Math 6a, 2022-23

---

Room: HUM3008
Time: Sunday 10:15AM - 11:50AM
Grades: 6-7
Prerequisites: Math 5 or placement test
Material fee: $10.00

---

Description: This is the seventh (7) year in the sequence of the mathematical courses offered by SchoolNova. While we will go over certain regular school topics such as absolute values, powers, square roots, rational and irrational numbers, algebraic expressions, linear equations and word problems leading to them, basics of probability, and geometry, the emphasis will be on developing student’s ability to logically explain their solutions and think “outside the box”. We will also introduce the concept of proofs and derive a few relatively straightforward ones. To make the class a bit more entertaining, we will run several math battles where students are divided into teams and compete to get the highest number of points for a given problem. Homework will be assigned every week and must be completed on time. There is absolutely no point in signing up for the class if a student does not have time to do the homework. If a student cannot solve a certain homework problem, they are expected to come up with a set of questions that would demonstrate an honest attempt at solving one. Students are expected to speak during the lesson, so class participation is highly encouraged.

---

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: Review of Math 5: We covered the first half of Math 5.  |  
  
• Assigned on 09/25: Review of Math 5: Second half of Math 5  |  
  
• Assigned on 10/2: Logic I: Knights and Knaves  |  
  
• Assigned on 10/16: Logic II: Logic Variables and Truth Tables  |  
  
• Assigned on 10/23: Logic III: Logic laws and operations  |  
  
• Assigned on 10/30: Logic IV: Computer logic  |  
  
• Assigned on 11/6: Sets I: Introduction  |  
  
• Assigned on 11/13: Sets II: Subsets  |  
  
• Assigned on 11/20: Permutations: Counting in order and without repetition  |  
  
• Assigned on 12/4: Combinations: When the order does not matter  |  
  
• Assigned on 12/11: Probability: Let's play casino  |  
  
• Assigned on 12/18: Math Battle: No homework, enjoy the winter break  |  
  
• Assigned on 01/8: Arithmetic sequences: Equally spaced set of numbers  |  
  
• Assigned on 01/15: Geometric sequences: Set of numbers with a common ratio  |  
  
• Assigned on 01/22: Systems of linear equations: Factorization and the substitution method  |  
  
• Assigned on 01/29: Coordinate Geometry I: From linear equations to geometry  |  
  
• Assigned on 02/5: Coordinate Geometry II: Distance between two points  |  
  
• Assigned on 02/12: Coordinate Geometry III: Equation of a circle  |  
  
• Assigned on 02/26: Coordinate Geometry IV: Functions and transformations  |  
  
• Assigned on 03/5: Math Battle: Testing our knowledge!  |  
  
• Assigned on 03/12: Euclidean geometry I: No homework this week  |  
  
• Assigned on 03/19: Euclidean geometry I (continued): Using axioms to prove theorems  |  
  
• Assigned on 03/26: Euclidean geometry II: Congruence of triangles  |  
  
• Assigned on 04/2: Euclidean geometry II (continued): Congruence of triangles  |  
  
• Assigned on 04/16: Ruler and compass constructions: Some nice constructions  |  
  
• Assigned on 04/23: Ruler and compass constructions II: Triangles and circles  |  
  
• Assigned on 04/30: Ruler and compass constructions III: Origami  |  Square and triangle: You can print this to do the homework problems  |  
  
• Assigned on 05/7: Game theory: Using math to win at games!  |  
  The exercises are not homework, although they are fun! I recommend that you try a few. Your homework is to prepare for the Review tournament that will begin next Sunday.