(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. Methods of oral addition and subtraction of two-digit numbers. Recording addition and subtraction of two-digit numbers in a column. Addition and subtraction of two-digit numbers with the transition through the discharge.
2. Associative property of addition. Subtracting a sum from a number. Subtracting a number from a sum. Using the properties of addition and subtraction to streamline calculations.
3. Multiplication and division of natural numbers.
4. Particular cases of multiplication and division with 0 and 1.
5. Commutative property of multiplication.
6. Multiplication table. Table multiplication and division of numbers.
7. Associative property of multiplication. Multiplication and division by 10 and 100. Multiplication and division of round numbers.
9. The order of operations in expressions containing addition, subtraction, multiplication and division (with and without brackets).
10. Distributive property of multiplication. The rule for dividing a sum by a number. Outside tabular multiplication and division. Oral techniques outside of tabular multiplication and division. Using the properties of multiplication and division to streamline calculations.
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 them1. Counting in thousands. Digits and classes: class of units, class of thousands, class of millions, etc. Numbering, comparison, addition and subtraction of multi-digit numbers
(within 1,000,000,000,000). Performance natural number as a sum of bit terms.
2. Multiplication and division of numbers by 10, 100, 1000, etc. Written multiplication and division (without a remainder) of round numbers.
3. Multiplication of a multi-digit number. Write multiplication in a column.
Division of a multi-digit number. Record division by an angle.
Oral addition, subtraction, multiplication and division of multi-digit numbers in cases that can be reduced to operations within 100. Simplification of calculations with multi-digit numbers based on the properties of arithmetic operations.
Construction and use of algorithms for the studied cases of oral and written actions with multi-digit numbers.
The order of operations with and without brackets.
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.1. Evaluation and estimation of the sum, difference, product, quotient.
2. Checking the correctness of calculations.
3. Fractions. A visual representation of fractions using geometric figures and on a numerical beam. Compare fractions with the same denominators and fractions with the same numerators.
4. Division and fractions.
5. Finding a part of a number, a number by its part and a part that one number is from another.
6. Addition and subtraction of fractions with the same denominators.
7. Proper and improper fractions. Mixed numbers. Extracting the integer part from an improper fraction. Representing a mixed number as an improper fraction. Addition and subtraction mixed numbers(with the same denominators of the fractional part).
8. Construction and use of algorithms for the studied cases of operations with fractions and mixed numbers.
9. Expression and its meaning. The order of actions.
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
Integers1. A series of natural numbers. Decimal notation for natural numbers. Rounding natural numbers.
2. Coordinate beam.
3. Comparison of natural numbers. Addition and subtraction of natural numbers.
4. Multiplication and division of natural numbers.
5. Divisors and multiples of a natural number. largest common divisor. Least common multiple. divisibility signs.
6. Prime and composite numbers. Decomposition of numbers into prime factors.
7. Solving text problems using arithmetic methods.
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.
6th grade
1. Elements of logic.2. The concept of negation.
3. Variable. Expressions with variables.
4. Number line. Negative numbers. concept negative number and actions with it. The absolute value of a number.
5. Rational numbers and decimals.
6. Fractions. Actions and expressions with fractions.
7. Tasks for movement.
8. The concept of averages. Average.
9. The concept of relationship. Scale. The concept of proportion and the main property of proportion. Actions with proportions and their transformation.
10. Dependencies between quantities. Direct and inverse proportionality and their graphs. Solving problems with proportions.
11. The concept of interest. percentage growth. Interest tasks.
12. Coefficient. similar terms. Expression conversions.
13. Linear equations. Graphs of dependence of quantities.
14. Solutions of problems with applied content by the method of equations.
15. Logical following and equivalence. Negation of following. Reverse assertions.
16. Images and definitions of geometric concepts.
17. Properties of geometric shapes.
18. Measurement of geometric quantities. Length, area, volume.
7th grade
1. Fractions. Actions with fractions 2. Number modulus. geometric sense module.3. Many. Set elements. Subset.
4. Determination of the degree with a natural indicator. Multiplication and division of powers.
5. Monomial. Actions with monomials. Identities.
6. Polynomial. Calculations of polynomial values and its standard form. Actions with polynomials.
7. Equations. Roots of linear equations with one variable. Problem solving using equations.
8. Factorization. Proof of identities. Solution of equations.
9. Function. Formula. Calculation of function values by formula. Function graph. Mutual arrangement function graphs.
10. Linear equations with two variables and their graphs.
11. Systems of equations. Methods for solving systems of equations. Graphic way. Solving problems using systems of equations.
12. Initial geometric concepts. Line, point, ray, segment. Angles. Angle measurement.
13. Signs of parallelism of two lines. Axiom of parallel lines.
14. Vector. Types and equality of vectors. Actions with vectors. Projection of a vector onto the coordinate axis.
15. Triangles. Signs of equality of triangles.
16. Relations between sides and angles of a triangle. Right triangle.
17. Circle. The length and area of a circle. Ball.
18. Elements of combinatorics. Counting the number of options. Combinations with repetitions. Statistical characteristics.
19. Probability of occurrence of events. The classical scheme for determining probability.
- Grade 9
- Grade 10
- Grade 11
- Arithmetic operations.
- Fractions.
- Measure.
- Units.
- Share of number.
- Point, line, angle.
- Simple figures.
- Perimeter.
- Square.
- number beam.
- Coordinate plane.
- 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
- 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.
- 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
- 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
- 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
8th grade
1. Monomials. Polynomials. Actions with polynomials. Abbreviated multiplication formulas. Expression conversions.Degree with a natural indicator.
2. Function. Formula. Calculation of function values by formula. Function graph.
3. square roots. Approximate extraction of arithmetic square roots. Exact and approximate values.
Function y = x1/2 and its graph.
4. Transformations of expressions containing a root.
5. The function y = 1/x and its graph. quadratic function and her schedule.
6. Quadratic equations. Full square selection method.
7. Modulus of number.
8. Linear function. Graph of a linear function. Graph of the modulus of a linear function.
9. Parameters in equations.
Logical enumeration in tasks with a parameter.
10. Elements of number theory.
11. Divisibility. divisibility signs. Prime and composite numbers. Fundamental theorem of arithmetic.
12. Decomposition into prime factors. Greatest Common Divisor (GCD). Least common multiple (LCM).
14. Triangles. The problem of segment division.
15. Figures on the plane. Areal considerations.
Grade 9
1. Rational equations. Root selection. Acceptable Value Area (ODZ). equivalent transitions. Quadratic equations.Biquadratic Equations. Cubic Equations.
2. Parameters in rational equations. Logical enumeration in tasks with a parameter. Parameters in quadratic equations.
3. Right triangle. Medians, bisectors and heights in a triangle. Formulas for the area of a triangle.
4. Rational inequalities. interval method.
5. Parameters in rational equations and inequalities.
6. Trapeze.
7. Systems of nonlinear equations.
8. Solving problems using systems of equations.
9. Irrational equations. ODZ in irrational equations. equivalent transitions.
10. Equations with modulus.
11. Irrational inequalities. Inequalities with the modulus.
11. Quadrangles.
12. Parameters in irrational equations and inequalities.
13. Problems about division of a segment
14. Sets. Statements. Theorems.
15. Sets on the plane.
16. Areal considerations in solving planimetric problems.
17. Number sequence. Arithmetic and geometric progressions.
18. Circles.
19. Various tasks in planimetry.
Grade 10
1. Decomposition of a polynomial into sets. Cubic equations. Rational equations. Rational inequalities.interval method. Irrational equations. Modulo Equations.
2. Rationalization method for irrational inequalities and inequalities with modulus.
3. Cube. Prism. Parallelepiped. Pyramid. Sections in stereometry.
4. Geometric ideas in solving problems with parameters.
5. Functions and their properties. Inverse function. Parity, periodicity.
6. Perpendicularity of lines and planes. Theorem on three perpendiculars.
7. Trigonometric functions. trigonometric circle. Basic trigonometric formulas.
8. Trigonometric equations.
9. Selection of roots in trigonometric equations.
10. Planimetry. Theorems of sines and cosines.
11. Various stereometric tasks on the topics: sections, perpendicularity of lines and planes.
12. Systems of trigonometric equations.
13. Trigonometric inequalities.
14. Inverse trigonometric functions.
15. Areal considerations in solving geometric problems on the plane.
16. Angle between intersecting lines. The angle between a line and a plane.
17. Number sequence. Sequence limit.
18. Derivative.
19. Vectors.
Grade 11
1. exponential functions. exponential equations.2. Logarithms. Logarithmic equations.
3. Angle between intersecting lines. The angle between a line and a plane.
Distance between intersecting lines.
4. Solution of cubic rational equations. Rational inequalities. interval method.
Rationalization method in inequalities with a modulus, with a root, as well as in exponential and logarithmic inequalities.
6. Vectors and coordinates in space. Solution of stereometric problems coordinate method.
Vector method for solving stereometric problems.
7. Sphere. Ball. Cylinder. Cone.
9. Inscribed and circumscribed spheres.
10. Systems of equations; rational and irrational inequalities (including problems with a parameter).
11. Sections, perpendicularity of lines and planes.
12. Review: trigonometric equations and inequalities, exponential and logarithmic equations and inequalities
(including tasks with a parameter).
13. Solving planimetric problems using algebraic and trigonometric methods.
14. Elements of number theory. Divisibility. divisibility signs. Prime and composite numbers. Fundamental theorem of arithmetic.
Decomposition into prime factors.
15. Elements of financial mathematics.
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.
In grades 10 and 11, the list of topics is almost the same, but there are different degrees of depth and pace of passage.
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. |
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Vladimir Vladimirovich Usatyuk Informatics teacher at the boarding school A.N. Kolmogorova (SSC MSU). Programmer researcher at Paragon Software. |
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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
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:
Problem solving in Python:
Fundamentals of Algebra and Geometry in Python:
Modeling dynamic scenes in Python:
The Beginnings of Probability Theory in Python:
Process Modeling in Python:
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).
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 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
1. Methods of oral addition and subtraction of two-digit numbers. Recording addition and subtraction of two-digit numbers in a column. Addition and subtraction of two-digit numbers with the transition through the discharge.
2. Associative property of addition. Subtracting a sum from a number. Subtracting a number from a sum. Using the properties of addition and subtraction to streamline calculations.
3. Multiplication and division of natural numbers.
4. Particular cases of multiplication and division with 0 and 1.
5. Commutative property of multiplication.
6. Multiplication table. Table multiplication and division of numbers.
7. Associative property of multiplication. Multiplication and division by 10 and 100. Multiplication and division of round numbers.
9. The order of operations in expressions containing addition, subtraction, multiplication and division (with and without brackets).
10. Distributive property of multiplication. The rule for dividing a sum by a number. Outside tabular multiplication and division. Oral techniques outside of tabular multiplication and division. Using the properties of multiplication and division to streamline calculations.
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 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.
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 for given values of 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 them1. Counting in thousands. Digits and classes: class of units, class of thousands, class of millions, etc. Numbering, comparison, addition and subtraction of multi-digit numbers
(within 1,000,000,000,000). Representation of a natural number as a sum of bit terms.
2. Multiplication and division of numbers by 10, 100, 1000, etc. Written multiplication and division (without a remainder) of round numbers.
3. Multiplication of a multi-digit number. Write multiplication in a column.
Division of a multi-digit number. Record division by an angle.
Oral addition, subtraction, multiplication and division of multi-digit numbers in cases that can be reduced to operations within 100. Simplification of calculations with multi-digit numbers based on the properties of arithmetic operations.
Construction and use of algorithms for the studied cases of oral and written actions with multi-digit numbers.
The order of operations with and without brackets.
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.
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.1. Evaluation and estimation of the sum, difference, product, quotient.
2. Checking the correctness of calculations.
3. Fractions. A visual representation of fractions using geometric figures and on a numerical beam. Compare fractions with the same denominators and fractions with the same numerators.
4. Division and fractions.
5. Finding a part of a number, a number by its part and a part that one number is from another.
6. Addition and subtraction of fractions with the same denominators.
7. Proper and improper fractions. Mixed numbers. Extracting the integer part from an improper fraction. Representing a mixed number as an improper fraction. Addition and subtraction of mixed numbers (with the same denominators of the fractional part).
8. Construction and use of algorithms for the studied cases of operations with fractions and mixed numbers.
9. Expression and its meaning. The order of actions.
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 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
Integers1. A series of natural numbers. Decimal notation for natural numbers. Rounding natural numbers.
2. Coordinate beam.
3. Comparison of natural numbers. Addition and subtraction of natural numbers.
4. Multiplication and division of natural numbers.
5. Divisors and multiples of a natural number. Greatest common divisor. Least common multiple. divisibility signs.
6. Prime and composite numbers. Decomposition of numbers into prime factors.
7. Solving text problems using arithmetic methods.
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.
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.
6th grade
1. Elements of logic.2. The concept of negation.
3. Variable. Expressions with variables.
4. Number line. Negative numbers. The concept of a negative number and actions with it. The absolute value of a number.
5. Rational numbers and decimals.
6. Fractions. Actions and expressions with fractions.
7. Tasks for movement.
8. The concept of averages. Average.
9. The concept of relationship. Scale. The concept of proportion and the main property of proportion. Actions with proportions and their transformation.
10. Dependencies between quantities. Direct and inverse proportionality and their graphs. Solving problems with proportions.
11. The concept of interest. percentage growth. Interest tasks.
12. Coefficient. similar terms. Expression conversions.
13. Linear equations. Graphs of dependence of quantities.
14. Solutions of problems with applied content by the method of equations.
15. Logical following and equivalence. Negation of following. Reverse assertions.
16. Images and definitions of geometric concepts.
17. Properties of geometric shapes.
18. Measurement of geometric quantities. Length, area, volume.
7th grade
1. Fractions. Actions with fractions 2. Number modulus. The geometric meaning of the module.3. Many. Set elements. Subset.
4. Determination of the degree with a natural indicator. Multiplication and division of powers.
5. Monomial. Actions with monomials. Identities.
6. Polynomial. Calculations of polynomial values and its standard form. Actions with polynomials.
7. Equations. Roots of linear equations with one variable. Problem solving using equations.
8. Factorization. Proof of identities. Solution of equations.
9. Function. Formula. Calculation of function values by formula. Function graph. Mutual arrangement of graphs of functions.
10. Linear equations with two variables and their graphs.
11. Systems of equations. Methods for solving systems of equations. Graphic way. Solving problems using systems of equations.
12. Basic geometric concepts. Line, point, ray, segment. Angles. Angle measurement.
13. Signs of parallelism of two lines. Axiom of parallel lines.
14. Vector. Types and equality of vectors. Actions with vectors. Projection of a vector onto the coordinate axis.
15. Triangles. Signs of equality of triangles.
16. Relations between sides and angles of a triangle. Right triangle.
17. Circle. The length and area of a circle. Ball.
18. Elements of combinatorics. Counting the number of options. Combinations with repetitions. Statistical characteristics.
19. Probability of occurrence of events. The classical scheme for determining probability.
- Grade 9
- Grade 10
- Grade 11
- Arithmetic operations.
- Fractions.
- Measure.
- Units.
- Share of number.
- Point, line, angle.
- Simple figures.
- Perimeter.
- Square.
- number beam.
- Coordinate plane.
- 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
- 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.
- 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
- 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
- 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
8th grade
1. Monomials. Polynomials. Actions with polynomials. Abbreviated multiplication formulas. Expression conversions.Degree with a natural indicator.
2. Function. Formula. Calculation of function values by formula. Function graph.
3. Square roots. Approximate extraction of arithmetic square roots. Exact and approximate values.
Function y = x1/2 and its graph.
4. Transformations of expressions containing a root.
5. The function y = 1/x and its graph. Quadratic function and its graph.
6. Quadratic equations. Full square selection method.
7. Modulus of number.
8. Linear function. Graph of a linear function. Graph of the modulus of a linear function.
9. Parameters in equations.
Logical enumeration in tasks with a parameter.
10. Elements of number theory.
11. Divisibility. divisibility signs. Prime and composite numbers. Fundamental theorem of arithmetic.
12. Decomposition into prime factors. Greatest Common Divisor (GCD). Least common multiple (LCM).
14. Triangles. The problem of segment division.
15. Figures on the plane. Areal considerations.
Grade 9
1. Rational equations. Root selection. Acceptable Value Area (ODZ). equivalent transitions. Quadratic equations.Biquadratic equations. Cubic equations.
2. Parameters in rational equations. Logical enumeration in tasks with a parameter. Parameters in quadratic equations.
3. Right triangle. Medians, bisectors and heights in a triangle. Formulas for the area of a triangle.
4. Rational inequalities. interval method.
5. Parameters in rational equations and inequalities.
6. Trapeze.
7. Systems of nonlinear equations.
8. Solving problems using systems of equations.
9. Irrational equations. ODZ in irrational equations. equivalent transitions.
10. Equations with modulus.
11. Irrational inequalities. Inequalities with the modulus.
11. Quadrangles.
12. Parameters in irrational equations and inequalities.
13. Problems about division of a segment
14. Sets. Statements. Theorems.
15. Sets on the plane.
16. Areal considerations in solving planimetric problems.
17. Number sequence. Arithmetic and geometric progressions.
18. Circles.
19. Various tasks in planimetry.
Grade 10
1. Decomposition of a polynomial into sets. Cubic equations. Rational equations. Rational inequalities.interval method. Irrational equations. Modulo Equations.
2. Rationalization method for irrational inequalities and inequalities with modulus.
3. Cube. Prism. Parallelepiped. Pyramid. Sections in stereometry.
4. Geometric ideas in solving problems with parameters.
5. Functions and their properties. Inverse function. Parity, periodicity.
6. Perpendicularity of lines and planes. Theorem on three perpendiculars.
7. Trigonometric functions. trigonometric circle. Basic trigonometric formulas.
8. Trigonometric equations.
9. Selection of roots in trigonometric equations.
10. Planimetry. Theorems of sines and cosines.
11. Various stereometric tasks on the topics: sections, perpendicularity of lines and planes.
12. Systems of trigonometric equations.
13. Trigonometric inequalities.
14. Inverse trigonometric functions.
15. Areal considerations in solving geometric problems on the plane.
16. Angle between intersecting lines. The angle between a line and a plane.
17. Number sequence. Sequence limit.
18. Derivative.
19. Vectors.
Grade 11
1. Exponential functions. exponential equations.2. Logarithms. Logarithmic equations.
3. Angle between intersecting lines. The angle between a line and a plane.
Distance between intersecting lines.
4. Solution of cubic rational equations. Rational inequalities. interval method.
Rationalization method in inequalities with a modulus, with a root, as well as in exponential and logarithmic inequalities.
6. Vectors and coordinates in space. Solving stereometric problems by the coordinate method.
Vector method for solving stereometric problems.
7. Sphere. Ball. Cylinder. Cone.
9. Inscribed and circumscribed spheres.
10. Systems of equations; rational and irrational inequalities (including problems with a parameter).
11. Sections, perpendicularity of lines and planes.
12. Review: trigonometric equations and inequalities, exponential and logarithmic equations and inequalities
(including tasks with a parameter).
13. Solving planimetric problems using algebraic and trigonometric methods.
14. Elements of number theory. Divisibility. divisibility signs. Prime and composite numbers. Fundamental theorem of arithmetic.
Decomposition into prime factors.
15. Elements of financial mathematics.
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.
In grades 10 and 11, the list of topics is almost the same, but there are different degrees of depth and pace of passage.
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. |
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Vladimir Vladimirovich Usatyuk Informatics teacher at the boarding school A.N. Kolmogorova (SSC MSU). Programmer researcher at Paragon Software. |
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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
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:
Problem solving in Python:
Fundamentals of Algebra and Geometry in Python:
Modeling dynamic scenes in Python:
The Beginnings of Probability Theory in Python:
Process Modeling in Python:
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.
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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