Math 6a, 2023-24

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Room: HUM3013
Time: Sunday 9:15AM - 10:50AM
Grades: 6-7
Prerequisites: math5 or placement test
Material fee: $0.00

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Description: Math 6 is one of the Stony Brook SchoolNova enrichment program classes. This year, we will study logic and logical expressions, set theory foundations, combinatorics, permutations, number of subsets, etc., basics of probability, geometry and ruler and compass constructions, coordinate geometry, and algebra, including systems of equations. 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 which, 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 09/17: Welcome Letter: Welcome Letter  |  Handout 0: Review  |  
  During the first class we reviewed the material from Math 5. The review sheet is posted here. We solved problems 1, 2, 5, 9. For homework, please solve problems 3, 4, 6, 8, 11, 13.
  
• Assigned on 09/24:
  Please solve problems 10, 11, 16, 17, 20, 22, 25, 26 from the previous handout.
  
• Assigned on 10/1: Handout 1: Logic 1: Knights and Knaves  |  
  
• Assigned on 10/15: Handout 2: Logic 2: Logical Operations  |  
  
• Assigned on 10/22: Handout 3: Truth Tables  |  
  
• Assigned on 10/29: Handout 4: Logic 4: If.  |  
  
• Assigned on 11/5: Handout 5: Sets  |  
  
• Assigned on 11/12: Handout 6: Set Continued  |  
  
• Assigned on 11/19: Handout 7: Sets and Subsets.  |  
  
• Assigned on 12/3: Handout 8: Factorials and Permutations  |  
  This is an optional homework, it was not assigned during this week, but the theoretical part of the handout is important.
  
• Assigned on 12/10: Handout 9: Let's Play Casino!  |  
  
• Assigned on 12/17: Handout 10: Math Battle  |  
  
• Assigned on 01/14: Handout 11: Factorials and Permutations. Monty-Hall Problem.  |  
  
• Assigned on 01/21: Handout 12: Ruler and Compass Constructions  |  
  
• Assigned on 01/28:
  There is no new handout -- please review the constructions and the homework from Handout 12, and make sure that you finish all the problems!
  
• Assigned on 02/4: Handout 13: Ruler and Compass Construction 2  |  
  If you like ruler and compass constructions, you can also play with euclidea.xyz -- free website that guides you though a series of problems on constructions.
  
• Assigned on 02/11: Handout 14: Ruler and Compass and Origami  |  
  
• Assigned on 02/25: Handout 15: Arithmetic Sequences  |  
  
• Assigned on 03/3: Handout 16: Geometric Sequences  |  
  
• Assigned on 03/10: Handout 17: Sum of Geometric Sequence  |  
  
• Assigned on 03/17: Handout 18: Coordinate Geometry: Introduction  |  
  
• Assigned on 04/7: Handout 19: Coordinate Geometry: Transformations  |  
  
• Assigned on 04/14: Handout 20: Coloring and cutting  |  
  
• Assigned on 04/21: Handout 21: Odd and Even  |  
  
• Assigned on 05/5: Handout 22: Invariants  |