Mathematics

About Our Math Programs

Our math program offers classes from Preschool through 10th Level. The higher level courses cover both algebra and geometry, introduce new topics and offer students challenging problems. Our curriculum integrates advanced subjects into the standard school program, and includes Math SAT 2 preparation. We aspire to make your child fall in love with math, while helping them succeed in school and on standardized tests.

Preschool Level Program

Prerequisite: 4 years of age – this program is a prerequisite for the Kindergarten Level Program

  • Name numbers, count 0-10
  • Recognize the attributes of size, length, area, weight, and capacity of everyday objects
  • Compare numbers. Understand addition and subtraction as putting together or taking away
  • Identify colors
  • Identify relative position of objects in space
  • Sort, categorize, and classify objects
  • Identify various two-dimensional shapes (squares, circles, triangles, rectangles)
  • Time – put pictures in order. Before and after
  • Compare three-dimensional shapes with the shapes of real objects
  • Patterns
  • Analogies
  • Develop attention, memory and fine motor skills
  • Simple logic problems
  • Game and blocks
 

Kindergarten Level Program

Prerequisite: this program is a prerequisite for the Level 1 Program

  • Count to 100 by ones and by tens
  • Numbers name and counting up to 20. Number line. Zero
  • Decompose numbers less than or equal to 10 into pairs in all possible ways (e.g., 5=5+0, 5=1+4, 5=2+3)
  • Compare numbers
  • Separate numbers 11-19 in groups of 10 and number from 1-9
  • Solve addition and subtraction word problems, and add and subtract within 10. Use number line
  • Compare objects by measurable attributes, such as length or weight
  • Identify and describe shapes. Compare simple shapes to form larger shapes
  • Sort, categorize, and classify objects. Introduction to set
  • Name relative positions of objects
  • Patterns
  • Analogies
  • Develop attention, memory and fine motor skills
  • Simple logic problems
  • Games. Blocks
 

Level 1 Program

  • Place value: ones, tens. Graphic form of numbers larger than 10
  • Different types of word problems involving addition and subtraction up to 20
  • Introduction to multiplication and division. Pifagore table. Simple word problems involving multiplication
  • Addition and subtraction for numbers more than 20 without regrouping
  • Time
  • Introduction to simple equations of the form x-a=b, x+a=b, a-x=b. Balance. Parts of a whole
  • Challenge analogies and patterns
  • Geometry. 3D geometry
  • Logic problems
  • Combinatory problems
  • Games. Blocks. Tangram

Level 2 Program

  • Addition and subtraction with regrouping
  • Place value: ones, tens, hundreds
  • Multiplication and division. Word problems involving multiplication
  • Different types of word problems involving several steps of addition and subtraction. Expressions with variables – putting the basic word problems into expression form
  • Order of operations
  • Simple equations of the form x-a=b, x+a=b, a-x=b, ax=b
  • Algorithms
  • Introduction to sets
  • Combinatorial problems
  • Logic problems
  • Geometry. 3D geometry

Mathematics is the language in which the gods talk to people.

Plato, c. 427 BC – c. 347 BC

Mathematician and Philosopher

Level 3 Program

  • Order of operations, including parentheses
  • Equations of the form ax+b=c and equations with parentheses
  • Division with remainder
  • Sets – Union intersection and Venn diagrams
  • Logic
  • Unit rate problems
  • Proper and improper fractions
  • Math modeling – problem solving
  • Triangles, sum of angles in triangle
  • Lines, segments, rays, parallel and perpendicular lines
  • Parallelogram, trapezoid and rhombus
  • Perimeter and area of the planar shapes
  • Angels
  • Money (as a model for decimals)
  • Negative numbers
  • Long multiplication and division

Level 4 Program

Pre-Algebra I

  • LCM, GCD, Prime factors
  • Venn Diagrams
  • Negative numbers
  • Factoring by grouping
  • Multiplying polynomials
  • Taking the common factor out of expressions
  • Solving multi-steps equations
  • Graphing inequalities
  • Word problems with speed, time, and distance
  • Comparing fractions and equations with fractions
  • Mixed operations with fractions
  • Absolute value and equations with absolute value
  • Proportions and equations with proportions
  • Algebraic expressions
  • Functions
  • Linear function
  • Exponents and Exponential Function
  • Cartesian Coordinates
  • Parallelogram properties
  • Circle
  • Congruence
  • Line of Symmetry
  • Triangle Congruence tests
  • Trapezoid and triangle areas

Level 5 Program

Algebra I

  1. Addition and Multiplication Properties.
  2. Algebraic Expressions.
  3. out expressions.
  4. Negative Numbers.
  5. Arithmetic operations with fractions.
  6. Absolute Value.
  7. Simplifying rational expressions.
  8. Operations with decimals fractions.
  9. Converting fraction to decimal.
  10. Rational and Irrational Numbers.
  11. Word Problems.
  12. Inequalities in one and two-steps.
  13. Exponents.
  14. Inequalities with absolute value.
  15. Probability.
  16. Square root. Perfect square.
  17. Pythagoras Theorem.
  18. Simplifying single radical expressions.
  19. Proportions.
  20. Percentage.
  21. Counting (Combinatorics).

Level 6 Program

Algebra II Part 1

  1. Systems of Equations
  2. Quadratic Inequalities
  3. Simplifying Expressions
  4. Arithmetic and Geometric Sequences
  5. Graphs and Functions
  6. Coordinate Geometry. Line Equation. Distance between point. Middle point.
  7. Inequalities with Absolute Value
  8. Quadratics – Completing Square.
  9. Quadratics – Quadratic Equation Formula
  10. Graphs of Functions
  11. Polynomial Function and Graphs
  12. Exponent Functions and Graphs
  13. Radical and Absolute Value Functions and Graphs
  14. Function Composition, Inverse Function.
  15. Graphing Inequalities.

“Surely it is not knowledge, but learning; not owning but earning; not being there, but getting there; that gives us the greatest pleasure.”

Carl Friedrich Gauss, 1777 – 1855

Mathematician and Physicist

Level 7 Program

Algebra II Part 2 – Precalculus Part 1

  1. Vectors – Addition-Subtraction
  2. Vectors – Relativity of Velocity
  3. Vectors – Dot Products
  4. Trigonometry Definitions
  5. Trigonometry of a Right Triangle
  6. Trigonometry. Laws of Sine and Cosine
  7. Trigonometry Sums-Diff of Angles
  8. Trigonometry Double Half Angles
  9. Trigonometry Negative Angles
  10. Graphs of Functions Shifts, Reflections.
  11. Graphs of Trigonometric Functions
  12. Pascal Triangle
  13. Binomial Coefficients
  14. Domain and Range of Functions
  15. Inverse Trigonometric Functions
  16. Polynomial Synthetic Division, Remainder Theorem.
  17. Complex Numbers
  18. Even and Odd Functions
  19. Conic Sections – Ellipse, Hyperbola, Parabola

Geometry (Level 6 & 7)

  1. The sum of angles in a triangle Theorem
  2. Equilateral and isosceles triangles
  3. Triangle Congruency Tests
  4. Triangle Bisector, Median and Altitude
  5. Parallel Lines. Five Euclid Geometry Postulates (Axioms)
  6. Parallelogram, Rhombus. Theorems
  7. Parallelogram and Triangle Areas
  8. Constructions with Compass and Ruler
  9. Triangle exterior angle Theorem
  10. Pythagoras Theorem
  11. Regular n-gon. Properties, Theorems
  12. Trapezoid. Trapezoid Area
  13. Concurrency of Triangle Bisectors, Medians, Altitudes and Middle Lines. Theorems
  14. Circumcircle, Incircle. Euler’s formula
  15. Sum of angles in a convex polygon and in a five-star
  16. A circle inscribed into an angle. Chord Theorem
  17. An angle standing on the diameter. Thales’ Theorem
  18. Constriction of a rectangle, rhombus and n-gon with a ruler and a compass
  19. Circle, Chord, Secant, Tangent
  20. Inscribed Angle, Chord-Tangent, Tangent-Secant, Chord-Chord Theorems
  21. Similar Triangles. AAA, SAS Theorems
  22. Triangle middle line. Triangle middle line Theorem
  23. Triangle Simson Line Theorem
  24. Cyclic Quadrilateral. Properties. Theorems
  25. Ptolemy Theorems
  26. Power of a point Theorem
  27. Heron Formula of Triangle Area. Five other formulas of the Triangle Area
  28. Bisector Theorem

Level 8 Program

Precalculus Part 2 – SAT Subject Test Math Level 2 (Using Barron’s SAT 2 Book)

  1. Logarithms Properties
  2. Logarithms Graphs
  3. Exponents Properties
  4. Exponents & Logarithm Equations. SAT2 Test
  5. Rational Functions and Asymptotes.
  6. SAT2 Formulas – Review. SAT2 Test
  7. Review Complex Numbers.
  8. Review Inversed Functions, Function Composition. SAT2 Test
  9. Review Arithmetic and Geometric Sequences and Series. SAT2 Test
  10. Matrices, Determinant. SAT2 Test
  11. 3D Geometry. SAT2 Test
  12. Review Conic Sections. SAT2 Test
  13. Review Linear, Quadratic, Trigonometry Functions. SAT2 Test
  14. Review Conic Sections (Ellipse, Parabola, Hyperbola). SAT2 Test
  15. Review Quadratic Inequalities, Counting (Combinatorics). SAT2 Test
  16. Basic Statistics. SAT2 Test
  17. Review Probability. SAT2 Test

Level 9 Program

  • Elements of math logic and Set Theory. Bijection and injection. Infinite sets and cardinality
  • Functions and graphs. Even, odd, periodic, monotonic functions
  • Exponential function. Logarithms. Equations and inequalities with exponents and logarithms
  • Polynomials; division of polynomials.Vieta formulas
  • Complex numbers
  • Mathematical induction

Level 10 Program

  • Sets and functions. Bijections
  • Infinite sets and cardinality
  • Equivalence relations
  • Solving equivalences
  • Euler function

A free first trial lesson is offered for all subjects. If you wish to sign up for any of our programs, a non-refundable payment for the month is due on the first lesson of the month. We accept personal checks or cash only.

Math Tuition Fees:

$35 – 60 / 90

60 or 90 minute math lessons are available. The duration of the class varies by level.