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Summer Enrichment

“What is mathematics? It is only a systematic effort of solving puzzles posed by nature.”

Shakuntala Devi

Session Duration: Two hours
One Session per week

Pre-Algebra Curriculum

Week

Topic

Week 1

  • GCF – Greatest Common Factor

  • LCM – Least Common Multiple

  • LCD – Least Common Denominator

  • Arithmetic with Fractions (Addition, Subtraction)

Week 2

  • Arithmetic with Fractions (Multiplication, Division)

  • Divisibility Test

Week 3

  • Rounding

  • Arithmetic with Decimals (Addition, Subtraction, Multiplication, Division)

Week 4

  • Arithmetic with Negative and Positive Numbers

  • Order of Operations

Week 5


  • Solving one and two – step equations with one variable

Week 6

  • Word Problems Basics

Week 7


  • Mean 

  • Median

  • Mode

  • Range

Week 8

  • Converting Decimals to Percentages to Fractions

Week 9

  • Inequalities

Week 10

  • Solving Inequalities (Addition, Subtraction, Multiplication, Division)

Algebra I Curriculum

Week

Topic

Week 1

  • Understanding Word Problems

Week 2

  • Monomials

  • Polynomials

  • Solving equations with one variable

Week 3

  • Ratios and Proportion

  • Cross multiplication

  • Bow tie method

Week 4

  • Graphing linear equations and linear inequalities

Week 5


  • Laws of Exponents

Week 6

  • Factoring

Week 7


  • Surface Area of polygons

  • Perimeter of polygons

Week 8

  • Finding percentage increase/decrease, discount, original price

  • Graphs and Charts

Week 9

  • Circles

Week 10

  • Radicals

Geometry Curriculum

Week

Topic

Week 1

  • Types of Angles

Week 2

  • Proofs

Week 3

  • Types of Triangles

Week 4

  • Pythagorean Theorem

Week 5


  • Congruence of Triangles

  • Similar Triangles

Week 6

  • Parallel lines

  • Angles

  • Transversals

Week 7


  • Parallel lines

  • Perpendicular lines

Week 8

  • Distance formula

Week 9

  • Parallelograms

Week 10

  • Circles

Algebra II Curriculum

Week

Topic

Week 1

  • Slope-intercept

Week 2

  • Solving linear inequalities

Week 3

  • Graphing linear inequalities

Week 4

  • Solving systems of equations

  • Solving equations with 2 variables

Week 5


  • Solving equations with 3 variables

Week 6

  • Probability

  • Counting Principles

  • Addition Principle

  • Multiplication Principle

Week 7


  • Probability

  • Permutations

  • Combinations

Week 8

  • Conic sections

  • Ellipse

Week 9

  • Conic sections (contd.)

  • Parabola

  • Hyperbola

Week 10

  • Matrices

Calculus Curriculum

Week

Topic

Week 1

  • Limits

  • Continuity

  • The Derivative

  • Techniques of Differentiation

Week 2

  • Implicit Differentiation

  • Chain Rule

  • Derivatives of Trigonometric Functions

Week 3


  • Review of Natural Logarithm

  • Derivatives of Natural Logarithm

Week 4

  • Antiderivatives:  Indefinite Integral

  • Integration by U-Substitution

Week 5


  • Differentiation of Inverse Trigonometric Functions

Week 6

  • Antiderivatives:  Definite Integral

Week 7


  • Trigonometric Sum formulas

Week 8

  • Computing Integrals by Completing the Square

Week 9

  • Integration by Parts

  • Reduction Formulas

Week 10

  • First Fundamental Theorem of Calculus

  • Second Fundamental Theorem of Calculus