TI-84 Plus And TI-84 Plus Silver Edition Guidebook - University Of Memphis

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TI-84 Plus andTI-84 Plus Silver EditionGuidebookNote: 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 differentand some features may not be available. You can download the latest OSeducation.ti.com/guides.

Important InformationTexas Instruments makes no warranty, either express or implied, including but not limited toany implied warranties of merchantability and fitness for a particular purpose, regarding anyprograms or book materials and makes such materials available solely on an "as-is" basis. Inno event shall Texas Instruments be liable to anyone for special, collateral, incidental, orconsequential damages in connection with or arising out of the purchase or use of thesematerials, and the sole and exclusive liability of Texas Instruments, regardless of the form ofaction, shall not exceed the purchase price of this product. Moreover, Texas Instruments shallnot be liable for any claim of any kind whatsoever against the use of these materials by anyother party. 2004–2010 Texas Instruments IncorporatedVernier EasyData, Vernier LabPro, and Vernier Go! Motion are a trademarks of VernierSoftware & Technology.ii

ContentsImportant Information . iiChapter 1:Operating the TI-84 Plus Silver Edition . 1Documentation Conventions . 1TI-84 Plus Keyboard . 1Turning On and Turning Off the TI-84 Plus . 3Setting the Display Contrast . 4The Display . 5Interchangeable Faceplates . 8Using the Clock . 9Entering Expressions and Instructions . 11Setting Modes . 14Using TI-84 Plus Variable Names . 19Storing Variable Values . 20Recalling Variable Values . 21Scrolling Through Previous Entries on the Home Screen . 22ENTRY (Last Entry) Storage Area . 22TI-84 Plus Menus . 25VARS and VARS Y-VARS Menus . 27Equation Operating System (EOS ) . 29Special Features of the TI-84 Plus . 30Other TI-84 Plus Features . 31Error Conditions . 33Chapter 2:Math, Angle, and Test Operations . 35Getting Started: Coin Flip . 35Keyboard Math Operations . 36MATH Operations . 38Using the Equation Solver . 42MATH NUM (Number) Operations . 45Entering and Using Complex Numbers . 50MATH CPX (Complex) Operations . 54MATH PRB (Probability) Operations . 56ANGLE Operations . 59TEST (Relational) Operations . 62TEST LOGIC (Boolean) Operations . 63Chapter 3:Function Graphing . 65Getting Started: Graphing a Circle . 65Defining Graphs . 66Setting the Graph Modes . 67Defining Functions . 68Selecting and Deselecting Functions . 69Setting Graph Styles for Functions . 71Setting the Viewing Window Variables . 73Setting the Graph Format . 74Displaying Graphs . 76Exploring Graphs with the Free-Moving Cursor . 78Exploring Graphs with TRACE . 78Exploring Graphs with the ZOOM Instructions . 80Using ZOOM MEMORY . 85Using the CALC (Calculate) Operations . 87iii

Chapter 4:Parametric Graphing . 91Getting Started: Path of a Ball . 91Defining and Displaying Parametric Graphs . 93Exploring Parametric Graphs . 95Chapter 5:Polar Graphing . 97Getting Started: Polar Rose . 97Defining and Displaying Polar Graphs . 98Exploring Polar Graphs . 100Chapter 6:Sequence Graphing . 102Getting Started: Forest and Trees . 102Defining and Displaying Sequence Graphs . 103Selecting Axes Combinations . 107Exploring Sequence Graphs . 107Graphing Web Plots . 109Using Web Plots to Illustrate Convergence . 110Graphing Phase Plots . 111Comparing TI-84 Plus and TI-82 Sequence Variables . 113Keystroke Differences Between TI-84 Plusand TI-82 . 114Chapter 7:Tables . 115Getting Started: Roots of a Function . 115Setting Up the Table . 116Defining the Dependent Variables . 117Displaying the Table . 118Chapter 8:Draw Instructions . 121Getting Started: Drawing a Tangent Line . 121Using the DRAW Menu . 122Clearing Drawings . 123Drawing Line Segments . 124Drawing Horizontal and Vertical Lines . 125Drawing Tangent Lines . 126Drawing Functions and Inverses . 127Shading Areas on a Graph . 128Drawing Circles . 128Placing Text on a Graph . 129Using Pen to Draw on a Graph . 130Drawing Points on a Graph . 131Drawing Pixels . 132Storing Graph Pictures (Pic) . 134Recalling Graph Pictures (Pic) . 135Storing Graph Databases (GDB) . 135Recalling Graph Databases (GDB) . 136Chapter 9:Split Screen . 137Getting Started: Exploring the Unit Circle . 137Using Split Screen . 138iv

Horiz (Horizontal) Split Screen . 139G-T (Graph-Table) Split Screen . 140TI-84 Plus Pixels in Horiz and G-T Modes . 141Chapter 10:Matrices . 143Getting Started: Using the MTRX Shortcut Menu . 143Getting Started: Systems of Linear Equations . 144Defining a Matrix . 145Viewing and Editing Matrix Elements . 146Using Matrices with Expressions . 148Displaying and Copying Matrices . 149Using Math Functions with Matrices . 151Using the MATRX MATH Operations . 154Chapter 11:Lists . 161Getting Started: Generating a Sequence . 161Naming Lists . 162Storing and Displaying Lists . 163Entering List Names . 164Attaching Formulas to List Names . 165Using Lists in Expressions . 167LIST OPS Menu . 168LIST MATH Menu . 175Chapter 12:Statistics . 178Getting Started: Pendulum Lengths and Periods . 178Setting Up Statistical Analyses . 184Using the Stat List Editor . 185Attaching Formulas to List Names . 188Detaching Formulas from List Names . 190Switching Stat List Editor Contexts . 190Stat List Editor Contexts . 192STAT EDIT Menu . 193Regression Model Features . 195STAT CALC Menu . 198Statistical Variables . 206Statistical Analysis in a Program . 207Statistical Plotting . 208Statistical Plotting in a Program . 212Chapter 13:Inferential Statistics and Distributions . 215Getting Started: Mean Height of a Population . 215Inferential Stat Editors . 218STAT TESTS Menu . 221Inferential Statistics Input Descriptions . 239Test and Interval Output Variables . 240Distribution Functions . 241Distribution Shading . 248Chapter 14:Applications . 251The Applications Menu . 251v

Getting Started: Financing a Car . 252Getting Started: Computing Compound Interest . 253Using the TVM Solver . 253Using the Financial Functions . 254Calculating Time Value of Money (TVM) . 255Calculating Cash Flows . 257Calculating Amortization . 258Calculating Interest Conversion . 261Finding Days between Dates/Defining Payment Method . 261Using the TVM Variables . 262The EasyData Application . 263Chapter 15:CATALOG, Strings, Hyperbolic Functions . 266Browsing the TI-84 Plus CATALOG . 266Entering and Using Strings . 267Storing Strings to String Variables . 268String Functions and Instructions in the CATALOG . 269Hyperbolic Functions in the CATALOG . 273Chapter 16:Programming . 275Getting Started: Volume of a Cylinder . 275Creating and Deleting Programs . 276Entering Command Lines and Executing Programs . 278Editing Programs . 279Copying and Renaming Programs . 280PRGM CTL (Control) Instructions . 281PRGM I/O (Input/Output) Instructions . 288Calling Other Programs as Subroutines . 293Running an Assembly Language Program . 294Chapter 17:Activities . 296The Quadratic Formula . 296Box with Lid . 299Comparing Test Results Using Box Plots . 306Graphing Piecewise Functions . 308Graphing Inequalities . 309Solving a System of Nonlinear Equations . 310Using a Program to Create the Sierpinski Triangle . 311Graphing Cobweb Attractors . 312Using a Program to Guess the Coefficients . 313Graphing the Unit Circle and Trigonometric Curves . 315Finding the Area between Curves . 316Using Parametric Equations: Ferris Wheel Problem . 317Demonstrating the Fundamental Theorem of Calculus . 319Computing Areas of Regular N-Sided Polygons . 321Computing and Graphing Mortgage Payments . 323Chapter 18:Memory and Variable Management . 326Checking Available Memory . 326Deleting Items from Memory . 329Clearing Entries and List Elements . 329Archiving and UnArchiving Variables . 330vi

Resetting the TI-84 Plus . 333Grouping and Ungrouping Variables . 336Garbage Collection . 339ERR:ARCHIVE FULL Message . 343Chapter 19:Communication Link . 344Getting Started: Sending Variables . 344TI-84 Plus LINK . 345Selecting Items to Send . 347Receiving Items . 350Backing Up RAM Memory . 351Error Conditions . 352Appendix A:Functions and Instructions . 354Appendix B:Reference Information . 383Variables . 383Statistics Formulas . 384Financial Formulas . 387Important Things You Need to Know About Your TI-84 Plus . 391Error Conditions . 394Accuracy Information . 398Appendix C:Service and Warranty Information . 400Texas Instruments Support and Service . 400Battery Information . 400In Case of Difficulty . 402vii

Chapter 1:Operating the TI-84 Plus Silver EditionDocumentation ConventionsIn the body of this guidebook, TI-84 Plus refers to the TI-84 Plus Silver Edition, but all of theinstructions, examples, and functions in this guidebook also work for the TI-84 Plus. The twographing calculators differ only in available RAM memory, interchangeable faceplates, and Flashapplication ROM memory. Sometimes, as in Chapter 19, the full name TI-84 Plus Silver Edition isused to distinguish it from the TI-84 Plus.Screen shots were taken using OS version 2.53MP and higher in either MathPrint or Classicmode. All features are available in both modes; however, screens make look slightly d

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