**TI-36 X pro Calculator**

**Introduction**

TI-36 X Pro Calculator is nominated as one of the ideal calculators that can be used where graphing calculators are not permitted. The MultiView^{TM }display on the calculator makes it easier for the user to view multiple calculations on the screen, simultaneously. Another spectacular feature is from MathView^{TM }is capable of displaying multiple forms of mathematic expressions, stacked fractions and symbols in a similar fashion as they appear in notebooks. TI-36 X Pro Calculators have been recognized to ideal for their use during high school till college, in courses such as Geometry, Algebra, Trigonometry, Calculus, Statistics etc. There are functions that are capable of converting decimals, fractions and other terms inclusive of Pi, into an alternation interpretation/representation. There is also an option for users to use functions of radians, degrees, fix and floating number format modes.

One of the notable features in the TI-36 X Pro is its ability to store multiple macros, with the functionality based on the macro taking one value and having the capacity to store the final result inside a variable of user’s choice. The variable in TI-36 X Pro is limited to eight options, ranging from a, b, c, d, e, x, y, and z. The use of macros can be exemplified through the example of values that can be saved, such as “2+3” and “+x -> x.” This is an example of expr-eval or otherwise known as an expression, which has the ability to store the value, temporarily (Michon 2018). This can be translated into the basic sense of the values being stored for a limited use (can only be used once), so the process can be repeated any number of times, the user wants to.

**If you don’t have this Calculator, You can follow the link to buy : ****TI-36 X pro Calculator ( Click here to go to Amazon ) **

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

TI-36 X proCalculator |

**Discussion**

The features of the calculator are divided into different features, with their respective functions for each keystroke. The keyboard functions for the TI-36 X Pro Calculator are expressed as follow,

**Switching On and Off**

- The
**ON**key turns the calculator on. - The combination of
**2**and^{ND}**OFF**key pressed simultaneously turn the calculator off. - The off function only turns the display off but does not affect history, settings, and memory.
- Automatic Power Down (APD
^{TM}) turns the calculator off after 5 minutes, in case of no activity. - Turning the calculator back on by pressing the
**ON**key after the APD function will turn the calculator back on while retaining the settings, memory and pending operation.

**Brightness and Contrast Settings**

The adjustments for brightness and contrast are dependent on the brightness in the room, the angle from which it is currently being viewed and the amount of battery in the calculator. To adjust these settings, the following keys can be used

Holding down and releasing the **2 ^{ND}** key will bring up the settings for contrast.

Holding down “**+**” key will darken the current display while holding down “**–“**key will lighten the screen up.

**Display – Home Screen**

The display screen dimensions add up to 83.3 mm wide, 171.5 mm length and 15 mm height.

The home screen display enables the user to enter functions and mathematical expressions, in addition to the instructions.

The answers to equations are displayed on the home screen.

The TI-36 X Pro is capable of displaying a total of four lines, a total of 16 characters on the screen. Entries that exceeding the normal limit of 16 characters, the user can press “**<”** and “**>” **keys to navigate through the screen.

The MathPrint^{TM} mode is capable of letting the user enter a total of four levels of functions, nested together along with various expressions. These expressions are inclusive of square roots, fractions, exponents having ^, ^{x}√y, e^{x}, and n^{x}. ^{ }

Calculations on the home screen, depending on the user inserted space, will present the answers either to the right side of the entry or will be on the right side in a next line.

**Special Indicators**

Several special Indicators or cursors will be shown on the home screen, to assist in providing additional information about functions and results to the user. These special indicators consist of,

**Keyboard Functions**

The keypad is consist of 41 keys, along with the D-Pad.

**2 ^{nd} Key Functionality**

The **2 ^{nd}** key can be used to

**perform multiple functions. Most of the primary functions for the keys are mentioned on them. Their secondary functions are mentioned right above it. Pressing the**

**2**key will permit the user to access the secondary function for that key.

^{nd}The indication of **the 2 ^{nd}** key will be shown on the screen as “

**2ND**“, however, in case of removing it, pressing it again will disable this feature. This can be exemplified by the example of

**2ND**,

**[√]**,

**25**and pressing

**[enter]**right after will provide the result of 5.

**Keypad – Modes**

The use of [**mode**] allows to choose in between a variety of modes. Keys will allow to navigate and choose the mode of choice. Pressing the [**enter**] key will select it.

Pressing **2 ^{nd}** and [

**quit**] or [

**clear**] will return the user to the home screen with the selected mode setting.

Examples of these modes are as follows,

**Keypad – Storing Operations**

Storing operations in TI-36 X Pro calculator is quite simple and can be achieved through the use of,

**2 ^{nd}** [

**op**] and

**2**[

^{nd}**set op**]

The use of **2 ^{nd}** [

**set op**] allows the user to store a sequence of user-defined operations.

The use of **2 ^{nd}** [

**op**] recalls and utilizes the operation.

To store a user-defined operation, the user needs to make use of the following steps,

Pressing **2 ^{nd}** [

**set op**]

Provide an input compromised of different numerical expressions, operators or values. These can range up to 44 characters at most.

Press [**enter**] will store the given operation.

Pressing **2 ^{nd}** [

**op**] will bring back the stored operation, to be used to be applied to the current answer or a previous answer.

Applying **2 ^{nd}** [

**op**] to another

**2**[

^{nd}**op**] result will modify and increment the counter with n=1.

**Example**

In a situation with the linear function as y = 5x -2, calculate y for the values of x: -5, -1

**Stored Variables and Memory**

In the TI-36 X Pro Calculator, there are a total of 8 variables for the purpose of storage, namely **a, b, c, d, x, y, z,** and **t**. These memory slots are capable of storing any simple or complex number or the result of an expression in them. These features that are directly used by the calculator to input variables, will make use of the stored values.

**Editor & Listed Formulas**

** **Allows** **the normal use of entering data, spread over a maximum of three lists. Every list has the ability to store up to 42 different elements in it. Pressing will navigate the user towards the top portion of the list, whereas will navigate the user towards the lower portions of the list. The list formulas are capable of accepting every calculator function, as well as real numbers. However, decimal notations, numeric notations, angle modes will have a direct effect on the display of the elements displayed.

An example of it is displayed in the image below,

**Functions – Statistics, Distribution, and Regression**

In this mode will let the user enter and have the ability to edit the list of data.

Will display the user with **STAT-REG** menu, with the availability of the following options within it,

*“Note: Regressions is only able to store the regression information, paired with the 2-Var statistics for data, in the menu of StatVars (First menu item)”*

**StatVars** – This function shows a secondary menu for statistical variable results. The user can navigate through the list by pressing the up and down arrow indicated keys on the D-Pad. Pressing the [**enter**] to select the desired result. If this option is selected before opting 1-Var Stats, 2-Var Stats or any of the regression, a reminder will be prompted for the user.

**1-Var Stats** – Performs an analysis of the statistical data, ranging from 1 data set carried with 1 measured variable, x. This may include the use of frequency data as well.

**2-Var Stats** – Performs the analysis on paired data, ranging from the 2 datasets carried with 2 measured variables, with the values of x being an independent variable, and y as the dependent variable. This may include the frequency values as well.

**LineReg ax + b **– Fits in the model equation of *y = ax + b* to be used with least squared values in the data. This will display a (slope) and b (y-intercept). This may also show the values for r^{2} and r.

**QuadricticReg **– This fits the second-degree polynomial which is indicated as *y = ax2 + bx + c. *This will show the values for **a, b** and **c**. This is also inclusive of displaying the value for R^{2}. In the case of three data points, the equation is categorized to be a polynomial fit, similarly in the case of four, five and more, it will be treated as a polynomial regression. There is a requirement of at least three points.

**CubicReg **– This accommodate the values of third-degree polynomials such as y = ax^{3} + bx^{2} + cx + d. This will display the values for **a, b, c** and **d. **It is also inclusive of displaying the value for R^{2}. In the case of four points, the equation is treated as a polynomial fit, as well as in the case of five, six or more. There is a minimum requirement of having at least four points.

**LineReg a + blnx **– This fits in the model equation such as y = a + b ln(x) for the data that is utilizing a least squares fit and is transformed to the values of ln(x) and y. This will also be displaying the values for **a,** and **b**, as well. The values for r^{2} and r will also be shown in this scenario.

**PwrReg ax^b **– This fits the model for the equation of *y = ax ^{b}* for the data type that is utilizing least-squares fit and changing the values to ln(x) and ln(y). This will also show values for a, and b, as well as r

^{2}and r.

**ExpReg ab^x **– This fits the model for the equation of y = abx for the data that is using the least-square fit and is being changed to the values of x and ln(y). This will also the values for a, and b, as well r^{2} and r.

**TI-36 X Pro – Solvers**

**Numeric Equation Solver**

Combination of [**2 ^{nd}**] [

**num-solv**] provides the prompt for equation and variable values.

Variables can then be selected for num-solv to solve.

The limit for the equation is specified to be up to 40 characters only.

**Example**

If values have been assigned to declared variables, the numeric solver will take on these values then.

**Polynomial Solver**

[

**2**prompts the user to select in between quadratic or the cubic equation solver.

^{nd}][poly]The coefficients of variables are entered to for polynomial solver to solve.

**Example**

In case of defined values, the solver will assume those values to work on them for a solution.

The solutions can be toggled for number formats of x1, x2, and x3 by pressing the .

**The system of Linear Equation Solver**

**[2 ^{nd}][sys-solv] **will solve the system of linear equations.

An option for selecting 2×2 or 3×3 systems is available.

The results of x, y and z are saved in the variables of x, y, and z by default.

Using will toggle in between the results.

For 2×2 equation solver will solve for unique solutions only or will prompt a message informing an infinite number of solutions or no solutions, for specific cases.

For a 3×3 system of linear equation solver will also solve for unique solutions. In some cases, it will inform of infinite solutions for it or no solutions to display.

**Example – 2×2 equation**

To solve, 1x + 1y = 1, also 1x – 2y = 3

**Example – 3×3 equation**

To solve, 5x – 2y + 3z = -9, also 4x + 3y = 4, and 2x + 4y – 2z = 14

In a scenario with 3×3 systems having infinite solutions, it will be solved as

**Method for Number Bases**

The combination of is used for the purpose of number bases.

**Base conversion**

The combination of keys** ** will** **display** **the menu for **CONVR, **which is responsible for converting real numbers to an equivalent in a base specified.

**Base Type**

The combination of the keys will display the menu **TYPE **allowing for the addition of a base to a number despite the calculator’s defined number base mode mechanism.

**Example – DEC mode**

**In these situations, the mode can be set to DEC, BIN, OCT, HEX. For instance,**

**Boolean Logic**

will show the LOGIC menu, allowing for the selection of Boolean logic Such as,

**Example**

In case of using the modes of DEC, BIN, HEX or OCT

**Expression Evaluation Mode**

will prompt the user to input and solve an expression which is in forms of numbers, variables, parameters, and functions.

Pressing on the home screen will paste the content to Expr=.

In case of being at an input or output history, pressing will post content to Expr=.

**Example**

**Constants**

Constants allow for selection of specific constants to be posted to different areas in the calculator.

Pressing **[2 ^{nd} ][constant] **will access the menu of constants and user can toggle between them by making use of will allow to either select names or menus.

The up and down arrow indicated keys on the D-Pad allow to navigate through the menu to select from the list of 20 physical constants.

An example of it shown below,

Some examples of the constants are as follows,

**Conversion Menu**

The conversion menu allows for the conversion of almost 20 conversions in total. 40 in the case of converting both ways.

Accessing the conversions menu requires the user to press **[2 ^{nd}][convert].**

Pressing the up and down indicated keys on the D-Pad will allow navigating in between the conversion types.

An example of this is as follows,

**TI-36 X Pro Operating System **

**Analysis**

In TI-36 X Pro Calculator the operating system functions under the name of Equation Operating System (EOSTM) which is utilized to evaluate different expressions (Michon 2018). EOS performs the evaluation by considering the values in an organized manner of checking the data from left to right. The order is shown in the image below,

**TI-36 X Pro Functionality**

The TI-36 X Pro Calculator being an answer to Casio’s and Sharp’s latest addition, is designed to compete in terms of storing, processing and time management for the students. The TI-36 X Pro is specially designed to permit users to input expressions as they would normally write it down on their notebooks (Machines 2018). In a more descriptive sense, it can be related to the way exponents are written in the form of superscripts, whereas fraction bars are represented with the inclusion of expressions. The obtained results from calculations are displayed in the form of decimal, fraction, and in some scenarios, they are also displayed in the form of radicals and coefficients of π.

The 36-X version is specifically designed to bring back the definite integral addition, one of the features that have been long missed in the non-graphing versions of TI calculators, going back to the version of TI-68. In an addition to this, the TI-36 X series comes with the addition of showing the results with the sums (Σ), and products (Π). In regards to the interface of TI-36 X, it appears to be an upgrade of TI-84+ (Machines 2018). The functions can be utilized while cycling through the list, to locate the needed expression. Most of them are as follow,

[ln] log button: log to any base, ln, and logThe e 10 button: e^ and 10^ buttons

Π e ι button: The buttons for constant of pi, for the constant of e, √-1 which works for most of the complex number values.

Despite these features, the 36-X Pro is celebrated to one of the calculators in the series that is rich with functionality, with functions for operations such as absolute value, polar to the rectangular conversation, modulus, matrix operations, vectors, conversions of base n, logic functions, integer extractions, prime factorization etc. Another important feature that TI-36 X Pro comes with is the numeric solver functionality, which is capable of solving multiple and complex equations much smoothly and quickly. Users can input as many as two to three equations at the same time for the calculator to solve. The best functionality of numeric solver is that it comes with the predefined setting of having the equation set to zero, so the user is not needed to do it manually. Numeric solver has the functionality of prompting the user if there is no solution for a provided equation, such as in the case of 3×3 equations, which may have solutions to them. A common example of this can be exemplified through the mention of x = -168/11 + 12z, y +72/11 -4z, z = z. The polynomial solver is only available for the cubic and quadratic equations only and will not work in any other scenario

**Conclusion**

TI-36 X Pro Calculator is among one of the best options, with its enhanced features supporting the needs of students either in high school or college. The calculator has been designed to accommodate the needs of many, with every feature carefully programmed by the mutual collaboration of practitioners from all over the world. This calculator is the next best option in scenarios where graphing calculators are not permitted, allowing the students to enjoy their learning and exploration phase. Equipped with an LCD that can display up to 4 lines of expressions or numerical equations on it, a total of 16 characters as the maximum limit. There are functions that are capable of converting decimals, fractions and other terms inclusive of Pi, into an alternation interpretation/representation. There is also an option for users to use functions of radians, degrees, fix and floating number format modes. The features of the calculator are divided into different features, with their respective functions for each keystroke. TI-36 X Pro Calculator uses the operating system functions under the name of Equation Operating System (EOSTM) which is utilized to evaluate different expressions.

**References**

Machines, O., & Calculators, S. (2018). Texas Instruments TI 36X Pro Scientific Calculator by Office Depot & OfficeMax. Officedepot.com. Retrieved 9 March 2018, from https://www.officedepot.com/a/products/944889/Texas-Instruments-TI-36X-Pro-Scientific/

Michon, G. (2018). Using the TI-36X Pro Scientific Calculator – Numericana. Numericana.com. Retrieved 9 March 2018, from http://www.numericana.com/answer/ti.htm

TEXAS INSTRUMENTS TI-36X PRO USER MANUAL Pdf Download.. (2018). Manualslib.com. Retrieved 9 March 2018, from https://www.manualslib.com/manual/376302/Texas-Instruments-Ti-36x-Pro.html

**If you don’t have this Calculator, You can follow the link to buy : ****TI-36 X pro Calculator ( Click here to go to Amazon ) **

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

TI-36 X proCalculator |

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