ENGLISH

Competitive Math for Middle School: Algebra, Probability, and Number Theory

By Vinod Krishnamoorthy

Book information

Publisher
Pan Stanford
Year
2018
ISBN
978-981-4774-13-0, 978-1-315-19663-3, 9814774138, 1315196638, 9781351767644, 135176764X
Language
english
Format
PDF
Filesize
3 MB (2841172 bytes)
Edition
1
Pages
266\267
Time added
2018-06-05 18:02:38
Algebra.;Probability Theory & Applications.;STATSn

Description

The 39 self-contained sections in this book present worked-out examples as well as many sample problems categorized by the level of difficulty as Bronze, Silver, and Gold in order to help the readers gauge their progress and learning. Detailed solutions to all problems in each section are provided at the end of each chapter. The book can be used not only as a text but also for self-study. The text covers algebra (solving single equations and systems of equations of varying degrees, algebraic manipulations for creative problem solving, inequalities, basic set theory, sequences and series, rates and proportions, unit analysis, and percentages), probability (counting techniques, introductory probability theory, more set theory, permutations and combinations, expected value, and symmetry), and number theory (prime factorizations and their applications, Diophantine equations, number bases, modular arithmetic, and divisibility). It focuses on guiding students through creative problem-solving and on teaching them to apply their knowledge in a wide variety of scenarios rather than rote memorization of mathematical facts. It is aimed at, but not limited to, high-performing middle school students and goes further in depth and teaches new concepts not otherwise taught in traditional public schools. Content: Cover Half Title Title Copyright Contents Preface Chapter 1 Algebra Part 1 Linear Equations Part 2 Cross Multiplication Part 3 Systems of Equations Part 4 Exponents and Roots Part 5 Simplifying Radical Expressions Part 6 Proportions Part 7 Inequalities Part 8 Counting Numbers Part 9 Sequences and Series Part 10 Distance, Rate, and Time Part 11 Rates Part 12 Unit Conversion and Analysis Part 13 Percentages Part 14 Mixtures Part 15 Polynomial Expansions Part 16 Equivalent Expressions Part 17 Factoring Part 18 Special Factorizations Part 19 The Quadratic Formula Part 20 Solving for Whole ExpressionsPart 21 Infinite Series Part 22 Sets Part 23 Mean, Median, Mode, and Range Solutions Manual Part 1 Linear Equations Part 2 Cross Multiplication Part 3 Systems of Equations Part 4 Roots and Exponents Part 5 Simplifying Radical Expressions Part 6 Proportions Part 7 Inequalities Part 8 Counting Numbers Part 9 Sequences and Series Part 10 Distance, Rate, and Time Part 11 Rates Part 12 Unit Conversion and Analysis Part 13 Percentages Part 14 Mixtures Part 15 Polynomial Expansions Part 16 Equivalent Expressions Part 17 Factoring Part 18 Special FactorizationsPart 19 The Quadratic Formula Part 20 Solving for Whole Expressions Part 21 Infinite Series Part 22 Sets Part 23 Mean, Median, Mode and Range Chapter 2 Counting and Probability Part 1 Basic Probability Part 2 Basic Counting Part 3 Multiple Events Part 4 Orderings Part 5 Dependent Events Part 6 Subsets Part 7 Organized Counting Part 8 Permutations and Combinations Part 9 Expected Value Part 10 Weighted Average Part 11 Generality Solutions Manual Part 1 Basic Probability Part 2 Basic Counting Part 3 Multiple Events Part 4 Orderings Part 5 Dependent EventsPart 6 Subsets Part 7 Organized Counting Part 8 Permutations and Combinations Part 9 Expected Value Part 10 Weighted Average Part 11 Generality Chapter 3 Number Theory Part 1 Basic Number Theory Part 2 Counting Factors, GCF, LCM Part 3 Bases Part 4 Modular Arithmetic Part 5 Divisibility Tricks Solutions Manual Part 1 Basic Number Theory Part 2 Counting Factors, GCF, LCM Part 3 Bases Part 4 Modular Arithmetic Part 5 Divisibility Tricks Index

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