 Vertex Math Club

# 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

## Lesson 4 - September 29

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

## Lesson 5 – October 6

• Logic: Sums and averages.

## Lesson 6 – October 13

• 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.