Textbook
Workshop Precalculus: Discovery with Graphing Calculators, Preliminary EditionJune 2008, ©2002

By systematizing and supporting a simple interactive teaching format, Workshop Precalculus helps instructors implement sound methods that alternate between three primary components: Summary Discussions, Introductory Remarks, and Collaborative Activities. While students benefit greatly from performing computations and symbolic manipulations and sketching graphs by hand, the text integrates the use of the graphing calculator so that students learn to regard technology as a valuable tool.
Preface: to the Instructor ix
Preface: To the Student xv
Activity P1: Using the Concept of Function to Buy Pizza xvi
Activity P2: Getting Started with Your Graphing Calculator xviii
Unit 1: Properties of Functions 1
Section 1: Analyzing Linear Functions 1
Activity 11: Creating Linear Functions 3
Activity 12: Investigating PiecewiseLinear Functions 9
Activity 13: Interpreting Graphs 14
Section 2: Analyzing Smooth Curves 26
Activity 14: Developing an Intuitive Understanding of a Tangent Line to a Curve 27
Activity 15: Investigating the Behavior of the Tangent Line near a Turning Point 36
Activity 16: Contemplating Concavity 40
Activity 17: Interpreting Sign Charts 47
Section 3: Representing Functions 60
Activity 18: Evaluating Expressions and Using Variables 61
Activity 19: Representing Functions Symbolically 64
Activity 110: Representing Functions Graphically 72
Activity 111: Representing Functions Numerically 76
Activity 112: Constructing Discrete Functions 80
Unit 2: Polynomial and Rational Functions 97
Section 1: Power Functions 98
Activity 21: Examining Positive Integer Power Functions 99
Activity 22: Inspecting Negative Integer Power Functions 104
Activity 23: Scrutinizing Root Functions 110
Section 2: Polynomial Functions 127
Activity 24: Probing Polynomials 128
Activity 25 Finding the Vertex of a Parabola 138
Activity 26 Drawing and Interpreting the Sign Chart for a HigherOrder Polynomial 143
Activity 27: Examining the Multiplicity of a Zero of a Polynomial 148
Activity 28: Approximating the Turning Points and Investigating the LongRun Behavior of a Polynomial 154
Section 3: Rational Functions 169
Activity 29: Locating Holes in Graphs of Rational Functions 170
Activity 210: Investigating the Behavior of a Rational Function near a Vertical Asymptote 174
Activity 211: Locating the Intercepts of Rational Functions 178
Activity 212: Analyzing the LongRun Behavior of Rational Functions 182
Activity 213: Sketching the Graph of a rational Function 192
Unit 3: New Functions from Old 201
Section 1: Combining Functions 202
Activity 31: Evaluating Combinations of Functions 203
Activity 32: Combining Functions 208
Activity 33: Composing Functions 217
Section 2: Reflecting Functions 226
Activity 34: Sketching Reflections 227
Activity 35: Representing Reflections Symbolically 232
Activity 36: Investigating Inverse Functions 242
Section 3: Shifting, Stretching, and Compressing Graphs of Functions 259
Activity 37: Vertically Shifting a Graph 261
Activity 38: Horizontally Shifting a Graph 266
Activity 39: Vertically Stretching or Compressing a Graph 274
Activity 310: Horizontally Stretching or Compressing a Graph 280
Activity 311: Combining Transformations 288
Unit 4: More Function Classes 301
Section 1: Exponential and Logarithmic Exponential Functions 302
Activity 41: Modeling Situations Using Exponential Functions 303
Activity 42: Comparing Exponential Functions 309
Activity 43: Investigating the Relationship between Exponential and Logarithmic Functions 318
Activity 44: Evaluating and Graphing Logarithmic Functions 323
Activity 45: Examining the Number e and the Natural Exponential and Logarithmic Functions 329
Activity 46 Solving Exponential and Logarithmic Equations 334
Section 2: Trigonometric Functions 348
Activity 47: Measuring Angles 352
Activity 48: Finding Trigonometric Functions of Acute Angles 358
Activity 49: Evaluating Trigonometric Functions 366
Activity 410: Graphing Trigonometric Functions 380
Section 3: Analytic Trigonometry 405
Activity 411: Defining Inverse Trigonometric Functions 406
Activity 412: Solving Trigonometric Equations 416
Activity 413: Verifying Multiple Angle Formulas 428
Activity 414: Utilizing the Law of Cosines 433
Activity 415: Utilizing the Law of Sines 439
Section 4: Fitting Curves to Discrete Functions 455
Activity 416: Modeling Data 456
Appendix: Using the TI83 Graphing Calculator in Workshop Precalculus 465
Index 509

Fully integrated graphing calculator technology

The workshop approach:

Encourages students' guessing and estimation skills and promotes the development of intuitive skill

Stresses good reading and writing by asking students to explain what they observe

Allows students to discover the fun in math while learning new concepts and skills

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