Algebra and Trigonometry: Real Mathematics, Real People

Side-By-Side Examples. Throughout the text, we present solutions to many examples from multiple perspectives-algebraically, graphically, and numerically. The side-by-side format of this pedagogical feature helps students to see a problem can be solved in more than one way and to see different methods yield the same result. The side-by-side format also addresses many different learning styles.

Why You Should Learn It Exercise. An engaging, real-life application of the concepts in the section, this application exercise is typically described in the section opener as a motivator for the section.

Library of Parent Functions. Several elementary and non-elementary functions have been compiled as a Library of Parent Functions to facilitate familiarity with the basic functions. Each function is introduced at the first point of use in the text with a definition and description of basic characteristics. The Library of Parent Functions examples are identified in the title of the example and there is a Review of Library of Parent Functions after Chapter 4. A summary of functions is presented on the inside cover of this text.

Make a Decision. The Make a Decision exercises at the end of selected sections involve in-depth applied exercises in which students work with large, real-life data sets, often creating or analyzing models. These exercises are offered online at LarsonPrecalculus.com.

Side-By-Side Examples. Throughout the text, we present solutions to many examples from multiple perspectives-algebraically, graphically, and numerically. The side-by-side format of this pedagogical feature helps students to see a problem can be solved in more than one way and to see different methods yield the same result. The side-by-side format also addresses many different learning styles.

Why You Should Learn It Exercise. An engaging, real-life application of the concepts in the section, this application exercise is typically described in the section opener as a motivator for the section.

Make a Decision. The Make a Decision exercises at the end of selected sections involve in-depth applied exercises in which students work with large, real-life data sets, often creating or analyzing models. These exercises are offered online at LarsonPrecalculus.com.

Explore the Concept. Each Explore the Concept engages students in active discovery of mathematical concepts, strengthens critical thinking skills, and helps build intuition.

What's Wrong. Each What's Wrong points out common errors made using graphing utilities.

Technology Tip. Technology Tips provide graphing calculator tips or provide alternate methods of solving a problem using a graphing utility.

Algebra of Calculus. Throughout the text, special emphasis is given to the algebraic techniques used in calculus. Algebra of calculus examples and exercises are integrated throughout the text.

Algebraic-Graphical-Numerical Exercises. These exercises allow students to solve a problem using multiple approaches—algebraic, graphical, and numerical. This helps students to see that a problem can be solved in more than one way and to see that different methods yield the same result.

Modeling Data Exercises. These multi-part applications that involve real-life data offer students the opportunity to generate and analyze mathematical models.

Vocabulary and Concept Check. The Vocabulary and Concept Check appears at the beginning of the exercise set for each section. Each of these checks asks fill-in-the-blank, matching, and non-computational questions designed to help students learn mathematical terminology and to test basic understanding of that section's concepts.

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New Chapter Opener. Each Chapter Opener highlights real-life applications used in the examples and exercises.

New How Do You See It? The How Do You See It? feature in each section presents a real-life exercise students solve by visual inspection using the concepts learned in the lesson. This exercise is excellent for classroom discussion or test preparation.

New Checkpoints. Accompanying every example, the Checkpoint problems encourage immediate practice and check students' understanding of the concepts presented in the example. Students can view and listen to worked-out solutions of the Checkpoint problems in English or Spanish at LarsonPrecalculus.com.

New Data Spreadsheet. Downloadable, editable spreadsheets from LarsonPrecalculus.com that help students use the data to solve exercises.

New LarsonPrecalculus.com. This free companion website offers multiple tools and resources to supplement your students' learning. Students can view and listen to worked-out solutions of Checkpoint problems in English or Spanish, download data sets, explore examples, watch lesson videos, and much more.