Explorations in College Algebra and Trigonometry Using the TI 83/83 Plus/84 Plus/86

by Cochener, Deborah Jolly; Hodge, Bonnie M.

• ISBN13: 9780534422622
• ISBN10: 0534422624
• Edition: 3rd
• Format: Paperback
• Copyright: 2004-08-03
• Publisher: Cengage Learning

Summary

This user-friendly workbook improves both student understanding and retention of algebra concepts through a series of activities and guided explorations using the graphing calculator. An ideal supplement for any college algebra or trigonometry course, EXPLORATIONS IN COLLEGE ALGEBRA AND TRIGONOMETRY, Third Edition is a useful tool for integrating technology without sacrificing content. By clearly and succinctly teaching keystrokes, class time is devoted to investigations instead of how to use a graphing calculator. Arranged by topics, this workbook enables the instructor to assign the appropriate Explorations Unit(s) that correlate(s) with the topic under discussion in the classroom. The workbook has a flexible organization. Each unit has one or more prerequisite units that are required for student success in working the assigned unit. This allows the use of this ancillary text with any core course textbook. Charts that correlate the concepts from textbook sections with specific Explorations units are available in the Instructor Resources section of the Book Companion Web Site. The Companion Web Site can be accessed at http://mathematics.brookscole.com.

Table of Contents

Key Charts	iii
Preface to the Instructor	vii
Basic Calculator Operations
Getting Acquainted with Your Calculator	1	(10)
This unit is a prerequisite for all other units in the text
Basic arithmetic operations with signed numbers, absolute value, square roots, and exponents. Shortcut keys are also introduced
Fractions and The Order of Operations Prerequisite: Unit #1	11	(8)
The calculator is used to perform fraction arithmetic and the order or operations
Evaluating Through Tables and the Store Feature Prerequisite: Unit #2	19	(10)
Evaluation of expressions and the checking of solutions is explored
Rational Exponents and Radicals Prerequisite: Unit #2	29	(4)
The evaluation of higher order roots is presented along with the relationship between rational exponents and roots
TI-83/84 Series TI-86: Complex Numbers Prerequisite: Unit #3	33	(4)
Complex number operations are addressed
Graphically Solving Equations
Graphical Solutions: Linear Equations Prerequisite: Unit #3	37	(8)
Depending on the organization of your textbook you may choose to work units 14 and 15 prior to this unit. Solving linear equations using the Intersect feature with use of the Table for verification
Graphical Solutions: Absolute Value Equations Prerequisite Unit: #6	45	(4)
Solving absolute value equations using the Intersect feature with use of the Table for verification
Graphical Solutions: Quadratic and Higher Degree Equations Prerequisite Unit: #6	49	(6)
This unit considers the Root or Zero feature as another graphic approach to solving equations. It is possible to divide the unit into two parts if the accompanying textbook addresses quadratic equations in a section separate from higher-order equations
Graphical Solutions: Radical Equations Prerequisites: Units #8 and #4	55	(4)
This unit uses the Intersect and Root/Zero options to solve radical equations
Interpreting Graphical Displays to Solve Inequalities
Graphical Solutions: Linear Inequalities Prerequisite: Unit #6	59	(6)
This unit presents the interpretation of tables and graphs to solve linear inequalities
Graphical Solutions: Absolute Value Inequalities Prerequisite: Units #7 and #10	65	(6)
This unit continues to examine solutions of inequalities through the interpretation of tables and graphs
Graphical Solutions: Quadratic Inequalities Prerequisite: Units #8 and #10	71	(6)
This unit examines solutions of quadratic inequalities through the interpretation of graphical displays
Graphical Solutions: Rational Inequalities Prerequisite: Unit #12	77	(4)
Solutions of rational inequalities are determined through the interpretation of graphical displays in both connected and dot mode
Graphing and Exploring Equations in Two Variables
Graphing Basics Prerequisite: Unit #3	81	(6)
Hand drawn graphs and calculator generated graphs are compared. The adjustment of viewing windows is also explored
Calculator Viewing Windows Prerequisite: Unit #3	87	(10)
An in-depth look at Zoom options is presented
Functions Prerequisite: Unit #15	97	(6)
Domain, range, inverses, and the evaluation of functions using the VARS feature are examined
Translating, Stretching, and Shrinking Graphs of Functions Prerequisite: Unit #16	103	(6)
Students explore the effect of different constants on the graphs of parabolas and then generalize to graphs of absolute value and radical functions
Symmetry of Functions Prerequisite: Unit #17	109	(4)
Symmetry about the y-axis and origin are explored through tables and graphs
Piecewise Functions Prerequisite: Unit #14	113	(6)
Exploration of piecewise functions utilizing the Test menu
Exponential and Logarithmic Functions Prerequisite: Unit #16	119	(6)
Exponential functions (to include base e), inverses, logarithmic functions and both exponential and logarithmic equations are explored
Curve of Best Fit Prerequisite Unit: #8	125	(12)
Scatter plots and linear, quadratic, and cubic functions are examined
Matrices Prerequisite: Unit #3	137	(14)
Solutions of systems of equations using matrices are explored
Trigonometric Functions
Trigonometric Functions: Amplitude, Phase Shifts and Translations Prerequisite: Unit #17	151	(10)
Changes in amplitude, phase shifts, and translations are explored graphically
Graphical Explorations: Trigonometric Identities Prerequisite: Unit #23	161	(4)
Graphs of trigonometric identities are explored
Graphical Solutions: Trigonometric Equations Prerequisite: Unit #24	165	(4)
Solutions of trigonometric equations that are not identities are explored
Polar Graphing Prerequisite: Unit #23	169	(6)
Polar graphing is explored using the graphing calculator
Parametric Graphs of Conics Prerequisite: Unit #26	175	(6)
This unit examines circles, ellipses, and hyperbolas using parametric equations
Roots of Complex Numbers Prerequisite: Unit #27	181	(6)
nth roots of complex numbers in trigonometric form are examined
Index	187