Calculator Manipulation Guide

Calculator
Manipulation
Subject Group IIIA&IIIB’s SLAC
Project E-LANE
FROILAN R. DOBLON
Speaker

Objectives
At the end of the session, we will be able to:
1. know the parts and functions of scientific
and graphing calculator;
2. manipulate the scientific and graphing
calculator; and
3. perform (solve) operations (sample
exercises) using scientific and graphing
calculator.

Calculator
is a device used to perform
calculations ranging from basic
arithmetic to complex mathematics

Why Use a Calculator?
›Cheaper than a laptop
›Students learn visually and hands-on.
›Students are engaged.
›Students are critical thinkers.
›Students are problem solvers.
›Students are 21st century learners.

Scientific Calculator
›Is an invaluable tool while
learning Math or Science
›Is a tool, to help you
solve complex problems

› Before calculators became so inexpensive
and available, tables and side rules are used
to calculate mathematical expressions
containing exponents and logarithms.

› Like the side rule, scientific calculator
requires some training to use it properly and
understand the results.
› Without the proper understanding of
applying the operating principles, there is no
guarantee that the answer is correct.

› The calculator only performs the functions
you instruct it, in the order you instruct it.
› GIGO (Garbage In, Garbage Out)
› Care should be taken in selecting the
scientific calculator to fit your needs.

Scientific
Calculator
Functions

CASIO fx-85ES Plus
When you want to perform
this type of operation:
Perform this key
operation:
General Calculations (COMP)
Statistical and regression
calculations
(STAT)
Generation of a number table
based on an expression
(TABLE)

Configuring the Calculator Setup
› MthIO/ LineIO specifies the display format.
› Natural Display (MthIO) causes fractions,
irrational numbers, and other expressions to
be displayed as they are written on paper.
› Linear Display (LineIO) causes fractions and
other expressions to be displayed in a
single line.

› Deg Rad Gra Specifies degrees, radians or
grads as the angle unit for value input and
calculation result display.
› Fix Sci Norm Specifies the number of digits
for display of a calculation result.
› Fix: The value you specify (from 0 to 9) controls
the number of decimal places for displayed
calculation results. Calculation results are
rounded off to the specified digit before being
displayed.

› Sci: The value you specify (from 1 to 10) controls
the number of significant digits for displayed
calculation results. Calculation results are
rounded off to the specified digit before being
displayed.
› Norm: Selecting one of the two available settings
(Norm 1, Norm 2) determines the range in which
results will be displayed in non-
exponential format. Outside the specified range,
results are displayed using exponential format.

– ab/c d/c Specifies either mixed fraction
(ab/c) or improper fraction (d/c) for display of
fractions in calculation results.
– STAT ON ; OFF Specifies whether or not to
display a FREQ (frequency) column in the
STAT Mode Stat Editor.
– Disp Dot ; Comma Specifies whether to
display a dot or a comma for the calculation
result decimal point. A dot is always displayed
during input.

Performing Prime Factorization
› In the COMP Mode, you can factor a positive
integer up to 10 digits into prime factors up to
three digits.

Performing Prime Factorization

Statistical Calculations (STAT)
› To start a statistical calculation, perform the key
operation (STAT) to enter the STAT Mode and then
use the screen that appears to select the type of
calculation you want to perform.

Statistical Calculations (STAT)

Try: Single Variable
› Without Frequency:
𝑋 = {1,2,3,4,5}
› With Frequency
𝑥 f
1 3
2 2
3 1
4 1
5 3

Scientific Notation on Scientific
Calculator
›Scientific notation is used when dealing with
very large and very small numbers in
applications.
›63,000,000,000 = 6.3𝑥1010
›0.00000000025 = 2.5𝑥10−10

Calculator
› Inputting values in scientific notation: input
the number, press x10x input the power
press =.
Input 3.24 𝑥 106
: 3.24 𝑥10𝑥
6 =
You screen should look like this: 3.24x106
3240000

Calculator
› Inputting values in scientific notation: input
the number, press x10x input the power
press =.
Input 4.65 𝑥 10−4
: 4.65 𝑥10𝑥
− 4 =
You screen should look like this: 4.65x10−4
93
200000

Calculator
The screen now shows: Sci 0~9? This is asking for the
number of significant figures you need in your answer.
Press 3. The calculator will go to the home screen and we
are now ready to input the expressions.
› If you are working entirely in scientific notation, begin
by setting the calculator into scientific mode.
› Press: Shift; Set up and press 7

Calculator
You screen should look like this:
4
3
𝜋 6.30𝑥106 3
1.05 𝑥1021
Example
› Given the radius of the Earth is 6.30x106 meters, find its
volume. (The volume of a sphere is given by the formula:
𝟒
𝟑
𝝅𝒓𝟑
.)

Be sure to put your calculator back into
normal mode by using
Shift Set up
press 8
press 1.
This will put the calculator back into
standard mode.

Graphing Calculator
› Is a handled computer that is capable of
plotting graphs, solving simultaneous
equations, and performing other tasks with
variables.
› A graphing calculator can graph different
types of equations accurately and quickly.

TI-84 Plus
(Texas Instruments)

TI-84 Plus Graphing Calculator
› Linear equations are usually graphed in the
› standard viewing window.
› The standard viewing window is [-10, 10] by
› [-10, 10] with a scale of 1 on each axis. To
quickly choose the standard

TI-84 Plus
Graphing
Calculator
Graphing
Functions
Advanced
Functions and
Menu
Scientific
Functions

TI-84 Plus Graphing Calculator

Graphing…
› Y= : Enter the equations to graph.
› Stat Plot: Set options for plots.
› Window: Manually set the window boundaries
› Tblset: Options for the Table.
› Zoom: Preset window boundary options.
› Format: Options for the appearance of the graphing
window
› Trace: Brings up a cursor so you can “trace”a line
using the arrow keys.
› Calc: Menu with a list of available graphing
commands
› Graph: The graphing window itself.
› Table: Table of x and y coordinates for each line.

Graphing…
The most useful ZOOM commands are:
› Zoom In: Zooms into the blinking cursor
when ENTER is pressed.
› Zoom Out: Zooms out from the blinking
cursor when ENTER is pressed.
› ZStandard: Resets the window to
−10,10 , [−10,10]

Graph: 𝒚 = 𝟑𝒙 + 𝟒 and 𝒚 = −𝟓𝒙 − 𝟒𝟎
› Type in 𝑌1 and 𝑌2 in the Y= Menu
(Note: All equations should be in "𝑦 = " format)
› Press GRAPH
› Select Zstandard in the ZOOM Menu
› Press WINDOW then, Change 𝑌𝑚𝑖𝑛 from -10 to -
20
› Press GRAPH
› Press TRACE
› Select Zstandard in the ZOOM Menu
› Select Zoom Out in the ZOOM Menu
› Select Zoom In in the ZOOM Menu

SolvingSystemof
LinearEquations

Solve:
𝟐𝒙 + 𝟐𝒚 − 𝒛 = 𝟑
𝟒𝒙 + 𝒚 = 𝟓
−𝒙 − 𝟐𝒚 − 𝒛 = 𝟐
›Represent the system as a matrix.
›Solve for 𝑥, 𝑦, 𝑧 using row reduction.

Solve:
𝟐𝒙 + 𝟐𝒚 − 𝒛 = 𝟑
𝟒𝒙 + 𝒚 = 𝟓
−𝒙 − 𝟐𝒚 − 𝒛 = 𝟐

If you want to improve your
Self-Worth, stop giving other
people the Calculator.
- TimFargo

Calculator Manipulation Guide

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