Math 6b, 2022-23

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Room: HUM3013
Time: Sunday 9:15AM - 10:50AM
Grades: 6-7
Prerequisites: Math 5 or placement test
Material fee: $10.00

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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 09/18: Handout 0: Review homework  |  
  We solved odd-numbered problems 1-19 in class. For homework, please do even-numbered problems from 2 to 20.
  
• Assigned on 09/25: Handout 1: Logic 1: Knights and Knaves  |  
  
• Assigned on 10/2: Handout 2: Logic 2: AND, OR, IF  |  
  
• Assigned on 10/16: Handout 3: Logic 3: Truth Tables  |  
  
• Assigned on 10/23: Handout 4: Logic 4: More about IF  |  
  
• Assigned on 10/30: Handout 5: Sets  |  
  
• Assigned on 11/6: Handout 6: Set continued  |  
  
• Assigned on 11/20: Handout 7: Sets and subsets. Notation.  |  
  
• Assigned on 12/4: Handout 9: Intro to Probability  |  
  
• Assigned on 12/11: Handout 10: Factorials and Permutations  |  
  
• Assigned on 12/18: Handout 11: Monty-Hall Problem  |  
  
• Assigned on 01/8: Handout 12: Arithmetic Sequences  |  
  
• Assigned on 01/15: Handout 13: Geometric Sequences  |  
  This homework is very short -- but make sure to finish the previous homework about Arithmetic Sequences!
  
• Assigned on 01/22: Handout 14: Sum of Geometric Sequence. Infinite Sum.  |  
  
• Assigned on 01/29: Handout 15: Ruler and compass constructions.  |  
  
• Assigned on 02/5: Handout 16: Ruler and Compass Constructions 2  |  
  
• Assigned on 02/12: Handout 18: Coordinate geometry  |  
  
• Assigned on 02/26: Handout 19: Coordinate Geometry 2  |  
  
• Assigned on 03/5: Handout 20: Coloring and cutting  |  
  
• Assigned on 03/12: Handout 21: Odd and Even  |  
  
• Assigned on 03/19: Handout 22: Invariants  |  
  
• Assigned on 03/26: Handout 23: Semi-Invariants  |  
  
• Assigned on 04/2: Handout 24: Algebraic identities  |  
  
• Assigned on 04/16: Handout 25: Systems of Linear Equations  |  
  
• Assigned on 04/30: Handout 26: Inequalities  |  
  
• Assigned on 05/7: Handout 27: Long division  |