Intermediate Algebra With Infotrac: A Just-In-Time Approach

by Kaseberg, Alice

• ISBN13: 9780534386320
• ISBN10: 0534386326
• Edition: 3rd
• Format: Paperback
• Copyright: 2003-10-03
• Publisher: Brooks Cole

Summary

Kaseberg presents an effective, nontraditional approach to the traditional algebra curriculum. The first and second editions gained a strong following among instructors who found that Kaseberg's use of guided discovery and problem solving facilitates the learning of new concepts and strengthens skill retention. Kaseberg's informal, interactive style makes algebra more accessible to students while maintaining a high level of mathematical accuracy. To reduce preparation time for course leaders and facilitate use by adjuncts, the Instructor's Resource Manual is a valuable resource. The manual provides structured lesson and group-activity suggestions for each section in the textbook, incorporates materials from the textbook with supplemental projects and activities, suggests core homework assignments, and furnishes guided-discussion questions. This resource serves to bridge the gap between traditional pedagogy and a reform approach.

Table of Contents

Preface

To the Student

1. PROBLEM SOLVING, EXPRESSIONS, AND EQUATIONS

Problem Solving and Number Sense

Input-Output Tables and Algebraic Techniques

Problem Solving and Writing Algebraic Notation

Coordinate Graphs

Solving Equations with a Table and Graph

Solving Equations and Formulas

2. INEQUALITIES, FUNCTIONS AND LINEAR FUNCTIONS

Inequalities, Line Graphs, and Intervals

Functions

Linear Functions

Modeling with a Linear Function

Special Lines

Special Functions

3. SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES

Solving Systems of Two Linear Equations by Substitution and Elimination

Solving Systems of Two Linear Equations by Graphing

Quantity-Value Tables

Solving Systems of Three Linear Equations

Solving Linear and Absolute Value Inequalities

4. QUADRATIC AND POLYNOMIAL FUNCTIONS

Quadratic Functions and Solving Quadratic Equations with Tables and Graphs

Modeling Quadratic Functions

Polynomial Functions and Operations

Special Products and Factors and Their Graphs

Solving and Modeling Quadratic Equations with Factors

5. SQUARE ROOT FUNCTIONS, QUADRATIC EQUATIONS AND INEQUALITIES

The Square Root Function and the Pythagorean Theorem

Solving Quadratic Equations with Square Roots

Solving Quadratic Equations with the Quadratic Formula

Solving Quadratic Inequalities

6. QUADRATIC FUNCTIONS: SPECIAL TOPICS

The Role of a, b, and c in Graphing Quadratic Functions

Complex Numbers and Solving Polynomial Equations

Shifts, Vertex Form, and Applications of Quadratic Functions

Solving Minimum and Maximum Problems

7. RATIONAL FUNCTIONS AND VARIATION

Ratios, Units of Measure, and Proportions

Proportions and Direct Variation

Inverse Variation and Related Graphs

Simplification, Multiplication, and Division of Rational Expressions

Division of Polynomials and Related Graphs

Addition and Subtraction of Rational Expressions

Solving Rational Equations

8. EXPONENTS AND RADICALS

Exponents and Properties

Scientific Notation

Rational Exponents

Roots and Rational Exponents

More Operations with Radicals

Finding Inverse Functions

Solving Root and Power Equations

9. EXPONENTIAL AND LOGARITHMIC FUNCTIONS

Exponential Functions

Exponential Graphs and Equations

Solving Exponential Equations: Logarithms

Applications of Exponential and Logarithmic Functions

Properties of Logarithms and the Logarithmic Scale

The Natural Number e in Exponential and Logarithmic Functions

10. SYSTEMS OF NONLINEAR EQUATIONS AND MATRICES

Conic Sections

Solving Nonlinear Systems of Equations

Solving Systems of Inequalities

Solving Systems of Two Linear Equations with Matrices

Solving Systems of Three of More Linear Equations with Matrices

11. COUNTING AND PROBABILITY

Counting Outcomes

Permutations and Combinations

Probability: Equally Likely Outcomes, Counting Principles

Probability: Odds, Intersecting Events, and Not Equally Likely Outcomes

Pascal's Triangle and the Binomial Theorem

Final Exam Review

Appendix I: Selected Formulas

Appendix II: Percent Review

Appendix II: Sequences and Sums

Calculator Objectives

Selected Answers

Index of Applications

Combined Glossary and Index