 1: SCI
• Press
• Choose the number of significant
figures you would like.
• E.g. Press
• Now press
19
1:FSE
• Press
• Option 3:
• 2: ENG
• Press
• Choosing ENG changes your
scientific notation to display in
multiples of three.
• Choose your number of significant
figures (e.g. press
)
20
1: FSE
• Press
• Option 4
• NORM1
• Press
• Gives the normal settings on the
calculator.
• Displays numbers between – 999
999 999 and 999 999 999, or
outside of these parameters it
displays them as scientific notation.
• NORM2
• Press
• Displays numbers between 0 and
999 999 999 and in scientific
notation outside of these
parameters.
Note the 3 digit punctuation to
make it easier to read numbers in
this form.
21
2: Editor
• Press
• You have 2 options:
• 0: W-VIEW
• 0: EXACT
• Gives the fraction, or surd
answer, press
to get the
decimal form of the answer
• 1: APPROX
• Gives the decimal answer first,
and the fraction answer is given
after
is pressed.
• 1: LINE
• Gives the old way of writing
fractions with the “r”
22
3: Contrast
• Press
• Use your
and
buttons to change the colour
of the contrast / colour of your
text on your calculator.
• Press
once you are
happy with your screen.
23
4: - - - - or ENTRY
• Press
• When you are in the Writeview
mode of the editor you will see a
blank line at 4.
• When you are in the Line mode
of the editor, you will see
ENTRY.
• Press
• If you choose
you will be able
to insert numbers between other
characters.
• If you choose
you will be able
to write over / replace numbers in
the expression
24
5:Recurring Decimal
• Press
• Press
to turn the
recurring decimal on
• Lets test the recurring
decimal – press
25
6: Decimal Point
• Press
• Choose
for the dot.
• Choose
for the comma.
26
7: Name
• Press
• Use your
and
arrow keys to choose the letter
or digit you want.
• Use the
and
arrow
keys to move the cursor along
• Press
when you are
done.
• Switch off your calculator (
) to see your name.
27
User Defined Shortcuts
• Your user defined keys allow you to
save a shortcut key to your
favourite orange and blue
functions.
• E.g. we want to save sin-1 into our
D1 key
• Press
• Now whenever you press
you
will get the following on your screen
28
ALGB - Substitution
• Use this function to substitute in
values of x for any expression.
• E.g. Find the value of 𝑥 3 − 7𝑥 + 3
if 𝑥 = −2
• Press
29
SOLVER – find 𝑥
• Find the value for x when an
expression is equal to 0.
• E.g. Find x when 0 = 3 sin 𝑥 − 2
• Press
30
Logs
• You have a base ten log (
)
and an any base log (
).
• E.g. Find the value of log 100.
• Press
• E.g. Find the value of log 3 81
• Press
31
DMS Functions
• Finding time in a speed-distancetime calculation.
• E.g. How long does it take to travel
450km at an average speed of
117km/h?
• Press
• Press
• Press
• The answer is 3 hours, 50 minutes and
46.154 seconds.
32
DMS Functions
• Adding / Subtracting Time
• E.g. find the length of time
spent on a bus if the bus left
at 9.45 and arrived at 12.32.
• Press
• The answer is 2 hours and 47
minutes
• To change back to a fraction
notation press
33
DMS Functions
• Changing minutes to hours
• E.g. How many hours are 470
minutes?
• Press
to clear any chain
calculations
• Press
• Press
to change it into
fraction or decimal format
(remember to use your
button).
34
𝜋
• The
button gives a constant
value of pi to 9 decimal places.
• Press
• This value can be used in
calculations.
• E.g. Find the area of a circle with
radius = 7.5cm.
• Our formula is 𝐴 = 𝜋𝑟 2
• Substitute in 𝐴 = 𝜋 7.5 2
• On the calculator we can press
35
Prime Factorization
• Press
to find the
prime factors of a number.
• E.g. find the prime factors of
153.
• Press
• Now press
36
Shortcut for Class Marks
• When you want to convert
between your test results and
another total (e.g. percentage),
you can use this shortcut
• E.g convert 35 out of 40 into a
total out of 100.
• Type in
37
Class marks Continued
• For your next student’s mark,
you simply type in the mark
and press the equals button.
• For e.g. your next student
gets 23 out of 40.
• Press
• Press
to change from a
mixed number to an improper
fraction to a decimal.
38
Adding Fractions
• We use our
3
5
• E.g. Add +
• Press
button
3
2
7
39
Integer Divide
• When dividing by a number
that is not a perfect divisor of
the number, the answer is
normally displayed as a
fraction.
• We can use
to find
the quotient and remainder of
a division sum.
• E.g. Press
40
Memory Keys
• You have several memory
spaces on the calculator: A- F,
X, Y and M
• You can use your
key
and the memory key you want
to use to type in the memory
key.
• If you want to store something
into the memory key use
• E.g. Store the value of 3 into A
• Press
41
Memory Keys
• To see what is stored in a
particular memory slot, you
can press
and the
memory key.
• E.g. Press
to see what
we had previously stored in A
• To see a complete list of
everything currently stored in
the memory slots press
42
Random Function
• Press
• 0: Random
• Gives random numbers between 0
and 1 to 3 decimal places
• 1: R-Dice
• Gives random numbers between 1
and 6
• 2: R.Coin
• Gives random numbers between 0
and 1
• 3. R.Int
• Gives random numbers between
any 2 digits typed in
43
Random Functions
• Press
• Press
• Keep pressing
to
keep generating random
numbers
• Press
44
Random Functions
• Press
• Generate random numbers
between 1 and 52
• Press
• Remember that your numbers on
your screen will be different to
those displayed here.
45
Pythagoras /
Rectangular Coordinates to Polar coordinates
• Convert (4; 5) into polar
coordinates.
• Press
46
Polar coordinates to
Rectangular coordinates
• Convert the polar coordinates
5, 30 (r, 𝜃) to rectangular
coordinates.
• Press
• Your X and Y values are
saved in your X and Y
memory keys. Press
to see them.
47
Integration
• Finds the definite integral
• Use
• E.g. Find
4 2
‫׬‬−3 𝑥
+7
• Press
48
Differentiation
• Finds the derivative at a point
• Use
• E.g. Find
𝑥=2
• Press
𝑑
𝑑𝑥
𝑥 4 − 4 when
49
Constants
• There are 52 constants
available on the calculator.
• Press
• Press the number for the
constant you want to insert
into the expression.
50
Conversions
• Press
• E.g. Convert 3 pounds into
kilograms.
• Press
• Press the
key and
look for where lb → kg
• Press
• Press
51
Summing
• Use
to find the
sum of a sequence.
• E.g. Find σ8𝑛=1 3𝑛2 − 2𝑛 + 5
• Press
52
Multiplying/ Product
• You can also multiply patterns
(second year maths) by using
• E.g. Find ς4𝑛=1 3𝑛 + 2
• Press
53
Converting to Binary
• We can convert numbers in
decimal notation into binary
notation, as well as add,
subtract, multiply and divide
with binary numbers.
• We use
• E.g. Convert 259 into binary
notation.
• Press
54
Adding in Binary
• Press
• E.g. Add 10101 + 10000111
• Press
• Lets convert the answer back
to decimal notation by
pressing
55
Percentages
• We use
to find
various shortcuts for different
percentage calculations.
• E.g. What is the selling price if
the price before VAT is
R86.90?
• Press
56
HCF or GCD
• To find the highest common
factor we use
• E.g. Find the HCF of 56, 72
and 108.
• Press
57
LCM
• To find the lowest common
multiple we use
• E.g. Find the LCM of 14, 18
and 32.
• Press
58
Degrees, Radians and Gradians
• We can change our angle units
from degrees to radians to
gradians and back again by
using
• E.g. convert 30˚ into radians.
• Press
• To convert back to degrees
again press
• Note: You can also use the
Setup menu to change back to
degrees (slide 17).
59
Absolute Values
• We use
to find
absolute values
• E.g. Find the absolute value
of 5 – 7.
• Press
60
Negative Button
• To make a number negative
press
before typing in the
number
• Note- if you type in
or
(or any other
combination of the two) you
will get an error.
• If you press the
arrow
button the calculator will move
the cursor back to where the
error was made.
61
• E.g. Find the value of
• -30 + -80 - -40
• Press
62
Previous Answer
• You can use the answer from
the previous calculation in your
next calculation by pressing
• E.g. What is 85 added to the
difference of 78 and 19?
• First we find 78 – 19
• Press
• Then we find 85 + the previous
answer by pressing
63
Statistics Mode
Press
64
Statistics Mode
• Press
• You have several options
• 0: SD
• Does statistical analysis for
univariate data
• 1: a + bx
• Does statistical analysis for
bivariate data
• 2: a + bx +cx2
• Does statistical analysis for
quadratic data
• The rest of statistical analysis
options are not relevant to
students.
65
Univariate Data
• Press
• Insert data by typing in the
data point and pressing
• E.g. Type in the data points
below:
• Press
66
• Press
to change the
screen from the data table to
the calculation screen.
• You can also press
back to the data table.
to go
• Press
67
• 0: Statistics Val
• Gives the various values for the
statistics.
• Press
to see each of
the screens.
• Press
to clear away the
statistics.
68
• Press
• Press the corresponding
number and
to find
each of statistics values given
individually
69
• Press
• Press
to find the sum of
all the x values, and press
to find the sum of the x values
squared.
70
• Press
• Again, press the
corresponding number and
then
to find the
minimum, quartile 1, median,
quartile 3 or maximum value
of x
71
Linear Regression
• Press
• You can input the data in two
different ways:
• First type in all the x-values (pressing
after each one) then use your
arrow keys to move to the top of the ycolumn, and type in all the
corresponding y-values (pressing
after each one).
• Alternatively, type in the x-value,
press
, type in the y-value and
then press
. This method is
better for showing relationships to
students.
72
• E.g. Type in the data:
• Press
X
Y
3
7
4
11
5
15
6
19
7
23
8
27
9
31
73
• Now press
to change
from the data table to
calculation screen.
• Press
74
• 0: Statistics Val
• Press
• Press +
to see
each of the screens.
• Press
to clear
away the statistics and
do other calculations.
75
• 1: Regression Val
• Press
• Gives the regression line yintercept (a) and the
gradient (b).
• Gives the correlation
coefficient.
76
• 2: Variable
• Press
• Press the corresponding
number or letter (
) to
find each individual
statistics value.
77
• 3: Sum
• Press
• Finds the sum of the various
variables, and their squares,
cubes and multiples.
• Press the corresponding
numbers and
to find
each individual statistics.
78
• 4: Min/ Max
• Press
• Find the minimum and
maximum data points for x and
y values.
79
• 5: Coefficient
• Press
• Gives the various linear
regression variables and the
correlation coefficient.
80
Quadratic Patterns
• We can use the quadratic
stats mode to help us with
second common differences
patterns.
• Press
81
• Typing in the data can be
done using the same
methods as the linear
regression mode.
• E.g. Press
n
Tn
1
8
2
13
3
24
82
• Press
to change to the
calculation screen
• Press
• This gives us our quadratic
equation:
• 𝑇𝑛 = 3𝑛2 − 4𝑛 + 9
83
Table Mode
Press
84
Table mode
• We can use table to find the
coordinate pairs for graphs.
• There are two functions
• The table mode is also
unlimited, so you can
continue in either direction for
as long as you want to
without running out of space.
• Press
85
Tan graph
• Let’s create a tan graph:
• 3tan(x – 45)
• Press
• To make an X press
• Press
86
• Press
• Start at 0, so press
• Make your step 15 so press
• Use your
and
arrow keys to scroll through the
table.
• Note the asymptotes at x = -45
and x = 135.
• Note that you can go in either
direction without running out of
space.
87
Simple and Compound Interest
• Press
• Let’s demonstrate simple
interest first
• Our formula is 𝐴 = 𝑃 1 + 𝑖 × 𝑛
• A = ? P = 1000,
i = 9%
p.a.
• Press
88
• Ignore function 2 for the time
being and press
• Leave your start and step as
0 and 1 respectively so press
• Use your
and
arrow keys to scroll through
the table.
• Remember that X = the
number of years.
89
• Now let’s compare the simple interest
with compound interest.
• Press
once, so that the simple
interest formula is still on the screen.
• We are going to use the same values
as the simple interest but in the
compound interest formula.
• Press
• Press
90
• Leave your start and step as
is, so press
• Use your
and
arrow keys to scroll through
the table.
• We can ask – When does the
compound interest A value
double the simple interest A
value?
• According to the table, after 20
years.
91
Complex Mode
Press
92
Complex Numbers
• Press
• To make an i press
• E.g. Type in 3 + 4i
• Press
93
Changing between rectangular and polar
coordinates.
• Press
• Press
• This gives the hypotenuse
(5) and the angle the
hypotenuse makes with the
x-axis.
94
Changing from polar to rectangular
coordinates.
• To type in the hypotenuse and
the angle, we use
• E.g. Press
• To convert back to
rectangular coordinates press
95
Conjugate Form
• To find the conjugate form we
use the
menu.
• E.g. Find the conjugate of 7 –
3i
• Press
96
Argument
• This function gives the angle
for the rectangular
coordinates.
• E.g. Find the argument for 5 –
3i
• Press
97
Real and Imaginary values
• We can also type in the
hypotenuse and angle and
find the real and imaginary
values for them.
• E.g. Find the real and
imaginary values for r = 3 and
𝜃 = 30.
• Press
• And press
98
Equation Mode
Press
99
Equation Mode
• You can solve 4 different
types of equations in equation
mode.
• Press
• 0: 2-VLE
• 2 variable linear equation
• 1: 3-VLE
• 3 variable linear equation
• 2: QUAD
• Quadratic equation
• 3: CUBIC
• Cubic equation
100
0: 2 VLE
• Press
• This mode allows you to solve
for 2 variables in 2 linear
equations:
• 𝑎1 𝑥 + 𝑏1 𝑦 = 𝑐1 and
• 𝑎2 𝑥 + 𝑏2 𝑦 = 𝑐2
• E.g. Find x and y if
• 3𝑥 + 7𝑦 = 9 and
• −4𝑥 + 12𝑦 = 5
• Press
101
• Then
• The determinant is also given
102
1: 3 VLE
• We can also solve 3 variable
linear equations of the form:
• 𝑎1 𝑥 + 𝑏1 𝑦 + 𝑐1 𝑧 = 𝑑1
• 𝑎2 𝑥 + 𝑏2 𝑦 + 𝑐2 𝑧 = 𝑑2
• 𝑎3 𝑥 + 𝑏3 𝑦 + 𝑐3 𝑧 = 𝑑3
• The process is the same as
the 2 variable linear equation
mode.
• Press
103
• E.g. Find x, y and z if:
• 3𝑥 − 7𝑦 + 4𝑧 = 2
• 𝑥 −𝑦 −𝑧 =0
• 4𝑥 + 3𝑦 = 12
• Press
104
2: Quadratic Equation
• We are able to solve
quadratic equations in the
form:
• 𝑎𝑥 2 + 𝑏𝑥 + 𝑐 = 0
• Press
• E.g. Find the x’s when
• 𝑥 2 − 8𝑥 + 15 = 0
• Press
105
3: Cubic Equation
• We are able to solve cubic
equations in the form
• 𝑎𝑥 3 + 𝑏𝑥 2 + 𝑐𝑥 + 𝑑
• Press
• E.g. Solve for x:
• 7𝑥 3 − 3𝑥 2 + 8𝑥 − 12 = 0
• Press
106
Matrix Mode
Press
107
Matrix Mode
• Solve matrices from 1 x 1 to 4 x
4 in size.
• Press
• To set up a matrix press
• Set the size of the matrix by
typing in the number of rows
first and then the number of
columns and press
• Type in each matrix element
from left to right and from top to
bottom, pressing
after
each one.
108
• E.g. Enter the matrix
3 7 −2
• 8 −7 4
1 0
5
• Press
• Type in the size of the matrix
first by pressing
109
• Press
110
• Now store the matrix
• Press
111
Matrix Calculations
• Press
• To use a matrix in your
calculation, press
• Choose the matrix you want
to work with by pressing the
number next to the name of
each matrix.
• E.g. Press
112
• To recall and edit the matrix
press
113
• Finding the determinant
• Press
114
• Finding the transpose of the
matrix:
• Press
115
• Creating an identity matrix
• Press
• Type in the size of the matrix
you want, e.g.
116
• Changing the dimensions of a
matrix
• Press
117
• To create a matrix with all of
the same values use the fill(
function.
• E.g. Create a 2 x 4 matrix with
the element 3
• Press
118
• To create a matrix with
random values (between 0
and 1) press
• Now type in the number of
rows you require and the
number of columns separated
by
• E.g.
119
• To find the row echelon form of
a matrix we first need to create
a matrix
3 6
1 7
• Press
• E.g.
−2
8
• Now we store the matrix into A,
press
• Now we press
•
120
• We can also find the reduced
row echelon form.
• Using the matrix from the
previous example, we can
say:
121
Finding the Inverse
• First we create a 3 x 3 matrix:
2
4 7
• 8
6 4
−1 10 3
• Press
• Now we press
122
Handy Hints
• You can store the name of the
matrix into any of the D-keys
to save you time when
working with the matrix.
• Press
• Now we can use this for
calculations.
• E.g. Find A2
• Press
123
Vector Mode
Press
124
Vectors
• Vectors work in a similar way
to matrices.
• Press
• To create a vector, press
• You can either have a vector
with 2 or 3 elements.
• Press
125
• To store the vector press
• To recall a vector press
126
Dot product
• Input a second vector:
• Press
• Store it
• To find the dot product we
press
127
Cross Product
• Using the previously stored
matrices, we can also find the
cross product of two vectors.
• Press
128
Angle between vector
• We can find the angle
between two vectors.
• Using our previous vectors
press
129
Unit Vector
• To get the unit vector of a
vector press
130
Distribution Mode
Press
131
Distribution Mode
• Press
• You have 3 options:
• 0:Normal
• Normal Distribution
• 1: Binomial
• Binomial Distribution
• 2: Poisson
• Poisson Distribution
132
0: Normal
• Press
• You have 3 options:
• 0: Normal pdf
• Calculates the normal probability
density function.
• 1: Normal cdf
• Calculates the cumulative normal
density function
• 2: Inverse Normal
• Calculates the inverse cumulative
normal density function
133
• 0: Normal pdf
• Press
• Now type in the x value, mean
and standard deviation, eg.
134
• 1: Normal cdf
• Press
• We can find the cumulative
normal density function,
between two x points.
• Press
135
• 2: Inverse Normal
• Uses the area of the curve to
find the value of x.
• Press
• Area =
• Mean =
• Standard deviation =
136
Binomial Distribution
• Press
• Two options:
• 0: Binomial pdf
• Finds the cumulative probability at
a point x with the number of trials
(n) and the probability of success
(p)
• Press
137
• 1: Binomial cdf
• Press
• x=
• n=
• p=
138
Poisson Distribution
• Press
• Two options:
• 0: Poisson pdf
• Press
139
• Press
• Two options:
• 1: Poisson cdf
• Press
140
Drill Mode
Press
141
Drill Mode
• Press
• Two options:
• 0: Math
• Asks maths questions and marks
them for you.
• 1: Table
• Asks times tables questions for a
particular number.
142
0: Math
• Press
• Use your
and
arrow keys to choose the
number of questions (25, 50
or 100).
• Use your
and
arrow keys to choose the type
of questions you want to do.
• Press
once your
selection is done
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• You will see
• The question number you are on
and
• The question
• Type in the answer and press
• If you get the answer correct
you will get a tick and a new
question.
• If you get the answer wrong,
you will get a cross and the
same question.
• The calculator will repeat the
question until the answer is
correct.
• If you do not know the answer,
leave the answer space blank and
press
144
• Once you have answered the
last question, press
• You will see your mark and
percentage
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Table mode
• Press
• Choose the particular times
table by using your
and
arrow keys
• Choose between serial (times
tables in order) or random
(mixed order) by pressing
or
• Press
once you’ve
made your choice.
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• You will see
• How many questions you have left
• And the question
• Type in the answer and press
after each one.
• If you get the answer correct
you will get a tick and a new
question.
• If you get the answer wrong,
you will get a cross and the
same question.
• The calculator will repeat the
question until the answer is
correct.
• If you do not know the answer,
leave the answer space blank and
press
147
• After the last question you will
see
• Press
• You will see your total out of
12 and your percentage.
148
The End
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