Course programs

Primary School Math (Grades 1-4)

Grade 1

Basic shapes and 3D figures: students will be able to recognize shapes and figures and describe them.

Positions of objects: students will be able to recognize some prepositions of place and use them in speech.

Numbers up to 10: students will be able to recognize numbers from 0 to 10 and use these numbers in speech.

Numbers up to 20: students will be able to recognize numbers from 0 to 20 and use these numbers in speech.

Addition: students will be able to recognize addition and perform simple calculations in English.

Subtraction: students will be able to recognize subtraction and perform simple calculations in English.

Comparison: students will be able to compare numbers and recognize the signs "greater than," "less than," and "equal to."

Telling time: students will be able to read analog clocks and determine the time.

Months of the year: students will be able to recognize the 12 months of the year, 4 seasons, 7 days of the week, and discuss them in speech.

Positions of objects: students will be able to recognize some prepositions of place and use them in speech.

Numbers up to 10: students will be able to recognize numbers from 0 to 10 and use these numbers in speech.

Numbers up to 20: students will be able to recognize numbers from 0 to 20 and use these numbers in speech.

Addition: students will be able to recognize addition and perform simple calculations in English.

Subtraction: students will be able to recognize subtraction and perform simple calculations in English.

Comparison: students will be able to compare numbers and recognize the signs "greater than," "less than," and "equal to."

Telling time: students will be able to read analog clocks and determine the time.

Months of the year: students will be able to recognize the 12 months of the year, 4 seasons, 7 days of the week, and discuss them in speech.

Grade 2

Telling time: students will be able to read analog clocks and determine the time.

Number sequence: students will be able to continue an ordered set of numbers according to a given rule.

Counting up to 1000:** **students will be able to recognize and discuss addition and subtraction.

Comparison of three-digit numbers: students will be able to compare two numbers and recognize the signs "greater than," "less than," and "equal to."

Addition and subtraction of numbers up to 1000: students will be able to recognize and perform addition and subtraction of numbers up to 1000.

Measurement of length: students will be able to estimate and compare the lengths of different objects.

Measurement of weight: students will be able to discuss measurements of weight and compare the weight of different objects.

Basic geometry concepts: students will be able to recognize and discuss some basic geometric concepts.

3D shapes: students will be able to recognize 3D shapes and discuss them.

Number sequence: students will be able to continue an ordered set of numbers according to a given rule.

Counting up to 1000:

Comparison of three-digit numbers: students will be able to compare two numbers and recognize the signs "greater than," "less than," and "equal to."

Addition and subtraction of numbers up to 1000: students will be able to recognize and perform addition and subtraction of numbers up to 1000.

Measurement of length: students will be able to estimate and compare the lengths of different objects.

Measurement of weight: students will be able to discuss measurements of weight and compare the weight of different objects.

Basic geometry concepts: students will be able to recognize and discuss some basic geometric concepts.

3D shapes: students will be able to recognize 3D shapes and discuss them.

Grades 3-4

Telling time: students will be able to read analog clocks and determine the time, as well as know some common units of time and understand the relationship between them.

Multiplication: students will be able to recognize and perform multiplication to solve mathematical problems.

Division: students will be able to recognize and perform division to solve mathematical problems.

Fractions: students will understand the concept of fractions and be able to discuss fractions and fractional parts of some numbers.

Numbers up to 10,000: students will be able to recognize numbers up to 10,000 and discuss them in speech.

Rounding numbers: students will be able to compare numbers and round them to the nearest tens, hundreds, and thousands, as well as understand the relationship between rounding and estimation.

Measurement of area: students will be able to recognize some common units of area and the relationships between them, as well as discuss the area of several objects.

Angles: students will be able to recognize and measure some angles.

Lines: students will be able to recognize different types of lines and discuss the relationship between them.

Problem-solving: students will understand mathematical concepts by relating them to everyday life and learn to solve problems using learned concepts and their own experience.

Multiplication: students will be able to recognize and perform multiplication to solve mathematical problems.

Division: students will be able to recognize and perform division to solve mathematical problems.

Fractions: students will understand the concept of fractions and be able to discuss fractions and fractional parts of some numbers.

Numbers up to 10,000: students will be able to recognize numbers up to 10,000 and discuss them in speech.

Rounding numbers: students will be able to compare numbers and round them to the nearest tens, hundreds, and thousands, as well as understand the relationship between rounding and estimation.

Measurement of area: students will be able to recognize some common units of area and the relationships between them, as well as discuss the area of several objects.

Angles: students will be able to recognize and measure some angles.

Lines: students will be able to recognize different types of lines and discuss the relationship between them.

Problem-solving: students will understand mathematical concepts by relating them to everyday life and learn to solve problems using learned concepts and their own experience.

Secondary School Math (Grades 5-6)

Arithmetic

Fractions: Understanding and working with parts of a whole.

Decimals: Decimal notation, place value, and operations with decimals.

Percentages: Understanding percentages as fractions and decimals, and solving problems involving percentages.

Negative numbers: Introducing the concept of negative numbers and performing basic operations with them.

Problem solving using Fractions, Decimals, and Percentages: Applying mathematical concepts to solve real-world problems.

Decimals: Decimal notation, place value, and operations with decimals.

Percentages: Understanding percentages as fractions and decimals, and solving problems involving percentages.

Negative numbers: Introducing the concept of negative numbers and performing basic operations with them.

Problem solving using Fractions, Decimals, and Percentages: Applying mathematical concepts to solve real-world problems.

Algebra

Problem solving using Venn diagrams: Organizing and analyzing information using Venn diagrams.

Addition and subtraction of like terms: Simplifying algebraic expressions by combining like terms.

Multiplication and Division of pronumerals: Performing basic operations with algebraic expressions involving pronumerals.

Grouping symbols and Factorization: Understanding and applying grouping symbols, and factoring algebraic expressions.

Equations: Solving simple equations.

Inequations: Understanding and solving simple inequalities.

Solving equations: Solving more complex equations involving various operations.

Equations with pronumerals on both sides: Solving equations with terms on both sides.

Equations with grouping symbols: Solving equations with parentheses and other grouping symbols.

Solving problems using equations: Applying equations to solve real-world problems.

Solving inequations: Solving more complex inequalities.

Addition and subtraction of like terms: Simplifying algebraic expressions by combining like terms.

Multiplication and Division of pronumerals: Performing basic operations with algebraic expressions involving pronumerals.

Grouping symbols and Factorization: Understanding and applying grouping symbols, and factoring algebraic expressions.

Equations: Solving simple equations.

Inequations: Understanding and solving simple inequalities.

Solving equations: Solving more complex equations involving various operations.

Equations with pronumerals on both sides: Solving equations with terms on both sides.

Equations with grouping symbols: Solving equations with parentheses and other grouping symbols.

Solving problems using equations: Applying equations to solve real-world problems.

Solving inequations: Solving more complex inequalities.

Geometry

Adjacent angles: Understanding angles that share a common arm.

Angles at a point and vertically opposite angles: Exploring angles formed at a point and vertically opposite angles.

Angles associated with parallel lines: Understanding angles formed when a transversal intersects parallel lines.

Angle sum of a triangle and Angle sum of a quadrilateral: Finding the sum of angles in triangles and quadrilaterals.

Isosceles and equilateral triangles: Identifying and understanding properties of isosceles and equilateral triangles.

Area and volume: Calculating the area of 2D shapes and volume of 3D shapes.

Circles: Understanding properties of circles, calculating circumference, and area.

Angles at a point and vertically opposite angles: Exploring angles formed at a point and vertically opposite angles.

Angles associated with parallel lines: Understanding angles formed when a transversal intersects parallel lines.

Angle sum of a triangle and Angle sum of a quadrilateral: Finding the sum of angles in triangles and quadrilaterals.

Isosceles and equilateral triangles: Identifying and understanding properties of isosceles and equilateral triangles.

Area and volume: Calculating the area of 2D shapes and volume of 3D shapes.

Circles: Understanding properties of circles, calculating circumference, and area.

Secondary School Math (Grades 7-8)

Math

Pythagoras’ Theorem: Right-angled triangles and applications of Pythagoras’ theorem.

Indices: Index laws, negative indices, and mathematical applications.

Equations and Inequations: Equations and inequations, graphing, and real-world applications.

Coordinate Geometry: Graphing straight lines, intersections, and distance–time graphs.

Formulae and Problem Solving: Substitution, formula evaluation, and problem-solving techniques.

Geometry: Angles, triangles, quadrilaterals, and polygons.

Locus: Bisectors, angle constructions, and problem-solving using locus.

Perimeter, Area, and Surface Area: Concepts of perimeter, area, and surface area.

Statistics: Frequency, cumulative frequency, and grouped data.

Probability: Experimental and theoretical probability.

Networks and Topology: Graph basics, weighted graphs, trees, and topology.

Linear Equations and Functions: Linear equations, functions, slopes, intercepts, and systems of equations.

Surds and Square Roots

Indices: Index laws, negative indices, and mathematical applications.

Equations and Inequations: Equations and inequations, graphing, and real-world applications.

Coordinate Geometry: Graphing straight lines, intersections, and distance–time graphs.

Formulae and Problem Solving: Substitution, formula evaluation, and problem-solving techniques.

Geometry: Angles, triangles, quadrilaterals, and polygons.

Locus: Bisectors, angle constructions, and problem-solving using locus.

Perimeter, Area, and Surface Area: Concepts of perimeter, area, and surface area.

Statistics: Frequency, cumulative frequency, and grouped data.

Probability: Experimental and theoretical probability.

Networks and Topology: Graph basics, weighted graphs, trees, and topology.

Linear Equations and Functions: Linear equations, functions, slopes, intercepts, and systems of equations.

Surds and Square Roots

Algebra

Numbers and calculations.

Real numbers.

Equations and inequalities.

Equations with one variable.

Systems of equations.

Equations and inequalities.

Functions.

Numerical sequences.

Real numbers.

Equations and inequalities.

Equations with one variable.

Systems of equations.

Equations and inequalities.

Functions.

Numerical sequences.

Geometry

Trigonometry. Theorems of cosines and sines. Solving triangles.

Similarity transformation. Metric ratios in a circle.

Vectors.

Cartesian coordinates on a plane.

Regular polygons.

Circumference and area of a circle. Calculation of areas.

Similarity transformation. Metric ratios in a circle.

Vectors.

Cartesian coordinates on a plane.

Regular polygons.

Circumference and area of a circle. Calculation of areas.

Probability and Statistics

Elements of combinatorics.

Geometric probability.

Bernoulli tests.

Random value.

Generalization, control.

Geometric probability.

Bernoulli tests.

Random value.

Generalization, control.

Self-review

Repetition, generalization, systematization of knowledge.

Optional

Set Theory and Propositional Logic.

High School Math (Grade 10-11) / Preparation for Admission to an International University

Algebra and Mathematical Analysis

Sets of rational and real numbers.

Rational equations and inequalities.

Functions and graphics.

Degree with an integer indicator and arithmetic root nth degree.

Irrational equations and inequalities.

Trigonometry formulas and equations.

Sequences and progression.

Degree with rational indicator.

Exponential function, equations, and inequalities.

Logarithmic function, equations, and inequalities.

Trigonometric functions, their graphs, and inequalities.

Derivative and its applications.

Integral and its applications.

Systems of equations.

Natural and whole numbers.

Rational equations and inequalities.

Functions and graphics.

Degree with an integer indicator and arithmetic root nth degree.

Irrational equations and inequalities.

Trigonometry formulas and equations.

Sequences and progression.

Degree with rational indicator.

Exponential function, equations, and inequalities.

Logarithmic function, equations, and inequalities.

Trigonometric functions, their graphs, and inequalities.

Derivative and its applications.

Integral and its applications.

Systems of equations.

Natural and whole numbers.

Geometry

Introduction to Stereometry.

Straight lines and planes in space.

Parallelism, perpendicularity and angles of lines and planes.

Polyhedron and volumes.

Sections, distances, and angles.

Bodies of rotation and volumes.

Vectors and coordinates in space.

Straight lines and planes in space.

Parallelism, perpendicularity and angles of lines and planes.

Polyhedron and volumes.

Sections, distances, and angles.

Bodies of rotation and volumes.

Vectors and coordinates in space.

Probability and statictics

Data presentation and descriptive statistics.

Random experiments and random events experiment with equally possible elementary outcomes.

Operations on events, addition of probabilities.

Conditional probability, independence of events.

Elements of combinatorics.

Random variables and distributions.

Expected value, variance, and standard deviation of random variable.

Law of large numbers, normal distribution, and continuous distributions.

Random experiments and random events experiment with equally possible elementary outcomes.

Operations on events, addition of probabilities.

Conditional probability, independence of events.

Elements of combinatorics.

Random variables and distributions.

Expected value, variance, and standard deviation of random variable.

Law of large numbers, normal distribution, and continuous distributions.

Probability and statictics

Data presentation and descriptive statistics.

Random experiments and random events experiment with equally possible elementary outcomes.

Operations on events, addition of probabilities.

Conditional probability, independence of events.

Elements of combinatorics.

Random variables and distributions.

Expected value, variance, and standard deviation of random variable.

Law of large numbers, normal distribution, and continuous distributions.

Random experiments and random events experiment with equally possible elementary outcomes.

Operations on events, addition of probabilities.

Conditional probability, independence of events.

Elements of combinatorics.

Random variables and distributions.

Expected value, variance, and standard deviation of random variable.

Law of large numbers, normal distribution, and continuous distributions.

Self-review

Repetition, generalization, systematization of knowledge.

Optional

Number Theory and Calculus.