Mfti preparation for the exam. Training courses. Medical biophysical engineering

(2019-2020 academic year,
Beginning of classes from October 1)

Items:

Physics (grades 7-11);

Olympiad physics (grades 7-11) admission based on test results * ;

Mathematics (grades 2-11);

Olympiad mathematics (grades 2-11) admission based on test results * ;

Informatics (grades 9-11);

Robotics (grades 2-6);

Programming (grades 2-8);

Medical biophysical engineering (grades 7-9);

Russian language (grades 9-11).

Course participants will be able to repeat the material they studied at school and fill in the gaps in knowledge, get acquainted with the format of the Unified State Examination, and prepare for exams and performance at olympiads.

Our advantages:

Convenient location;

Classes in groups up to 15 people;

The best teachers with a long experience of working with schoolchildren;

The programs are approved by the MIPT Academic Council;

Monthly payment;

Physics

7th grade
1. Physical quantities, measurement physical quantities. Accuracy and error of measurements.
2. mechanical movement. Speed, calculation of the path and time of movement.
3. Graphical method for solving problems.
4. Body weight, density.
5. Gravity, body weight. Composition of forces.
6. Force of friction. Friction of rest and sliding.
7. Pressure solids, liquids and gases. Pascal's law. Hydraulic Press.
8. Calculation of pressure on the bottom and walls of the vessel. Communicating vessels.
9. Atmospheric pressure.
10. Archimedean force. Sailing conditions tel. Aeronautics.
11. mechanical work, power.
12. Simple mechanisms. Lever rule. Moment of power.
13. The center of gravity of the body, the conditions for the equilibrium of bodies.
14. " Golden Rule» mechanics. efficiency of simple machines.
15. Energy, the law of conservation of energy.

8th grade
1. Mechanical movement. Fundamentals of kinematics.
2. average speed and average density.
3. Vectors in physics. Addition of vectors.
4. Relativity of speeds.
5. Trajectory of the body. Dependence of the coordinate and velocity of the body on time.
6. Thermal phenomena. Temperature. Internal energy.
Thermal conductivity. Quantity of heat. Heat capacity.
7. Specific heat of combustion. Aggregate states substances. Specific heat of fusion. Specific heat of vaporization.
8. Thermal balance.
9. Humidity. Absolute and relative humidity.
10. Electrical phenomena. Electric charge. The law of conservation of charge.
11. Conductors and dielectrics.
12. D.C. Electrical circuits. Current sources.
Voltage. Ammeter. Voltmeter. Resistance. Parallel and series connection of conductors. 13. Work and current power. Thermal effect of current. Joule-Lenz law.
14. Optics. The law of rectilinear propagation of light. The law of reflection. Construction of an image in a flat mirror.
15. Law of refraction of light. total internal reflection.

Grade 9
1 Kinematics
1.1 Kinematics of a material point
1.2 Rectilinear uniform motion
1.3 Uniform movement body around the circumference
2 Dynamics and conservation laws in mechanics
2.1 Newton's laws
2.2 Law of conservation of energy
2.3 Law of conservation of momentum
2.4 Oscillatory and wave processes, sound
3 Thermal phenomena
3.1 Structure of matter, molecular theory
3.2 Thermal phenomena
3.3 Phase transitions
4 Electrical and magnetic phenomena
4.1 Electrification of bodies
4.2 DC
4.3 Magnetism
5 Optics
5.1 geometric optics
6 Quantum phenomena
7 Fundamentals of experimental work

Grade 10
1. Kinematics. The movement of the body at an angle to the horizon. The law of conservation in kinematics.
2. Dynamics. Forces. Newton's laws.
3. Centripetal acceleration. The movement of the body in a circle.
4. Impulse. Law of change of momentum. Law of conservation of momentum.
5. Molecular-kinetic theory. Ideal gas.
6. The equation of state for an ideal gas. Internal energy. Temperature.
7. Isoprocesses. adiabatic process.
8. Work in thermodynamics. cycles. cycle efficiency.
9. The first law of thermodynamics.
10. Heat capacity. Molar heat capacity.
11. Law of conservation in thermodynamics.
12. Electric field. Coulomb's law.
13. Tension electric field. The principle of superposition of fields. Power lines.
14. Potential. Potential difference. Voltage.
15. Strength and potential of the field of a uniformly charged infinite plane and a uniformly charged sphere.
16. Conductors and dielectrics in an electric field. Capacitors.
17. Energy of the electric field. Movement of charged particles in an electric field.
18. Direct current. Electromotive force (EMF). Ohm's law for a complete circuit. Kirchhoff's rules.
19. Work and current power. Joule-Lenz law.
20. Magnetic field. Magnetic induction vector. The magnetic field of the current.
21. Ampère's law. Lorentz force. EMF induced in a conductor.
22. Movement of charged particles in a magnetic field.

Grade 11
1. Fundamentals of molecular-kinetic theory. Ideal gas.
2. The equation of state for an ideal gas. Internal energy. Temperature.
3. Work in thermodynamics. cycles. Efficiency factor (COP) of cycles. First law of thermodynamics. Heat capacity. Molar heat capacity.
4. Phase transitions. Thermal balance.
5. Air humidity. Saturated and unsaturated steam.
6. Electrostatics. Intensity and potential of the field of a uniformly charged infinite plane and a uniformly charged sphere.
7. Capacitors. D.C. Electromotive force (EMF). Ohm's law for a complete circuit. Kirchhoff's rules.
8. Joule-Lenz law. Work and power in an electrical circuit.
9. Magnetic field. Magnetic induction vector. Movement of charged particles in an electromagnetic field.
10. Ampère's law. Lorentz force.
11. magnetic flux. Inductance. EMF induced in a conductor. The law of electromagnetic induction. Lenz's rule.
12. Mechanical vibrations. Mathematical pendulum. Spring pendulum. Energy transformations during oscillatory motion.
13. Oscillatory circuit. Energy transformations during oscillatory motion.
14. Geometric optics. Light refraction. Thin lenses.
15. Wave optics. Interference. Diffraction.
16. Mechanics. Kinematics. Kinematic equations for displacement and for velocity. Uniform movement.
17. Movement of a body thrown at an angle to the horizon. The law of conservation of energy in kinematic problems.
18. Dynamics. Newton's laws.
19. Statics. Moment of power. Equilibrium conditions for solids.
20. Elements of quantum physics.

Mathematics

Grade 2

1. Analysis of the problem, construction of graphical models, planning and implementation of the solution.
2. Compound tasks in 2-4 actions for all arithmetic operations within 1000.
3. Tasks with letter data. Problems for calculating the length of a broken line; the perimeter of a triangle and a quadrilateral; area and perimeter of rectangle and square.
4. Addition and subtraction of the studied quantities in solving problems.

Geometric figures and quantities. Point, line, ray, segment. Parallel and intersecting lines.
1. Polyline, the length of a broken line. The perimeter of the polygon.
2. Plane. Corner. Straight, acute and obtuse angles. Perpendicular lines.
3. Rectangle. Square. Properties of sides and corners of a rectangle and a square. Construction of a rectangle and a square on checkered paper according to the given lengths of their sides.
4. Rectangular parallelepiped, cube. Circle and circumference, their center, radius, diameter.
Compass. Drawing patterns from circles with a compass.
5. Compiling figures from parts and breaking figures into parts. intersection geometric shapes.
6. Units of length.
7. Perimeter of a rectangle and a square.
8. The area of a geometric figure. Direct comparison of figures by area. Area measurement. Units of area (square centimeter, square decimeter, square meter) and the relationship between them. The area of the rectangle. Square area. Areas of figures made up of rectangles and squares.
9. Transformation, comparison, addition and subtraction of homogeneous geometric quantities.

1. Reading and writing numerical and literal expressions containing addition, subtraction, multiplication and division (with and without brackets). Calculation of the values of the simplest literal expressions when setpoints letters.

1. Operation. The object and result of the operation.
2. Operations on objects, figures, numbers. Direct and reverse operations.
Finding unknowns: the object of the operation, the operation being performed, the result of the operation.
3. Program of action. Algorithm. Linear, branched and cyclic algorithms.
Compilation, recording and execution of algorithms of various types.
4. Reading and filling the table. Table data analysis.
5. Ordered enumeration of options. Line networks. Ways. Tree of possibilities.

3rd grade

Numbers and arithmetic operations with them

natural number

Work with text tasks. Problem analysis, construction of graphical models and tables, planning and implementation of the solution. Search for different solutions. 1. Compound tasks in 2-4 actions with natural numbers on the meaning of addition, subtraction, multiplication and division, difference and multiple comparison of numbers. 2. Tasks containing a relationship between quantities, of the form a = b c: tasks for movement, tasks for work, tasks for cost. 3. Classification simple tasks studied types. General way analysis and solution of a composite problem.
4. Tasks to determine the beginning, end and duration of the event.
5. Tasks for finding numbers by their sum and difference.
6. Tasks for calculating the areas of figures made up of rectangles and squares.
7. Addition and subtraction of the studied quantities in solving problems.

1. Rectangular box, cube, their vertices, edges and faces. Building a sweep and a cube model and cuboid.
2. Units of length: millimeter, centimeter, decimeter, meter, kilometer, ratios between them.
3. Transformation of geometric quantities, comparison of their values, addition, subtraction, multiplication and division by a natural number.
4. Formula. Formulas for the area and perimeter of a rectangle. Formulas for the area and perimeter of a square.
5. The formula for the volume of a rectangular parallelepiped. The formula for the volume of a cube.

Algebraic representations.
1. Equation. Root of the equation. The set of roots of the equation. Compound equations reducing to a chain of simple ones.
2. Mass units: gram, kilogram, centner, ton, ratios between them.

Mathematical language and elements of logic.
1. Many. Set element. Signs ∈ and ∉. Specifying a set by enumerating its elements and a property.
2. The empty set and its notation: Ø. Equal Sets. Euler - Venn diagram.
3. Subset. Signs ⊂ and ⊄. Intersection of many. Sign ∩. Set intersection properties. Union of sets. Sign ∪. Properties of union of sets.
4. Classification of set elements by property. Ordering and systematization of information in the reference literature.
5. Solving problems for an ordered enumeration of options using tables and a tree of possibilities.

4th grade

Numbers and arithmetic operations with them.

mixed numbers

Work with text tasks. Independent analysis of the problem, building models, planning and implementation of the solution. Search for different solutions. Correlation of the result obtained with the condition of the problem, assessment of its likelihood. Checking the task.
1. Compound tasks in 2-5 actions with natural numbers for all arithmetic operations, difference and multiple comparison. Tasks for addition, subtraction and difference comparison of fractions and mixed numbers.
2. Tasks for finding the share of the whole and the whole by its share.
3. Three types of tasks on fractions: finding a part of a number, a number by its part, and a fraction that one number is from another.
4. Tasks for speed, time, distance.
5. Tasks for calculating the area of a right-angled triangle and the areas of figures.

Geometric figures and quantities.
1. Expanded angle. Adjacent and vertical corners. Central corner and an angle inscribed in a circle.
2. Measurement of angles. Protractor. Constructing angles with a protractor.
3. Units of area: square millimeter, square centimeter, square decimeter, square meter, are, hectare, ratios between them.
4. Study of the properties of geometric shapes using measurements.
5. Transformation, comparison, addition and subtraction of homogeneous geometric quantities.
Multiplication and division of geometric quantities by a natural number.

Algebraic representations. Inequality. The set of solutions to the inequality. Strict and non-strict inequality. Signs ≥, ≤ . double inequality.

Work with information and data analysis. Pie, bar and line charts, motion graphs: reading, interpreting data, building.
1. Working with text: checking understanding; selection main idea, significant remarks and examples illustrating them; note-taking.

5th grade

Integers

common divisor

prime factors

Fractions.
1. Ordinary fractions. Basic property of a fraction. Finding a fraction of a number. Finding a number by the value of its fraction. Proper and improper fractions. Mixed numbers. Reduction of fractions to NOZ.
2. Comparison of ordinary fractions and mixed numbers. Arithmetic operations with ordinary fractions and mixed numbers.
3. Decimal fractions. Comparing and rounding decimals. Arithmetic operations with decimal fractions. Representation of a decimal fraction in the form common fraction and ordinary in the form of a decimal.
4. Proportion. Basic property of proportion. Direct and inverse proportions.

Solving text problems by arithmetic methods.
1. Translation of the condition of the problem into mathematical language. Methods of working with the simplest mathematical models.
2. Drawing up literal expressions and formulas according to the conditions of the tasks; Working with expressions and formulas, numerical substitutions, performing appropriate calculations.
Solving text problems by the algebraic method.

Rational numbers.
1. Positive, negative numbers and the number zero.
2. Opposite numbers. The absolute value of a number.
3. Whole numbers. Rational numbers. Comparison of rational numbers. Arithmetic operations with rational numbers. Properties of addition and multiplication of rational numbers.
coordinate line. Coordinate plane.

Values. Dependencies between quantities.
1. Units of length, area, volume, mass, time, speed.
2. Examples of dependencies between quantities. Representation of dependencies in the form of formulas. Formula calculations.

Numeric and alphabetic expressions. Equations.
1. Numeric expressions. The value of a numeric expression. The order of operations in numerical expressions. Literal expressions. Bracket opening. Like terms, reduction of like terms. Formulas.
2. Equations. Root of the equation. Basic properties of equations. Solving text problems using equations.

Geometric figures. Measurements of geometric quantities.
1. Cut. Building a segment. The length of the segment, broken line. Measuring the length of a segment, constructing a segment of a given length. The perimeter of the polygon. Plane. Straight. Ray.
2. Angle. Types of corners. Degree measure of an angle. Measuring and constructing angles with a protractor.
3. Rectangle. Square. Triangle. Types of triangles. Circle and circle. Circumference.

Olympic physics

Olympiad Mathematics

Computer science

Theoretical

1) mathematical theory information. The amount of information.

2) Theory of information coding. Coding algorithms.

3) Representation of numerical information. Number systems. Types of number systems. Number translation algorithms.

4) Representation of numerical information in a computer. Computer arithmetic.

5) Representation of textual information. Code tables.

6) Presentation of graphic and sound information.

7) Fundamentals of computer networks. network addressing.

8) Strategy for solving problems "Dynamic programming"

9) Algebra of logic. logical operations. Laws of the algebra of logic.

10) Logical expressions. Simplification of logical expressions.

11) Analysis of logical expressions.

12) Systems logical equations. Solution methods.

13) Fundamentals of game theory. Search for a winning strategy on the game tree.

Programming

1) Formal description of the programming language: syntax diagrams, Backus-Naur notational forms.

2) Language base: variables, types, assignment. Program structure, language operators.

3) Features of input and output.

4) Branch operators. Case study strategies.

5) Loop statements.

6) Processing of sequences of elements. Standard templates. Typical tasks and methods for their solution.
Types of correct initialization.

7) Processing of character data.

8) Working with strings.

9) Data arrays. Features of processing arrays.

10) Algorithms for finding an element in an array and sorting an array.

11) Processing of multidimensional arrays.

12) Description of algorithms in the form of functions and procedures. The principle of localization of names.
Methods for passing parameters by value and by reference.

13) Recursion. Compilation of recursive algorithms. Tracing recursive algorithms.

USE

1) Features of conducting, checking and appealing the exam in computer science.

2) Registration of solutions to tasks of the second part of the exam.

3) Examples of tasks from previous years and methods for solving them.

4) Carrying out and analysis of trainings.


Computer science. teachers


		Merzlyakov Vasily Vladimirovich Department head Graduated from the Faculty of Computational Mathematics and Cybernetics of Lomonosov Moscow State University and Faculty teacher education Moscow State University M.V. Lomonosov with honors. She has extensive experience working with gifted children. USE Expert. Works with specialized groups in grades 10-11.



		Vladimir Vladimirovich Usatyuk Informatics teacher at the boarding school A.N. Kolmogorova (SSC MSU). Programmer researcher at Paragon Software.

Physics teacherGOBU "Phystech- lyceum» nameP.L.Kapitsa.

Total work experience - 36 years. Experience pedagogical activity- 33 years.

Thrice Soros teacher,

Seven-time laureate"All-Russian competition of teachers of physics and mathematics" in the nomination "Mentor of Future Scientists",

Honorary Worker general education Russian Federation,

Winner of competition the best teachers Russia 2006,

Awarded the medal "People's recognition of pedagogical work",

Tired teacher of the Russian Federation.

Russian language

Grade 9

Grade 10

Grade 11

Robotics

Target: Teach the child to solve technical and technological issues and give engineering knowledge in accordance with age.

The robotics course is aimed at professional orientation and familiarization of children in the field of prototyping, 3D modeling, electronics, soldering and programming of microcontrollers, as well as the basics of mechanics and mechartonics. After completing this course, the child will form the correct picture of the world and the right direction in further education.
The entire course is designed for classes lasting 5 years and schoolchildren up to the 7th grade.
Classes are held once a week for 2 astronomical hours.
For a better and more effective mastering of the material received in the classroom, children are organized into groups in accordance with the class of students at school. Conducting classes is adapted in accordance with the intellectual development and age of the child.
Education is carried out from 2nd to 6th grade inclusive.

Programming

2-3 grade
Basic arithmetic in Python:

Arithmetic operations.
Fractions.
Measure.
Units.
Share of number.

Point, line, angle.
Simple figures.
Perimeter.
Square.
number beam.
Coordinate plane.

4th grade

Arithmetic operations: repetition and consolidation.
Fractions and operations with fractions.
Simple equations.
The processes of movement of one body (speed, time, distance),
Work processes (labor productivity, time, volume of work)

Building simple figures with specified dimensions
Regular polygons.
Spirals.
Circle and circle elements.
Objects of rotation: ball, cylinder, cone.
Rotate, translate, scale

5th grade

Ordinary and decimals: repetition and consolidation.
Equations and formulas.
Numbers and scales.
Area and volume of figures
Graphs

Elements of logic and logical operations
Branch operators.
Loop operators.
Creation of scenes and objects.

6th grade

Graphics Primitives
Relationships and proportions
Perpendicular and parallel lines
Creating Simple Objects
Movement of simple objects
Interaction of objects with each other

Variable types
Main Operators
Coordinate relation methods
Creating Your Own Functions
Touch, drag and drop

7th grade

Elements of combinatorics
random phenomena
Probability of a random event
Probability addition formula
Probability Multiplication Formula

Data collection
Data processing
Data exploration
Simple statistical analysis
Linear function and its graphs
Data visualization
Fundamentals of Modeling in UML
Basic UML elements
Communication of UML elements
Simple UML Models

8th grade

Options
Power function
Equations and inequalities
Basics of optimization
Software Engineering in UML
Objects and classes
Principles of object-oriented programming
Process Models in UML

Medical biophysical engineering

Creation

In our classes, children get to know wonderful world ceramics.

Ceramics is one of ancient species artistic creativity. Plasticity of clay, its ubiquitous distribution, ability
in combination with water to take any form, as well as the ability to harden as a result of quenching in fire - determined its important
importance in human life.

The lesson program has a specific goal - to help children fall in love with the art of ceramics, to acquaint them with the features and properties
its various types. In the process of classes, students get acquainted with the manufacture of products by hand - sculpting folk toys,
rope technique for the manufacture of ceramic products, the manufacture of tiles and decoration, the formation of a product on a tourniquet
using a template, drying, decorating, firing.

Children get acquainted with the basics of ceramics, with many techniques for working with clay, begin to solve more complex problems in their work:
emotionally - figurative expression of life impressions, associative perception of the artistic image.

You can work with clay directly with your hands, without special tools, which greatly expands the horizons of self-expression.
Clay is very plastic, malleable, but with its own character. Take the clay in your hands and feel the handshake of a friend.

Conducted by a professional ceramic artist.

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(2019-2020 academic year,
Beginning of classes from October 1)

Items:

Physics (grades 7-11);

Olympiad physics (grades 7-11) admission based on test results * ;

Mathematics (grades 2-11);

Olympiad mathematics (grades 2-11) admission based on test results * ;

Informatics (grades 9-11);

Robotics (grades 2-6);

Programming (grades 2-8);

Medical biophysical engineering (grades 7-9);

Russian language (grades 9-11).

Our advantages:

Convenient location;

Classes in groups up to 15 people;

The best teachers with a long experience of working with schoolchildren;

The programs are approved by the MIPT Academic Council;

Monthly payment;

Physics

7th grade
1. Physical quantities, measurement of physical quantities. Accuracy and error of measurements.
2. Mechanical movement. Speed, calculation of the path and time of movement.
3. Graphical method for solving problems.
4. Body weight, density.
5. Gravity, body weight. Composition of forces.
6. Force of friction. Friction of rest and sliding.
7. Pressure of solids, liquids and gases. Pascal's law. Hydraulic Press.
8. Calculation of pressure on the bottom and walls of the vessel. Communicating vessels.
9. Atmospheric pressure.
10. Archimedean force. Sailing conditions tel. Aeronautics.
11. Mechanical work, power.
12. Simple mechanisms. Lever rule. Moment of power.
13. The center of gravity of the body, the conditions for the equilibrium of bodies.
14. The "golden rule" of mechanics. efficiency of simple machines.
15. Energy, the law of conservation of energy.

8th grade
1. Mechanical movement. Fundamentals of kinematics.
2. Average speed and average density.
3. Vectors in physics. Addition of vectors.
4. Relativity of speeds.
5. Trajectory of the body. Dependence of the coordinate and velocity of the body on time.
6. Thermal phenomena. Temperature. Internal energy.
Thermal conductivity. Quantity of heat. Heat capacity.
7. Specific heat of combustion. Aggregate states of matter. Specific heat of fusion. Specific heat of vaporization.
8. Thermal balance.
9. Humidity. Absolute and relative humidity.
10. Electrical phenomena. Electric charge. The law of conservation of charge.
11. Conductors and dielectrics.
12. Direct current. Electrical circuits. Current sources.
Voltage. Ammeter. Voltmeter. Resistance. Parallel and series connection of conductors. 13. Work and current power. Thermal effect of current. Joule-Lenz law.
14. Optics. The law of rectilinear propagation of light. The law of reflection. Construction of an image in a flat mirror.
15. Law of refraction of light. total internal reflection.

Grade 9
1 Kinematics
1.1 Kinematics of a material point
1.2 Rectilinear uniform motion
1.3 Uniform motion of a body in a circle
2 Dynamics and conservation laws in mechanics
2.1 Newton's laws
2.2 Law of conservation of energy
2.3 Law of conservation of momentum
2.4 Oscillatory and wave processes, sound
3 Thermal phenomena
3.1 Structure of matter, molecular theory
3.2 Thermal phenomena
3.3 Phase transitions
4 Electrical and magnetic phenomena
4.1 Electrification of bodies
4.2 DC
4.3 Magnetism
5 Optics
5.1 Geometric optics
6 Quantum phenomena
7 Fundamentals of experimental work

Grade 10
1. Kinematics. The movement of the body at an angle to the horizon. The law of conservation in kinematics.
2. Dynamics. Forces. Newton's laws.
3. Centripetal acceleration. The movement of the body in a circle.
4. Impulse. Law of change of momentum. Law of conservation of momentum.
5. Molecular-kinetic theory. Ideal gas.
6. The equation of state for an ideal gas. Internal energy. Temperature.
7. Isoprocesses. adiabatic process.
8. Work in thermodynamics. cycles. cycle efficiency.
9. The first law of thermodynamics.
10. Heat capacity. Molar heat capacity.
11. Law of conservation in thermodynamics.
12. Electric field. Coulomb's law.
13. Electric field strength. The principle of superposition of fields. Power lines.
14. Potential. Potential difference. Voltage.
15. Strength and potential of the field of a uniformly charged infinite plane and a uniformly charged sphere.
16. Conductors and dielectrics in an electric field. Capacitors.
17. Energy of the electric field. Movement of charged particles in an electric field.
18. Direct current. Electromotive force (EMF). Ohm's law for a complete circuit. Kirchhoff's rules.
19. Work and current power. Joule-Lenz law.
20. Magnetic field. Magnetic induction vector. The magnetic field of the current.
21. Ampère's law. Lorentz force. EMF induced in a conductor.
22. Movement of charged particles in a magnetic field.

Grade 11
1. Fundamentals of molecular-kinetic theory. Ideal gas.
2. The equation of state for an ideal gas. Internal energy. Temperature.
3. Work in thermodynamics. cycles. Efficiency factor (COP) of cycles. First law of thermodynamics. Heat capacity. Molar heat capacity.
4. Phase transitions. Thermal balance.
5. Air humidity. Saturated and unsaturated steam.
6. Electrostatics. Intensity and potential of the field of a uniformly charged infinite plane and a uniformly charged sphere.
7. Capacitors. D.C. Electromotive force (EMF). Ohm's law for a complete circuit. Kirchhoff's rules.
8. Joule-Lenz law. Work and power in an electrical circuit.
9. Magnetic field. Magnetic induction vector. Movement of charged particles in an electromagnetic field.
10. Ampère's law. Lorentz force.
11. Magnetic flux. Inductance. EMF induced in a conductor. The law of electromagnetic induction. Lenz's rule.
12. Mechanical vibrations. Mathematical pendulum. Spring pendulum. Energy transformations during oscillatory motion.
13. Oscillatory circuit. Energy transformations during oscillatory motion.
14. Geometric optics. Light refraction. Thin lenses.
15. Wave optics. Interference. Diffraction.
16. Mechanics. Kinematics. Kinematic equations for displacement and for velocity. Uniform movement.
17. Movement of a body thrown at an angle to the horizon. The law of conservation of energy in kinematic problems.
18. Dynamics. Newton's laws.
19. Statics. Moment of power. Equilibrium conditions for solids.
20. Elements of quantum physics.

Mathematics

Grade 2

Geometric figures and quantities. Point, line, ray, segment. Parallel and intersecting lines.
1. Polyline, the length of a broken line. The perimeter of the polygon.
2. Plane. Corner. Straight, acute and obtuse angles. Perpendicular lines.
3. Rectangle. Square. Properties of sides and corners of a rectangle and a square. Construction of a rectangle and a square on checkered paper according to the given lengths of their sides.
4. Rectangular parallelepiped, cube. Circle and circumference, their center, radius, diameter.
Compass. Drawing patterns from circles with a compass.
5. Compiling figures from parts and breaking figures into parts. Intersection of geometric shapes.
6. Units of length.
7. Perimeter of a rectangle and a square.
8. The area of a geometric figure. Direct comparison of figures by area. Area measurement. Units of area (square centimeter, square decimeter, square meter) and the ratio between them. The area of the rectangle. Square area. Areas of figures made up of rectangles and squares.
9. Transformation, comparison, addition and subtraction of homogeneous geometric quantities.

3rd grade

Numbers and arithmetic operations with them

Work with text tasks. Problem analysis, construction of graphical models and tables, planning and implementation of the solution. Search for different solutions. 1. Compound tasks in 2-4 actions with natural numbers on the meaning of addition, subtraction, multiplication and division, difference and multiple comparison of numbers. 2. Tasks containing a relationship between quantities, of the form a = b c: tasks for movement, tasks for work, tasks for cost. 3. Classification of simple problems of the studied types. A general method for analyzing and solving a composite problem.
4. Tasks to determine the beginning, end and duration of the event.
5. Tasks for finding numbers by their sum and difference.
6. Tasks for calculating the areas of figures made up of rectangles and squares.
7. Addition and subtraction of the studied quantities in solving problems.

1. Rectangular box, cube, their vertices, edges and faces. Building a development and model of a cube and a rectangular parallelepiped.
2. Units of length: millimeter, centimeter, decimeter, meter, kilometer, ratios between them.
3. Transformation of geometric quantities, comparison of their values, addition, subtraction, multiplication and division by a natural number.
4. Formula. Formulas for the area and perimeter of a rectangle. Formulas for the area and perimeter of a square.
5. The formula for the volume of a rectangular parallelepiped. The formula for the volume of a cube.

4th grade

Numbers and arithmetic operations with them.

Geometric figures and quantities.
1. Expanded angle. Adjacent and vertical corners. Central angle and angle inscribed in a circle.
2. Measurement of angles. Protractor. Constructing angles with a protractor.
3. Units of area: square millimeter, square centimeter, square decimeter, square meter, are, hectare, ratios between them.
4. Study of the properties of geometric shapes using measurements.
5. Transformation, comparison, addition and subtraction of homogeneous geometric quantities.
Multiplication and division of geometric quantities by a natural number.

Algebraic representations. Inequality. The set of solutions to the inequality. Strict and non-strict inequality. Signs ≥, ≤ . double inequality.

Work with information and data analysis. Pie, bar and line charts, motion graphs: reading, interpreting data, building.
1. Working with text: checking understanding; highlighting the main idea, significant remarks and examples illustrating them; note-taking.

5th grade

Integers

Fractions.
1. Ordinary fractions. Basic property of a fraction. Finding a fraction of a number. Finding a number by the value of its fraction. Proper and improper fractions. Mixed numbers. Reduction of fractions to NOZ.
2. Comparison of ordinary fractions and mixed numbers. Arithmetic operations with ordinary fractions and mixed numbers.
3. Decimal fractions. Comparing and rounding decimals. Arithmetic operations with decimal fractions. Representing a decimal fraction as a common fraction and a common fraction as a decimal.
4. Proportion. Basic property of proportion. Direct and inverse proportions.

6th grade

7th grade

8th grade

Grade 9

Grade 10

Grade 11

Olympic physics

Olympiad Mathematics

Computer science

Theoretical

1) Mathematical information theory. The amount of information.

2) Theory of information coding. Coding algorithms.

3) Representation of numerical information. Number systems. Types of number systems. Number translation algorithms.

4) Representation of numerical information in a computer. Computer arithmetic.

5) Representation of textual information. Code tables.

6) Presentation of graphic and sound information.

7) Fundamentals of computer networks. network addressing.

8) Strategy for solving problems "Dynamic programming"

9) Algebra of logic. logical operations. Laws of the algebra of logic.

10) Logical expressions. Simplification of logical expressions.

11) Analysis of logical expressions.

12) Systems of logical equations. Solution methods.

13) Fundamentals of game theory. Search for a winning strategy on the game tree.

Programming

1) Formal description of the programming language: syntax diagrams, Backus-Naur notational forms.

2) Language base: variables, types, assignment. Program structure, language operators.

3) Features of input and output.

4) Branch operators. Case study strategies.

5) Loop statements.

6) Processing of sequences of elements. Standard templates. Typical tasks and methods for their solution.
Types of correct initialization.

7) Processing of character data.

8) Working with strings.

9) Data arrays. Features of processing arrays.

10) Algorithms for finding an element in an array and sorting an array.

11) Processing of multidimensional arrays.

12) Description of algorithms in the form of functions and procedures. The principle of localization of names.
Methods for passing parameters by value and by reference.

13) Recursion. Compilation of recursive algorithms. Tracing recursive algorithms.

USE

1) Features of conducting, checking and appealing the exam in computer science.

2) Registration of solutions to tasks of the second part of the exam.

3) Examples of tasks from previous years and methods for solving them.

4) Carrying out and analysis of trainings.


Computer science. teachers


		Merzlyakov Vasily Vladimirovich Department head Graduated from the Faculty of Computational Mathematics and Cybernetics of Lomonosov Moscow State University and Faculty of Pedagogical Education, Lomonosov Moscow State University M.V. Lomonosov with honors. She has extensive experience working with gifted children. USE Expert. Works with specialized groups in grades 10-11.



		Vladimir Vladimirovich Usatyuk Informatics teacher at the boarding school A.N. Kolmogorova (SSC MSU). Programmer researcher at Paragon Software.

Physics teacherGOBU "Phystech- lyceum» nameP.L.Kapitsa.

Total work experience - 36 years. Teaching experience - 33 years.

Thrice Soros teacher,

Seven-time laureate"All-Russian competition of teachers of physics and mathematics" in the nomination "Mentor of Future Scientists",

Honorary Worker of General Education of the Russian Federation,

Winner of the competition of the best teachers of Russia 2006,

Awarded the medal "People's recognition of pedagogical work",

Tired teacher of the Russian Federation.

Russian language

Grade 9

Grade 10

Grade 11

Robotics

Target: Teach the child to solve technical and technological issues and give engineering knowledge in accordance with age.

Programming

2-3 grade
Basic arithmetic in Python:

Arithmetic operations.
Fractions.
Measure.
Units.
Share of number.

Point, line, angle.
Simple figures.
Perimeter.
Square.
number beam.
Coordinate plane.

4th grade

Arithmetic operations: repetition and consolidation.
Fractions and operations with fractions.
Simple equations.
The processes of movement of one body (speed, time, distance),
Work processes (labor productivity, time, volume of work)

Building simple shapes with given dimensions
Regular polygons.
Spirals.
Circle and circle elements.
Objects of rotation: ball, cylinder, cone.
Rotate, translate, scale

5th grade

Ordinary and decimal fractions: repetition and consolidation.
Equations and formulas.
Numbers and scales.
Area and volume of figures
Graphs

Elements of logic and logical operations
Branch operators.
Loop operators.
Creation of scenes and objects.

6th grade

Graphics Primitives
Relationships and proportions
Perpendicular and parallel lines
Creating Simple Objects
Movement of simple objects
Interaction of objects with each other

Variable types
Main Operators
Coordinate relation methods
Creating Your Own Functions
Touch, drag and drop

7th grade

Elements of combinatorics
random phenomena
Probability of a random event
Probability addition formula
Probability Multiplication Formula

Data collection
Data processing
Data exploration
Simple statistical analysis
Linear function and its graphs
Data visualization
Fundamentals of Modeling in UML
Basic UML elements
Communication of UML elements
Simple UML Models

8th grade

Options
Power function
Equations and inequalities
Basics of optimization
Software Engineering in UML
Objects and classes
Principles of object-oriented programming
Process Models in UML

Medical biophysical engineering

Creation

In our classes, children get acquainted with the wonderful world of ceramics.

Ceramics is one of the oldest art forms. Plasticity of clay, its ubiquitous distribution, ability
in combination with water to take any form, as well as the ability to harden as a result of quenching in fire - determined its important
importance in human life.

Conducted by a professional ceramic artist.

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Mfti preparation for the exam. Training courses. Medical biophysical engineering

(2019-2020 academic year, Beginning of classes from October 1)

Physics

Mathematics

Grade 2

3rd grade

4th grade

5th grade

6th grade

7th grade

8th grade

Grade 9

Grade 10

Grade 11

Olympic physics

Olympiad Mathematics

Computer science

Russian language

Robotics

Programming

Medical biophysical engineering

Creation

(2019-2020 academic year, Beginning of classes from October 1)

Physics

Mathematics

Grade 2

3rd grade

4th grade

5th grade

6th grade

7th grade

8th grade

Grade 9

Grade 10

Grade 11

Olympic physics

Olympiad Mathematics

Computer science

Russian language

Robotics

Programming

Medical biophysical engineering

Creation

Collection of ideal social studies essays

Anti-Soviet rebellion in Hungary (1956)

(2019-2020 academic year,
Beginning of classes from October 1)

(2019-2020 academic year,
Beginning of classes from October 1)