TI-84 plus CE calculator and its functions

**Introduction**

Many students and teachers recommend the use of a calculator and believe that calculator is a need of time. In America, 99% of schools recommend the use of calculators and allow their students to use calculators in their school time and while completing assignments. With the development of mathematics research and its applications in science, our calculators have become more and more complex. As more and more functionalities are added in the calculators the difficult, it became to use them and understand how to their functionalities can be used to solve problems. Nowadays, the complex mathematical equations and formulas are integrated into calculators, and they are saving our time to calculate these equations by hand. Discrete mathematics is the gateway to research in modern mathematics. In the field of discrete mathematics, calculators are needed to perform computer operations. In this field analysis of graphs is needed to find out about discrete structures like trees and networks.**If you don’t have this Calculator, You can follow the link : Texas Instruments TI-84 Plus CE Graphing Calculator, Black (Click here to go to Amazon)**

MODEL | PRICE |
---|---|

Texas Instruments TI-84 Plus CE Graphing Calculator, Black Updated-Version | |

Texas Instruments Ti-84 plusGraphing calculator - Black Amazon Best-Seller | |

Texas Instruments TI-83 PlusGraphing Calculator Amazon's-Choice |

**TI-84 plus CE**

Graphing calculators are used to performing the simplest athematic like sum and multiplication to complex calculations of probability and statistics. The TI-84 Plus series is a new series of graphical calculators that is recently introduced by Texas Instruments. This series contains TI-84 Plus C Silver, TI-84 Plus CE, and TI-84 Plus. This paper will focus on the features of TI-84 Plus CE. Next, we will describe the functions of this calculator from basic to very complex.

**KEYBOARD**

This section covers basic functions in TI-84 CE calculator

**Turning ON**

- Press ON
- To continue to home screen press 1

An information box will appear and suggest keys for shortcut menu

To locate shortcuts press alpha [f1] – [f4].

To add shortcut to catalog press +

**Turning OFF**

To turn off the calculator press 2^{nd} + OFF

Turning off the calculator will clear all memory, settings, and errors.

Automatic Power Down

To conserve battery TI-84 CE has a built-in timer that turns it off after 3 minutes of inactive period.

By turning off automatically, the memory will not clear, and it will return to the screen where it was left.

**Keyboard functions**

The keyboard contains 48 keys including the four arrow keys. These keys based on their functionalities are categorized below

**Graph/Plot setup keys**

These are the 5 top row keys that are used for interactive graphing features; these keys are y=( state plot f1), window (tbslt f2), zoom (format f3), trace (calc f4), graph ( table f5)

**Editing keys**

These are the second and third-row keys to edit the written expressions and values in the screen; these keys are 2^{nd}, mode, del, alpha, (X,T, θ, n), and stat.

**Maths and statistics keys**

These are the 5 basic math and statistics operation keys.

**Scientific keys**

These are the 9 keys that are trigonometric, logarithmic and power and inverse function keys.

**Number keys**

These are the 9 number keys to enter numbers

**Common Math Function Keys**

To perform basic math operations of sum, subtract, divide and multiplication.

**Function Keys**

These are the function keys to use functions written above keys:

**2 ^{nd}**

To use the second function written on top left of first row keys

**Alpha**

To use the third function written above each key

**Alpha [f1]- [f4]**

To use the fraction format, p/q, matrix entry, Math menu and VARS menu functions

**Alpha [f5]**

To use options for DRAW command while using GRAPH.

**Function Keys Usage**

**Primary functions:**functions written on the keys. Example: to use the sine function press sin.**Secondary Functions:**the functions written above keys, they are accessible after using 2^{nd}key. Example: to take cos inverse, press 2^{nd}+ cos.- Pressing 2
^{nd}key toggles all functions to secondary functions above each key. **Alpha (tertiary) functions**: these are the functions written above keys with the same color as alpha key.- These functions allow user to add special symbols and SOLVE shortcut menus. Example: to use letter A, press alpha + math.
- To add a series of alphabetical characters use 2
^{nd}+ A-Lock. This function enables multiple entries of alphabetical letters. Pressing alpha again will disengage the function.

**Home Screen Usage**

The home screen has two parts, right and left the left part displays entered expressions, and right part displays answers.

The home screen will display the current characters used in expression and history of previous expressions. Press ˄ and ˅ to see the history of previous calculations.

**Example:**

To evaluate following expressions:

- 6/i c) (16+i)/(16-i)
- 1/(8-i)

**MathPrint Mode**

When an expression is long, ˃ key is used to see the whole expression.

**Note:** when you are using a MathPrint template, the cursor turns into a right arrow which requires pressing ˃ to get out the of MathPrint template.

**CALCULATOR MODES**

Mode settings govern how calculator displays and interprets:

• Answers

• Elements of lists and matrices

• Graphs

• Language settings

• Numbers

**Setting up calculator Mode**

The calculator has following modes:

- Answers
- Elements of lists
- Graph
- Language
- Numbers

- To set the mode press up and down to scroll between lines that you want to change mode.
- Use left and right to move cursor between settings
- Press enter to select a setting

**MathPrint Classic**

This mode is used to display the expressions naturally.

**NORMAL SCI ENG**

This mode is used to display the answer in standard format when there is a decimal in the answer.

NORMAL, ENG and SCI modes can be switched to display the answer in each format.

**FLOAT**

This setting displays answer up to 10 digits selecting the desired number of digits will display after the decimal point.

Example:

- An answer displayed on the screen that has a decimal in its value.
- A graph which has x and y quadrants, to display the values of coordinates in x and y
- To express a point in the slope of the tangent line.
- The result of an angle calculation in radian or degree.

**RADIAN DEGREE**

This mode will switch the answer calculated between radians and degree.

RADIAN: takes values as input in radians and provides answer in radians.

DEGREE: takes values as input in degree and provides answer in degree.

**EVALUATING EXPRESSIONS**

An expression may include numbers, variables, characters, and function operators.

**Order of operations**

The order of operations which defines the way expressions are added and evaluated in the calculator.

Note: the functions appearing first in the expression are evaluated first

**Implied Multiplication**

The calculator understands the implied multiplication even when multiplication sign is not used in the expression

**Parentheses**

The calculator evaluates the characters used in parentheses first.

**Negation**

The negation value is taking as input if we use “-” sign before any number, the same rule applies to powers.

The use of parentheses is required when taking the power of more than one character expression.

**GRAPHS**

The TI 84 CE can represent graphs as well as draw points on the graph. Further, we will explain its various features.

**Use of color in display**

The calculator has many different colors.

To edit the color Y= can be used to change line color.

Draw commands can be used to change between colors.

Left and right arrow key switches between color options.

**Setting a background image**

The calculator also has the option to set the background color. The images vary in size; TI Connect software can be used to send different size images to the calculator. QuickPlot and Fit Equation can be used to auto adjust the equation or graph in shape.

**QuickPlot and Fit Equation**

This allows the user to add points on the displayed graph. The user can select the color and style of the plot and select an equation for the plot.

**Images in graph**

The calculator can incorporate graphs in the plot. It needs software by Texas instruments TI Connect CE from where images can be selected, adjusted in size and send to the calculator.

**Piecewise function**

The calculator can also add piecewise function

**Tables**

When a table is used, and x and y coordinates are to be used. The user can view a table by selecting table option. The tableset function can be used to see how the values will be displayed

**MATRICES**

The calculator can perform matrix operations of Matrix addition, Matrix multiplication, division, inverse, subtraction and elementary row operations.

**Matrix Editor**

To use the matrices, the user will have to use matrix editor to enter the matrix menu.

There are total ten matrices allowed for matrix operations in one calculation.

To use the matrices user first enter the dimension of the matrix and then enter the values.

Example: a 3×3 matrix saved in memory

**Matrix Calculation**

To use the matrix operation first user have to return to home screen. And enter the matrix submenu to use a matrix command. Matrix name will be displayed above the matrix. Matrices name cannot be added manually to the calculator.

Example:

The determinant of a 3×3 matrix. [77, 2, -8 ; 8, 5, 6; 7, 42, 9]

To perform the determinant of a matrix, we first have to enter the matrix submenu by 2^{nd} / matrix key.

Next enter the command 1:det( command

The result is the determinant of Matrix (G)

**PROBABILITY FUNCTIONS**

The calculator can also perform functions of probability and statistics. The probability functions consist of random numbers generated by the system in the calculator.

**Features**

The probability functions can be used by PROB submenu in math menu.

To generate random numbers we can use the command

randInt (min value. Max value. Number of integers)

Example:

Generating five random numbers between 1 and 100.

Enter the command randInt (1,100,1)

We can see that pressing enter multiple times gives multiple results

Note: the calculator will presents different random numbers every time. We can also use a different set of integers by saving a non-zero value in rand memory and then computing the answer.

**STATISTICS**

Statistics functions allow to make a list of data and analyze and plot the results. There are some commands that can be used for statistics operations. The user can create a list of data and analyze the data by statistics commands.

Following functions are available in statistics:

- Regressions
- Statistic plot definitions
- Distributions
- Statistical analysis of lists.
- Sine and Logistic analysis of regressions
- Multiple variable analysis.
- Statistical tests.

Examples:

To generate a list of data:

- Enter the statistics menu and go to EDIT submenu.
- Enter the data into list editor
- Enter values in the list against each serial number

Plotting the data:

To plot the data of lists user will have to enter the stat plot submenu. In this example, the stat plot of list 1 and list 2 is generated.

Highlight the row by pressing the left button and press enter

The statistical data can be plotted in multiple ways in this calculator

- XY-line plot
- Histogram plot
- Scatter plot
- Modified box and whisker plot
- Probability plot

Example:

Two variable statistics for list 1 and 2

Select the stat menu

Select CALC submenu

Select 2:2-Var Stats and press enter

Select calculate and press enter

The following screen will display the variable statistics of list 1 and 2

**VARIABLES**

The calculator can deal with multiple types of variables including real and complex numbers, list functions, statistics plots, graph database, and pictures.

**Storing values in variables**

To store a value in variable the user has to go to the “to” key

- Enter the value to be stored
- Press to.
- Press alpha and select the character in which you want to store the value and then press enter
- The calculator will store the value in character.

**Display a stored value**

The user can see the value stored in a variable by typing the character and pressing enter. If the value has not been initialized the character will show the last saved value or zero if no value is stored.

**Recalling Variable values**

The user can also recall and copy the value of variable to cursor location

Example:

- To recall a value press 2
^{nd}/ rcl. - To recall value of a variable, enter the character whose value needs to be recalled.
- To recall values in a list press 2
^{nd}/rcl and select the name of list which needs to be recalled - To recall a matrix select the matrix select 2
^{nd}/rcl and select the name of the matrix which needs to be recalled.

Pressing VARS will display all the current variables stored

**EQUATIONS**

The calculator can solve a wide range of equations with multiple characters in each row. The equations can contain numbers, characters, and mathematical operators.

**Expression**

To solve an expression go to math menu, and go to Numeric solver submenu, enter the equation 1 and equation 2 and press ok.

The value stored in the variable will be overwritten by new value, and it can be seen by recall operation.

The calculator can also solve quadratic equations

**ERROR CONDITIONS**

There are four types of errors that can arise in performing operations in TI-84 CE calculator.

- Expression errors
- Instruction execution error
- Graph plotting errors
- Value storing errors.

**Rectification**

The error rectification process in any error is described below:

- The first step is to determine the error. This information can be gathered from the display screen, but it is also possible it is not too explaining.
- Correct the expression:
- Notice the error type
- Go to the previous screen to find the error location.
- Take help from the error message.
- Determine the error type.
- Correct the expression

**MANAGEMENT OF CALCULATOR FILES**

The calculator also has the facility to transfer files from calculator to another calculator if their operating systems are compatible with each other.

**OS transfer between calculators**

To transfer operating systems two calculators are connected to each other by a two way USB port. The communication between the calculators is started when after connecting the receiver calculator enables RECEIVE option by following the prompt: 2^{nd}/ [link]/ > / [enter].

After the first calculator enables, the receiving will display a message of waiting showing that it is now waiting for the other calculator to respond.

The sending calculator will now follow the prompt: 2^{nd}/ [link]/ > / ^ / [enter]. And then it can select the OS to transfer.

**Compatibility between OS**

The TI-84 Plus CE calculator series is compatible with other versions of this series. However, some of them are not compatible with some files transfer. The below table will provide the compatibility of files transfer between certain versions

**References**

Guidebooks, T. (2018). TI-84 Plus CE Guidebooks . Education.ti.com. Retrieved 24 February 2018, from https://education.ti.com/guidebook/details/en/3BBF042421644CE2AF713484B03A8B11/ti-84-plus-cer

**If you don’t have this Calculator, You can follow the link : Texas Instruments TI-84 Plus CE Graphing Calculator, Black (Click here to go to Amazon)**

MODEL | PRICE |
---|---|

Texas Instruments TI-84 Plus CE Graphing Calculator, Black Updated-Version | |

Texas Instruments Ti-84 plusGraphing calculator - Black Amazon Best-Seller | |

Texas Instruments TI-83 PlusGraphing Calculator Amazon's-Choice |

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