Math 8a, 2022-23

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Room: HUM3013
Time: Sunday 11:10AM - 12:45PM
Grades: 8-9
Prerequisites: Math 7 or placement test
Material fee: $10.00

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Description: Math 8 is one of the Stony Brook SchoolNova enrichment program classes. This year, we will study combinatorics, logic and proof theory, axiomatic Euclidean geometry with a special emphasis on proving the results from basic axioms, and number theory. In addition, as usual, we will also solve a number of interesting problems from all areas of mathematics. However, the main emphasis will be on teaching students to solve problems that, while they do require some knowledge of basic topics, are not straightforward exercises but require some creativity. The handouts containing the assignments and sometimes the basic theory will be given to each class. In addition, each student will need a binder, notebook, and pencil.

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Homeworks

These homeworks are copyrighted material, posted here for use by SchoolNova students and parents. Everyone else is welcome to print a copy of these materials for their personal use; any redistribution or commercial use is prohibited

• Assigned on 09/18: Handout 0: Review homework  |  
  
• Assigned on 09/25: Handout 1: Combinatorics Review  |  
  
• Assigned on 10/2: Handout 2: Pascal's Triangle  |  
  
• Assigned on 10/16: Handout 3: Formula for Binomial Coefficients  |  
  
• Assigned on 10/23: Handout 4: Poker Probabilities. Binomial Formula.  |  
  
• Assigned on 10/30: Handout 5: Logic 1: Introduction to Symbols and Formulas  |  
  
• Assigned on 11/6: Handout 6: Logic 2: Logic Gates  |  
  
• Assigned on 11/20: Handout 7: Logic 3: SR Flip-Flops. Conditionals.  |  
  
• Assigned on 12/4: Handout 9: Logic 4: Proofs  |  
  
• Assigned on 12/11: Handout 10: Logic 5: Proofs Continued  |  
  
• Assigned on 12/18:
  No handout today: we worked on Math Kangaroo.
  
• Assigned on 01/8:
  No handout today: we worked on AMC 8.
  
• Assigned on 01/15: Handout 11: Logic 6: Quantifiers  |  
  
• Assigned on 01/22: Handout 12: Geometry 1: Axioms  |  
  
• Assigned on 01/29: Handout 13: Geometry 2: First Theorems. Triangles.  |  
  
• Assigned on 02/5: Handout 14: Geometry 3: Triangle Inequalities  |  
  
• Assigned on 02/12: Handout 15: Complete Geometry  |  
  For homework, please solve problems 28-32. Also, do as much as you can from levels alpha and beta in Euclidea.
  
• Assigned on 02/26:
  For homework, solve problems 33-37 from the Geometry handout.
  
• Assigned on 03/5: Handout: Geometry Handout - updated  |  
  For homework, please solve problems 38, 40, 42, 43, 45, 46.
  
• Assigned on 03/12: Handout 16: Number Theory 1: Introduction to Divisibility  |  
  
• Assigned on 03/19: Handout 17: Number Theory 2: Euclid's Algorithm  |  
  
• Assigned on 03/26: Handout 18: Number Theory 3: Corollaries of Euclid's Algorithm  |  
  
• Assigned on 04/2: Handout 19: Number Theory 4: Congruences  |  
  
• Assigned on 04/16: Handout 20: Number Theory 5: Congruences Continued  |  
  
• Assigned on 04/30: Handout 21: Number Theory 6: Chinese Remanider Theorem  |  
  
• Assigned on 05/7: Handout 22: Number Theory 7: Fermat's Little Theorem  |