It is important to encourage children’s learning and understanding of math at a young age, so they can develop a strong foundation in the subject! Our program can help students develop necessary skills to evolve and grow an appreciation for math.

Our instructors incorporate hands-on activities. Children learn best by doing, and our program incorporates plenty of hands-on activities that allow students to explore math concepts in a tactile way. For example, students may build shapes out of blocks, create patterns with manipulatives, or solve math problems using physical objects. Pre-K Students develop a natural curiosity for math and potentially see how it is relevant to their lives as they work with a variety of objects.

We strive to utilize games and puzzles. Games and puzzles are a fun way for students to practice math skills and develop problem-solving skills. Elementary school students may play math board games, and solve logic puzzles, which is associated with optimal development of concentration and memory skills.

It is our goal to ultimately make math relevant to students’ lives. We introduce middle school students to engaging math concepts. We focus on real-world math problems as we also prepare students to participate in math competitions. Our instructors begin to challenge students to solve more complex problems.

It is our goal to ultimately make math relevant to students’ lives. We introduce middle school students to engaging math concepts. We focus on real-world math problems as we also prepare students to participate in math competitions. Our instructors begin to challenge students to solve more complex problems.

A majority of our students take AP or honors math classes in High School as a way to challenge themselves and prepare for college. This program provides students with a strong foundation in advanced math concepts. We aid development of problem-solving skills and encourage our students to explore their interest in math, as we prepare students for college and beyond. Students will be assessed throughout the program through quizzes, exams, and projects. The assessments will be designed to measure students’ understanding of the material and their ability to apply their skills to real-world problems.

We teach math in a fun and engaging way. Math doesn’t have to be boring! This program is intended to provide students with a strong foundation in advanced math concepts and uses a variety of teaching methods to keep students interested. By providing a variety of interactive activities that demonstrate the power of math, we help students develop a lifelong appreciation for this essential subject. We are very grateful for confidence shown in us by our students and their parents as student success is at the center of our mission. Our educators, staff and I are intent upon instilling children with life skills that help create a sense of confidence, and better enable them to realize their full potential.

## PreK Level

### 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

### 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

- 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

- 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

## “Math is all about becoming a creative thinker, not a CALCULATOR”

## Level 3

- 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

## Pre-Algebra

- 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

## Algebra I

- Addition and Multiplication Properties.
- Algebraic Expressions.
- out expressions.
- Negative Numbers.
- Arithmetic operations with fractions.
- Absolute Value.
- Simplifying rational expressions.
- Operations with decimals fractions.
- Converting fraction to decimal.
- Rational and Irrational Numbers.
- Word Problems.
- Inequalities in one and two-steps.
- Exponents.
- Inequalities with absolute value.
- Probability.
- Square root. Perfect square.
- Pythagoras Theorem.
- Simplifying single radical expressions.
- Proportions.
- Percentage.
- Counting (Combinatorics).

## Algebra II

- Systems of Equations
- Quadratic Inequalities
- Simplifying Expressions
- Arithmetic and Geometric Sequences
- Graphs and Functions
- Coordinate Geometry. Line Equation. Distance between point. Middle point.
- Inequalities with Absolute Value
- Quadratics – Completing Square.
- Quadratics – Quadratic Equation Formula
- Graphs of Functions
- Polynomial Function and Graphs
- Exponent Functions and Graphs
- Radical and Absolute Value Functions and Graphs
- Function Composition, Inverse Function.
- Graphing Inequalities.

## Precalculus

- Vectors – Addition-Subtraction
- Vectors – Relativity of Velocity
- Vectors – Dot Products
- Trigonometry Definitions
- Trigonometry of a Right Triangle
- Trigonometry. Laws of Sine and Cosine
- Trigonometry Sums-Diff of Angles
- Trigonometry Double Half Angles
- Trigonometry Negative Angles
- Graphs of Functions Shifts, Reflections.
- Graphs of Trigonometric Functions
- Pascal Triangle
- Binomial Coefficients
- Domain and Range of Functions
- Inverse Trigonometric Functions
- Polynomial Synthetic Division, Remainder Theorem.
- Complex Numbers
- Even and Odd Functions
- Conic Sections – Ellipse, Hyperbola, Parabola

## Geometry

- Triangle Congruence Tests
- Isosceles, Equilateral, and Right Triangles
- Geometry Axioms
- Parallel Lines
- Parallelogram
- Bisectors concurrency and Perpendicular Bisectors concurrency
- Median and Altitude Concurrency
- Incircle and Circumcircle
- Circle, Chord, and Tangent
- Construction with Ruler and Compass
- Pythagorean Theorem
- Similar Triangles. Similar Shapes
- Big Thales Theorem
- Trapezoid
- Areas of triangle, rectangle, parallelogram and trapezoid
- Inscribed Angles
- Small Thales Theorem
- Cyclic Quadrilateral
- Ptolemy Theorem
- Heron’s Formula

## Mathematics Competition Prep

These classes are constructed in ways that specifically prepare individuals for The Math Kangaroo Competition as well as MathCounts, which are nationwide completions intended for elementary and middle school students. The topics and concepts covered in math prep courses vary depending on the level of the course and the specific goals of the course. However, some common topics include:

- Number theory
- Algebra
- Geometry
- Trigonometry concepts
- Calculus
- Statistics
- Problem-solving
- Critical thinking
- Logic-related tasks

- Induction
- Extremal Principle
- Modular Arithmetic
- Polynomials
- Pigeonhole Principle
- Sequences and Series
- Generating function
- Probability