Math 8c, 2021-22

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Room: EarthScience069
Time: Sunday 11:10AM - 12:40PM
Grades: 8-9
Prerequisites: Math 7 or placement test
Material fee: $10.00

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Description: This is the ninth (9) year in the sequence of the mathematical courses offered by SchoolNova.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 many interesting problems from all areas of mathematics. However, the main emphasis will be on teaching students to solve problems that require some knowledge of basic topics and 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 09/26: Handout 01: Review 1  |  
  Review I: Algebra, Quadratic Equations
  
• Assigned on 10/3: Handout 02: Review II  |  
  Review II: Quadratic equations, inequalities, trigonometry
  
• Assigned on 10/17: Handout 03: Combinatorics review  |  
  
• Assigned on 10/24: Handout 04: Pascal's triangle  |  
  
• Assigned on 10/31: Handout 05: Formula for binomial coefficients  |  
  
• Assigned on 11/7: Handout 06: Binomial formula  |  
  
• Assigned on 11/14: Handout 07: More combinatorics  |  
  
• Assigned on 11/21: Handout 08: Logic 1: Introduction to symbols and formulas  |  
  
• Assigned on 12/5: Handout 09: Logic 2: Logic Gates  |  
  
• Assigned on 12/12: Handout 10: Logic 3: Flip-flops. Conditionals.  |  Notes: Class notes on logic gates from 2020-21  |  
  
• Assigned on 12/19: Handout 11: Math Battle  |  
  Today we had a Math Battle -- and it means, no special homework for the holidays, but please try to solve the problems you didn't do in class!
  
• Assigned on 01/9: Handout 12: Logic 4: Proofs  |  
  
• Assigned on 01/16: Handout 13: Logic 5: Quantifiers  |  
  
• Assigned on 01/23:
  We finished going over Logic and there Is now new homework today. Please look over the previous handouts, and finish the problens/homework assignments you didn't finish or submit yet.
  
• Assigned on 01/30: Handout 14: Geometry 1: Axioms  |  
  
• Assigned on 02/6: Handout 15: Geometry 2: Theorems. Parallel Lines. Triangles.  |  
  
• Assigned on 02/13: Handout 16: Geometry 3: Triangle Inequality  |  
  
• Assigned on 02/27: Handout 17: Euclidean Geometry 4: Quadrilaterals.  |  
  
• Assigned on 03/6: Handout 18: Geometry 5: Trapezoid. Circles. Inscribed Angles.  |  
  
• Assigned on 03/13:
  Euclidea: For the next homework, please finish Euclidea levels alpha and beta. Make sure you can get ALL POINT available -- and if you can't seem to find a solution that gives you max points, feel free to search for a hint over Google -- but you must understand WHY the hint works!
  
• Assigned on 03/20: Handout 19: Geometry 6: Similar Triangles  |  
  
• Assigned on 03/27: Handout 20: Number Theory 1: Introduction to Divisibility  |  
  
• Assigned on 04/3: Handout 21: Number Theory 2: Euclid's Algorithm  |  
  
• Assigned on 04/10:
  There is no new homework. Please go over the problems from the last one and make sure that you understand how Euclid's algorithms works and how it can be used to solve equations in whole numbers.
  
• Assigned on 05/1: Handout 22: Number Theory 3: Prime Factorization  |  
  
• Assigned on 05/8: Handout 23: Number Theory 4: Congruences  |  
  
• Assigned on 05/15: Handout 24: Number Theory 5: Conguences Continued  |