Menu Close

Summer Enrichment

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

Shakuntala Devi

Session Duration: Two hours

Pre-Algebra Curriculum

Session

Topic

Session 1

  • GCF – Greatest Common Factor

  • LCM – Least Common Multiple

  • LCD – Least Common Denominator

  • Arithmetic with Fractions (Addition, Subtraction)

Session 2

  • Arithmetic with Fractions (Multiplication, Division)

  • Divisibility Test

Session 3

  • Rounding

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

Session 4

  • Arithmetic with Negative and Positive Numbers

  • Order of Operations

Session 5


  • Solving one and two – step equations with one variable

Session 6

  • Word Problems Basics

Session 7


  • Mean 

  • Median

  • Mode

  • Range

Session 8

  • Converting Decimals to Percentages to Fractions

Session 9

  • Inequalities

Session 10

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

Algebra I Curriculum

Session

Topic

Session 1

  • Understanding Word Problems

Session 2

  • Monomials

  • Polynomials

  • Solving equations with one variable

Session 3

  • Ratios and Proportion

  • Cross multiplication

  • Bow tie method

Session 4

  • Graphing linear equations and linear inequalities

Session 5


  • Laws of Exponents

Session 6

  • Factoring

Session 7


  • Surface Area of polygons

  • Perimeter of polygons

Session 8

  • Finding percentage increase/decrease, discount, original price

  • Graphs and Charts

Session 9

  • Circles

Session 10

  • Radicals

Geometry Curriculum

Session

Topic

Session 1

  • Types of Angles

Session 2

  • Proofs

Session 3

  • Types of Triangles

Session 4

  • Pythagorean Theorem

Session 5


  • Congruence of Triangles

  • Similar Triangles

Session 6

  • Parallel lines

  • Angles

  • Transversals

Session 7


  • Parallel lines

  • Perpendicular lines

Session 8

  • Distance formula

Session 9

  • Parallelograms

Session 10

  • Circles

Algebra II Curriculum

Session

Topic

Session 1

  • Slope-intercept

Session 2

  • Solving linear inequalities

Session 3

  • Graphing linear inequalities

Session 4

  • Solving systems of equations

  • Solving equations with 2 variables

Session 5


  • Solving equations with 3 variables

Session 6

  • Probability

  • Counting Principles

  • Addition Principle

  • Multiplication Principle

Session 7


  • Probability

  • Permutations

  • Combinations

Session 8

  • Conic sections

  • Ellipse

Session 9

  • Conic sections (contd.)

  • Parabola

  • Hyperbola

Session 10

  • Matrices

Calculus Curriculum

Session

Topic

Session 1

  • Limits

  • Continuity

  • The Derivative

  • Techniques of Differentiation

Session 2

  • Implicit Differentiation

  • Chain Rule

  • Derivatives of Trigonometric Functions

Session 3

  • Review of Natural Logarithm

  • Derivatives of Natural Logarithm

Session 4

  • Antiderivatives:  Indefinite Integral

  • Integration by U-Substitution

Session 5


  • Differentiation of Inverse Trigonometric Functions

Session 6

  • Antiderivatives:  Definite Integral

Session 7


  • Trigonometric Sum formulas

Session 8

  • Computing Integrals by Completing the Square

Session 9

  • Integration by Parts

  • Reduction Formulas

Session 10

  • First Fundamental Theorem of Calculus

  • Second Fundamental Theorem of Calculus