## About Our Math Programs

Our math program offers classes from Preschool through 10^{th}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 SAT1 and SAT2 preparation. We aspire to make your child fall in love with math, while helping them succeed in school and on standardized tests.

## Preschool program (Math 4-5 years of age)(prerequisite for Math 0)

- Numbers name and counting up to 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

## Math 0 (Kindergarten) (prerequisite for Math 1)

- 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

## Math 1

- 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

## 2 – Level

- Addition and subtraction of two-digit and three-digit numbers
- Word problems – Math modeling
- Multiplication and division
- Order of operations
- Algorithms
- Geometry – Lines, Angles, 3D Shapes
- Logic problems
- Equations x-a = b / x+a = b / a –x = b / ax = b
- Combinatorial problems

### Mathematics is the language in which the God speak to people.

Plato, c. 427 BC – c. 347 BC

Mathematician and Philosopher

## 3 – Level

- Sets – Union intersection and Venn diagrams
- Order of operations
- Division with remainder
- Equations
- Logic
- Proper and improper fractions
- Unit rate problems
- Math modeling – problem solving
- Lines, segments, rays, parallel and perpendicular lines
- Triangles, sum of angles in triangle
- Perimeter and area of the planar shapes
- Parallelogram, trapezoid and rhombus

## 4 – Level

- Order of operations
- Prime numbers
- Negative numbers
- Fractions
- Divisibility tests
- Symmetries
- Angles
- Various special quadrilaterals
- Math modeling
- Equations

## 5 – Level

- Prime factorization
- LCM and GCD
- Algebraic laws
- Negative numbers
- Equations with negative numbers
- Decimal fractions
- Word problems – math modeling
- Math statements: Exists, For All, If and Only If
- Powers and Exponent
- Powers of 2 and binary numbers
- Dirichlet’s Box Principle (Pigeonhole Principle)
- Part of a number
- Divisibility tests
- Parallel lines
- Congruence test for triangles
- Pythagorean theorem
- Probability

## 6 – Level

- Logic
- Set theory
- Powers and exponent
- Square roots
- Rational and irrational numbers
- Arithmetic and geometric progression
- Construction with ruler and compass
- Coordinate plane and graphs of functions
- Equations
- Math, modeling – word problems

### “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

## 7 – Level

- Combinatorics
- Vectors
- Basic trigonometry
- Transformations: Reflection, rotation and composition
- Quadratic Equations. Vieta Theorem. Parabola
- Inequalities
- Fibonacci numbers

## 8 – Level

- Combinatorics. Binomial formula
- Divisibility. Euclid’s algorithm
- Euclidean Geometry

## 9 – Level

- 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

## 10 – Level

- 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.