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 Student.
Activity P1. Using the Concept of Function to Buy Pizza.
Activity P2. Getting Started with Your Graphing Calculator.
UNIT 1. PROPERTIES OF FUNCTIONS.
Section 1. Analyzing Linear Functions.
Activity 11. Creating Linear Functions.
Activity 12. Investigating PiecewiseLinear Functions.
Activity 13. Interpreting Graphs.
Section 2. Analyzing Smooth Curves.
Activity 14. Developing an Intuitive Understanding of a Tangent Line to a Curve.
Activity 15. Investigating the Behavior of the Tangent Line Near a Turning Point.
Activity 17. Contemplating Concavity.
Activity 17. Interpreting Sign Charts.
Section 3. Representing Functions.
Activity 18. Evaluating Expressions and Using Variables.
Activity 19. Representing Functions Symbolically.
Activity 110. Representing Functions Graphically.
Activity 111. Representing Functions Numerically.
Activity 112. Constructing Discrete Functions.
UNIT 2. POLYNOMIAL AND RATIONAL FUNCTIONS.
Section 1. Power Functions.
Activity 21. Examining Positive Integer Power Functions.
Activity 22. Inspecting Negative Integer Power Functions.
Activity 23. Scrutinizing Root Functions.
Section 2. Polynomial Functions.
Activity 24. Probing Polynomials.
Activity 25. Finding the Vertex of a Parabola.
Activity 26. Drawing and Interpreting the Sign Chart for a HigherOrder Polynomial.
Activity 27. Examining the Multiplicity of a Zero of Polynomial.
Activity 28. Approximating the Turning Points and Investigating the LongRun Behavior of a Polynomial.
Section 3. Rational Functions.
Activity 29. Locating Holes in Graphs of Rational Functions.
Activity 210. Investigating the Behavior of a Rational Function Near a Vertical Asymptote.
Activity 211. Locating the Intercepts of Rational Functions.
Activity 212. Analyzing the LongRun Behavior of Rational Functions.
Activity 213. Sketching the Graph of a Rational Function.
UNIT 3. NEW FUNCTIONS FROM OLD.
Section 1. Combining Functions.
Activity 31. Evaluating Combinations of Functions.
Activity 32. Combining Functions.
Activity 33. Composing Functions.
Section 2. Reflecting Functions.
Activity 34. Sketching Reflections.
Activity 35. Representing Reflections Symbolically.
Activity 36. Investigating Inverse Functions.
Section 3. Shifting, Stretching, and Compressing Graphs of Functions.
Activity 37. Vertically Shifting a Graph.
Activity 38. Horizontally Shifting a Graph.
Activity 39. Vertically Stretching or Compressing a Graph.
Activity 310. Horizontally Stretching or Compressing a Graph.
Activity 311. Combing Transformations.
UNIT 4. MORE FUNCTION CLASSES.
Section 1. Exponential and Logarithmic Functions.
Activity 41. Modeling Situations Using Exponential Functions.
Activity 42. Comparing Exponential Functions.
Activity 43. Investigating the Relationship Between Exponential and Logarithmic Functions.
Activity 44. Evaluating and Graphing Logarithmic Functions.
Activity 45. Examining the Number e and the Natural Exponential and Logarithmic Functions.
Activity 45. Solving Exponential and Logarithmic Equations.
Section 2. Trigonometric Functions.
Activity 47. Measuring Angles.
Activity 48. Finding Trigonometric Functions of Acute Angles.
Activity 49. Evaluating Trigonometric Functions.
Activity 410. Graphing Trigonometric Functions.
Section 3. Analytic Trigonometry.
Activity 411. Defining Inverse Trigonometric Functions.
Activity 412. Solving Trigonometric Equations.
Activity 413. Verifying Multiple Angle Formulas.
Activity 414. Utilizing the Law of Cosines.
Activity 415. Utilizing the Law of Sines.
Section 4. Fitting Curves to Discrete Functions.
Activity 416. Modeling Data.
Appendix. Using the TI83 Graphing Calculator in Workshop Precalculus.
Index.

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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