Gobu "Physics and Technology Lyceum" named after P.L. Kapitsa. Courses in the physical technical lyceum

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Testing in mathematics can be done at:

Moscow, metro Novokuznetskaya / Tretyakovskaya, Klimentovsky lane 1, building 1, office. 105 on weekdays from 9 am to 5 pm,

Maths

    1 class

    1. Acquaintance with the symbols of the mathematical language: numbers, letters, comparison signs, addition
    and subtraction, their use for
    constructing statements. Determination of the truth and falsity of statements.
    2.Recognition and naming of geometric shapes in the surrounding world: circle, square, triangle,
    rectangle, cube, ball,
    parallelepiped, pyramid, cylinder, cone.
    3. Names, sequence and designation of numbers from 1 to 9. Reading, writing and comparing numbers
    using the signs =, ≠,>,<.>4. Addition and subtraction of numbers. Addition and subtraction signs. Adding component names
    and subtraction.
    5. Number and digit 0. Comparison, addition and subtraction with the number 0.
    6. Counting in tens and ones.
    7. Composite problems for addition, subtraction and difference comparison in 2 - 4 actions.
    8. Part and whole.
    9. The task is the opposite to the given one.
    10. The concept of magnitude. Measurement of length, mass.
    11. Tree of possibilities.


    2nd grade(2 hours a week, 68 hours in total)

    Numbers and arithmetic operations with them (30 hours).
    Addition and subtraction of two-digit numbers.
    Brackets. The order of actions in expressions containing addition and subtraction
    multiplication and division (with and without parentheses). Multiplication and division of natural numbers.
    Multiplication table. Tabular multiplication and division
    numbers. Division with remainder.
    Working with word problems (19 hours).
    Simple tasks on the meaning of multiplication and division. Multiple comparison tasks. Mutually
    inverse problems. Compound tasks in 2-4 actions for all arithmetic operations within 1000.
    Tasks with literal data. Tasks for calculating the length of a polyline; area and perimeter
    rectangle and square. Addition and subtraction of the studied values ​​when solving problems.

    Rectangle. Square. Properties of the sides and corners of the rectangle and square. Building
    rectangle and square. Rectangular parallelepiped, cube Circle and circle, their center,
    radius, diameter.
    Area of ​​a geometric figure. Direct comparison of figures by area. Measurement
    area. Conversion, comparison, addition and subtraction of homogeneous geometric values.

    Grade 3(2 hours per week, total 68 hours)

    Numbers and arithmetic operations with them (19 hours).
    Multiplication of a multi-digit number by a single-digit number. Writing multiplication in a column.
    Division of a multi-digit number by a single-digit number. Record division by angle.
    Multiplication by a two-digit and three-digit number.

    Compound tasks in 2-4 actions with natural numbers on the meaning of addition, subtraction,
    multiplication and division, difference and multiple comparison of numbers.
    Tasks containing dependencies between quantities.
    Tasks for calculating the areas of shapes made up of rectangles and squares.
    Geometric shapes and sizes (9 hours).
    Units of length: millimeter, centimeter, decimeter, meter, kilometer, the ratio between them.
    Circumference and circle. Shares. Pie charts.
    Angles, triangles, quadrangles.
    Mathematical language and elements of logic (9 hours).
    Lots of. Element of the set. The signs ∈ and ∉. Setting a set by listing its elements
    and property. Empty set. Equal sets. Euler-Venn diagram. Subset.
    The signs ⊂ and ⊄.
    Intersection of many. The ∩ sign. Intersection properties of sets.
    Union of sets. The ∪ sign. Union properties of sets.

    4th grade(2 hours per week, total 68 hours)

    Numbers and arithmetic operations with them (19h).
    Fractions. A visual representation of fractions using geometric shapes and on the number ray.
    Comparison of fractions with the same denominator and fractions with the same numerators.
    Division and fractions. Addition and subtraction of fractions with the same denominator.
    Correct and Incorrect Fractions. Mixed numbers. Select whole part
    from an improper fraction.
    Improper fraction representation of a mixed number.
    Addition and subtraction of mixed numbers (with the same fractional denominators).
    Working with word problems (30 hours).
    Composite tasks in 2-5 actions with natural numbers for all arithmetic operations,
    difference and multiple comparison. Addition, Subtraction and Difference Problems
    comparison of fractions and mixed numbers.
    Tasks for the simultaneous uniform movement of two objects towards each other, in
    opposite directions, in pursuit, lagging behind.

    Geometric shapes and sizes (19 hours).
    Corners. Expanded corner. Adjacent and vertical corners. Central corner and corner,
    inscribed in a circle.
    Measurement of angles. Plotting corners with a protractor.

    Grade 5(2 hours a week, 68 hours in total)

    Numbers and arithmetic operations with them 17h
    Addition and subtraction of natural numbers, addition properties.
    Solution of word problems. Numeric expression. A literal expression and its numeric value.
    Solving linear equations.
    Multiplication and division of natural numbers, properties of multiplication. Square and cube numbers.
    Solution of word problems.
    Geometric shapes and sizes 17h
    Calculations by formulas. The rectangles are its area. Units of area.
    Rectangular parallelepiped. Layout of a rectangular parallelepiped.
    The volume of a rectangular parallelepiped.
    Ordinary fractions and arithmetic operations with them 17h
    Circumference and circle. An ordinary fraction. Basic problems for fractions.
    Comparison of ordinary fractions. Addition and subtraction of ordinary fractions,
    mixed numbers, multiplication and division of ordinary fractions by a natural number.
    Decimal fractions and arithmetic operations with them 17h
    Decimal. Comparison, rounding, addition and subtraction, multiplication and division
    decimal fractions. Average. Solution of word problems.
    An introduction to calculating the calculator. Interest. The main tasks for interest.
    Examples of tables and diagrams.
    6th grade
    1. Elements of logic.
    2. The concept of denial.
    3. Variable. Variable expressions.
    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 decimal fractions.
    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 using proportions.
    11. Concept of interest. Percentage growth. Interest tasks.
    12. Coefficient. Similar terms. Expression transformations.
    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. Denial of following. Reverse statements.
    16. Images and definitions of geometric concepts.
    17. Properties of geometric shapes.
    18. Measurement of geometric values. Length, area, volume.
    7th grade
    1. Fractions. Actions with fractions 2. Modulus of number. The geometric meaning of the module.
    3. A lot. Elements of the set. Subset.
    4. Determination of the degree with a natural indicator. Multiplication and division of degrees.
    5. Monomial. Actions with monomials. Identities.
    6. Polynomial. Calculating the values ​​of a polynomial and its standard form. Actions with polynomials.
    7. Equations. Roots of linear equations in one variable. Solving problems using equations.
    8. Factorization. Proof of identities. Solving equations.
    9. Function. Formula. Calculating the values ​​of a function using a 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. Graphical way. Solving problems using systems of equations.
    12. Initial geometric concepts. Line, point, ray, segment. Corners. Measurement of angles.
    13. Signs of parallelism of two straight lines. Axiom of parallel lines. 14. Vector. Types and equality of vectors. Actions with vectors. The projection of the vector onto the coordinate axis.
    15. Triangles. Signs of equality of triangles.
    16. Relationship between sides and angles of a triangle. Right triangle.
    17. Circumference. The length and area of ​​the circle. Ball.
    18. Elements of combinatorics. Counting the number of options. Combinations with repetitions. Statistical characteristics.
    19. The likelihood of the occurrence of events. The classical scheme for determining the probability.
    8th grade
    1. Monomials. Polynomials. Actions with polynomials. Abbreviated multiplication formulas. Expression transformations.
    Degree with a natural indicator.
    2. Function. Formula. Calculating the values ​​of a function using a 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. Function y = 1 / x and its graph. Quadratic function and its graph.
    6. Quadratic equations. Full square selection method.
    7. Module number.
    8. Linear function. Linear function graph. Plot of the modulus of a linear function. 9. Parameters in equations.
    Logical enumeration in problems with a parameter.
    10. Elements of number theory.
    11. Severability. Divisibility criteria. Prime and composite numbers. The main theorem of arithmetic.
    12. Decomposition into prime factors. Greatest common divisor (GCD). Least Common Multiple (LCM).
    14. Triangles. The problem of dividing a segment.
    15. Figures on a plane. Areal considerations.

Grade 9
1. Rational equations. Selection of roots. Range of permissible values ​​(ODZ). Equivalent transitions. Quadratic equations.
Biquadratic equations. Cubic equations.
2. Parameters in rational equations. Logical enumeration in problems with a parameter. Parameters in quadratic equations.
3. Right-angled triangle. Medians, bisectors, and heights in a triangle. Formulas for the area of ​​a triangle.
4. Rational inequalities. The method of intervals.
5. Parameters in rational equations and inequalities.
6. Trapezoid.
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 module.
11. Quadrangles.
12. Parameters in irrational equations and inequalities.
13. Problems of segment division
14. Sets. Statements. Theorems.
15. Sets on the plane.
16. Areal considerations when solving planimetric problems.
17. Numerical sequence. Arithmetic and geometric progressions.
18. Circles.
19. Different tasks for planimetry.

Grade 10
1. Decomposition of a polynomial into sets. Cubic equations. Rational equations. Rational inequalities.
The method of intervals. Irrational equations. Equations with modulus.
2. Method of rationalization for irrational inequalities and inequalities with modulus.
3. Cube. Prism. Parallelepiped. Pyramid. Sections in stereometry.
4. Geometric ideas for solving problems with parameters.
5. Functions and their properties. Inverse function. Parity, periodicity.
6. Perpendicularity of lines and planes. Three perpendicular theorem.
7. Trigonometric functions. Trigonometric circle. Basic trigonometric formulas.
8. Trigonometric equations.
9. Selection of roots in trigonometric equations.
10. Planimetry. Sine and cosine theorems.
11. Various stereometric tasks on 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 crossed lines. The angle between a straight line and a plane.
17. Numerical sequence. Sequence limit.
18. Derivative.
19. Vectors.

Grade 11
1. Demonstrative functions. Exponential equations.
2. Logarithms. Logarithmic equations.
3. The angle between crossing lines. The angle between a straight line and a plane.
Distance between crossed lines.
4. Solution of cubic rational equations. Rational inequalities. The method of intervals.
Rationalization method in modulus inequalities, with a root, as well as in exponential and logarithmic inequalities.
6. Vectors and coordinates in space. Solution of stereometric problems by the coordinate method.
Vector method for solving stereometric problems.
7. Sphere. Ball. Cylinder. Cone.
9. Inscribed and described spheres.
10. Systems of equations; rational and irrational inequalities (including problems with a parameter).
11. Sections, perpendicularity of straight lines and planes.
12. Repetition: 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 criteria. Prime and composite numbers. The main theorem of arithmetic.
Prime factorization.
15. Elements of financial mathematics.

Olympiad mathematics

    2nd grade(2 hours per week, total 68 hours)

    Numbers and arithmetic operations with them (15 hours).
    Techniques for oral addition and subtraction of two-digit numbers.
    Addition and subtraction of two-digit numbers.
    Brackets. The order of actions in expressions containing addition
    and subtraction, multiplication and division (with and without parentheses).
    Combination property of addition. Subtracting the amount from the number. Subtracting a number from a sum.
    Using addition and subtraction properties to streamline calculations.
    Multiplication and division of natural numbers. The travel property of multiplication.
    Combination property of multiplication. Distribution property of multiplication. Division with remainder
    using models. Division components with remainder, the relationship between them. Division Algorithm
    with the remainder. Checking division with remainder.
    Working with word problems (25 hours).
    Analysis of the problem, construction of graphical models, planning and implementation of the solution.
    Tasks for finding the conceived number.
    Tasks with literal data. Tasks for calculating the length of a polyline; perimeter of the triangle
    and a quadrilateral; area and perimeter of rectangle and square.
    Olympiad tasks.

    Straight line, ray, segment. Parallel and intersecting lines.
    Polyline, the length of the polyline. The perimeter of the polygon.
    Plane. Injection. Straight, acute and obtuse angles. Perpendicular straight lines.
    Rectangular parallelepiped, cube Circle and circle, their center, radius, diameter.
    Compass. Drawing patterns from circles using a compass.
    Composing shapes from parts and splitting shapes into parts. Intersection of geometric shapes.
    Area of ​​a geometric figure. Squares of shapes composed of rectangles and squares.
    The volume of a geometric figure. Volume units and ratios between them. Volume rectangular
    a parallelepiped, the volume of a cube.

    Reading and writing numeric and literal expressions containing addition, subtraction,
    multiplication and division (with and without parentheses). Calculating the values ​​of the simplest literal expressions
    at the given values ​​of the letters.
    Generalized notation of properties of arithmetic operations using letter formulas.
    Determination of the truth and falsity of statements. Construction of the simplest statements of the form
    "True / false that ...", "not", "if ... then ...".
    Construction of ways to solve word problems. Acquaintance with the tasks of logical
    character and ways of solving them.
    Work with information and data analysis (6 hours).
    Operation. The object and result of the operation.
    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.
    Reading and filling in the table. Analysis of table data.
    An ordered enumeration of options. Line networks. Paths. Opportunity tree.

    Grade 3(2 hours per week, total 68 hours)

    Numbers and arithmetic operations with them (25 hours).
    Multiplication and division by two-digit and three-digit numbers. General case of multiplication
    multidigit numbers.
    Oral addition, subtraction, multiplication and division of multidigit numbers in cases where
    reducible to actions within 100.
    Simplification of calculations with multidigit 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.
    Working with word problems (25 hours).
    Analysis of the problem, construction of graphical models and tables, planning and implementation of the solution.
    Search for different solutions.
    Classification of simple problems of the studied types. A general way to analyze and solve a compound problem.
    Tasks for finding numbers by their sum and difference.
    Geometric shapes and sizes (6 hours).
    Convert shapes on a plane. Symmetry of the figures relative to the straight line. Shapes having
    axis of symmetry. Draw symmetrical shapes on checkered paper.
    Rectangular parallelepiped, cube, their vertices, edges and faces. Building a sweep
    and cube and rectangular parallelepiped models.
    Algebraic representations (6 hours).
    The equation. Root of the equation. Many roots of the equation.
    Compound equations that reduce to a chain of simple ones.
    Mathematical language and elements of logic (6 hours).
    Statement. True and false statements. Determination of the truth and falsity of statements.
    The construction of the simplest statements using logical connectives and the words "true / false,
    what ... "," not "," if ..., then ... "," every "," all "," there is "," always "," sometimes ".

    4th grade(2 hours per week, total 68 hours)

    Numbers and arithmetic operations with them (20 hours).
    Shares. Comparison of shares. Finding the fraction of a number and a number by fraction. Percent. Finding part of a number
    the number according to its part and the part which one number is from another. Finding the percentage of a number
    and numbers by percentage.
    Fractions. All kinds of actions with fractions with different denominators.
    Construction and use of algorithms for the studied cases of actions with fractions
    and mixed numbers.
    Working with word problems (20 hours).
    Independent analysis of the problem, building models, planning and implementing the solution.
    Search for different solutions. Correlation of the obtained result with the condition of the problem,
    an assessment of its credibility. Checking the task.
    Tasks for finding the share of the whole and the whole by its share.
    fraction problems: finding a part of a number, a number by its part and a fraction,
    which one number is from another.
    Tasks to find the percentage of a number and a number by its percentage.
    Olympiad tasks.
    Tasks for calculating the area of ​​a right-angled triangle and the areas of figures.
    Geometric shapes and sizes (10 hours).
    Rectangular triangle, its corners, sides (legs and hypotenuse), area, connection
    with a rectangle.
    Exploring the properties of geometric shapes using measurements.
    Algebraic representations (8 hours).
    Inequality. Many solutions to inequality. Severe and non-strict inequality. Signs ≥, ≤.
    Double inequality.
    Solution of the simplest inequalities on the set of non-negative integers
    using a number beam.
    The use of letter symbols to generalize and systematize knowledge.
    Mathematical language and elements of logic (6 hours).
    Acquaintance with the symbolic designation of fractions, fractions, percentages, recording inequalities,
    with the designation of coordinates on a straight line and on a plane, with the language of diagrams and graphs.
    Determination of the truth of statements. Constructing propositions using logical connectives
    and the words "true / false that ...", "not", "if ..., then ...", "each", "all", "there is",
    Always, sometimes, and / or.
    Work with information and data analysis (4 hours).
    Pie, bar and line charts, motion graphs: reading, interpreting data,
    construction.
    Working with text: checking understanding; highlighting the main idea, significant comments
    and examples illustrating them; note-taking.

    Grade 5(2 hours a week, 68 hours in total)

    Numbers and arithmetic operations with them (17 hours).
    Decimal notation for natural numbers. Roman numbering. Comparison of natural numbers.
    Addition and subtraction of natural numbers, addition properties: displaceable and
    combination laws. Numerical and literal expressions, equation concept. Text solution
    tasks in an arithmetic way.
    Multiplication and division of natural numbers. The laws of multiplication: displacement,
    combination and distribution. Procedure for performing actions. Square and cube numbers.
    Division with remainder. Solving word problems in an arithmetic way.
    Geometric shapes and sizes (17 hours).
    Formulas for the area of ​​a rectangle, the volume of a rectangular parallelepiped. Units
    area and volume.
    Geometric shapes: segment, line, ray, triangle. Measuring and plotting line segments.
    Length units. Coordinate beam.
    Injection. Expanded corner. Comparison of angles overlapping. Measurement of angles. Angle bisector.
    Triangle. Properties of the angles of a triangle. Distance between two points. Scale.
    Distance from point to line. Perpendicular straight lines. Mid perpendicular.
    Angle Bisector Properties
    Decimal fractions. Addition and subtraction of decimal fractions. Multiplication and division
    decimal fractions (20 hours). Repetition of common fractions.
    Decimal. Comparison, addition and subtraction of decimal fractions. Rounding numbers.
    Solving word problems in various ways.
    Multiplication and division of decimal fractions. Solving word problems in various ways.
    The arithmetic mean of several numbers.
    Calculation and measurement tools (10 h).
    An introduction to calculating the calculator. Interest. The main tasks for interest:
    finding a percentage of a value, a value by its percentage. Expression of attitude in
    percent in the simplest cases. Pie charts. Angles, measurement of angles.
    Introduction to Probability (4 hrs)
    Reliable, impossible and random events. Combinatorial problems.

SPORT SECTIONS
All sections will start functioning from the moment the sports and recreation center opens.

LYCEUM STUDENTS MAY GET ADDITIONAL INFORMATION ON SPORTS SECTIONS
AT THE TEACHER OF PHYSICULTURE BODUNOVA A.A., THROUGH THE ELECTRONIC JOURNAL

Registration for courses

To enroll in the Preparatory Courses of all forms of study, you must register.

The contract is concluded with the parent (representative) of the student or with the student himself who has reached the age of 18.
Have with you: a passport and a student's photo of 3x4 cm.

GOBU "Phystech Lyceum" them. P.L. Kapitsa
Address: Russia, 141700, Moscow Region, Dolgoprudny, Letnaya Street, 7 (entrance from Raketostroiteley Avenue)

Products of "Scientific Entertainment" in the State Educational Institution "Phystech Lyceum" named after P. L. Kapitsa

GOBU "Phystech Lyceum" named after P. L. Kapitsa opened in a new building on September 1, 2014.

As a result of the first year of operation, Phystech Lyceum took 1st place in the Rating of the best educational organizations of the Moscow region. At the end of the 2015-2016 academic year, the Lyceum was included in the TOP-500 best schools in Russia.

In 2016, the Lyceum received the title:

« The best school in the Moscow region for the quality of education ".

The main goal of the Lyceum is to prepare future students motivated for scientific, engineering and research work. Profile directions:

  • maths
  • physics
  • biology
  • chemistry
  • computer science

Lyceum students are children with increased academic abilities and achievements.

Phystech Lyceum is our pride!

"Scientific Entertainment" is proud that the students of the Lyceum receive knowledge of such a high level with the help of our equipment. Experimental activities in physics, biology and chemistry are carried out exclusively on our digital labs and kits.

According to the results of the Regional Olympiad in Physics (held in January 2017), out of 10 winners - 5 students of the Phystech Lyceum!

In the modern physics rooms of the Phystech Lyceum, work is in full swing every day. Most in demand:

Chemistry and biology classrooms are also equipped with various digital laboratories from Scientific Entertainment.

"Young chemist" and "Young physicist" are favorites of additional education

The Lyceum attaches great importance to extracurricular activities. By tradition, all students choose circles according to their interests and devote them 1-2 hours a day. For example, children come to classes in entertaining chemistry and physics from the 6th grade!

Teachers try to optimize the perception of future Lomonosovs and talk about science in an accessible way. The main helpers in this are our development kits "Young Chemist" and "Young Physicist", and especially our unique methodological guidelines.

The P. L. Kapitsa Phystech Lyceum is an example of the practical implementation of an innovative model of school education.

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