Let's Review: Sequential Mathematics, Course III,9780764120916

Let's Review: Sequential Mathematics, Course III

by
Edition: 3rd
ISBN13: 9780764120916
ISBN10: 0764120913
Format: Paperback
Pub. Date: 2002-10-01
Publisher(s): Barrons Educational Series Inc
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Summary

This revised, updated edition is intended especially for students and teachers in high schools where mathematics is still taught in the three-course sequential math format. The book is also useful as a general high school mathematics review manual. Among the many topics covered are algebraic methods and complex numbers, functions and circles, trigonometry and solving triangles, and an introduction to probability and statistics. The book also features four recently given New York State Regents Course III Exams, answer keys, and a glossary of math terms.

Table of Contents

Preface vii
Scientific Calculators: What You Need to Know ix
Unit One Algebraic Methods and Complex Numbers 1(64)
Review and Extension of Algebraic Methods
1(29)
Defining Zero, Negative Integer, and Fractional Exponents
1(6)
Factoring Algebraic Expressions
7(5)
Multiplying and Dividing Algebraic Fractions
12(2)
Adding and Subtracting Algebraic Fractions
14(4)
Simplifying Complex Fractions
18(3)
Working with Radicals
21(9)
Regents Tune-Up: Chapter 1
27(1)
Answers to Selected Exercises
28(2)
Review and Extension of Equation Solving
30(13)
Solving Absolute-Value Equations and Inequalities
30(3)
Solving Quadratic Inequalities Algebraically
33(3)
Solving Fractional Equations
36(2)
Solving Radical Equations and Equations with Rational Exponents
38(5)
Regents Tune-Up: Chapter 2
41(1)
Answers to Selected Exercises
42(1)
Complex Numbers
43(22)
Classifying Numbers
43(5)
Multiplying and Dividing Complex Numbers
48(3)
Solving Quadratic Equations by Formula
51(3)
Solving Quadratic Equations Having Imaginary Roots
54(5)
Applying the Sum and the Product of the Roots Formulas
59(6)
Regents Tune-Up: Chapter 3
62(1)
Answers to Selected Exercises
63(2)
Unit Two Functions and Circles 65(92)
Relations, Functions, and Transformations
65(39)
Defining Relations and Functions
65(4)
Recognizing When a Graph Is a Function
69(3)
Composing Two Functions
72(3)
Viewing Transformations as Functions
75(5)
Reflecting and Rotating Using Coordinates
80(5)
Composing Transformations
85(5)
Finding the Inverse of a Function
90(4)
Graphing an Inverse Variation
94(10)
Regents Tune-Up: Chapter 4
99(2)
Answers to Selected Exercises
101(3)
Exponential and Logarithmic Functions
104(19)
Graphing y = bx and Its Inverse
104(5)
Using Logarithm Laws
109(5)
Computing with Logarithms
114(3)
Solving Exponential Equations
117(6)
Regents Tune-Up: Chapter 5
119(1)
Answers to Selected Exercises
120(3)
Circles
123(34)
Beginning Definitions and Circle Relationships
123(10)
Measuring Angles of Circles
133(12)
Finding Chord, Tangent, and Secant-Segment Lengths
145(12)
Regents Tune-Up: Chapter 6
153(2)
Answers to Selected Exercises
155(2)
Unit Three Trigonometry and Solving Triangles 157(97)
Trigonometric Functions: The General Angle
157(38)
Reviewing Right-Triangle Trigonometry
157(5)
Placing Angles in Standard Position
162(9)
Writing Trigonometric Functions Using Reference Angles
171(6)
Sketching y = a sin bx and y = a cos bx
177(6)
Sketching y = tan x
183(1)
Finding Inverse Trigonometric Functions
184(11)
Regents Tune-Up: Chapter 7
190(1)
Answers to Selected Exercises
191(4)
Trigonometric Identities, Equations, and Formulas
195(33)
Using Quotient and Pythagorean Identities
195(5)
Solving Trigonometric Equations
200(4)
Applying the Sum and Difference Identities
204(6)
Applying the Double-Angle Identities
210(4)
Applying the Half Angle Identities
214(4)
Proving Trigonometric Identities
218(10)
Regents Tune-Up: Chapter 8
222(2)
Answers to Selected Exercises
224(4)
Solving Triangles
228(26)
Finding the Area of a Triangle, Given SAS
228(3)
Solving Triangles: The Law of Sines
231(4)
Solving Triangles: The Law of Cosines
235(5)
Solving Triangles: More Applications
240(5)
Analyzing the Ambiguous Case
245(9)
Regents Tune-Up: Chapter 9
250(2)
Answers to Selected Exercises
252(2)
Unit Four Probability and Statistics 254(29)
Bernoulli Experiments, the Binomial Theorem, and the Normal Curve
254(29)
Finding Probabilities in Two-Outcome Experiments
254(7)
Expanding (a + b)n
261(4)
Comparing Statistical Measures
265(6)
Grouping Data
271(3)
Working with Normal Curves
274(9)
Regents Tune-Up: Chapter 10
279(1)
Answers to Selected Exercises
280(3)
Glossary 283(7)
Regents Examination Formulas 290(1)
Course III Regents Examinations 291(20)
What is the Mathematics B Regents Examination? 311(13)
Math B Regents Examination 324(16)
Index 340

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