28/03/2022
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Preparation course for the OGE in mathematics, grade 8 (2022/23 academic year) - free course from Foxford, training 32 lessons, date December 4, 2023.
Miscellaneous / / December 07, 2023
Who will benefit from the course?
The course is suitable for students who want to repeat and systematize topics from grades 5-7, as well as begin preparing for the OGE in mathematics.
What knowledge does the course provide?
The course briefly and systematically examines the theory and tasks of the school mathematics curriculum: plotting graphs, transforming expressions, solving equations, and much more.
What skills does the course provide?
The classes will help you remember and work through all the necessary theory to prepare for the OGE in mathematics, and practice solving problems in algebra and geometry.
We structure knowledge
We will study all the necessary topics, repeat and structure the entire program for grades 5-8 in mathematics.
Practice OGE tasks
We solve tasks and tests with instant answers to get used to the OGE format.
Getting ready in advance
Let's prepare for the OGE at a calm pace without panic or haste.
1. Course teacher: Nina Maksimova
🔥 The average result of students on the OGE is 4.7 out of 5.
🔥Prizener and laureate of the Olympiad named after. L. Euler mathematics teachers.
🔥 Member of the jury and methodological commission of the international festival “Golden Fleece”.
2. The training is suitable for everyone who wants to prepare in advance and not be afraid of the OGE
The course is suitable for students who want to repeat and systematize topics from grades 5-7, as well as start preparation for the OGE in mathematics in order to obtain a good certificate for admission to a specialized class or college.
3. The course provides practice in solving tasks that will appear in the OGE
The course briefly and systematically examines the theory and objectives of the school curriculum in mathematics, which will be encountered at the OGE: plotting graphs, transforming expressions, solving equations and much more other.
4. We manually check samples and homework
We do not leave the written part assignments for self-testing - this is done by OGE experts.
We check “for real”, like in an exam, and as a result you receive detailed feedback. All this is for the sake of speed of preparation and your results.
5. A personal curator will answer questions within two hours, 24/7
The curators understand the program and the subject, so they can easily answer your questions about the course and homework - at any time.
They know well how difficult it can be to prepare and understand your worries.
The most important task of a tutor is to help you cope with stress and fear before exams.
The lesson lasts 2 academic hours. Classes are held online on Tuesdays from 16:00 to 18:00 (Moscow time).
7th grade review
Let's review the main topics of grade 7 algebra and geometry
- Linear equations
- Systems of linear equations
- Linear function
- Polynomials
- Abbreviated multiplication formulas
- Factorization
- Adjacent and vertical corners
- Signs of equality of triangles
- Isosceles triangle
- Parallel lines
- Sum of triangle angles
- Middle line of the triangle
Algebraic fractions
Let's learn how to divide polynomials, and also study operations on algebraic fractions
- Column division of polynomials
- Horner scheme
- Application of polynomial division to solving equations
- Algebraic fractions
- Reduction
- Addition and subtraction
- Multiplication and division of algebraic fractions
- Converting rational expressions
Powers and roots
We will explore a power with an integer exponent and its properties, and also find out what an arithmetic square root is and what properties it has
- Degree with natural and integer exponent
- Standard number view
- Irrational numbers
- Arithmetic square root
- Properties of roots
- Converting expressions with roots
Quadratic equations
Let's get acquainted with quadratic equations and ways to solve them. We will learn which equations can be reduced to quadratic equations, and also learn how to solve more complex word problems
- Quadratic equations
- Incomplete quadratic equations
- Selecting a complete square
- Discriminant of a quadratic trinomial
- Factoring a quadratic trinomial
- Vieta's theorem
- Problems on the application of Vieta's theorem
- Equations reducing to quadratic
- Variable change method and biquadratic equations
- Equations reducing to quadratic
- Fractional rational equations
- Problems involving movement in a straight line and on water
Functions
Let's explore the quadratic function and the inverse proportionality function and learn how to build their graphs. We’ll also learn how to transform graphs and build graphs of piecewise continuous functions.
- Function y=k/x
- Quadratic function
- Convert graphs
- Piecewise continuous functions
- Repetition. Algebra
Triangles
Let's deepen our knowledge of right triangles, learn how to calculate the area of a triangle, and also explore similar triangles
- Right triangle
- Pythagorean theorem
- Sine, cosine, tangent and cotangent of an acute angle in a right triangle
- Area of a triangle
- Ratio of areas of triangles
- Property of the bisector of a triangle
- Similar triangles
- Signs of similarity
Quadrilaterals
Let's get acquainted with various convex quadrilaterals, their properties and area formulas
- Parallelogram
- Properties and signs
- Area of a parallelogram
- Trapezoid
- Midline of trapezoid
- Area of the trapezoid
- Rhombus, rectangle and square
- Squares
Circle
Let's find out what angles there are in a circle, as well as what an inscribed and circumscribed circle is.
- Circumference
- Tangent to a circle
- Inscribed and central angles
- Circle circumscribed about a triangle
- Circle inscribed in a triangle
- Inscribed quadrilateral
- Circumscribed quadrilateral
- Repetition
- Geometry
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