Competitive Mathematics for Gifted Students - Level 1 Combo PDF Download

Author: Cleo Borac
Publisher:
ISBN: 9780692240076
Category :
Languages : en
Pages : 294

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Book Description
This is a combo volume that incorporates all four volumes for level 1. The interior of the 4 in 1 volume is always updated to contain the latest edition of the individual volumes. About "Competitive Mathematics for Gifted Students" This series provides practice materials and short theory reminders for students who aim to excel at problem solving. Material is introduced in a structured manner: each new concept is followed by a problem set that explores the content in detail. Each book ends with a problem set that reviews both concepts presented in the current volume and related topics from previous volumes. The series forms a learning continuum that explores strategies specific to competitive mathematics in depth and breadth. Full solutions explain both reasoning and execution. Often, several solutions are contrasted. The problem selection emphasizes comprehension, critical thinking, observation, and avoiding repetitive and mechanical procedures. Ready to participate in a math competition such as MOEMS, Math Kangaroo in USA, or Noetic Math? This series will open the doors to consistent performance. About Level 1 This level of the series is designed for students who know addition and subtraction with multi-digit numbers as well as simple multiplications of one-digit numbers. Some of the problems, however, involve advanced concepts and may be useful for older students.

Author: Cleo Borac
Publisher:
ISBN: 9780615828053
Category :
Languages : en
Pages : 68

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Book Description
The second edition of this book is out! Please look for the second edition updated and improved! This is the first edition. About "Competitive Mathematics for Gifted Students" This series provides practice materials and short theory reminders for students who aim to excel at problem solving. Material is introduced in a structured manner: each new concept is followed by a problem set that explores the content in detail. Each book ends with a problem set that reviews both concepts presented in the current volume and related topics from previous volumes. The series forms a learning continuum that explores strategies specific to competitive mathematics in depth and breadth. Full solutions explain both reasoning and execution. Often, several solutions are contrasted. The problem selection emphasizes comprehension, critical thinking, observation, and avoiding repetitive and mechanical procedures. Ready to participate in a math competition such as MOEMS, Math Kangaroo in USA, or Noetic Math? This series will open the doors to consistent performance. About Level 1 This level of the series is designed for students who know addition and subtraction with multi-digit numbers as well as simple multiplications of one-digit numbers. Some of the problems, however, involve advanced concepts and may be useful for older students. About Volume 2 - Observation and Logic The problems in this volume are based on contrast, surprise elements, and lateral thinking. They encourage students to give themselves more freedom in exploring the universe of each problem statement. Creative thinking is rewarded, but repetitive thinking is not. Advanced mathematical concepts are introduced in simplified forms. This book includes patterning and an elementary treatment of rates.

Author: Cleo Borac
Publisher:
ISBN: 9780615834641
Category :
Languages : en
Pages : 84

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Book Description
The second edition of this book is out! Please look for the second edition (updated and improved)! This is the first edition. About "Competitive Mathematics for Gifted Students" This series provides practice materials and short theory reminders for students who aim to excel at problem solving. Material is introduced in a structured manner: each new concept is followed by a problem set that explores the content in detail. Each book ends with a problem set that reviews both concepts presented in the current volume and related topics from previous volumes. The series forms a learning continuum that explores strategies specific to competitive mathematics in depth and breadth. Full solutions explain both reasoning and execution. Often, several solutions are contrasted. The problem selection emphasizes comprehension, critical thinking, observation, and avoiding repetitive and mechanical procedures. Ready to participate in a math competition such as MOEMS, Math Kangaroo in USA, or Noetic Math? This series will open the doors to consistent performance. About Level 1 This level of the series is designed for students who know addition and subtraction with multi-digit numbers as well as simple multiplications of one-digit numbers. Some of the problems, however, involve advanced concepts and may be useful for older students. About "Volume 3 - Operations" This workbook focuses on developing rapid and accurate computational skills as well as a solid number sense. Since most contests do not allow calculators, it is important to learn how to execute strings of operations efficiently. Even more important, however, is a well grounded number sense. This volume emphasizes flexibility in using the order of operations and creativity in designing the optimal solution path. Ultimately, the idea is to build a sense of 'wizardry' in handling numbers. Many exercises are mapped to algebraic models that will be studied in later grades. Students are introduced to the Polish notation as a different way of communicating operations. Our problem sets are designed to avoid mechanical execution of computational algorithms on the student's part.

Author: Cleo Borac
Publisher:
ISBN: 9780692241141
Category :
Languages : en
Pages : 78

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Book Description
2nd edition - 2014 About "Competitive Mathematics for Gifted Students" This series provides practice materials and short theory reminders for students who aim to excel at problem solving. Material is introduced in a structured manner: each new concept is followed by a problem set that explores the content in detail. Each book ends with a problem set that reviews both concepts presented in the current volume and related topics from previous volumes. The series forms a learning continuum that explores strategies specific to competitive mathematics in depth and breadth. Full solutions explain both reasoning and execution. Often, several solutions are contrasted. The problem selection emphasizes comprehension, critical thinking, observation, and avoiding repetitive and mechanical procedures. Ready to participate in a math competition such as MOEMS, Math Kangaroo in USA, or Noetic Math? This series will open the doors to consistent performance. About Level 1 This level of the series is designed for students who know addition and subtraction with multi-digit numbers as well as simple multiplications of one-digit numbers. Some of the problems, however, involve advanced concepts and may be useful for older students. About "Volume 4 - Arithmetic" In this volume, students will explore: the difference between numbers and digits, cryptarithms, and solving equations using concrete models. Each problem is tailored to bring a new learning experience to the student. Simplified versions of advanced concepts, such as the use of parity in solving problems, are introduced.

Author: Cleo Borac
Publisher:
ISBN: 9780692245613
Category :
Languages : en
Pages : 102

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Book Description
2nd Edition -2014 About "Competitive Mathematics for Gifted Students" This series provides practice materials and short theory reminders for students who aim to excel at problem solving. Material is introduced in a structured manner: each new concept is followed by a problem set that explores the content in detail. Each book ends with a problem set that reviews both concepts presented in the current volume and related topics from previous volumes. The series forms a learning continuum that explores strategies specific to competitive mathematics in depth and breadth. Full solutions explain both reasoning and execution. Often, several solutions are contrasted. The problem selection emphasizes comprehension, critical thinking, observation, and avoiding repetitive and mechanical procedures. Ready to participate in a math competition such as MOEMS, Math Kangaroo in USA, or Noetic Math? This series will open the doors to consistent performance. About Level 2 This level of the series is designed for students who know the multiplication tables, integer division with remainder and basic operations with decimals. Our level 1 books explain concepts that may need review before attempting level 2. Level 2 books are suitable for preparing Math Kangaroo 3-4 and MOEMS-E. Many of the concepts presented, however, reach much farther into the AMC-8 level. Level 2 consists of: Word Problems (volume 5), Operations (volume 6), Arithmetic (volume 7), and Combinatorics (volume 8). About Volume 5 - Word Problems The problems train comprehension and critical reading skills. Algebraic methods should not be used when helping students solve these problems. We recommend building concrete models that show the relations among the various quantities. This volume explains how to build concrete models for comparison, the method of reduction to unity, handling problems based on multiples and remainders. A review of problems based on time, rates, and coins concludes the presentation of word problems. Problems avoid the repetition of the same context, thus providing a challenging solving experience.

Author: Xing Zhou
Publisher: Createspace Independent Publishing Platform
ISBN: 9781542567121
Category :
Languages : en
Pages : 144

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Book Description
Algebra is taught from elementary school to college and beyond. Algebraic problems present a significant portion in all math competitions including MathCounts, AMC, AIME, USAMO and so on. Therefore, solving competition level algebraic problems is a must-master skills for every contest contender. Algebra includes a wide range of topics and techniques. Some of them may be related to advanced mathematical theorems and tools. Therefore, it is impossible to cover all of them in one book. However, middle school and high school level competitions usually do not require advanced mathematics. Instead, the emphasis is on the applications of basic algebraic skills in a flexible and effective way to solve complex problems. As a result, it is a wise strategy to thoroughly understand the most important topics and drill down into details of related solving techniques in order to improve one's skill and test performance. This book covers three basic but important topics: equation, sequence and function. While these topics are all taught in schools, there are some competition specific techniques which deserve a systematic discussion. Taking Vieta's theorem as an example. While polynomial transformation is a well known method to evaluate expressions such as $x_1 DEGREES2+x_2 DEGREES2$, there are several other powerful techniques. They can be used to evaluate some complex expressions in a more efficient and less error-prone way. These expressions can have high power such as $x_1 DEGREES{7}+x_2 DEGREES{7}$, or are asymmetric such as $5x_1 DEGREES3 + 3 x_2 DEGREES5$. In fact, the latter asymmetric expression can present a challenge to many students who only know the polynomial transformation method. In addition to expression evaluation, Vieta's theorem can also be used to solve some seemingly unrelated problems. Such problems are among top hits in various math competitions. Sequence is another good example. Most students understand the two basic types of sequences, namely, arithmetic and geometric. Though the vast majority of sequence related problems in math contests can be converted to these basic types, finding such conversion may be a demanding task which is usually not discussed in classrooms. Meanwhile, in order to become a strong competitor, one must also understand a few additional more complex sequences especially those defined recursively. They are beyond the scope of school textbooks, but are discussed in this book. The goal of this book is to give an organized in-depth discussion on competition level techniques. Fully understanding these techniques will help students to quickly recognize and solve these types of problems. It will also lay down a solid foundation for them to solve other problems whose solutions require these algebraic techniques as critical stepping stones. Please visit http: //www.ma

Author: Cleo Borac
Publisher:
ISBN: 9780615868639
Category :
Languages : en
Pages : 106

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Book Description
Buy the second edition! The second edition is out! This is the first edition - it comes first in searches because it has sold a lot. The second edition is new and shows up farther down the list. Please look for the second edition! The interior has been revised and updated. About "Competitive Mathematics for Gifted Students" This series provides practice materials and short theory reminders for students who aim to excel at problem solving. Material is introduced in a structured manner: each new concept is followed by a problem set that explores the content in detail. Each book ends with a problem set that reviews both concepts presented in the current volume and related topics from previous volumes. The series forms a learning continuum that explores strategies specific to competitive mathematics in depth and breadth. Full solutions explain both reasoning and execution. Often, several solutions are contrasted. The problem selection emphasizes comprehension, critical thinking, observation, and avoiding repetitive and mechanical procedures. Ready to participate in a math competition such as MOEMS, Math Kangaroo in USA, or Noetic Math? This series will open the doors to consistent performance. About Level 2 This level of the series is designed for students who know the multiplication tables, integer division with remainder and basic operations with decimals. Our level 1 books explain concepts that may need review before attempting level 2. Level 2 books are suitable for preparing Math Kangaroo 3-4 and MOEMS-E. Many of the concepts presented, however, reach much farther into the AMC-8 level. Level 2 consists of: Word Problems (volume 5), Operations (volume 6), Arithmetic (volume 7), and Combinatorics (volume 8). About Volume 8 - Combinatorics We continue the study of counting from the level 1 books. We start introducing sets. The study of sets will continue over the next levels, each time introducing more concepts. We continue with a thorough practice of the last digit of a product or sum and we introduce applications of the Pigeonhole principle. Next, we introduce the notion of a factorial and apply it to arrangements. We conclude with a section on dominoes and square tables. This book is rich in strategies and variety.

Author: Cleo Borac
Publisher:
ISBN: 9780615873862
Category :
Languages : en
Pages : 124

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Book Description
About "Competitive Mathematics for Gifted Students" This series provides practice materials and short theory reminders for students who aim to excel at problem solving. Material is introduced in a structured manner: each new concept is followed by a problem set that explores the content in detail. Each book ends with a problem set that reviews both concepts presented in the current volume and related topics from previous volumes. The series forms a learning continuum that explores strategies specific to competitive mathematics in depth and breadth. Full solutions explain both reasoning and execution. Often, several solutions are contrasted. The problem selection emphasizes comprehension, critical thinking, observation, and avoiding repetitive and mechanical procedures. Ready to participate in a math competition such as MOEMS, AMC-8, Math Kangaroo in USA, or MATHCOUNTS? This series will open the doors to consistent performance. About Level 3 This level of the series is designed for students who can solve linear equations, are fluent with fractions, and can factor into primes. The problem sets are designed to strengthen specific areas where we know students have difficulty on AMC-8 and AMC-10. The level 2 books are a strong preparation for AMC-8 and a partial preparation for AMC-10. Level 2 consists of: Word Problems (volume 9), Operations and Algebra (volume 10), Arithmetic and Number Theory (volume 11), and Combinatorics (volume 12). On the contest list for this level: MATHCOUNTS, Math Kangaroo levels 5-6 and 7-8, MOEMS-M, Purple Comet, AMC-8. The computational complexity makes these problem sets useful for preparing AIME in the long run. About Volume 9 - Word Problems The problem sets offer a variety of applications of fractions, decimals and percentages. Some of the most dreaded categories of problems are thoroughly represented: mixtures, rates, and problems that engage comprehension. Mixture problems are among the problems that are underrepresented in other resources while being some of the more challenging word problems on AMC-10. The computational complexity familiarizes students with AIME level problems, albeit the easier problems on AIME. The full solutions provide insight in the optimal order of operations and a thorough description of the solving strategies.

Author: Cleo Borac
Publisher:
ISBN: 9780692245668
Category :
Languages : en
Pages : 114

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Book Description
2nd Edition - 2014 About "Competitive Mathematics for Gifted Students" This series provides practice materials and short theory reminders for students who aim to excel at problem solving. Material is introduced in a structured manner: each new concept is followed by a problem set that explores the content in detail. Each book ends with a problem set that reviews both concepts presented in the current volume and related topics from previous volumes. The series forms a learning continuum that explores strategies specific to competitive mathematics in depth and breadth. Full solutions explain both reasoning and execution. Often, several solutions are contrasted. The problem selection emphasizes comprehension, critical thinking, observation, and avoiding repetitive and mechanical procedures. Ready to participate in a math competition such as MOEMS, Math Kangaroo in USA, or Noetic Math? This series will open the doors to consistent performance. About Level 2 This level of the series is designed for students who know the multiplication tables, integer division with remainder and basic operations with decimals. Our level 1 books explain concepts that may need review before attempting level 2. Level 2 books are suitable for preparing Math Kangaroo 3-4 and MOEMS-E. Many of the concepts presented, however, reach much farther into the AMC-8 level. Level 2 consists of: Word Problems (volume 5), Operations (volume 6), Arithmetic (volume 7), and Combinatorics (volume 8). About Volume 7 - Arithmetic This volume provides material for the practicing problems with combinations of digits, cryptarithms, repdigits, palindromes, digit sum and digit product, sequences, sums of consecutive numbers, divisibility rules and remainders. Divisibility rules are not proven at this level, only applied (proofs in level 3 books). For some students, it may be necessary to work on our level 1 books before attempting level 2.

Author: Center for Gifted Education
Publisher: Taylor & Francis
ISBN: 1000501345
Category : Education
Languages : en
Pages : 264

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Book Description
The Math Curriculum for Gifted Students series: Provides gifted and advanced learners with challenging activities to extend their mathematical thinking. Includes lessons, activities, and extensions that are aligned to national standards. Is designed to provide high-ability learners advancement beyond the general curriculum. Is ideal for gifted classrooms or gifted pull-out groups. Was developed by the Center for Gifted Education at William & Mary. In Math Curriculum for Gifted Students (Grade 4), the 24 lessons cover mathematics content for grade 4 and are divided into five sections: number and operations in Base Ten, operations and algebraic thinking, number and operations-fractions, measurement and data, and geometry. Each lesson includes a teacher page that outlines the estimated time, key terms, materials, and objectives; a challenging activity to allow students to explore the concepts in depth; practice problems; and an assessment similar to standards-based grade-level standardized assessments.