Preface |
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vii | |
Unit One Geometric Proofs and Circles |
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1 | (112) |
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1 | (31) |
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Basic Geometric Terms and Facts |
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1 | (6) |
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Proving Triangles Congruent |
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7 | (5) |
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Applying Congruent Triangles |
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12 | (6) |
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18 | (4) |
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Using Pairs of Congruent Triangles |
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22 | (3) |
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25 | (3) |
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28 | (4) |
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Quadrilaterals and Coordinates |
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32 | (29) |
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32 | (3) |
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Writing Equations of Lines |
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35 | (6) |
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41 | (4) |
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45 | (6) |
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51 | (5) |
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General Coordinate Proofs |
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56 | (5) |
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Similar and Right Triangles |
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61 | (22) |
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61 | (6) |
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Proving Triangles Similar |
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67 | (3) |
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Proving Products of Sides Equal |
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70 | (3) |
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Proportions in a Right Triangle |
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73 | (6) |
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79 | (4) |
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Circles and Angle Measurement |
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83 | (30) |
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Circle Parts and Relationships |
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83 | (8) |
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91 | (4) |
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95 | (10) |
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Similar Triangles and Circles |
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105 | (8) |
Unit Two Algebraic and Graphical Representations |
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113 | (90) |
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113 | (26) |
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Real Numbers and Exponents |
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113 | (6) |
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119 | (4) |
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Writing Equivalent Fractions |
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123 | (2) |
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Multiplying and Dividing Algebraic Fractions |
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125 | (3) |
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Adding and Subtracting Algebraic Fractions |
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128 | (3) |
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131 | (3) |
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134 | (5) |
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Functions and Graphing Calculators |
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139 | (30) |
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139 | (6) |
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Using a Graphing Calculator |
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145 | (8) |
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Graphing Quadratic Functions |
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153 | (4) |
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Solving Quadratic Equations |
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157 | (6) |
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Applying Quadratic Functions |
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163 | (6) |
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Equations and Inequalities |
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169 | (17) |
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Solving Absolute-Value Equations and Inequalities |
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169 | (5) |
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Solving Quadratic Inequalities |
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174 | (2) |
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Solving Radical Equations |
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176 | (3) |
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Solving Fractional Equations |
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179 | (7) |
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186 | (17) |
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The Set of Complex Numbers |
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186 | (3) |
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Multiplying and Dividing Complex Numbers |
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189 | (3) |
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192 | (6) |
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Roots and Coefficients of Quadratic Equations |
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198 | (5) |
Unit Three Transformations, Functions, and Growth |
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203 | (56) |
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Transformations and Functions |
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203 | (33) |
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Reflections and Translations |
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203 | (7) |
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210 | (2) |
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212 | (5) |
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Composite Transformations |
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217 | (4) |
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221 | (6) |
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Graphs of Quadratic Relations |
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227 | (6) |
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233 | (3) |
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Exponential and Logarithmic Functions |
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236 | (23) |
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236 | (3) |
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239 | (6) |
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245 | (5) |
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Solving Exponential Equations |
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250 | (2) |
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Exponential Growth and Decay |
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252 | (7) |
Unit Four Regression and Probability |
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259 | (46) |
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Fitting Lines and Curves To Data |
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259 | (21) |
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259 | (4) |
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263 | (9) |
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272 | (2) |
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274 | (6) |
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Probability and Normal Curves |
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280 | (25) |
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280 | (7) |
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287 | (3) |
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290 | (8) |
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298 | (7) |
Unit Five Trigonometric Functions and Laws |
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305 | (89) |
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Trigonometric Functions and Their Graphs |
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305 | (47) |
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Trigonometric Functions and Angles |
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305 | (4) |
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Radian Measure and Arc Length |
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309 | (3) |
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Angles in Standard Position |
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312 | (7) |
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Working with Trigonometric Functions |
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319 | (3) |
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Trigonometric Functions of Special Angles |
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322 | (6) |
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Graphs of Periodic Functions |
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328 | (7) |
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Graphing y = a sin bx and y = a cos bx |
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335 | (5) |
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Transformations of Trigonometric Functions |
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340 | (5) |
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Graphing the Tangent Function |
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345 | (2) |
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Inverse Trigonometric Functions |
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347 | (5) |
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Trigonometric Identities and Equations |
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352 | (20) |
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352 | (3) |
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Solving Trigonometric Equations |
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355 | (5) |
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Sum and Difference Identities |
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360 | (5) |
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365 | (3) |
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368 | (4) |
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Laws of Sines and Cosines |
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372 | (22) |
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372 | (2) |
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374 | (8) |
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382 | (5) |
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387 | (4) |
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391 | (3) |
ANSWERS AND SOLUTION HINTS |
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394 | (24) |
GLOSSARY OF MATH B TERMS |
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418 | (9) |
APPENDIX THE MATH B REGENTS EXAMINATION |
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427 | (28) |
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Recent Regents Examinations with Answers |
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429 | (26) |
Index |
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455 | |
Preface |
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v | |
How to Use This Book |
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1 | (3) |
Getting Acquainted with Math B |
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4 | (5) |
Ten Test-Taking Tips |
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9 | (11) |
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Know What to Expect on Test Day |
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Avoid Last-Minute Studying |
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Be Well Rested and Come Prepared on Test Day |
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Know How to Use Your Calculator |
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Know When to Use Your Calculator |
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Have a Plan for Budgeting Your Time |
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Make Your Answers Easy to Read |
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Answer the Question That Is Asked |
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Take Advantage of Multiple-Choice Questions |
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Graphing Calculator Skills |
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20 | (10) |
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Graphing Functions and Setting Windows |
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Finding Intersection Points |
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Graphing Trigonometric Functions |
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Calculating Standard Deviation |
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Fitting a Regression Line to Data |
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Formulas |
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30 | (6) |
Some Key Math B Facts and Skills |
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36 | (99) |
Glossary of Terms |
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135 | (16) |
Regents Examinations, Answers, and Self Analysis Charts |
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151 | (1) |
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152 | (31) |
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Examination June 2001 Math B |
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183 | (34) |
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Examination August 2001 Math B |
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217 | (29) |
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Examination January 2002 Math B |
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246 | |