Unique, enthusiastic approach, this text requires students to take
an active role in studying mathematics. Focusing more on the
mathematical process, students have abundant opportunities
to make intuitive leaps to discover patterns helping
them develop critical thinking skills as well as mathematical confidence.
Placing an emphasis on the usefulness of algebra throughout, students
discover mathematical concepts while en route to solving true-to-life
Most of the problems presented involve real data collected
from scientific experiments and the census and require the use
of a graphing calculator. The use of the graphing utility extends from exploring concepts
to verification of conjectures and pattern recognition.
Concepts are introduced graphically, numerically and symbolically.
Hands-on explorations get students to gain a solid understanding
of functions, composition of functions, inverse functions using functions
to model true-to-life situations and domain and range.
Emphasizes and encourages the process of discovery
to come to solutions, reinforcing the concept of active learning.
Text exercises ask students to discuss mathematics and summarize
their findings in writing to reinforce conceptual understanding.
Includes collaborative projects that foster teamwork among
Math is presented as a powerful tool reinforcing the idea
that an understanding of algebra can often put an individual in a
position of power to make better conjectures and predictions.
1. Using Qualitative Graphs to Describe Situations.
Using Qualitative Graphs to Describe Situations.
2. Modeling with Linear Functions.
Making Predictions: From Tables to Graphs by Hand. Making
Predictions: A Graphing Calculator Approach. Going from Equations
to Graphs. Computing and Interpreting the Slope of a Line. Finding
an Equation. Making Predictions: A Symbolic Approach. Combining
Functions to Form New Ones. Finding Inverse Functions. Making
More Predictions. Taking It to the Lab.
3. Modeling with Linear Systems.
Making Predictions: From Tables to Graphs. Making Predictions:
Symbolic Approaches. Making Predictions: From Systems to Inequalities.
Taking It to the Lab.
4. Modeling with Quadratic Functions.
Making Predictions: From Tables to Graphs. Going from Equations
in Vertex Form to Graphs. Going from Equations in Standard Form to
Graphs. Finding an Equation. Making Predictions: A
Symbolic Approach. Combining Functions to Form New Ones. Taking
It to the Lab.
5. Modeling with Exponential Functions.
Making Predictions: From Tables to Formulas. Using Exponential
Properties. Going From Equations to Graphs. Finding an Equation. Making Predictions: A Symbolic Approach.
Combining Functions and Finding Inverse Functions. Making Predictions:
Using Properties of Logarithms. Graphing Logarithmic Functions. Taking
It to the Lab.
6. Modeling with Sequences and Series.
Making Predictions Using Arithmetic Sequences. Making Predictions
Using Geometric Sequences. Making Predictions Using Arithmetic Series.
Making Predictions Using Geometric Series. Taking It to the Lab.
7. Modeling with Rational Functions.
Making Predictions: Using Power Functions. Multiplying and Dividing Rational Functions. Adding and Subtracting Rational Functions. Making Predictions: Using Rational Functions. Taking It to the Lab.
8. Modeling with Radical Functions.
Making Predictions: From Tables to Graphs. Going From Equations
to Graphs. Making Predictions: A Symbolic Approach. Simplifying Functions
and Solving Equations. Taking It to the Lab.
Appendix A. Using a TI-82 or TI-83 Graphing Calculator.
Turning Your Graphing Calculator On and Off. Making Your Screen Lighter or Darker. Entering a Function. Graphing a Function. Tracing a Function without a Scattergram. Zooming. Setting the Window Format. Plotting Points for a Scattergram. Tracing a Scattergram without a Function. Graphing Functions with a Scattergram. Tracing a Function with a Scattergram. Turning a Plotter On or Off. Creating a Table. Creating a Table for Two Functions. Using Ask in a Table. Finding the Regression Curve for Some Data. Plotting Points for Two Scattergrams. Finding the Intersection Point(s) of Two Curves. Finding the Minimum or Maximum of a Curve. Graphing Sequences. Turning a Function On or Off. Using the Value Choice. Finding Coordinates of Points. Graphing Functions with Axes Turned Off. Entering a Function using Yn references. Responding to Error Messages.
Appendix B. Comparing TI-82/83/85/86 Calculator Commands.
Appendix C. Answers to Selected Homework Exercises.