imageimage

TI-84 Plus and TI-84 Plus Silver Edition‌

Guidebook


Note: This guidebook for the TI-84 Plus or TI-84 Plus Silver Edition with operating system (OS) version 2.55MP. If your calculator has a previous OS version, your screens may look different and some features may not be available. You can download the latest OS education.ti.com/guides.

Important Information


Texas Instruments makes no warranty, either express or implied, including but not limited to any implied warranties of merchantability and fitness for a particular purpose, regarding any programs or book materials and makes such materials available solely on an "as-is" basis. In no event shall Texas Instruments be liable to anyone for special, collateral, incidental, or consequential damages in connection with or arising out of the purchase or use of these materials, and the sole and exclusive liability of Texas Instruments, regardless of the form of action, shall not exceed the purchase price of this product. Moreover, Texas Instruments shall not be liable for any claim of any kind whatsoever against the use of these materials by any other party.


© 2004–2010 Texas Instruments Incorporated

Vernier EasyData, Vernier LabPro, and Vernier Go! Motion are a trademarks of Vernier Software & Technology.

Contents


Important Information ii

Chapter 1:

Operating the TI-84 Plus Silver Edition 1

Documentation Conventions 1

TI-84 Plus Keyboard 1

Turning On and Turning Off the TI-84 Plus 3

Setting the Display Contrast 4

The Display 5

Interchangeable Faceplates 8

Using the Clock 9

Entering Expressions and Instructions 11

Setting Modes 14

Using TI-84 Plus Variable Names 19

Storing Variable Values 20

Recalling Variable Values 21

Scrolling Through Previous Entries on the Home Screen 22

ENTRY (Last Entry) Storage Area 22

TI-84 Plus Menus 25

VARS and VARS Y-VARS Menus 27

Equation Operating System (EOSâ„¢) 29

Special Features of the TI-84 Plus 30

Other TI-84 Plus Features 31

Error Conditions 33

Chapter 2:

Math, Angle, and Test Operations 35

Getting Started: Coin Flip 35

Keyboard Math Operations 36

MATH Operations 38

Using the Equation Solver 42

MATH NUM (Number) Operations 45

Entering and Using Complex Numbers 50

MATH CPX (Complex) Operations 54

MATH PRB (Probability) Operations 56

ANGLE Operations 59

TEST (Relational) Operations 62

TEST LOGIC (Boolean) Operations 63

Chapter 3:

Function Graphing 65

Getting Started: Graphing a Circle 65

Defining Graphs 66

Setting the Graph Modes 67

Defining Functions 68

Selecting and Deselecting Functions 69

Setting Graph Styles for Functions 71

Setting the Viewing Window Variables 73

Setting the Graph Format 74

Displaying Graphs 76

Exploring Graphs with the Free-Moving Cursor 78

Exploring Graphs with TRACE 78

Exploring Graphs with the ZOOM Instructions 80

Using ZOOM MEMORY 85

Using the CALC (Calculate) Operations 87

Chapter 4:

Parametric Graphing 91

Getting Started: Path of a Ball 91

Defining and Displaying Parametric Graphs 93

Exploring Parametric Graphs 95

Chapter 5:

Polar Graphing 97

Getting Started: Polar Rose 97

Defining and Displaying Polar Graphs 98

Exploring Polar Graphs 100

Chapter 6:

Sequence Graphing 102

Getting Started: Forest and Trees 102

Defining and Displaying Sequence Graphs 103

Selecting Axes Combinations 107

Exploring Sequence Graphs 107

Graphing Web Plots 109

Using Web Plots to Illustrate Convergence 110

Graphing Phase Plots 111

Comparing TI-84 Plus and TI-82 Sequence Variables 113

Keystroke Differences Between TI-84 Plus

and TI-82 114

Chapter 7:

Tables 115

Getting Started: Roots of a Function 115

Setting Up the Table 116

Defining the Dependent Variables 117

Displaying the Table 118

Chapter 8:

Draw Instructions 121

Getting Started: Drawing a Tangent Line 121

Using the DRAW Menu 122

Clearing Drawings 123

Drawing Line Segments 124

Drawing Horizontal and Vertical Lines 125

Drawing Tangent Lines 126

Drawing Functions and Inverses 127

Shading Areas on a Graph 128

Drawing Circles 128

Placing Text on a Graph 129

Using Pen to Draw on a Graph 130

Drawing Points on a Graph 131

Drawing Pixels 132

Storing Graph Pictures (Pic) 134

Recalling Graph Pictures (Pic) 135

Storing Graph Databases (GDB) 135

Recalling Graph Databases (GDB) 136

Chapter 9:

Split Screen 137

Getting Started: Exploring the Unit Circle 137

Using Split Screen 138

Horiz (Horizontal) Split Screen 139

G-T (Graph-Table) Split Screen 140

TI-84 Plus Pixels in Horiz and G-T Modes 141

Chapter 10:

Matrices 143

Getting Started: Using the MTRX Shortcut Menu 143

Getting Started: Systems of Linear Equations 144

Defining a Matrix 145

Viewing and Editing Matrix Elements 146

Using Matrices with Expressions 148

Displaying and Copying Matrices 149

Using Math Functions with Matrices 151

Using the MATRX MATH Operations 154

Chapter 11:

Lists 161

Getting Started: Generating a Sequence 161

Naming Lists 162

Storing and Displaying Lists 163

Entering List Names 164

Attaching Formulas to List Names 165

Using Lists in Expressions 167

LIST OPS Menu 168

LIST MATH Menu 175

Chapter 12:

Statistics 178

Getting Started: Pendulum Lengths and Periods 178

Setting Up Statistical Analyses 184

Using the Stat List Editor 185

Attaching Formulas to List Names 188

Detaching Formulas from List Names 190

Switching Stat List Editor Contexts 190

Stat List Editor Contexts 192

STAT EDIT Menu 193

Regression Model Features 195

STAT CALC Menu 198

Statistical Variables 206

Statistical Analysis in a Program 207

Statistical Plotting 208

Statistical Plotting in a Program 212

Chapter 13:

Inferential Statistics and Distributions 215

Getting Started: Mean Height of a Population 215

Inferential Stat Editors 218

STAT TESTS Menu 221

Inferential Statistics Input Descriptions 239

Test and Interval Output Variables 240

Distribution Functions 241

Distribution Shading 248

Chapter 14:

Applications 251

The Applications Menu 251

Getting Started: Financing a Car 252

Getting Started: Computing Compound Interest 253

Using the TVM Solver 253

Using the Financial Functions 254

Calculating Time Value of Money (TVM) 255

Calculating Cash Flows 257

Calculating Amortization 258

Calculating Interest Conversion 261

Finding Days between Dates/Defining Payment Method 261

Using the TVM Variables 262

The EasyDataâ„¢ Application 263

Chapter 15:

CATALOG, Strings, Hyperbolic Functions 266

Browsing the TI-84 Plus CATALOG 266

Entering and Using Strings 267

Storing Strings to String Variables 268

String Functions and Instructions in the CATALOG 269

Hyperbolic Functions in the CATALOG 273

Chapter 16:

Programming 275

Getting Started: Volume of a Cylinder 275

Creating and Deleting Programs 276

Entering Command Lines and Executing Programs 278

Editing Programs 279

Copying and Renaming Programs 280

PRGM CTL (Control) Instructions 281

PRGM I/O (Input/Output) Instructions 288

Calling Other Programs as Subroutines 293

Running an Assembly Language Program 294

Chapter 17:

Activities 296

The Quadratic Formula 296

Box with Lid 299

Comparing Test Results Using Box Plots 306

Graphing Piecewise Functions 308

Graphing Inequalities 309

Solving a System of Nonlinear Equations 310

Using a Program to Create the Sierpinski Triangle 311

Graphing Cobweb Attractors 312

Using a Program to Guess the Coefficients 313

Graphing the Unit Circle and Trigonometric Curves 315

Finding the Area between Curves 316

Using Parametric Equations: Ferris Wheel Problem 317

Demonstrating the Fundamental Theorem of Calculus 319

Computing Areas of Regular N-Sided Polygons 321

Computing and Graphing Mortgage Payments 323

Chapter 18:

Memory and Variable Management 326

Checking Available Memory 326

Deleting Items from Memory 329

Clearing Entries and List Elements 329

Archiving and UnArchiving Variables 330

Resetting the TI-84 Plus 333

Grouping and Ungrouping Variables 336

Garbage Collection 339

ERR:ARCHIVE FULL Message 343

Chapter 19:

Communication Link 344

Getting Started: Sending Variables 344

TI-84 Plus LINK 345

Selecting Items to Send 347

Receiving Items 350

Backing Up RAM Memory 351

Error Conditions 352

Appendix A:

Functions and Instructions 354

Appendix B:

Reference Information 383

Variables 383

Statistics Formulas 384

Financial Formulas 387

Important Things You Need to Know About Your TI-84 Plus 391

Error Conditions 394

Accuracy Information 398

Appendix C:

Service and Warranty Information 400

Texas Instruments Support and Service 400

Battery Information 400

In Case of Difficulty 402

Chapter 1:

Operating the TI-84 Plus Silver Edition


Documentation Conventions


In the body of this guidebook, TI-84 Plus refers to the TI-84 Plus Silver Edition, but all of the instructions, examples, and functions in this guidebook also work for the TI-84 Plus. The two graphing calculators differ only in available RAM memory, interchangeable faceplates, and Flash application ROM memory. Sometimes, as in Chapter 19, the full name TI-84 Plus Silver Edition is used to distinguish it from the TI-84 Plus.


Screen shots were taken using OS version 2.53MP and higher in either MathPrintâ„¢ or Classic mode. All features are available in both modes; however, screens make look slightly different depending on the mode setting. Many examples highlight features that are not available in previous OS versions. If your calculator does not have the latest OS, features may not be available and your screens may look different. You can download the latest OS from education.ti.com.


A new MODE menu item, STAT WIZARDS is available with OS version 2.55MP for syntax entry help for commands and functions in the STAT CALC menu, DISTR DISTR menu, DISTR DRAW menu and the seq( function (sequence) in the LIST OPS menu. When selecting a supported statistics command, regression or distribution with the STAT WIZARDS setting ON: (the default setting) a syntax help (wizard) screen is displayed. The wizard allows the entry of required and optional arguments. The function or command will paste with the entered arguments to the Home Screen history or in most other locations where the cursor is available for input. If a command or function is accessed from [CATALOG] the command or function will paste without wizard support. Run the Catalog Help application ([APPS]) for more syntax help when needed.


TI-84 Plus Keyboard


Generally, the keyboard is divided into these zones: graphing keys, editing keys, advanced function keys, and scientific calculator keys.


Keyboard Zones


Graphing — Graphing keys access the interactive graphing features. The third function of these keys ([ALPHA] [F1] [F4]) displays the shortcut menus, which include templates for fractions, n/d, quick matrix entry, and some of the functions found on the MATH and VARS menus.


Editing — Editing keys allow you to edit expressions and values.


Advanced — Advanced function keys display menus that access the advanced functions.


Scientific — Scientific calculator keys access the capabilities of a standard scientific calculator.

TI-84 Plus Silver Edition


image

Graphing Keys are in the top row. Editing Keys are in the second and third rows.

Advanced Function Keys are in the fourth row.

Scientific Calculator Keys are in rows five through ten.


Using the Color-Coded Keyboard


The keys on the TI-84 Plus are color-coded to help you easily locate the key you need.


The light colored keys are the number keys. The keys along the right side of the keyboard are the common math functions. The keys across the top set up and display graphs. The [APPS] key provides access to applications such as the Inequality Graphing, Transformation Graphing, Conic Graphing, Polynomial Root Finder and Simultaneous Equation Solver, and Catalog Help.


The primary function of each key is printed on the keys. For example, when you press [MATH], the

MATH menu is displayed.


Using the [2nd] and [ALPHA] Keys


The secondary function of each key is printed above the key. When you press the [2nd] key, the character, abbreviation, or word printed above the other keys becomes active for the next keystroke. For example, when you press [2nd] and then [MATH], the TEST menu is displayed. This guidebook describes this keystroke combination as [2nd] [TEST].


Many keys also have a third function. These functions are printed above the keys in the same color as the [ALPHA] key. The third functions enter alphabetic characters and special symbols as well as access SOLVE and shortcut menus. For example, when you press [ALPHA] and then [MATH], the letter A is entered. This guidebook describes this keystroke combination as [ALPHA] [A].

If you want to enter several alphabetic characters in a row, you can press [2nd] [A-LOCK] to lock the alpha key in the On position and avoid having to press [ALPHA] multiple times. Press [ALPHA] a second time to unlock it.


image

Note: The flashing cursor changes to Reverse A when you press [ALPHA], even if you are accessing a function or a menu.


Second row, first key is [2nd]

Accesses the second function printed above each key.


Third row, first key is [ALPHA]

Accesses the third function printed above each key.


[ALPHA] and top row keys one through four [F1]-[F4] Access shortcut menus for functionality including templates for fractions, n/d, and other functions.


Turning On and Turning Off the TI-84 PlusTurning On the Graphing Calculator


To turn on the TI-84 Plus, press [ON]. An information screen displays reminding you that you can press [ALPHA] [F1] - [F4] to display the shortcut menus. This message also displays when you reset RAM.


ï‚„ To continue but not see this information screen again, press 1.


ï‚„ To continue and see this information screen again the next time you turn on the TI-84 Plus, press 2.


n, mean of x, Sx, small sigmax, minX, maxX, Gy, Sigmay square, Sigmaxy, a, b, c, RegEQ, x1, x2, y1, z, t, F, chi square, p-hat (sample proportion), mean of x1, Sx1, n1, lower, upper, r square, R square and other statistical variables.


Statistics Formulas


This section contains statistics formulas for the Logistic and SinReg regressions, ANOVA, 2-SampFTest, and 2-SampTTest.


Logistic


The logistic regression algorithm applies nonlinear recursive least-squares techniques to optimize the following cost function:


N  c  2



J =  ----------------------- – y 

 

i = 1

ae

1 + –bxi i

which is the sum of the squares of the residual errors,


where: x =

y =

N =


the independent variable list the dependent variable list the dimension of the lists


This technique attempts to estimate the constants a, b, and c recursively to make J as small as possible.


SinReg


The sine regression algorithm applies nonlinear recursive least-squares techniques to optimize the following cost function:


2

N

J =  ï›a sinbxi + c + d – yi ï

i = 1


which is the sum of the squares of the residual errors,


where: x =

y =

N =

the independent variable list the dependent variable list the dimension of the lists


This technique attempts to recursively estimate the constants a, b, c, and d to make J as small as possible.

ANOVA(


The ANOVA F statistic is:


F =

FactorMS

-------------------------

ErrorMS


The mean squares (MS) that make up F are:


FactorMS FactorSS

= ------------------------

Factordf


ErrorMS ErrorSS

= ---------------------

Errordf


The sum of squares (SS) that make up the mean squares are:



FactorSS =

2

I

image

image

 nixi–x

i = 1


ErrorSS


I

=  ni–1Sxi2

i = 1


The degrees of freedom df that make up the mean squares are:


Factordf =

I – 1 =

numeratordf for F



Errordf =

I

 ni – 1

i = 1


= denominatordf for ‹F


where: I

image

image

xi Sxi ni x

= number of populations

= the mean of each list

= the standard deviation of each list

= the length of each list

= the mean of all lists


2-SampFTest


Below is the definition for the 2-SampFTest.


Sx1, Sx2 = Sample standard deviations having n1–1

and n2–1 degrees of freedom df, respectively.


F

= F-statistic =


 --------

 Sx1 2

Sx2

df(x, n1–1 , n2–1 ) = Fpdf( ) with degrees of freedom df, n1–1 ,

and n2–1


p = reported p value


2-SampFTest for the alternative hypothesis ï³1  ï³2 .


ï¡

p = 

F


fx,n1 – 1,n2 – 1dx


2-SampFTest for the alternative hypothesis ï³1  ï³2 .


F

p = 

0


fx,n1 – 1,n2 – 1dx


2-SampFTest for the alternative hypothesis sigma (sub 1) does not equal sigma (sub 2). Limits must satisfy the following:


Lbnd

=



p

--

2

0


fx,n1 – 1,n2 – 1dx

ï‚¥

= 

Ubnd


fx,n1 – 1,n2 – 1dx


where: [Lbnd,Ubnd] = lower and upper limits


The F-statistic is used as the bound producing the smallest integral. The remaining bound is selected to achieve the preceding integral’s equality relationship.


2-SampTTest


The following is the definition for the 2-SampTTest. The two-sample t statistic with degrees of freedom df is:



image

image

1 2

x – x t = ----------------

S


where the computation of S and df are dependent on whether the variances are pooled. If the variances are not pooled:


Sx12

Sx22

image

= -------- + ----------

S --

n1 n2


 Sx12

Sx22 2

 ---------- + ----------

 n1

n2 

df =

---------------------------------------------------------------------------

 2 2 1

 Sx 2 2

---------

------1-------- Sx1 -

+ -------------  -------2---

n1 – 1

n1 

n2 – 1

n2 

otherwise:



Sxp =

1 1 2 2

n – 1Sx 2 + n – 1Sx 2

--------------------------------------------------------------------

df


image

S 1 1

= ---- + -----Sxp

n1 n2


df =

n1 + n2 – 2


and Sxp is the pooled variance.


Financial Formulas


This section contains financial formulas for computing time value of money, amortization, cash flow, interest-rate conversions, and days between dates.


Time Value of Money


i = ï›ey ï‚´ ln x + 1 ï–1


where

:

PMT

y x

C/Y P/Y I%

does not equal

=

=

=

=

=

0

C/Y divided by P/Y

(.01 ï‚´ I%) divided by C/Y compounding periods per year payment periods per year interest rate per year


i = –FV  PV1  N – 1


where: PMT = 0

The iteration used to compute i:



= + ï‚´

image

image

1 – 1 + i

 –N

-----------------


+ FV  1 + i–N

0 PV PMT Gi

-------------

i



I% =

100 ï‚´ C  Y ï‚´ ï›ey ï‚´ ln x + 1 – 1ï


where: x = i


y = P/Y divided by C/Y


Gi =

1 + i ï‚´ k


where: k = 0 for end-of-period payments


k = 1 for beginning-of-period payments


ln  i 

PMT  G – FV  i

PMT  Gi + PV  i

 ----------------------------------------------

= ------------------------------------------

N ---------------

ln 1 + i


where: i does not equal 0


N = –PV + FV  PMT


where: i = 0



PMT =

–i

----- ï‚´

G


image

image

PV + ----P---V-----+-----F----V-----

i 1 + iN – 1


where: i does not equal 0



PMT

= –PV + FV  N


where: i = 0


image

image

PMT ï‚´ Gi

= --------------- – FV

 ------ 1 ---- – i

PMT ï‚´ G

------------------------

PV ---------

i

--------

1 + iN i

where: i does not equal 0

PV =

–FV + PMT  N

where: i = 0

PMT ï‚´ Gi

PMT ï‚´ Gi

= -------------- – 1 + iN  PV + ------------------------

FV ----------

i

 i 

where: i does not equal 0



FV =

–PV + PMT  N


where: i = 0


Amortization


If computing bal(), pmt2 = npmt


Let bal(0) = RND(PV)


Iterate from m = 1 to pmt2


 Im



= RNDï›RND12–i ï‚´ balm – 1ï

balm

= balm – 1 – Im + RNDPMT


then:


bal( )

= balpmt2


ï“Prn( )


= balpmt2 – balpmt1


ï“Int( )

= pmt2 – pmt1 + 1 ï‚´ RNDPMT – ï“Prn( )


where: RND = round the display to the number of decimal

places selected


RND12 = round to 12 decimal places


Balance, principal, and interest are dependent on the values of PMT, PV, I%, and pmt1 and pmt2.


Cash Flow



N -Sj – 1 1 – 1 + i

-nj 

npv( ) = CF0 +

 CFj1 + i

j = 1

----------------------------------

i


 j




where: Sj =

  ni



i = 1



j  1

 0 j = 0


Net present value is dependent on the values of the initial cash flow (CF (sub 0)), subsequent cash flows (CFj), frequency of each cash flow (nj), and the specified interest rate (i).


irr() = 100 ï‚´ i, where i satisfies npv() = 0

Internal rate of return is dependent on the values of the initial cash flow (CF0) and subsequent cash flows (CFj).


i = I%  100


Interest Rate Conversions


►Eff = 100  (eCP  ln x + 1 – 1)


where: x = .01 ï‚´ Nom divided by CP


â–ºNom = 100 ï‚´ CP ï‚´ [e1  CP ï‚´ ln x + 1 – 1 ï


where: x = .01 ï‚´ Eff Eff = effective rate

CP = compounding periods Nom = nominal rate


Days between Dates


With the dbd( function, you can enter or compute a date within the range Jan. 1, 1950, through Dec. 31, 2049.


Actual/actual day-count method (assumes actual number of days per month and actual number of days per year):

dbd( (days between dates) = Number of Days II - Number of Days I Number of Days I = (Y1-YB) ï‚´ 365

+ (number of days MB to M1)


+ DT1


+ Y1 – YB

------------------------

4


Number of Days II = (Y2-YB) ï‚´ 365


+ (number of days MB to M2)


+ DT2


+ Y2 – YB

------------------------

4

where: M1

DT1 Y1 M2 DT2 Y2 MB DB YB

= month of first date

= day of first date

= year of first date

= month of second date

= day of second date

= year of second date

= base month (January)

= base day (1)

= base year (first year after leap year)


Important Things You Need to Know About Your TI-84 Plus


TI-84 Plus Results


There may be a number of reasons that your TI-84 Plus is not displaying the expected results; however, the most common solutions involve order of operations or mode settings. Your calculator uses an Equation Operating Systemâ„¢ (EOSâ„¢) which evaluates the functions in an expression in the following order:


  1. Functions that precede the argument, such as square root, sin(, or log(


  2. Functions that are entered after the argument, such as exponents, factorial, r, °, and conversions


  3. Powers and roots, such as 2^5, or 5*square root(32)


  4. Permutations (nPr) and combinations (nCr)


  5. Multiplication, implied multiplication, and division


  6. Addition and subtraction


  7. Relational functions, such as > (greater than) or < (less than)


  8. Logic operator and


  9. Logic operators or and xor


Remember that EOSâ„¢ evaluates from left to right and calculations within parentheses are evaluated first. You should use parentheses where the rules of algebra may not be clear. In OS

2.53 MP, parentheses may be pasted in an expression to indicate how the input is interpreted.


If you are using trigonometric functions or performing polar and rectangular conversions, the unexpected results may be caused by an angle mode setting. The Radian and Degree angle mode settings control how the TI-84 Plus interprets angle values.


To change the angle mode settings, follow these steps:


  1. Press [MODE] to display the Mode settings.


  2. Select Degree or Radian.


  3. Press [ENTER] to save the angle mode setting.

ERR:DIM MISMATCH Error


Your TI-84 Plus displays the ERR:DIM MISMATCH error if you are trying to perform an operation that references one or more lists or matrices whose dimensions do not match. For example, multiplying L1*L2, where L1={1,2,3,4,5} and L2={1,2} produces an ERR:DIM MISMATCH error because the number of elements in L1 and L2 do not match.


ERR:INVALID DIM Error


The ERR:INVALID DIM error message may occur if you are trying to graph a function that does not involve the stat plot features. The error can be corrected by turning off the stat plots. To turn the stat plots off, press [2nd] [STAT PLOT] and then select 4:PlotsOff.


Link-Receive L1 (or any file) to Restore Message


Your TI-84 Plus displays the Link-Receive L1 (or any file) to Restore message if it has been disabled for testing, and not re-enabled. To restore your calculator to full functionality after testing, link to another TI-84 Plus and transfer any file to the disabled calculator, or use TI Connectâ„¢ software to download a file from your computer to your TI-84 Plus.


To transfer a file from another TI-84 Plus:


  1. On the receiving unit, press [2nd] [LINK] and then select RECEIVE.


  2. On the sending calculator, Press [2nd] [LINK].


  3. Select a file to send by selecting a category, and then selecting a file to send.


    image

    image


  4. Select TRANSMIT to send the file.


    image


    Contrast Feature


    If the contrast setting is too dark (set to 9) or too dim (set to 0) the unit may appear as if it is malfunctioning or turned off. To adjust the contrast, press and release [2nd], and then press and hold [up key] or [down key].

    TI-84 Plus Identification Code


    Your graphing calculator has a unique identification (ID) code that you should record and keep. You can use this 14 digit ID to register your calculator at education.ti.com or identify your calculator in the event that it is lost or stolen. A valid ID includes numbers 0 through 9 and the letters A through F.


    You can view the calculator’s Operating System, Product Number, ID, and Certificate Revision Number from the About screen. To display the About screen, press [2nd] [MEM] and then select 1:About.


    image


    Your unique product ID code:


    Backups


    Your TI-84 Plus is similar to a computer, in that it stores files and Apps that are important to you. It is always a good idea to back up your graphing calculator device files and Apps using the

    TI Connect™ software and a USB computer cable. You can find the specific procedures for backing up your calculator’s device files and Apps in the TI Connect™ Help file.


    Apps


    TI-84 Plus Software Applications (Apps) is software that you can add to your calculator in the same way you would add software to your computer. Apps let you customize your calculator for peak performance in specific areas of study. You can find apps for the TI-84 Plus at education.ti.com.


    TI-Cares KnowledgeBase


    The TI-Cares KnowledgeBase provides 24-hour access through the Web to find answers to frequently asked questions. The TI-Cares KnowledgeBase searches its repository of known solutions and presents you with the solutions that are most likely to solve your problem. You can search the TI-Cares KnowledgeBase at education.ti.com/support.

    Error Conditions


    When the TI-84 Plus detects an error, it returns an error message as a menu title, such as ERR:SYNTAX or ERR:DOMAIN. This table contains each error type, possible causes, and suggestions for correction. The error types listed in this table are each preceded by ERR: on your graphing calculator display. For example, you will see ERR:ARCHIVED as a menu title when your graphing calculator detects an ARCHIVED error type.


    image

    Error Type Possible Causes and Suggested Remedies

    image

    ARCHIVED You have attempted to use, edit, or delete an archived variable. For example, the expression dim(L1) produces an error if L1 is archived.

    image

    ARCHIVE FULL You have attempted to archive a variable and there is not enough space in archive to receive it.

    image

    ARGUMENT A function or instruction does not have the correct number of arguments. See Appendix A for function and instruction syntax.

    Appendix A displays the arguments and punctuation needed to execute the function or instruction. For example, stdDev(list[,freqlist]) is a function of the TI-84 Plus. The arguments are shown in italics. The arguments in brackets are optional and you need not type them. You must also be sure to separate multiple arguments with a comma (,). For example, stdDev(list[,freqlist]) might be entered as stdDev(L1) or stdDev(L1,L2) since the frequency list or freqlist is optional.

    image

    BAD ADDRESS You have attempted to send or receive an application and an error (e.g. electrical interference) has occurred in the transmission.

    image

    BAD GUESS • In a CALC operation, you specified a Guess that is not between Left Bound

    and Right Bound.

image


Accuracy Information


Computational Accuracy


To maximize accuracy, the TI-84 Plus carries more digits internally than it displays. Values are stored in memory using up to 14 digits with a two-digit exponent.



Disposing of used batteries safely and properly


Do not mutilate, puncture, or dispose of batteries in fire. The batteries can burst or explode, releasing hazardous chemicals. Discard used batteries according to local regulations.


Replacing the Batteries


To replace the batteries, follow these steps.


  1. Turn off the graphing calculator. Replace the slide cover over the keyboard to avoid inadvertently turning on the graphing calculator. Turn the back of the unit toward you.

  2. Hold the graphing calculator upright, push downward on the latch on the top of the battery cover, and then pull the cover toward you.


    Note: To avoid loss of information stored in memory, you must turn off the graphing calculator. Do not remove the AAA batteries and thebackup battery simultaneously.

  3. Replace all four AAA alkaline batteries simultaneously. Or, replace the backup battery.


  4. Replace the battery compartment cover. Turn the graphing calculator on and adjust the display contrast, if necessary, by pressing [2nd] [up key] or [down key].


In Case of Difficulty


Handling a Difficulty


To handle a difficulty, follow these steps.


  1. If you cannot see anything on the screen, you may need to adjust the graphing calculator contrast.

    To darken the screen, press and release [2nd], and then press and hold [up key] until the display is sufficiently dark.


    To lighten the screen, press and release [2nd], and then press and hold [down key] until the display is sufficiently light.


  2. If an error menu is displayed, follow these steps:


  3. If the busy indicator (dotted line) is displayed, a graph or program has been paused; the TI-84 Plus is waiting for input. Press [ENTER] to continue or press [ON] to break.

  4. If a checkerboard cursor is displayed, then either you have entered the maximum number of characters in a prompt, or memory is full. If memory is full:

  5. If the graphing calculator does not seem to work at all, be sure the alkaline batteries are fresh and that they are installed properly.

  6. If the TI-84 Plus does not function even though you are sure that the batteries are fresh, you can try manually resetting it.


  7. If the above solutions do not work you can reset all of the memory. The RAM, user data archive memory, and system variables are restored to factory settings when you reset all memory. All nonsystem variables, applications (Apps), and programs are deleted.


Index


Symbols

right arrow dim( (assign dimension) 169 (° (degrees notation) 379

(- (negation) 30, 37, 381

(– (subtraction) 36, 381

(! (factorial) 379

(right arrow Store 20, 375

(right arrow dim( (assign dimension) 155, 358 not equal to 380

square root 36, 381

(blank square, dot, + (pixel mark) 132, 210 plot type, histogram 209

(' (minutes notation) 60, 382 (( ) (parentheses) 29

plot type, normal probability 210 (SigmaInt( (sum of interest) 363 (SigmaPrn( (sum of principal) 368 (* (multiplication) 36, 381

plot type, modified box 209

(integral symbol f(x)dx operation on a graph 90 (*row( 160, 371

(*row+( 371

(+ (addition) 36, 381

(+ (concatenation) 270, 381

(+ (pixel mark) 132, 210 plot type, box 209

(/ (division) 36, 381

(superscript -1 (inverse) 380

(: (colon) 278

(less than) 62, 380

(= (equal-to relational test) 62, 380

(greater than) 62, 380

([ ] (matrix indicator) 148 (^ (power) 36, 380, 381 (less than or equal to) 380

(greater than or equal to) 62, 380 (superscript ² (square) 36, 380

(superscript ³ (cube) 39, 380

cube root 39, 380

(“ †(string indicator) 267

(â–ºDec (to decimal conversion) 39, 357

(â–ºDMS (to degrees/minutes/seconds) 61, 358

(â–ºEff( (to effective interest rate) 261

(â–ºFrac (to fraction) 39, 360

(â–ºNom( (to nominal interest rate) 261, 366

(â–ºPolar (to polar) 56, 368

(â–ºRect (to rectangular) 56, 371

chi-square pdf 244

chi-square test 233, 234, 245 (DeltaTbl (table step variable) 116 (DeltaX window variable 74 (Delta Y window variable 74 (Fcdf( 245

(Fpdf( 245

superscript -1 (inverse) 37

{ } (list indicator) 163


Numerics

10^( (power of ten) 381

1-PropZInt (one-proportion z confidence interval) 232, 369 1-PropZTest (one-proportion z test) 227, 369

  1. Var Stats (one-variable statistics) 200, 377

  2. PropZInt (two-proportion z confidence interval) 232, 369 2-PropZTest (two-proportion z test) 228, 369

2-SampFTest (two-sample F-Test) 235, 372

2-SampTInt (two-sample t confidence interval) 231, 372 2-SampTTest (two-sample t test) 226, 373

2-SampZInt (two-sample z confidence interval) 230, 372 2-SampZTest (two-sample z test) 225, 372

2-Var Stats (two-variable statistics) 200, 377


A

a+bi (rectangular complex mode) 17, 50, 355

about 326

above graph style 71

abs( (absolute value) 46, 55, 152, 354 accuracy information

computational and graphing 398 function limits and results 399 graphing 78

addition (+) 36, 381

alpha cursor 8

alpha-lock 14

alternative hypothesis 219 amortization

Sigma Int( (sum of interest) 363

Sigma Prn( (sum of principal) 368 bal( (amortization balance) 258, 355

calculating schedules 258

formula 389

and (Boolean operator) 63, 354

ANGLE menu 59

angle modes 16

angle( 55, 354 animate graph style 71

ANOVA( (one-way variance analysis) 238, 354, 385

Ans (last answer) 24, 329, 354 APD (Automatic Power Down) 3

applications See examples, applications 36

Apps 20, 328

AppVars 20, 328

arccosine (cos to the -1( ) 36 Archive 21, 330, 354

archive full error 343, 394

garbage collection 340

memory error 340

archived variables 383 arcsine (sin to the -1( ) 36 arctangent (tan to the -1( ) 36 Asm( 294, 354

AsmComp( 294, 354

AsmPrgm( 294, 354

assembly language programs 294 augment( 157, 173, 354 Automatic Power Down (APD) 3 automatic regression equation 196

automatic residual list (RESID) 195 axes format, sequence graphing 107

axes, displaying (AxesOn, AxesOff) 75, 355

AxesOff 75, 355

AxesOn 75, 355


B

backing up calculator memory 348, 351

bal( (amortization balance) 258, 355

batteries 4, 400 below graph style 71 binomcdf( 247, 355

binompdf( 246, 355

block 340

Boolean logic 63

box pixel mark 132, 210 Boxplot plot type 209 busy indicator 8


C

C/Y (compounding-periods-per-year variable) 253, 263 chi square cdf( (chi-square cdf) 355

chi square pdf( (chi-square pdf) 355 chi square-Test (chi-square test) 355 CALCULATE menu 87

Calculate output option 218, 220 cash flow

calculating 257

formula 389

irr( (internal rate of return) 258, 363 npv( (net present value) 258, 367

CATALOG 266

CBL 2â„¢ 293, 346, 361

CBRâ„¢ 293, 346, 361

check memory 326 checkTmr( (check timer) 355 Chi 234

chi-square cdf 245, 355

chi-square goodness of fit test 234 chi-square pdf 244, 355

chi-square test 233, 234, 355

Circle( (draw circle) 128, 355

Clear Entries 326, 356 clearing

all lists (ClrAllLists) 326, 356

drawing (ClrDraw) 123, 356

entries (Clear Entries) 326, 356

home screen (ClrHome) 292, 356

list (ClrList) 194, 356

table (ClrTable) 292, 356

Clock 9

Clock Off 11

Clock On 10

ClockOff, turn clock off 356 ClockOn, turn clock on 356 ClrAllLists (clear all lists) 326, 356

ClrDraw (clear drawing) 123, 356

ClrHome (clear home screen) 292, 356


ClrList (clear list) 194, 356

ClrTable (clear table) 292, 356 coefficients of determination (r2, R2) 196 colon separator (:) 278

combinations (nCr) 57, 366

compiling an assembly program 294, 354 complex

modes (a+bi, re^thetai) 17, 50, 355, 370

numbers 17, 50, 370

compounding-periods-per-year variable (C/Y) 253, 263

concatenation (+) 270, 381

confidence intervals 36, 220

conj( (conjugate) 54, 356

Connected (plotting mode) 17, 356

connecting two calculators 346, 349

contrast (display) 4

convergence, sequence graphing 110 conversions

â–ºDec (to decimal) 39, 357

â–ºDMS (to degrees/minutes/ seconds) 61, 358

â–ºEff (to effective interest rate) 261

4F3 4D 50

â–ºFrac (to fraction conversion) 39, 360

4n/d3 4Un/d 49

â–ºNom (to nominal interest rate conversion) 261, 366

â–ºPolar (to polar conversion) 56, 368

â–ºRect (to rectangular conversion) 56, 371

Equâ–ºString( (equation-to-string conversion) 270, 359

Listâ–ºmatr( (list-to-matrix conversion) 158, 173, 364

Matrâ–ºlist( (matrix-to-list conversion) 157, 174, 365

Pâ–ºRx(, Pâ–ºRy( (polar-to-rectangular conversion) 61,

3d69

Râ–ºPr(, Râ–ºPtheta( (rectangular-to-polar conversion) 372

Râ–ºPr(, Râ–ºPtheta( (rectangular-to-polar conversion) 61

Stringâ–ºEqu( (string-to-equation conversion) 271, 375 convert time, timeCnv( ) 376

CoordOff 75, 356

CoordOn 75, 356

correlation coefficient (r) 196 cos( (cosine) 36, 356

cos superscript -1( (arccosine) 36, 356

cosh( (hyperbolic cosine) 273, 356

cosh superscript -1( (hyperbolic arccosine) 273, 356 cosine (cos( ) 36

cosine (cos( ) 356

cross pixel mark (+) 132, 210

cube (³) 39, 380

cube root 39

cube root 380

cubic regression (CubicReg) 201, 356

CubicReg (cubic regression) 201, 356

cumSum( (cumulative sum) 158, 170, 357

cumulative sum (cumSum( ) 158, 170 cumulative sum (cumSum( ) 357 cursors 8, 14

D

Data input option 218, 219 dayOfWk( (day of week) 357 days between dates (dbd( ) 261

days between dates (dbd( ) 357, 390 dbd( (days between dates) 261, 357, 390 decimal mode (float or fixed) 16

decrement and skip (DS< less than( ) 286 decrement and skip (DS< less than( ) 358 definite integral 40, 89, 96

defragmenting 340

Degree angle mode 16, 60, 357

degrees notation 60, 379

delete variable contents (DelVar) 287, 357 deleting items from memory 329 DependAsk 116, 118, 357

DependAuto 116, 118, 357

derivative See numerical derivative 36 det( (determinant) 155, 357 determinant (det( ) 155

determinant (det( ) 357 DiagnosticOff 196, 357

DiagnosticOn 196, 357

diagnostics display mode(r, r2, R2) 196 differentiation 42, 89, 96, 101

dim( (dimension) 155, 169, 357

dimensioning a list or matrix 155, 169, 357

Disp (display) 290, 358

DispGraph (display graph) 291, 358

display contrast 4

display cursors 8

Displaying the Clock Settings 9 DispTable (display table) 291, 358 DISTR (distributions menu) 241

DISTR DRAW (distributions drawing menu) 248 distribution functions

binomcdf( 247, 355

binompdf( 246, 355 chi square cdf( 355 chi square ²pdf( 355 Fcdf( 244, 375

Fpdf( 243, 376

geometcdf( 248, 361

geometpdf( 248, 361

invNorm( 243, 363

normalcdf( 242, 366

normalpdf( 242, 366

poissoncdf( 247, 368

poissonpdf( 247, 368 distribution shading instructions

Shade_t( 249, 374

Shadechi²( 250, 374

ShadeF( 250, 374

ShadeNorm( 249, 374

division (/) 36, 381

Delta List( 171, 364

DMS (degrees/minutes/seconds entry notation) 60, 382

Dot (plotting mode) 17, 358 dot graph style 71

dot pixel mark (•) 132, 210

dr/d theta operation on a graph 101 DRAW menu 122

Draw output option 218, 220 DRAW POINTS menu 131

DRAW STO (draw store menu) 134 DrawF (draw a function) 127, 358 drawing on a graph

circles (Circle( ) 128

functions and inverses (DrawF, DrawInv) 127 line segments (Line( ) 124

lines (Horizontal, Line(, Vertical) 125 points (Pt-Change, Pt-Off, Pt-On) 131 tangents (Tangent) 126

text (Text) 129

using Pen 130

DrawInv (draw inverse) 127, 358

DS< less than( (decrement and skip) 286, 358 DuplicateName menu 350

dx/dt operation on a graph 89, 96 dy/dx operation on a graph 89, 96, 101


E

E (exponent) 12, 15, 358

e^( (exponential) 37, 358 edit keys table 13

Else 282

End 283, 359

Eng (engineering notation mode) 15, 359 ENTRY (last entry key) 22

entry cursor 8

EOS (Equation Operating System) 29 eqn (equation variable) 42

Equâ–ºString( (equation-to-string conversion) 270, 359

equal-to relational test (=) 62, 380 Equation Operating System (EOS) 29 Equation Solver 42

equations with multiple roots 44 errors

diagnosing and correcting 33 messages 394

examples—applications area between curves 316

areas of regular n-sided polygons 321 box plots 306

box with lid 299

defining a 299

defining a table of values 300 setting the viewing window 302 tracing the graph 303

zooming in on the graph 304 zooming in on the table 301

cobweb attractors 312

fundamental theorem of calculus 319 guess the coefficients 313 inequalities 309

mortgage payments 323

parametric equations, ferris wheel problem 317 piecewise functions 308

quadratic formula

converting to a fraction 297 displaying complex results 298 entering a calculation 297

Sierpinski triangle 311

solving a system of nonlinear equations 310 unit circle and trig curves 315

examples—Getting Started coin flip 35

compound interest 253 drawing a tangent line 121 financing a car 252

forest and trees 102 generating a sequence 161

mean height of a population 215 path of a ball 91

pendulum lengths and periods 178 polar rose 97

roots of a function 115 sending variables 344

solving a system of linear equations 144 unit circle 137

volume of a cylinder 275 examples—miscellaneous

calculating outstanding loan balances 259 convergence 110

daylight hours in Alaska 204 predator-prey model 111

examplesóGetting Started graphing a circle 65

exponential regression (ExpReg) 202, 359

expr( (string-to-expression conversion) 270, 359

ExpReg (exponential regression) 202, 359

expression 11

converting from string (expr( ) 270 converting from string (expr( ) 359 turning on and off (ExprOn 76, 359

ExprOff (expression off) 76, 359

ExprOn (expression on) 76, 359


F

Faceplates 8

factorial (!) 379 family of curves 77 Fill( 156, 359

FINANCE CALC menu 254 FINANCE VARS menu 262

financial functions amortization schedules 258

cash flows 257

days between dates 261 interest rate conversions 261 payment method 262

time value of money (TVM) 255 Fix (fixed-decimal mode) 16, 359

fixed-decimal mode (Fix) 16, 359

Float (floating-decimal mode) 16, 359

floating-decimal mode (Float) 16, 359 fMax( (function maximum) 360 fMin( (function minimum) 40, 360

fnInt( (function integral) 41, 360

FnOff (function off) 70, 360

FnOn (function on) 70, 360

For( 283, 360

format settings 74, 107 formulas

amortization 389

ANOVA 385

cash flow 389

days between dates 390 interest rate conversions 390 logistic regression 384

sine regression 384

time value of money 387 two-sample F-Test 385 two-sample t test 386

fPart( (fractional part) 47, 154, 360 fractions

n/d 18, 50

Un/d 18, 50

free-moving cursor 78

frequency 199

Full (full-screen mode) 17, 360

full-screen mode (Full) 17, 360

Func (function graphing mode) 16, 360 function graphing

accuracy 78

CALC (calculate menu) 87 defining and displaying 66 defining in the Y= editor 68

defining on the home screen, in a program 68 deselecting 69

displaying 66, 73, 76

Delta X and Delta Y window variables 74 evaluating 69

family of curves 77 format settings 74

free-moving cursor 78

graph styles 71 maximum of (fMax( ) 40

maximum of (fMax( ) 360 minimum of (fMin( ) 360 modes 16, 67, 360

moving the cursor to a value 79 overlaying functions on a graph 77 panning 80

pausing or stopping a graph 76 Quick Zoom 80

selecting 69, 70, 360

shading 72

Smart Graph 76

tracing 78

viewing window 73

window variables 73

Y= editor 68

ZOOM MEMORY menu 85

ZOOM menu 80 function integral (fnInt( ) 41 function integral (fnInt( ) 360 function, definition of 12

functions and instructions table 354 future value 253, 257

FV (future-value variable) 253, 263


G

garbage collecting 339

GarbageCollect 341, 360

gcd( (greatest common divisor) 48, 360 GDB (graph database) 135

geometcdf( 248, 361

geometpdf( 248, 361

Get( (get data from CBL 2â„¢ or CBRâ„¢) 293, 361 GetCalc( (get data from TI-84 Plus) 292, 361 getDate, get current date 361

getDtFmt, get date format 361 getDtStr( (get date string) 361 getKey 292, 361

getTime, get current time 361

Getting Started See examples, Getting Started 36 getTmFmt, get time format 361

getTmStr( (get time string) 361 Goto 285, 361

graph database (GDB) 135 graph style

above 71

animate 71

below 71

dot 71

line 71

path 71

shade above 71

shade below 71

thick 71

graph styles 71

graphing modes 16

graphing-order modes 17

GraphStyle( 288, 362

graph-table split-screen mode (G-T) 17, 140, 362

greater than (>) 62, 380

greater than or equal to 62, 380 greatest common divisor (gcd( ) 48 greatest common divisor (gcd( ) 360 greatest integer (int( ) 47, 154 greatest integer (int( ) 363

GridOff 75, 362

GridOn 75, 362

grouping 336

G-T (graph-table split-screen mode) 17, 140, 362


H

Histogram plot type 209 home screen 5

scrolling 5, 22

Horiz (horizontal split-screen mode) 17, 139, 362

Horizontal (draw line) 125, 362

hyperbolic functions 273

hypothesis tests 223


I

i (complex number constant) 52

I% (annual interest rate variable) 253, 263 identity( 156, 362

If instructions

If 282, 362

If-Then 282, 362

If-Then-Else 282, 362

imag( (imaginary part) 55, 362 imaginary part (imag( ) 55 imaginary part (imag( ) 362 implied multiplication 29

increment and skip (IS> greater than( ) 286 increment and skip (IS> greater than ( ) 363 independent variable 116, 118, 362

IndpntAsk 116, 118, 362

IndpntAuto 116, 118, 362 inferential stat editors 218 inferential statistics

alternative hypotheses 219

bypassing editors 220

calculating test results (Calculate) 220 confidence interval calculations 220 data input or stats input 219

entering argument values 219 graphing test results (Draw) 220 input descriptions table 239 pooled option 220

STAT TESTS menu 221

test and interval output variables 240 inferential statistics See stat tests 36 Input 289, 362

insert cursor 8

Installing New Faceplates 9 Installing new faceplates 9 inString( (in string) 271, 363 instruction, definition of 13

int( (greatest integer) 47, 154, 363

integer part (iPart( ) 47, 154 integer part (iPart( ) 363

integral See numerical integral 36

interest rate conversions

â–ºEff( (compute effective interest rate) 261

â–ºNom( (compute nominal interest rate) 261

calculating 261

formula 390

internal rate of return (irr( ) 258 internal rate of return (irr( ) 363 intersect operation on a graph 89 inverse (superscript -1) 37, 380

inverse cumulative normal distribution (invNorm( ) 243 inverse cumulative normal distribution (invNorm( ) 363 inverse trig functions 36

invNorm( (inverse cumulative normal distribution) 243, 363 invT (inverse Student T distribution) 243

iPart( (integer part) 47, 154, 363 irr( (internal rate of return) 258, 363

IS> greater than ( (increment and skip) 286, 363 isClockOn, is clock on 363

K

keyboard

layout 1

math operations 36

key-code diagram 292


L

L (user-created list name symbol) 174 LabelOff 76, 363

LabelOn 76, 363 labels

graph 76, 363

program 285, 363

Last Entry 22

Lbl (label) 285, 363

lcm( (least common multiple) 48, 364 least common multiple (lcm( ) 48 least common multiple (lcm( ) 364 length( of string 271, 364

less than (<) 62, 380

less than or equal to 62, 380 line graph style 71

line segments, drawing 124 Line( (draw line) 125, 364

lines, drawing 125

LINK RECEIVE menu 350 LINK SEND menu 347

linking

receiving items 350

to a CBL 2â„¢ or CBRâ„¢ 346 to a PC or Macintosh 346

to a TI-84 Plus Silver Edition or TI-84 Plus 351 transmitting items 344

two TI-84 Plus units 348

Link-Receive L1 (or any file) to Restore message 392 LinReg(a+bx) (linear regression) 202, 364

LinReg(ax+b) (linear regression) 201, 364 LinRegTTest (linear regression t test) 236, 364 LinReqTInt (confidence interval for slope) 237 LIST MATH menu 175

LIST NAMES menu 164 LIST OPS menu 168

Listâ–ºmatr( (lists-to-matrix conversion) 158, 173, 364

lists

accessing an element 164 attaching formulas 165, 166, 188 clearing all elements 187 copying 163

creating 162, 186

deleting from memory 164, 329

detaching formulas 166, 190

dimension 163

entering list names 165, 185 indicator ({ }) 163

naming lists 162

storing and displaying 163

using to graph a family of curves 77, 164 using with math operations 36, 167

ln( 37, 364

LnReg (logarithmic regression) 202, 364

log( 37, 364

Logistic (regression) 203, 364 logistic regression formula 384


M

Manual Linear Fit 198, 205 marked for deletion 340

MATH CPX (complex menu) 54 MATH menu 38

MATH NUM (number menu) 45 math operations 36

MATH PRB (probability menu) 56

Matrâ–ºlist( (matrix-to-list conversion) 157, 174, 365 matrices

accessing elements 150

copying 150

defined 145

deleting from memory 146 dimensions 146, 155, 156 displaying a matrix 149 displaying matrix elements 146 editing matrix elements 147 indicator ([ ]) 148

math functions 151

matrix math functions (det(, superscript T, dim(, Fill(, identity(, randM(, augment(, Matrâ–ºlist(,

Listâ–ºmatr(, cumSum( ) 154 quick matrix 143

relational operations 153

row operations (ref(, rref(, rowSwap(, row+(, *row(,

*row+( ) 158

selecting 145

viewing 146 MATRX EDIT menu 145

MATRX MATH menu 154

max( (maximum) 48, 175, 365 maximum of a function (fMax( ) 40 maximum of a function (fMax( ) 360 maximum operation on a graph 88 mean( 175, 365

Med(Med (median-median) 200

median( 175, 365

Med-Med (median-median) 365 Mem Mgmt/Del menu 327 memory

backing up 351

checking available 326

clearing all list elements from 330 clearing entries from 329

deleting items from 329 error 341

insufficient during transmission 353 resetting defaults 334

resetting memory 334

MEMORY menu 326

Menu( (define menu) 286, 365

menus 25, 26

defining (Menu( ) 286 defining (Menu( ) 365 scrolling 26

shortcut 1, 6

min( (minimum) 48, 175, 365 minimum of a function (fMin( ) 40 minimum of a function (fMin( ) 360 minimum operation on a graph 88 minutes notation (') 60, 382 ModBoxplot plot type 209

mode

Answers 18

Classic 5, 18

MathPrint 5, 18

mode settings 14

a+bi (complex rectangular) 17, 50, 355

Connected (plotting) 17, 356

Degree (angle) 16, 61, 357

Dot (plotting) 17, 358

Eng (notation) 15, 359

Fix (decimal) 16, 359

Float (decimal) 16, 359

Full (screen) 17, 360

Func (graphing) 16, 360

G-T (screen) 17, 362

Horiz (screen) 17, 362

Normal (notation) 15, 366

Par/Param (graphing) 16, 367

Pol/Polar (graphing) 16, 368

Radian (angle) 16, 61, 370 re^theta i (complex polar) 370 re^theta i (complex polar) 17, 50

Real 17, 370

Sci (notation) 15, 373

Seq (graphing) 16, 373

Sequential (graphing order) 17, 373

Simul (graphing order) 17, 374 modified box plot type 209 multiple entries on a line 12 multiplication (*) 36, 381

multiplicative inverse 37


N

N (number of payment periods variable) 253, 263 n/d 18, 50

nCr (number of combinations) 57, 366

nDeriv( (numerical derivative) 40, 366

negation (-) 30, 37, 381

nonrecursive sequences 105

normal distribution probability (normalcdf( ) 242, 366 Normal notation mode 15, 366

normal probability plot type 210

normalcdf( (normal distribution probability) 242 normalpdf( (probability density function) 242, 366 NormProbPlot plot type 210

not equal to 62, 380

not( (Boolean operator) 63, 367

nPr (permutations) 57, 367

npv( (net present value) 258, 367

numerical derivative 40, 89, 96, 101

numerical integral 40, 90

O

Omit 338, 351

one-proportion z confidence interval (1-PropZInt) 232, 369 one-proportion z test (1-PropZTest) 227, 369

one-sample t confidence interval (TInterval) 229, 376 one-variable statistics (1-Var Stats) 200, 377

or (Boolean) operator 63, 367 order of evaluating equations 29 Output( 142, 291, 367

Overwrite 338, 350

Overwrite All 338


P

P/Y (number-of-payment-periods-per-year variable) 253, 263

Pâ–ºRx(, Pâ–ºRy( (polar-to-rectangular conversions) 61, 369

panning 80

Par/Param (parametric graphing mode) 16, 367

parametric equations 94 parametric graphing

CALC (calculate operations on a graph) 96 defining and editing 94

free-moving cursor 95

graph format 94

graph styles 93

moving the cursor to a value 96 selecting and deselecting 94 setting parametric mode 93 tracing 96

window variables 94

Y= editor 93

zoom operations 96

parentheses 29 path graph style 71 Pause 284, 367 pausing a graph 76 Pen 130

permutations (nPr) 57, 367

phase plots 111

Pic (pictures) 134

pictures (Pic) 134

pixels in Horiz/G-T modes 133, 141

Plot1( 210, 367

Plot2( 210, 367

Plot3( 210, 367

PlotsOff 212, 368

PlotsOn 212, 368

plotting modes 17 plotting stat data 208

PMT (payment amount variable) 253, 263

Pmt_Bgn (payment beginning variable) 262, 368

Pmt_End (payment end variable) 262, 368

poissoncdf( 247, 368

poissonpdf( 247, 368

Pol/Polar (polar graphing mode) 16, 98, 368

polar equations 98

polar form, complex numbers 52 polar graphing

CALC (calculate operations on a graph) 101 defining and displaying 98

equations 98

free-moving cursor 100

graph format 99

graph styles 98

mode (Pol/Polar) 16, 98, 368 moving the cursor to a value 100 selecting and deselecting 98 tracing 100

window variables 99

Y= editor 98

ZOOM operations 101

PolarGC (polar graphing coordinates) 75, 368

pooled option 218, 220

power (^) 36, 380, 381 power of ten (10^( ) 37 power of ten (10^( ) 381 present value 253, 256

previous entry (Last Entry) 22 prgm (program name) 287, 368

PRGM CTL (program control menu) 281 PRGM EDIT menu 280

PRGM EXEC menu 280 PRGM NEW menu 277

probability 56

probability density function (normalpdf( ) 242 probability density function (normalpdf( ) 366 prod( (product) 176, 368

programming

copying and renaming 280 creating new 277

defined 276

deleting 277

deleting command lines 280 editing 279

entering command lines 278 executing 279

inserting command lines 280 instructions 281

name (prgm) 287, 368

renaming 280

running assembly language program 294 stopping 279

subroutines 293

Prompt 290, 369

Pt-Change( 132, 369

Pt-Off( 132, 369

Pt-On( 131, 369

PV (present value variable) 253, 263

p-value 240

PwrReg (power regression) 203, 369

Pxl-Change( 133, 369

Pxl-Off( 133, 369

Pxl-On( 133, 369

pxl-Test( 133, 369


Q

QuadReg (quadratic regression) 201, 370

QuartReg (quartic regression) 202, 370

Quick Zoom 80

Quit 338, 351


R

r (correlation coefficient) 196

R (radian notation) 61, 379

r2, R2 (coefficients of determination) 196

Râ–ºPr(, Râ–ºP theta( (rectangular-to-polar conversions) 372 Râ–ºPr(, Râ–ºP theta( (rectangular-to-polar conversions) 61 Radian angle mode 16, 61, 370

radian notation (superscript r) 61, 379 RAM ARCHIVE ALL menu 333

rand (random number) 57, 370

randBin( (random binomial) 59, 370

randInt( (random integer) 58, 370

randIntNoRep( 59

randM( (random matrix) 157, 370

randNorm( (random Normal) 58, 370

random seed 57

RCL (recall) 21

re^theta i (polar complex mode) 370 re^theta i (polar complex mode) 17, 50 Real mode 17, 370

real( (real part) 54, 370

RecallGDB 136, 370

RecallPic 135, 370

rectangular form, complex numbers 52

RectGC (rectangular graphing coordinates) 75, 371

recursive sequences 105

re-enabling a disabled calculator 392 ref( (row-echelon form) 159, 371

RegEQ (regression equation variable) 196, 329 regression model

automatic regression equation 196 automatic residual list feature 195 diagnostics display mode 196 models 200

relational operations 62, 153

remainder( 49 Removing a Faceplate 9 Repeat 284, 371

RESET MEMORY menu 336

resetting

all memory 336

archive memory 335

defaults 334

memory 334

RAM memory 334 residual list (RESID) 195 Return 287, 371

root (xth root) 40, 379 root of a function 88 round( 47, 152, 371

row+( 371

rowSwap( 159, 371

rref( (reduced-row-echelon form) 159, 372


S

Sci (scientific notation mode) 15, 373

scientific notation 12

screen modes 17 second cursor (2nd) 8 second key (2nd) 2

seconds DMS notation (â€) 60 sector 340

Select( 171, 373 selecting

data points from a plot 172

functions from the home screen or a program 70 functions in the Y= editor 70

stat plots from the Y= editor 70

Send( (send to CBL 2â„¢ or CBRâ„¢) 293, 373 SendID 347

sending See transmitting 36

SendSW 347

Seq (sequence graphing mode) 16, 373

seq( (sequence) 170, 373 sequence graphing

axes format 107

CALC (calculate menu) 108 evaluating 109

free-moving cursor 107

graph format 107

graph styles 104

moving the cursor to a value 108 nonrecursive sequences 105

recursive sequences 105 selecting and deselecting 104

TI-84 Plus versus TI-82 table 114 tracing 108

web plots 109

window variables 106

Y= editor 103

ZOOM (zoom menu) 108

Sequential (graphing order mode) 17, 373 setDate( (set date) 373

setDtFmt( (set date format) 373 setTime( (set time) 373

setting

display contrast 4

graph styles 71

graph styles from a program 72 modes 15

modes from a program 15 split-screen modes 138

split-screen modes from a program 142 tables from a program 116

setTmFmt( (set time format) 373 SetUpEditor 194, 373

shade above graph style 71 shade below graph style 71 Shade( 128, 373

Shade_t( 249, 374

Shade chi square( 250, 374

ShadeF( 250, 374

ShadeNorm( 249, 374

shading graph areas 72, 128

Simul (simultaneous graphing order mode) 17, 374 sin( (sine) 36, 374

sin superscript -1( (arcsine) 36, 374

sine (sin( ) 36

sine (sin( ) 374

sinh( (hyperbolic sine) 273, 374

sinh superscript -1( (hyperbolic arcsine) 273, 374

SinReg (sinusoidal regression) 203, 374

Smart Graph 76

solve( 44, 374

Solver 42

solving for variables in the equation solver 43 SortA( (sort ascending) 168, 194, 374

SortD( (sort descending) 168, 194, 374 split-screen modes

G-T (graph-table) mode 140 Horiz (horizontal) mode 139 setting 138, 142

split-screen values 130, 133, 141

square (superscript ²) 36, 380

square root 36

square root 381 startTmr, start timer 374 STAT CALC

Stat Wizards 198 STAT CALC menu 198 STAT EDIT menu 193

stat list editor

attaching formulas to list names 188 clearing elements from lists 187 creating list names 186

detaching formulas from list names 190 displaying 184

edit-elements context 192

editing elements of formula-generated lists 190 editing list elements 187

entering list names 185 enter-names context 193

formula-generated list names 189 removing lists 186

restoring list names L1–L6 186 switching contexts 190

view-elements context 192

view-names context 193 STAT PLOTS menu 210

stat tests and confidence intervals

  1. PropZInt (one-proportion z confidence interval) 232 1-PropZTest (one-proportion z test) 227

  2. PropZInt (two-proportion z confidence interval) 232 2-PropZTest (two-proportion z test) 228

2-SampFTest (two-sample F-Test) 235

2-SampTInt (two-sample t confidence interval) 231 2-SampTTest (two-sample t test) 226

2-SampZInt (two-sample z confidence interval) 230 2-SampZTest (two-sample z test) 225

ANOVA( (one-way analysis of variance) 236 chi-square test 233, 234

chi-square test 233, 234

LinRegTTest (linear regression t test) 236 TInterval (one-sample t confidence interval) 229 T-Test (one-sample t test) 224

ZInterval (one-sample z confidence interval) 229 Z-Test (one-sample z test) 223

STAT TESTS menu 221 STAT WIZARDS 1, 198, 199

statistical distribution functions See distribution functions 36

statistical plotting 208

Boxplot (regular box plot) 209 defining 210

from a program 212 Histogram 209

ModBoxplot (modified box plot) 209 NormProbPlot (normal probability plot) 210 tracing 212

turning on/off stat plots 70, 212

viewing window 212

xyLine 208

statistical variables table 206 Stats input option 218, 219

stdDev( (standard deviation) 176, 375

Stop 287, 375

Store (right arrow) 20, 375

StoreGDB 135, 375

StorePic 134, 375 storing

graph databases (GDBs) 135 graph pictures 134

variable values 20

Stringâ–ºEqu( (string-to-equation conversions) 271, 375 strings

concatenation (+) 270, 381

converting 270

defined 267

displaying contents 269

entering 267

functions in CATALOG 269 indicator (â€) 267

length (length( ) 271 length (length( ) 364 storing 268

variables 268 student-t distribution

probability (tcdf( ) 244

probability (tcdf( ) 375 student-t distribution

probability density function (tpdf( ) 243 probability density function (tpdf( ) 376

sub( (substring) 272, 375

subroutines 287

subtraction (–) 36, 381

sum( (summation) 176, 375

system variables 383


T

superscript T (transpose matrix) 155, 379 TABLE SETUP screen 116

tables

description 118

variables 116, 117

tan( (tangent) 36, 375

tan superscript -1 ( (arctangent) 36, 375

tangent (tan( ) 36 tangent (tan( ) 375

tangent lines, drawing 126 Tangent( (draw line) 126, 375

tanh( (hyperbolic tangent) 273, 375

tanh superscript -1( (hyperbolic arctangent) 273, 375 TblStart (table start variable) 116

tcdf( (student-t distribution probability) 244, 375 TEST (relational menu) 62

TEST LOGIC (Boolean menu) 63 Text(

instruction 129, 142, 376

placing on a graph 129, 142

Then 282, 362

thick graph style 71 TI Connectâ„¢ 346 TI-84 Plus

key code diagram 292 keyboard 1

Time axes format 107, 376 time value of money (TVM)

C/Y variable (number of compounding periods per year) 263

calculating 255

formulas 387

FV variable (future value) 263

I% variable (annual interest rate) 263

N variable (number of payment periods) 263

P/Y variable (number of payment periods per year) 263 PMT variable (payment amount) 263

PV variable (present value) 263 TVM Solver 253

tvm_FV (future value) 257, 376 tvm_I% (interest rate) 376 tvm_I% (interest rate) 256

tvm_N (# payment periods) 256, 376

tvm_Pmt (payment amount) 256, 376

tvm_PV (present value) 256, 376

variables 262

timeCnv( ), convert time 376

TInterval (one-sample t confidence interval) 376 TInterval (one-sample t confidence interval) 229

tpdf( (student-t distribution probability density function) 243, 376

TRACE

cursor 79

entering numbers during 79, 96, 100, 108

expression display 76, 79

Trace instruction in a program 80, 376 transmitting

error conditions 352 from a TI-83 351

from a TI-83 Plus Silver Edition or TI-83 Plus 351 from a TI-84 Plus Silver Edition or TI-84 Plus 351 stopping 348

to a TI-84 Plus Silver Edition or TI-84 Plus 348 transpose matrix (superscript T) 155, 379

trigonometric functions 36

T-Test (one-sample t test) 224, 376

turn clock off, ClockOff 356 turn clock on, ClockOn 356 turning on and off

axes 75

calculator 3

coordinates 75

expressions 76

functions 70

grid 75

labels 76

points 131

stat plots 70, 212

tvm_FV (future value) 257, 376 tvm_I% (interest rate) 376 tvm_I% (interest rate) 256

tvm_N (# payment periods) 256, 376

tvm_Pmt (payment amount) 256, 376

tvm_PV (present value) 256, 376

two-proportion z confidence interval (2-PropZInt) 232, 369 two-proportion z test (2-PropZTest) 228, 369

two-sample F-Test formula 385

two-sample t test formula 386

two-variable statistics (2-Var Stats) 200, 377


U

u sequence function 103 Un/d 18, 50

UnArchive 21, 330, 377

ungrouping 336

user variables 383

uv/uvAxes (axes format) 107, 377

uw/uwAxes (axes format) 107, 377


V

v sequence function 103 value operation on a graph 87 variables

complex 19

displaying and storing values 21 equation solver 43

graph databases 19

graph pictures 19

independent/dependent 118

list 19, 162

matrix 19, 145

real 19

recalling values 21

solver editor 43

statistical 206

string 268

test and interval output 240 types 19

user and system 20, 383 VARS and Y-VARS menus 27

variance of a list (variance( ) 176 variance of a list (variance( ) 377 variance( (variance of a list) 176, 377 VARS menu

GDB 27

Picture 27

Statistics 27

String 27

Table 27

Window 27

Zoom 27

Vertical (draw line) 125, 377

viewing window 73

vw/uvAxes (axes format) 107, 377


W

w sequence function 103 Web (axes format) 107, 377

web plots 109

While 283, 377 window variables

function graphing 73

parametric graphing 95

polar graphing 99


X

x (root) 379

XFact zoom factor 86 x-intercept of a root 88

xor (Boolean) exclusive or operator 63, 377 xth root 40

xyLine plot type 208


Y

Y= editor

function graphing 68

parametric graphing 93

polar graphing 98

sequence graphing 103 YFact zoom factor 86

Y-VARS menu Function 28

On/Off 28

Parametric 28

Polar 28


Z

ZBox 81, 377

ZDecimal 82, 377

zero operation on a graph 88 ZInteger 83, 378

ZInterval (one-sample z confidence interval) 229, 378 zoom 80, 81, 82, 83, 85, 86

cursor 81

factors 86

function graphing 80

parametric graphing 96

polar graphing 101

sequence graphing 108

Zoom In (zoom in) 82, 378 ZOOM MEMORY menu 85

ZOOM menu 80

Zoom Out (zoom out) 82, 378 ZoomFit (zoom to fit function) 83, 378

ZoomRcl (recall stored window) 86, 378

ZoomStat (statistics zoom) 83, 378

ZoomSto (store zoom window) 85, 378 ZPrevious (use previous window) 379 ZSquare (set square pixels) 82, 379

ZStandard (use standard window) 83, 379

Z-Test (one-sample z test) 223, 379

ZTrig (trigonometric window) 83, 379

Table 1: Keys_TI-83Plus (Athena01 Key Symbols for TI-83, TI-83 Plus, TI-83 Plus SE)


32

right arrow

scat- ter plot


(shad ed cell: see note below

)

shade d

rect-

angle

solid rect- angle

blank rect- angle

histo- gram


(shad ed cell: see note below

)

space


(shad ed cell: see note below

)

xyLin e

Norm Prob- Plot

Mod- Box- Plot

Box- plot

[STA T PLO T]

[TBL SET]

[FOR MAT]

[CAL C]

47

48

[TAB LE]

greate r than

much greate r than

greate r than abso- lute value

[QUI T]

[INS]

[A- LOC K]

[LIN K]

[LIST

]

[TES T]

[AN GLE]

[DRA W]


(shad ed cell: see note below

)

[DIS TR]

[MAT RIX]


(shad ed cell: see note below

)

[SIN

super

-1]

63

64

[COS

super

-1]

[TAN

super

-1]

[pi]

[squa re root]

[EE]

[{]

[}]

[10

super x]

[ [ ]

[ ] ]

[e super x]

[RCL

]

[ME

M]

[OFF

]

[CAT ALO G]

[spac e key]

79

80

Prod- uct (capi- tal Pi)

[MAT RX]

Sigm a

[FIN ANC E]

[i]

page icon

[ANS

]

[ENT RY]

[SOL VE]

[F1]

[F2]

95

Table 1: Keys_TI-83Plus (Athena01 Key Symbols for TI-83, TI-83 Plus, TI-83 Plus SE)


96

[F3]

[F4]

[F5]

[L1]

[L2]

[L3]

[L4]

[L5]

[L6]

[ - ]

[(-)]

page icon with capi- tal P

[Y=]

111

112

[WIN DOW

]

[ZOO M]

[TRA CE]

[GRA PH]

[ALP HA]

[CLE AR]

[STO

right arrow

]

[2nd]

[MO

DE]

[DEL

]

[left key]

[up key]

[right key]

127

128

[ALP HA]

[X, T,

theta, n]

[STA T]

[dow n key]

[APP S]

[MAT H]

[MAT RX]

[PRG M]

143

144

[VAR S]

[CLE AR]

[x super

-1]

[SIN]

[COS

]

[TAN

]

[car- et]

[x super

-1]

159

160

[x super 2]

[,]

[ ( ]

[ ) ]

[divi- sion key]

¶

[LOG

]

[7]

[8]

[9]

[mul- tipli- cation key]

175

176

[TRI GGE R]

[ON/ HAL T]

[LN]

[4]

[5]

[6]

[ - ]

[STO

right arrow

]

191

192

[1]

[2]

[3]

[+]

p-hat

[ON]

[0]

[.]

[(-)]

[ENT ER]

207

208

histo- gram

xyLin e

Norm Prob- Plot

Mod- Box- Plot

Box- plot

i

re- verse A

L

N

F

F

(bold)

re- verse up arrow

down and to left arrow

223

224

E

"

*

E

(bold)

I%

line

thick

above

below

path

ani- mate

dot

[CON T]

239

Table 1: Keys_TI-83Plus (Athena01 Key Symbols for TI-83, TI-83 Plus, TI-83 Plus SE)


240

direc- tional keys icon

[Y- VAR S]

[n]

[U

sub n

- 1]

[V

sub n

- 1]

p-hat

mean of x

mean of y

mean of x

mean of y

255


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