Using the TI-83 Plus/TI-84 Plus

Front cover......Page 1
brief contents......Page 4
contents......Page 6
preface......Page 12
acknowledgments......Page 14
about this book......Page 16
Roadmap......Page 17
How to use this book......Page 19
Typographic conventions and style......Page 20
Online resources......Page 21
About the cover illustration......Page 22
Part 1—Basics and algebra on the TI-83 Plus/TI-84 Plus......Page 24
1 What can your calculator do?......Page 26
1.1 Five examples of what your calculator can do......Page 27
1.1.1 Calculating the volume of a cube......Page 28
1.1.2 Solving the Quadratic Formula......Page 30
1.1.3 Graphing sine and cosine......Page 33
1.1.4 Calculating the area under a curve......Page 35
1.1.5 Fitting a line to data......Page 37
1.2.1 Your calculator, a multipurpose tool......Page 40
1.2.2 What you’ll need......Page 42
1.3 MathPrint vs. non-MathPrint calculators......Page 43
1.4 Summary......Page 46
2 Get started with your calculator......Page 48
2.1 Before you begin......Page 49
2.2 Performing basic calculations......Page 52
2.2.2 Dividing sums: demonstrating the importance of parentheses......Page 53
2.2.3 Using exponents......Page 55
2.2.4 Roots of numbers......Page 56
2.2.5 Continuing a calculation: Ans......Page 57
2.3.1 More on 2nd and ALPHA......Page 59
2.3.2 Editing an equation......Page 60
2.3.3 Repeating a calculation......Page 61
2.3.4 MathPrint focus: entering and displaying fractions......Page 62
2.4 Finding functions......Page 64
2.4.1 Examples of homescreen math functions......Page 65
2.4.2 A guide to finding functions......Page 68
2.5 Setting modes......Page 70
2.6.1 Using the Equation Solver tool......Page 74
2.6.2 Boolean algebra with the Test/Logic menu......Page 77
2.7 Summary......Page 79
3 Basic graphing......Page 80
3.1 Getting started with graphing......Page 81
3.2.1 A ball is thrown: maximum and minimum of a function......Page 84
3.2.2 Two trains: intersection of two functions......Page 90
3.3.1 Viewing different parts of the graph......Page 94
3.3.2 Modifying graph format settings......Page 97
3.3.3 Graph styles, shading, and inequalities......Page 100
3.4 Using the Table......Page 101
3.4.1 Examining graph values......Page 102
3.4.2 G-T and Horiz split screen......Page 103
3.5 Summary......Page 104
4 Variables, matrices, and lists......Page 106
4.1 What are variables? Why do I need them?......Page 107
4.1.1 Plugging x into a polynomial......Page 109
4.1.2 Finding the volume of a box......Page 110
4.1.3 Testing the Pythagorean Theorem......Page 112
4.2 Using sequences of numbers: lists......Page 114
4.2.1 Typing lists......Page 115
4.2.2 Storing lists into list variables......Page 116
4.2.3 Isolating a single list element......Page 117
4.3.1 List-wise algebra operations......Page 118
4.3.2 List-wise math functions......Page 120
4.3.3 Element-wise list operations......Page 122
4.4 Exploring 2D matrices......Page 124
4.4.2 Creating and using matrix variables......Page 125
4.4.3 Typing matrices in the matrix editor......Page 126
4.5.1 Matrix-wise algebraic operations......Page 127
4.5.2 Single-matrix operations......Page 129
4.6 Summary......Page 132
Part 2—Precalculus and calculus......Page 134
5 Expanding your graphing skills......Page 136
5.1 Parametric mode......Page 137
5.1.1 Parametric example: graphing a circle......Page 139
5.1.2 Parametric example: throwing a baseball......Page 141
5.1.3 Parametric example: a Lissajous curve......Page 143
5.2 Graphing polar functions......Page 144
5.2.1 Polar example: a spiral......Page 146
5.2.2 Polar example: polar rose......Page 147
5.3 Graphing sequences......Page 148
5.3.1 Sequence example: a sequence of squares......Page 149
5.3.2 Sequence example: the Fibonacci series......Page 150
5.4 Drawing on graphs......Page 153
5.4.1 Graphscreen drawing tools......Page 154
5.4.2 Using drawing tools on the homescreen......Page 156
5.4.3 Drawing graphlike functions: DrawInv, DrawF, and Shade......Page 159
5.5 Saving graph settings and pictures......Page 160
5.5.1 Saving and recalling picture variables......Page 161
5.5.2 Saving and recalling graph databases......Page 162
5.6 Summary......Page 163
6 Precalculus and your calculator......Page 164
6.1.1 Complex number functions and symbols......Page 165
6.1.2 Complex roots with the Quadratic Formula......Page 167
6.2 Experimenting with trigonometry......Page 168
6.2.1 Trig functions......Page 169
6.2.2 Trigonometry and the unit circle......Page 172
6.3 Understanding limits......Page 174
6.4 Exponents and logarithms......Page 177
6.5 Summary......Page 179
7 Calculus on the TI-83 Plus/TI-84 Plus......Page 181
7.1 Derivatives and slope......Page 182
7.1.1 Calculating derivatives on the graphscreen......Page 183
7.1.2 Calculating derivatives on the homescreen......Page 184
7.2 Finding minima, maxima, and inflection points......Page 185
7.3 Integrals and area under a curve......Page 188
7.3.1 Computing integrals on the graphscreen......Page 189
7.3.2 Computing integrals on the homescreen......Page 191
7.4 Summary......Page 193
Part 3—Statistics, probability, and finance......Page 194
8 Calculating and plotting statistics......Page 196
8.1 Working with data lists......Page 197
8.2 Calculating properties of data......Page 201
8.2.1 Summarizing data......Page 202
8.2.2 1-Var Stats and 2-Var Stats......Page 203
8.3 Statistical plots......Page 207
8.3.1 Using Scatter and XYLine......Page 208
8.3.2 Plotting a histogram......Page 211
8.3.3 Understanding Box plots......Page 212
8.3.4 Normal probability plots......Page 215
8.4 Regression: fitting lines to data......Page 216
8.4.1 Linear regression......Page 217
8.4.2 Exponential regression......Page 220
8.4.3 More regression: the many options......Page 222
8.5 Summary......Page 223
9 Working with probability and distributions......Page 225
9.1 Calculating PDFs and CDFs......Page 226
9.1.1 Probability distribution functions......Page 227
9.1.2 Cumulative distribution functions......Page 231
9.1.3 Inverse CDFs......Page 235
9.2 Drawing distributions......Page 236
9.3 Combinatorics......Page 239
9.4 Generating random numbers......Page 242
9.5 Summary......Page 245
10 Financial tools......Page 246
10.1 Financial variables and tools......Page 247
10.2 Solving finance problems......Page 248
10.2.1 Investments and interest......Page 249
10.2.2 Mortgages and loans......Page 251
10.2.3 Other finance tools......Page 254
10.3 Summary......Page 256
Part 4—Going further with the TI-83 Plus/TI-84 Plus......Page 258
11 Turbocharging math with programming......Page 260
11.1 Hello World, your first program......Page 261
11.1.2 Creating and writing a program......Page 262
11.1.3 Testing the Hello World program......Page 264
11.2 Writing a Quadratic Formula solver......Page 265
11.2.1 Coding and testing the Quadratic Formula solver......Page 266
11.2.2 Understanding the Quadratic Formula solver......Page 267
11.3 A crash course in programming commands......Page 269
11.3.1 Input and output......Page 270
11.3.2 Conditional statements......Page 272
11.3.3 Menus, labels, and jumps......Page 275
11.3.4 Loops......Page 277
11.4 Putting it all together: programming, SATs, math, and more......Page 280
11.5 Summary: taking programming further......Page 282
12 The TI-84 Plus C Silver Edition......Page 283
12.1 Arithmetic and algebra......Page 285
12.1.1 The homescreen and the Mode menu......Page 286
12.1.2 MathPrint features......Page 287
12.1.3 OS-wide Catalog Help......Page 288
12.1.4 The Equation Solver......Page 289
12.2 Graphing features......Page 290
12.2.1 Your first graph in color......Page 291
12.2.2 TI-84 Plus C Silver Edition graphing features......Page 293
12.3 Drawing in color......Page 297
12.4 Statistics features......Page 299
12.4.1 Using QuickPlot & Fit-EQ......Page 300
12.4.2 Using manual Stat Plots......Page 302
12.5 Summary......Page 303
13 Now what?......Page 305
13.1.1 Transferring files to and from computers......Page 306
13.1.2 Transferring files between calculators......Page 309
13.2 Finding and using Apps and programs......Page 310
13.3 Writing and publishing your own programs......Page 312
13.3.1 Programming tools......Page 313
13.3.2 Forums and archives......Page 314
13.4 Sensors, robots, and hardware......Page 315
13.5 Final thoughts......Page 317
appendix A—The SATs and your calculator......Page 319
A.1.1 Math problem categories......Page 320
A.2 Multiple-choice questions......Page 321
A.3 Student-produced response questions......Page 325
B.1 Arithmetic and basic calculator skills......Page 330
B.1.1 Other important keys......Page 331
B.1.4 Functions......Page 332
B.1.5 The Memory menu......Page 334
B.1.7 Variables......Page 335
B.2.2 Parametric graphing......Page 337
B.2.4 Sequence graphing......Page 338
B.2.7 Using the Table tool......Page 339
B.2.8 Drawing......Page 340
B.3.1 Complex and imaginary numbers......Page 341
B.3.3 Finding limits with graphs and the Table tool......Page 342
B.4.1 Calculus......Page 343
B.4.2 Statistics and probability......Page 344
B.5 Programming......Page 345
C.1 Troubleshooting big problems......Page 349
C.1.1 My calculator won’t turn on......Page 350
C.1.3 My settings are messed up......Page 351
C.1.4 My math is coming out wrong......Page 352
C.2.1 Common error messages......Page 353
C.2.2 Other error messages......Page 355
B......Page 359
D......Page 360
F......Page 361
G......Page 362
L......Page 363
N......Page 364
P......Page 365
R......Page 366
S......Page 367
T......Page 368
Z......Page 369
Back cover......Page 370