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Preface | |
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Geometric Proofs and Circles | |
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Proofs with Triangles | |
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Basic Geometric Terms and Facts | |
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Proving Triangles Congruent | |
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Applying Congruent Triangles | |
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The Isosceles Triangle | |
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Using Pairs of Congruent Triangles | |
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Indirect Proofs | |
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Geometric Inequalities | |
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Quadrilaterals and Coordinates | |
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Parallel Lines | |
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Writing Equations of Lines | |
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Parallelograms | |
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Special Parallelograms | |
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Trapezoids | |
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General Coordinate Proofs | |
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Similar and Right Triangles | |
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Ratio and Proportion | |
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Proving Triangles Similar | |
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Proving Products of Sides Equal | |
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Proportions in a Right Triangle | |
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Special Right Triangles | |
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Circles and Angle Measurement | |
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Circle Parts and Relationships | |
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Circumference and Area | |
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Circle Angle Measurement | |
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Similar Triangles and Circles | |
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Algebraic and Graphical Representations | |
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Algebraic Operations | |
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Real Numbers and Exponents | |
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Factoring Methods | |
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Writing Equivalent Fractions | |
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Multiplying and Dividing Algebraic Fractions | |
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Adding and Subtracting Algebraic Fractions | |
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Complex Fractions | |
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Operations with Radicals | |
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Functions and Graphing Calculators | |
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Understanding Functions | |
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Using a Graphing Calculator | |
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Graphing Quadratic Functions | |
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Solving Quadratic Equations | |
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Applying Quadratic Functions | |
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Equations and Inequalities | |
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Solving Absolute-Value Equations and Inequalities | |
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Solving Quadratic Inequalities | |
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Solving Radical Equations | |
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Solving Fractional Equations | |
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Complex Numbers | |
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The Set of Complex Numbers | |
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Multiplying and Dividing Complex Numbers | |
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The Quadratic Formula | |
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Roots and Coefficients of Quadratic Equations | |
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Transformations, Functions, and Growth | |
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Transformations and Functions | |
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Reflections and Translations | |
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Rotations and Dilations | |
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Composite Functions | |
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Composite Transformations | |
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Inverses of Functions | |
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Graphs of Quadratic Relations | |
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Types of Variation | |
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Exponential and Logarithmic Functions | |
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The Exponential Function | |
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The Logarithmic Function | |
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Logarithm Laws | |
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Solving Exponential Equations | |
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Exponential Growth and Decay | |
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Regression and Probability | |
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Fitting Lines and Curves to Data | |
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Linear Modeling | |
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Fitting Lines to Data | |
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Quadratic Modeling | |
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Fitting Curves to Data | |
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Probability and Normal Curves | |
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Binomial Probabilities | |
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The Binomial Theorem | |
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Descriptive Statistics | |
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The Normal Curve | |
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Trigonometric Functions and Laws | |
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Trigonometric Functions and Their Graphs | |
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Trigonometric Functions and Angles | |
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Radian Measure and Arc Length | |
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Angles in Standard Position | |
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Working with Trigonometric Functions | |
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Trigonometric Functions of Special Angles | |
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Graphs of Periodic Functions | |
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Graphing y = a sin bx and y = a cos bx | |
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Transformations of Trigonometric Functions | |
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Graphing the Tangent Function | |
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Inverse Trigonometric Functions | |
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Trigonometric Identities and Equations | |
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Trigonometric Identities | |
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Solving Trigonometric Equations | |
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Sum and Difference Identities | |
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Double-Angle Identities | |
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Half-Angle Identities | |
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Laws of Sines and Cosines | |
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Area of Triangle | |
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The Law of Sines | |
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The Ambiguous Case | |
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The Law of Cosines | |
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Parallelogram of Forces | |
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Answers and Solution Hints | |
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Glossary of Math B Terms | |
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The Math B Regents Examination | |
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Recent Regents Examinations with Answers | |
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Index | |