# Mathematics

 Duration 8 sessions per month Time commitment Individual Course language English, Russian Format Group-online Price \$25 per session

## Course curriculum

##### AGE 8: Place values, introduction to fractions, multiplication/division lesson

Topics Covered:

• Understanding what multiplication and division is and why it is used
• Introduction to multiplication tables
• Multiplying by 10, 100 and 1,000
• Rounding to the nearest 10’s, 100’s and 1,000’s place
• Introduction to fractions and how to use them
• Addition of multiple large numbers
• Subtraction with regrouping with 10s, 100s and 1,000s
• Addition and subtraction word problems
• Addition and subtraction 2 step word problems
• Introduction of perimeter and area of simple shapes
• Perimeter of polygons with missing side lengths
• Telling time using a clock
• Arithmetic patterns
• Commutative property of addition and multiplication
• Associative property of addition and multiplication

## What you will learn

After these lessons, students will be able to:

• Understand what multiplication and division is and the correct way to use it.
• Easily multiply any number by 10, 100 and 1,000.
• Round any number to the nearest 10’s, 100’s and 1,000’s with ease.
• Identify fractions using shapes.
• Add multiple large numbers within a single problem.
• How to subtract properly using the regrouping method.
• How to solve 2 step addition and subtraction word problems.
• How to find perimeter and area of simple shapes.
• How to find any missing side length of a polygon knowing its perimeter.
• How to easily read time using a clock.
• How to find missing numbers in arithmetic patterns.
• Understand the commutative and associative property of addition and multiplication and how to use it to make math problems simpler

These skills are key to getting exceptional grades on the state exams, classroom tests, homework, and class assignments!

Course Author:Daniel Flyus

## GET A FREE CONSULTATION

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 Duration 8 sessions per month Time commitment Individual Course language English, Russian Format Group-online Price \$25 per session

## Multiplication, Division & Decimals Lesson.

AGE GROUPS 9 y.o.

TOPICS COVERED

• Remembering multiplication facts
• Remembering division facts
• Recognizing and setting equivalent fractions
• How to write any spoken number to one billion and learn the value of each digit
• How to speak any number to one billion
• Multiplying and dividing decimals by 10, 100, and 1,000
• Short multiplication (256*7)
• Longer multiplication (325*432)
• Division with a remainder
• Division with full decimal answer
• Inequalities using less than or greater than
• How to determine prime or composite numbers
• How to find simple percentages of a number
• How to graph and read coordinates on a coordinate plain.

## What you will learn

After these lessons, students will be able to:

• Better memorize and use multiplication and division facts.
• Compare and make their own equivalent fractions to solve problems.
• Properly pronounce and write long numbers up to one billion.
• Identify all the place values in any number up to one billion.
• Easily divide and multiply numbers and decimals by 10, 100, and 1,000.
• Divide and multiply large numbers with ease.
• Properly use inequality signs to compare numbers.
• Determine whether a number is prime or composite.
• Find simple percentages of numbers.
• How to easily graph coordinates on a coordinate plane within seconds.
• How to find the location of coordinates on a plane within seconds.

These skills are key to getting exceptional grades on the state exams, classroom tests, homework, and class assignments!

Course Author:Daniel Flyus

## GET A FREE CONSULTATION

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 Duration 8 sessions per month Time commitment Individual Course language English, Russian Format Group-online Price \$25 per session

## FRACTIONS LESSONS.

AGE GROUPS 10-11 Y.O.

TOPICS COVERED

• Adding and subtracting fractions with like denominators
• Adding and subtracting fractions with unlike denominators
• Multipling and dividing fractions
• Changing improper fractions to mixed numbers
• Changing mixed numbers to improper fractions
• Changing fractions to decimals
• Changing decimals to fractions
• Converting percents into decimals into fractions and vice versa
• Finding percents of different numbers
• Solving word problems using decimals, percents and fractions
• Comparing decimals, percents and fractions
• Understanding place values
• Rounding numbers to any place value
• Understanding exponents and how to use them
• Properly using the order of operation easily to solve problems
• Finding area and perimeter for many different shapes
• Finding the surface area and volume for three-dimensional shapes

## What you will learn

After these lessons, students will be able to:

• Quickly and easily use fractions, decimals, and percents to solve problems
• Add, subtract, divide and multiply fractions with ease
• Compare and convert percents, fractions and decimals
• Round numbers to the correct place values
• How to properly use the order of operations to solve long problems easily.
• How to find area, perimeter, volume and surface area of both 2D and 3D shapes

These skills are key to getting exceptional grades on the state exams, classroom tests, homework, and class assignments!

Course Author:Daniel Flyus

## GET A FREE CONSULTATION

Get a free evaluation and know exactly where you stand and where to go next.

 Duration 8 sessions per month Time commitment Individual Course language English, Russian Format Group, Online, Private Price \$25 - \$50 per session

## What you will learn

After completing this course your child will be able to:

• evaluate exponents
• wright powers of ten with exponents
• find the missing exponents or base
• understand negative exponents
• evaluate negative exponents
• find a square roots of perfect squares
• estimate square roots
• identify number as whole, integer or rational
• do arithmetic operations with whole numbers , integers and rational numbers
• compare whole numbers, integers and rational numbers
• find all prime factorization
• find the greatest common factor
• find the last common multiple

Course Author: Oksana Sinyukova/Smit

## GET A FREE CONSULTATION

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 Duration 8 sessions per month Time commitment Individual Course language English, Russian Format Group, Online, Private Price \$25 - \$50 per session

## What you will learn

After completing this course your child will be able to:

• order and compare fractions
• evaluate equal fractions
• compare fractions with like numerations or denominators
• add and subtract fractions with like denominators
• add and subtract fractions with unlike denominators
• order decimals on a number line
• convert fractions and mixed numbers to decimals

Course Author: Oksana Sinyukova/Smit

## GET A FREE CONSULTATION

Get a free evaluation and know exactly where you stand and where to go next.

 Duration 8 sessions per month Time commitment Individual Course language English, Russian Format Group, Online, Private Price \$25 - \$50 per session

## What you will learn

After completing this course your child will be able to:

• write inequalities with a number line
• multiply numbers up to three digits
• divide (long division)
• find the remainder
• identify nubber as prime or composite
• wright vaiable exressions

Course Author: Oksana Sinyukova/Smit

## GET A FREE CONSULTATION

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 Duration 8 sessions per month Time commitment Individual Course language English, Russian Format Group, Online, Private Price \$20 per class

## What you will learn

After completing this course your child will be able to:

• identify a digit up to a 1000000
• compare numbers up to 1000000
• round numbers up to a 10000
• find a missing number in number patterns
• add and subtract numbers up to 4 digits
• solve two step word problems on addition and subtraction
• solve logical problems
• underst6and multiplication

Course Author: Oksana Sinyukova/Smit

## GET A FREE CONSULTATION

Get a free evaluation and know exactly where you stand and where to go next.

 Duration 8 sessions per month Time commitment Individual Course language English, Russian Format Group, Online, Private Price \$20 per class

## What you will learn

After completing this course your child will be able to:

• orient on the number line ( up to 1000)
• identify numbers as even or odd
• compare numbers up to 1000
• find the missed number in numer patterns
• make a repeating pattern
• solve word problems on addition and subtraction
• add and subtract numbers up to 1000
• identify a digit up to a 1000

Course Author: Oksana Sinyukova/Smit

## GET A FREE CONSULTATION

Get a free evaluation and know exactly where you stand and where to go next.

 Duration 8 sessions per month Time commitment Individual Course language English, Russian Format Group, Online, Private Price \$20 per class

## What you will learn

After completing this course your child will be able to:

• count forward and backword
• add and subtract numbers up to 20
• Solve word problems on addition and subtraction
• Wright numbers as ten and ones
• compare numbers using number lines

Course Author: Oksana Sinyukova/Smit

## GET A FREE CONSULTATION

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 Duration 16 sessions per month Time commitment Individual Course language English, Russian Format Group, Online Private Price \$25 - \$50 per session

## Course curriculum

Total of  ( 126 hours)  or ( 8 month)

1. Arithmetic (32 h)
1.1. Whole numbers (6 h)
1.1.1. Prime or composite
1.1.2. Factors
1.1.3. Divisibility
1.1.3.1. Divisibility rules
1.1.3.2. Proof of divisibility
1.1.4. Prime factorization
1.1.5. Greatest common factor. Least common multiple. Algorithms. Word problems
1.2. Integers (6 h)
1.2.1. Integers on number lines
1.2.2. Points and their coordinates on a plane
1.2.3. Opposite integer (Additive inverse) and absolute value. Geometric interpretation of an absolute value
1.2.4. Compare and order integers
1.2.5. Operations with integer
1.2.7. Properties of multiplication
1.2.8. Order of operations. PEMDAS. Parentheses rules
1.3. Rational and irrational numbers (4 h)
1.3.1. Definition. Identify of rational numbers
1.3.2. Fractions and decimals
1.3.3. Scientific notation
1.3.3.1. Convert between standard and scientific notation
1.3.3.2. Compare numbers written in scientific notation
1.3.3.3. Operations with numbers written in scientific notation
1.3.4. Convert fraction to decimal
1.3.5. Terminating decimals. Nonterminating decimals. Identify of decimal’s type
1.3.6. Rounding
1.3.7. Convert terminating decimal to fraction
1.3.8. Convert nonterminating decimal to fraction
1.3.9. Compare rational numbers
1.4. Fractions and mixed numbers (2h)
1.4.1. Operation with fraction and mixed numbers
1.4.2. Least common denominator
1.4.4. Multiplication and division
1.4.5. Reciprocals (Multiplicative inverse)
1.5. Exponents and roots (4 h)
1.5.1. Properties of exponents
1.5.2. Operations with exponents
1.5.3. Solve simple equations with exponents
1.5.4. Exponent with negative bases
1.5.5. Exponent with decimal bases
1.5.6. Negative exponents
1.5.7. Evaluate expressions using properties of exponents
1.5.8. Roots and fractional exponents
1.5.9. Square roots of perfect squares
1.5.10. Arithmetic and algebraic value of a root of even degree
1.5.11. Estimation of square roots
1.5.12. Solve simple equations using square roots
1.5.13. Cube roots of perfect cubes
1.6. Ratio, rates and proportions (4 h)
1.6.1. Equivalent ratios
1.6.2. Compare ratios
1.6.3. Solve proportions
1.6.4. Estimate population size using proportions
1.6.5. Scale drawings. Word problems
1.6.6. Proportional division
1.7. Percent (4 h)
1.7.1. Convert between percents, fractions, and decimals
1.7.2. Find a percent of a number
1.7.3. Find what percent one number is of another
1.7.4. Find a whole by given part and percent
1.7.5. Percent equation
1.7.6. Percent of change
1.7.7. Percent of change: find the original amount word problems
1.7.8. Simple interest
1.7.9. Compound interest
1.8. Proportional relationship (2 h)
1.8.1. Defining proportional relationship: table, equation, graph
1.8.2. Identify proportional relationship: table, equation, graph
1.8.3. Find the constant of proportionality from a graph, table
1.8.4. Write equation from graph and table
1.8.5. Graph proportional relationship
1.8.6. Interpret graphs of proportional relationships
1.9. Units of measurement
1.10. Time
1.11. Temperature
2. Algebra (44 h)
2.1. Expression and properties (6 h)
2.1.1. Write variable expressions
2.1.2. Evaluate variable expressions
2.1.3. Terms and coefficients
2.1.4. Factors of variable expressions
2.1.5. Properties of addition and multiplication
2.1.6. Operation with distributive property. Factor out and expand
2.1.7. Like terms. Combining like terms
2.1.8. Identify equivalent linear expressions
2.1.9. Identify equivalent linear expressions: word problems
2.2. One variable linear equations (4)
2.2.1. Properties of equalities
2.2.2. Solving one variable linear equations
2.2.3. Word problems
2.3. One variable inequalities (4 h)
2.3.1. Solutions to inequalities
2.3.2. Graph inequalities on number line
2.3.3. Write inequality from number line
2.3.4. Properties of inequalities
2.3.5. Solve inequality and graph solutions
2.4. Functions (6 h)
2.4.1. Identify function
2.4.2. Independent and dependent variables
2.4.3. Ways to setup a function: table, equation, graph
2.4.4. Does (x, y) satisfy equation?
2.4.5. Evaluate function
2.4.6. Find values using function graphs
2.4.7. Domain and range of functions
2.5. Linear function (4 h)
2.5.1. Equation of linear function
2.5.2. Identify linear function from table
2.5.3. Find a slope and shift form a graph
2.5.4. Find a slope and shift form a table
2.5.5. Find a missing coordinate using a slope
2.5.6. Write a linear equation from a graph
2.5.7. Write a linear equation from a slope and a point
2.5.8. Write a linear equation from two points
2.5.9. Linear equation in standard form and slope-intercept form
2.5.10. Slopes of parallel and perpendicular lines
2.5.11. Word problems
2.5.12. Rate of change
2.6. Systems of linear equations (4 h)
2.6.1. Is (x, y) a solution to the system of equations?
2.6.2. Solve a system of equations by graphing
2.6.3. Find the number of solutions to a system of equations by graphing
2.6.3.1. Consistent and independent with one solutions
2.6.3.2. Consistent and dependent with infinitely many solutions
2.6.3.3. Inconsistent with no solutions
2.6.4. Solve a system of equations using substitution
2.6.5. Solve a system of equations using elimination
2.7. Monomials and polynomials (10)
2.7.1. Operations with monomials
2.7.1.1. Addition and subtraction like terms
2.7.1.2. Multiplication
2.7.1.3. Division
2.7.1.4. Power of monomial
2.7.1.5. Square and cube roots of monomials
2.7.2. Operations with polynomials
2.7.2.2. Multiplication
2.7.2.3. Expand and factor out
2.7.2.4. Special factoring rules
2.7.2.4.1. Difference of squares
2.7.2.4.2. Square of sum and difference
2.7.2.4.3. Difference and sum of cubes
2.7.2.4.4. Cube of sum and difference
2.8. Coordinate plane (2)
2.8.2. Distance between two points
2.8.3. Distance between two parallel lines
2.8.4. Distance from point to line
2.9. Number sequences (4 h)
2.9.1. Arithmetic sequences
2.9.2. Geometric sequences
2.9.3. Identify arithmetic and geometric sequences
3. Geometry (38 h)
3.1. Two-dimensional figures (2 h)
3.2. Identify and classify polygons (10 h)
3.2.1. Classify triangles
3.2.2. Identify trapezoids
3.2.5. Find missing angles in triangles
3.2.6. Find missing angles in triangles using ratios
3.2.7. Find missing angles in quadrilaterals
3.2.8. Find missing angles in quadrilaterals
3.2.9. Exterior Angle Theorem
3.2.10. Interior angles of polygons
3.2.11. Identify complementary, supplementary, vertical, adjacent, and congruent angles
3.2.12. Find measures of complementary, supplementary, vertical, and adjacent angles
3.2.13. Identify alternate interior and alternate exterior angles
3.2.14. Transversals of parallel lines: name angle pairs
3.2.15. Transversals of parallel lines: find angle measures
3.2.16. Find lengths and measures of bisected line segments and angles
3.2.17. Parts of a circle
3.3. Transformations and congruence (6 h)
3.3.1. Line symmetry
3.3.2. Rotational symmetry
3.3.3. Rotational symmetry: amount of rotation
3.3.4. Identify reflections, rotations, and translations
3.3.5. Describe a sequence of transformations
3.3.6. Translations: graph the image
3.3.7. Translations: find the coordinates
3.3.8. Reflections over the x- and y-axes: graph the image
3.3.9. Reflections over the x- and y-axes: find the coordinates
3.3.10. Reflections: graph the image
3.3.11. Reflections: find the coordinates
3.3.12. Rotations: graph the image
3.3.13. Rotations: find the coordinates
3.3.14. Congruence statements and corresponding parts
3.3.15. Side lengths and angle measures of congruent figures
3.3.16. Congruent triangles: SSS, SAS, and ASA
3.4. Transformations and similarity (2 h)
3.4.1. Similar and congruent figures
3.4.2. Dilations: graph the image
3.4.3. Dilations: find the coordinates
3.4.4. Dilations: scale factor and classification
3.4.5. Side lengths and angle measures of similar figures
3.5. Pythagorean theorem (4  h)
3.5.1. Find the length of the hypotenuse
3.5.2. Pythagorean theorem: find the missing leg length
3.5.3. Pythagorean theorem: find the perimeter
3.5.4. Pythagorean theorem: word problems
3.5.5. Converse of the Pythagorean theorem: is it a right triangle?
3.6. Three-dimensional figures (2 h)
3.6.1. Parts of three-dimensional figures
3.6.2. Nets of three-dimensional figures
3.6.3. Front, side, and top view
3.6.4. Base plans
3.6.5. Similar solids
3.7. Geometric measurement (12 h)
3.7.1. Perimeter
3.7.2. Area
3.7.3. Area and perimeter: word problems
3.7.4. Area between two shapes
3.7.5. Area and circumference of circles
3.7.6. Circles: word problems
3.7.7. Area and perimeter of semicircles and quarter circles
3.7.8. Volume of cubes, prisms, and pyramids
3.7.9. Surface area of cubes, prisms, and pyramids
3.7.10. Volume of cylinders
3.7.11. Volume of cones
3.7.12. Surface area of cylinders
3.7.13. Surface area of cones
3.7.14. Volume of spheres
3.7.15. Surface area of spheres
3.7.16. Volume and surface area of similar solids
3.7.17. Perimeter and area: changes in scale
4. Probability and statistics (12 h)
4.1. Probability of simple events
4.2. Probability of opposite, mutually exclusive, and overlapping events
4.3. Experimental probability
4.4. Find probabilities using two-way frequency tables
4.5. Make predictions
4.6. Compound events: find the number of outcomes
4.7. Compound events: find the number of sums
4.8. Identify independent and dependent events
4.9. Probability of independent and dependent events
4.10. Factorials
4.11. Permutations
4.12. Counting principle
4.13. Combination and permutation notation
4.14. Calculate mean, median, mode, and range
4.15. Interpret charts and graphs to find mean, median, mode, and range
4.16. Mean, median, mode, and range: find the missing number
4.17. Changes in mean, median, mode, and range
4.18. Quartiles
4.19. Identify an outlier
4.20. Identify an outlier and describe the effect of removing it
4.21. Outliers in scatter plots
4.22. Scatter plots: line of best fit
4.23. Identify representative, random, and biased samples

## What you will learn

• After completing this course you will be able to pass any examination  according to the reqirements for currant age, skills and knowlege  level.

Course Author: