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This major revision prepares students to succeed on the New York State Math A Regents Exam as it is now given. The book places increased emphasis on use of the graphing calculator, and in line with New York State Regents core curriculum, it shows how given problems can be solved in several different ways. The author also includes new Regents question types dealing, for instance, with motion problems and mathematical systems defined by tables. New contextualized word problems further enhance the presentation. The totally rewritten chapter on problem-solving offers students a core set of strategies that apply to a variety of curriculum-related exercises. In addition to subject review, demonstration examples, and practice exercises with answers, the book includes several complete recent Math A Regents exams with answers.
Provides a review covering mathematical reasoning; geometry; algebraic methods; area, volume, and measurement; graphs and transformations; and probability and statistics. Includes two sample Regents examinations.
| Preface | vii | |
| Unit 1 | Mathematical Reasoning | 1 |
| Chapter 1 | Workings With Numbers and Variables | 1 |
| 1.1 | Algebraic Terms and Symbols | 1 |
| 1.2 | Properties of Real Numbers | 7 |
| 1.3 | Exponents and Scientific Notation | 13 |
| 1.4 | Order of Operations | 17 |
| 1.5 | Translating Between English and Algebra | 20 |
| Chapter 2 | Linear Equations and Inequalities | 24 |
| 2.1 | Solving One-Step Equations | 24 |
| 2.2 | Solving Multistep Equations | 27 |
| 2.3 | Solving Equations with Like Terms | 33 |
| 2.4 | Solving Percent Problems | 40 |
| 2.5 | Working with Formulas | 46 |
| 2.6 | Ratio and Proportion | 53 |
| 2.7 | Solving Inequalities | 59 |
| Chapter 3 | Problem Solving and Logical Reasoning | 65 |
| 3.1 | Problem-Solving Strategies | 65 |
| 3.2 | Solving Motion Problems | 80 |
| 3.3 | Solving Problems in Different Ways | 84 |
| 3.4 | Venn Diagrams and Counting | 89 |
| 3.5 | Connecting Two Statements | 92 |
| 3.6 | Combined Inequalities | 98 |
| Unit 2 | Geometry | 105 |
| Chapter 4 | Angles, Lines, and Polygons | 105 |
| 4.1 | Building a Geometry Vocabulary | 105 |
| 4.2 | Special Pairs of Angles | 112 |
| 4.3 | Parallel Lines | 116 |
| 4.4 | Classifying Polygons and Triangles | 124 |
| 4.5 | Triangle Angle Sum | 127 |
| 4.6 | Angles of a Polygon | 136 |
| Chapter 5 | Congruent Triangles and Special Quadrilaterals | 142 |
| 5.1 | Congruent Triangles | 142 |
| 5.2 | Isosceles Triangles | 148 |
| 5.3 | Inequalities in a Triangle | 152 |
| 5.4 | Parallelograms and Trapezoids | 157 |
| 5.5 | Special Parallelograms | 163 |
| Unit 3 | Algebraic Methods | 171 |
| Chapter 6 | Polynomial Arithmetic and Factoring | 171 |
| 6.1 | Classifying and Combining Polynomials | 171 |
| 6.2 | Multiplying and Dividing Polynomials | 174 |
| 6.3 | Factoring Polynomials | 180 |
| 6.4 | Special Factoring Techniques | 182 |
| 6.5 | Solving Quadratic Equations by Factoring | 188 |
| 6.6 | Solving Word Problems | 192 |
| Chapter 7 | Operations with Algebraic Fractions | 199 |
| 7.1 | Simplifying Algebraic Fractions | 199 |
| 7.2 | Multiplying and Dividing Algebraic Fractions | 203 |
| 7.3 | Converting Units of Measurement | 206 |
| 7.4 | Adding and Subtracting Algebraic Fractions | 209 |
| 7.5 | Solving Equations with Fractions | 215 |
| Chapter 8 | Radicals and Right Triangles | 219 |
| 8.1 | Square Roots and Real Numbers | 219 |
| 8.2 | Arithmetic Operations with Radicals | 224 |
| 8.3 | The Pythagorean Theorem | 228 |
| 8.4 | Side Relationships in Special Right Triangles | 234 |
| Unit 4 | Area, Volume, and Measurement | 239 |
| Chapter 9 | Area, Circumference, and Volume | 239 |
| 9.1 | Areas of Triangles and Special Quadrilaterals | 239 |
| 9.2 | Circumference and Area of a Circle | 250 |
| 9.3 | Areas of Overlapping Figures | 256 |
| 9.4 | Volumes of Circular Solids | 260 |
| Chapter 10 | Similar Triangles and Trigonometric Ratios | 266 |
| 10.1 | Comparing Sides of Similar Polygons | 266 |
| 10.2 | Right Triangle Trigonometry | 272 |
| 10.3 | Solving Problems Using Trigonometry | 279 |
| Unit 5 | Graphs and Transformations | 287 |
| Chapter 11 | Linear Equations and Their Graphs | 287 |
| 11.1 | Coordinates and Area | 287 |
| 11.2 | Midpoint and Distance Formulas | 292 |
| 11.3 | Slope of a Line | 296 |
| 11.4 | Equations of Lines | 304 |
| 11.5 | Graphing Linear Equations | 312 |
| 11.6 | Direct Variation | 317 |
| 11.7 | Using Graphs as Mathematical Models | 321 |
| Chapter 12 | Points That Satisfy Conditions | 328 |
| 12.1 | Observing Symmetry | 328 |
| 12.2 | Types of Transformations | 331 |
| 12.3 | Transformations in the Coordinate Plane | 337 |
| 12.4 | Simple Locus | 343 |
| 12.5 | Satisfying More Than One Locus Condition | 346 |
| Chapter 13 | Systems of Linear Equations and Inequalities | 352 |
| 13.1 | Solving Linear Systems Graphically | 352 |
| 13.2 | Solving Linear Systems by Substitution | 360 |
| 13.3 | Solving Linear Systems by Addition | 366 |
| Chapter 14 | Quadratic Equations and Their Graphs | 374 |
| 14.1 | General Equation of a Circle | 374 |
| 14.2 | Graphing Vertical Parabolas | 379 |
| 14.3 | Learning More About Parabolas | 388 |
| 14.4 | Solving Linear-Quadratic Systems | 392 |
| Unit 6 | Probability and Statistics | 399 |
| Chapter 15 | Simple Probability and Statistics | 399 |
| 15.1 | Finding Simple Probabilities | 399 |
| 15.2 | Statistical Measures | 405 |
| 15.3 | Percentiles and Quartiles | 410 |
| 15.4 | Histograms and Stem-and-Leaf Plots | 414 |
| 15.5 | Cumulative Frequency Tables and Histograms | 422 |
| Chapter 16 | Probability and Counting Methods | 430 |
| 16.1 | Probability of a Compound Event | 430 |
| 16.2 | Probability Formulas | 434 |
| 16.3 | Permutations | 441 |
| 16.4 | Combinations | 447 |
| Answers and Solution Hints | 456 | |
| Glossary of Math a Terms | 476 | |
| Appendix I | Basic Geometric Constructions | 484 |
| Appendix II | The Math a Regents Exam | 492 |
| Recent Regents Examinations with Answers | 494 | |
| Index | 523 |
Anonymous
Posted August 20, 2003
This book explains every topic in easy to follow topics. This book also gives step by step demonstration examples. I highly recommend this book to anyone who wants to prepare for the Math A exam. This book is also good for the 9th grade SHSAT OR 9th grade SPECIALIZED SCIENCE EXAM because it has many good topics that might be on the exam. It is worth every penny.
1 out of 1 people found this review helpful.
Was this review helpful? Yes NoThank you for your feedback. Report this reviewThank you, this review has been flagged.Anonymous
Posted January 2, 2007
This wonderful book is an excellent book to use to prepare for an excellent grade on the Math A regents. To do good, you need to be patient and devote your time to reading and fully comprehending this. I had bought this in Sep., reviewed through out the year, and in June, I got a 100% on the Math A final. It describes in EXCELLENT detail EACH and EVERY topic required to know for the Math A course. It is highyly recommended for students who wish to be successful at Math A. It also provides about 10-20 questions for every topic so you get practice. I recommend you get this book and, for more practice get the Barron's Regents Exams and Answers: Math A. The barron's collection is a great series and provides excellent review.
Was this review helpful? Yes NoThank you for your feedback. Report this reviewThank you, this review has been flagged.Anonymous
Posted April 3, 2006
I really like this book. I didn't understand my teacher very well when she was teaching, so i decided to buy this book and it helped boast my grades and better understand math my way.
Was this review helpful? Yes NoThank you for your feedback. Report this reviewThank you, this review has been flagged.Anonymous
Posted December 18, 2003
This book was very good.. except that I HATE MATH!!!!! wtvr, this book will help for the regents
Was this review helpful? Yes NoThank you for your feedback. Report this reviewThank you, this review has been flagged.Anonymous
Posted November 19, 2002
This a book that you should get. It really helps with your math skills. A special tool aor need with this book is the Texas Instrument calculator TI-83 and TI-83 Silver Edition. The book shows you how you can use the calculators with simple quesions on the regents. It also come in handy with the Barron's Math B book.
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Overview
This major revision prepares students to succeed on the New York State Math A Regents Exam as it is now given. The book places increased emphasis on use of the graphing calculator, and in line with New York State Regents core curriculum, it shows how given problems can be solved in several different ways. The author also includes new Regents question types dealing, for instance, with motion problems and mathematical systems defined by tables. New contextualized word problems further enhance the presentation. The ...