Let's Review Math B

Let's Review Math B

by Lawrence S. Leff M.S.


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This brand-new addition to Barron's Let's Review Series conforms to the new Regents Math B curriculum taught in secondary schools throughout New York State. This book gives an in-depth review of all Math B topics, provides graphing calculator instruction at the keystroke level, and presents hundreds of questions with answers for guided practice and review. Actual Math B Regents Exams with answers are at the back of the book.

Product Details

ISBN-13: 9780764116568
Publisher: Barron's Educational Series, Incorporated
Publication date: 11/28/2008
Series: Let's Review Series
Pages: 470
Product dimensions: 6.00(w) x 9.00(h) x (d)
Age Range: 14 - 17 Years

Table of Contents

Unit 1Geometric Proofs and Circles1
Chapter 1Proofs with Triangles1
1.1Basic Geometric Terms and Facts1
1.2Proving Triangles Congruent7
1.3Applying Congruent Triangles12
1.4The Isosceles Triangle18
1.5Using Pairs of Congruent Triangles22
1.6Indirect Proofs25
1.7Geometric Inequalities28
Chapter 2Quadrilaterals and Coordinates32
2.1Parallel Lines32
2.2Writing Equations of Lines35
2.4Special Parallelograms45
2.6General Coordinate Proofs56
Chapter 3Similar and Right Triangles61
3.1Ratio and Proportion61
3.2Proving Triangles Similar67
3.3Proving Products of Sides Equal70
3.4Proportions in a Right Triangle73
3.5Special Right Triangles79
Chapter 4Circles and Angle Measurement83
4.1Circle Parts and Relationships83
4.2Circumference and Area91
4.3Circle Angle Measurement95
4.4Similar Triangles and Circles105
Unit 2Algebraic and Graphical Representations113
Chapter 5Algebraic Operations113
5.1Real Numbers and Exponents113
5.2Factoring Methods119
5.3Writing Equivalent Fractions123
5.4Multiplying and Dividing Algebraic Fractions125
5.5Adding and Subtracting Algebraic Fractions128
5.6Complex Fractions131
5.7Operations with Radicals134
Chapter 6Functions and Graphing Calculators139
6.1Understanding Functions139
6.2Using a Graphing Calculator145
6.3Graphing Quadratic Functions153
6.4Solving Quadratic Equations157
6.5Applying Quadratic Functions163
Chapter 7Equations and Inequalities169
7.1Solving Absolute-Value Equations and Inequalities169
7.2Solving Quadratic Inequalities174
7.3Solving Radical Equations176
7.4Solving Fractional Equations179
Chapter 8Complex Numbers186
8.1The Set of Complex Numbers186
8.2Multiplying and Dividing Complex Numbers189
8.3The Quadratic Formula192
8.4Roots and Coefficients of Quadratic Equations198
Unit 3Transformations, Functions, and Growth203
Chapter 9Transformations and Functions203
9.1Reflections and Translations203
9.2Rotations and Dilations210
9.3Composite Functions212
9.4Composite Transformations217
9.5Inverses of Functions221
9.6Graphs of Quadratic Relations227
9.7Types of Variation233
Chapter 10Exponential and Logarithmic Functions236
10.1The Exponential Function236
10.2The Logarithmic Function239
10.3Logarithm Laws245
10.4Solving Exponential Equations250
10.5Exponential Growth and Decay252
Unit 4Regression and Probability259
Chapter 11Fitting Lines and Curves to Data259
11.1Linear Modeling259
11.2Fitting Lines to Data263
11.3Quadratic Modeling272
11.4Fitting Curves to Data274
Chapter 12Probability and Normal Curves280
12.1Binomial Probabilities280
12.2The Binomial Theorem287
12.3Descriptive Statistics290
12.4The Normal Curve298
Unit 5Trigonometric Functions and Laws305
Chapter 13Trigonometric Functions and Their Graphs305
13.1Trigonometric Functions and Angles305
13.2Radian Measure and Arc Length309
13.3Angles in Standard Position312
13.4Working with Trigonometric Functions319
13.5Trigonometric Functions of Special Angles322
13.6Graphs of Periodic Functions328
13.7Graphing y = a sin bx and y = a cos bx335
13.8Transformations of Trigonometric Functions340
13.9Graphing the Tangent Function345
13.10Inverse Trigonometric Functions347
Chapter 14Trigonometric Identities and Equations352
14.1Trigonometric Identities352
14.2Solving Trigonometric Equations355
14.3Sum and Difference Identities360
14.4Double-Angle Identities365
14.5Half-Angle Identities368
Chapter 15Laws of Sines and Cosines372
15.1Area of Triangle372
15.2The Law of Sines374
15.3The Ambiguous Case382
15.4The Law of Cosines387
15.5Parallelogram of Forces391
Answers and Solution Hints394
Glossary of Math B Terms418
AppendixThe Math B Regents Examination427
Recent Regents Examinations with Answers429

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