Geometry course to prepare for the Unified State Exam - course 63,360 rubles. from SkySmart, training 9 months, Date: December 4, 2023.

My favorite book is Harry Potter, and I am Professor McGonagall in it. I’ll teach you how to bottle actions with numbers, how to cook a problem using a formula, and even how to seal the root of an equation. But as long as you ask questions and do your homework!

My signature learning method is through association: the rule of inheritance for rounding numbers, the rule of friendship for numbers with different signs, and much more. In my free time I play chess and volleyball

I always try to find a common language with students and gain their trust, I am in touch 24/7. In my free time I study English and German, I like to read, mainly English classics

1. General information about the course
A course in geometry to prepare for the Unified State Exam will help teenagers successfully pass the final certification within the framework of school education. The course program is compiled in accordance with the official recommendations of the FIPI and includes all topics that may appear on the exam. During individual online classes, future graduates will study the properties of geometric bodies in space and methods for solving problems in stereometry. Tutors at the Skysmart online school explain the material in detail, and interactive homework allows you to better consolidate the knowledge gained.

2. Properties of geometric figures on a plane
In the first lessons, teenagers will remember the properties of geometric figures on a plane, as well as basic facts about vectors and the coordinate system. By completing tasks on the platform, students will practice calculating the areas and lengths of the sides of polygons and circles.

3. Properties of geometric bodies in space
The geometry course for preparation for the Unified State Exam introduces the basic geometric figures in space and their elements. Schoolchildren will learn the properties of geometric bodies, learn to depict them on a plane, and after graduation course will be able to apply the basic axioms of stereometry and their consequences to solve exam questions tasks.

4. Location of lines in space
The course teachers will explain what intersecting lines in space and the angle between them are, and will also analyze the theorems related to this. Teenagers will learn to calculate measures of angles and distances between intersecting lines. They will study the properties of parallel and perpendicular lines in space.

5. Location of planes in space
In preparation for the final certification, high school students will learn the signs and properties of parallel and planes in space, become familiar with the signs of perpendicularity of planes, straight and plane. Teachers will teach students how to solve problems using the theorem on a line perpendicular to a plane and the theorem on three perpendiculars. Also in this section, teenagers will practice calculating the angle between a line and a plane, finding the distance to a plane from a point, line or other plane.

6. Properties of polyhedra
A geometry course to prepare for the Unified State Exam will introduce high school students to the concept of a polyhedron, its properties and elements. In individual lessons, schoolchildren will learn what a tetrahedron, parallelepiped, prism, pyramid, truncated pyramid, consider the properties of regular polyhedra, practice calculating the lengths of the edges and the area of ​​the faces figures. They will learn to construct sections and calculate the size of a cutting plane, as well as find the area and volume of polyhedra.

7. Bodies of revolution
In this section, students solve problems related to the basic bodies of rotation. Teenagers will learn to depict a cylinder, cone, sphere and ball on a plane, and will practice calculating their volume. Additionally, they will gain an understanding of the sections of these figures, developments of a cylinder and a cone.

8. Movements in space
The geometry course for preparation for the Unified State Exam contains tasks on the topic of movement in space. Students will become familiar with the concepts of parallel translation, central symmetry, symmetry relative to a plane, and learn to apply facts about the movements of bodies when solving problems.