TI-84 Plus and TI-84 Plus Silver Edition Guidebook

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.guides.

Important Information

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not be liable for any claim of any kind whatsoever against the use of these materials by any

other party.

? 2004¨C2010 Texas Instruments Incorporated

Vernier EasyData, Vernier LabPro, and Vernier Go! Motion are a trademarks of Vernier

Software & Technology.

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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 (EOS?) ............................................................................................. 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

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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

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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

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