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Curriculum for the Group “Theta”: 7th Grade 

 

 Lesson 1 - September 8

  • Math: Various problems involving fractions.
  • Logic: Principle of extreme.

Lesson 2 - September 15

  • Math: Exponents I  
  • Logic: Averages and differences. 

Lesson 3 - September 22

  • Math: Exponents II Negative exponent Scientific notation 
  • Logic: Olympiad problems.

Lesson 4 - September 29

  • Math: Fractional exponent 
  • Logic: Parity and handshakes.

Lesson 5 – October 6

  • Math: Radicals. Square root 
  • Logic: Sums and averages.

Lesson 6 – October 13

  • Math: Radicals. Cubic root.  
  • Logic: Powers of two.

Lesson 7 – October 20

  • Math: One-variable linear equations. Word problems. 
  • Logic: Area of eight smaller blocks divided by three cuts. 

Lesson 8 – October 27

  • Math: Multi-variable linear equations. Word problems. 
  • Logic: Assumption math competition games. 

Lesson 9 – November 3

  • Math: System of equations. Word problems 
  • Logic: Finding the original number given the sum of its digits. 

Lesson 10 – November 10

  • Math: Negative exponents and scientific notation.
  • Logic: Questions on Rules of divisibility by its number. 

Lesson 11 – December 1

  • Math: Percentage problems 
  • Logic: Questions on possibility. 

Lesson 12 – December 8

  • Math: Intervals. Direct Proportion. Inverse Proportion  
  • Logic: Solving the Cryptatithm.  

Lesson 13 – December 15

  • Math: Graphing Linear Equations. Slope and Intercept 
  • Logic: Questions on counting the numbers. 

Lesson 14 – January 12

  • Math: Linear Inequalities and their properties. 
  • Logic: Questions on combinations. 

Lesson 15 - January 19

  • Math: Intervals. Interval notation. 
  • Logic: Finding denominator of the sum of fractions. 

Lesson 16 - January 26

  • Math: Graphing inequalities. 
  • Logic: Questions on numbers that satisfy the equation. 

Lesson 17 – February 2

  • Math: Optimization Problems 
  • Logic: Questions on numbers multiplied by the product of its digits. 

Lesson 18 - February 9

  • Math: Intro to quadratic equations. 
  • Logic: Solving cryptarithms. 

Lesson 19 - February 16

  • Math: Quadratic equations. Part 1. 
  • Logic: Questions on equations. 

Lesson 20 - February 23

  • Math: Quadratic equations. Part 2. 
  • Logic: Competition questions on contradictions. 

Lesson 21 – March 2

  • Math: Squares of Binomials 
  • Logic: Competition questions. 

Lesson 22 - March 23

  • Math: Difference of Squares 
  • Logic: Competition questions. 

Lesson 23 - March 30

  • Math: Sum and difference of cubes 
  • Logic: Problems on combinatorics. 

Lesson 24 – April 6

  • Math: Quadratic equations II. Completing the Square. Discriminant 
  • Logic: Problems on flipping coins.  

Lesson 25 - April 13

  • Math: Arithmetic progressions. 
  • Logic: Angles. Perpendicular and parallel lines.

Lesson 26 - April 20

  • Math: Geometric progressions.  
  • Logic: Mathematical propositions.

Lesson 27 - April 27

  • Math: Factorials
  • Logic: Isosceles triangles and symmetry.

Lesson 28 – May 4

  • Math: Combinatorics
  • Logic: Congruence test for triangles.

Lesson 29 – May 11

  • Math: Combinatorics
  • Logic: Inequalities in triangles.

Lesson 30 – May 18

  • Math: Final quiz.
  • Logic: Segment and angle bisectors. Basic construction problems.