Mathematical Circle Diaries, Year 2: Complete Curriculum for Grades 6 to 8

ISBN-13: 9781470437183 / Angielski / Miękka / 2018 / 351 str.

Anna Burago

Spis treści

• Preliminaries
• Session plans: Introduction
• Checkerboard problems
• Review: Math logic and other problem-solving strategies
• Invariants
• Proof by contradiction
• Decimal number system and problems on digits
• Binary numbers I
• Binary numbers II
• Mathematical dominoes tournament
• Pigeonhole principle
• Geometric pigeonhole principle
• Mathematical Olympiad I
• Combinatorics I. Review
• Combinatorics II. Combinations
• Mathematical auction
• Combinatorics III. Complements. Snake pit game
• Combinatorics IV. Combinatorial conundrum
• Magic squares and related problems
• Double counting, or there is more than one way to cut a cake
• Mathematical Olympiad II
• Divisibility I. Review
• Divisibility II. Relatively prime numbers
• GCF and LCM
• Divisibility III. Mathematical race game
• Mathematical auction
• Divisibility IV. Divisibility by 3 and remainders
• Divisibility V. Divisibility and remainders
• Graph theory I. Graphs and their applications
• Graph theory II. Handshaking theorem
• Graph theory III. Solving problems with graphs
• Mathematical Olympiad III
• Mathematical contests and competitions: Mathematical contests
• Mathematical auction
• Mathematical dominoes
• Mathematical snake pit
• Mathematical race
• Mathematical Olympiad
• Short entertaining math games
• More teaching advice: How to be a great math circle teacher
• What comes next?
• Solutions: Solutions
• Appendix to Session 6
• Bibliography.