Geometry course for grade 10 (basic level) - free course from Foxford, training 30 lessons, Date: December 5, 2023.
Miscellaneous / / December 08, 2023
In this course you will become familiar with the axioms of stereometry, the relative position of a line and a plane, polyhedra, and learn what parallel and central are. design, orthogonal projection of a figure, the method of “auxiliary volumes” when solving stereometric problems, learn to solve problems on constructing sections and not only.
Who will benefit from the course?
During the course, you will gain solid knowledge of the basic geometry program for grade 10, fill in the gaps and prepare for certification, and also develop the skills and abilities that are required by the Federal State Educational Standard.
What knowledge does the course provide?
The basis of the course is UMC L.S. Atanasyan "Geometry grades 10-11". You will become familiar with the axioms of stereometry, learn what parallel and central projection and orthogonal projection of a figure are.
How the course works
In addition to webinars, you will find in the course a large number of tasks of different levels of complexity for any educational purpose, and control tests will allow you to assess what score to expect at certification.
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.
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.
Introduction
- Basic concepts of stereometry. Axioms of stereometry and their consequences
Parallelism of straight lines and planes in space
- Parallelism of straight lines, line and plane
- The relative position of lines in space. Angle between two straight lines
- Parallelism of planes
- Parallel and central design, image of spatial figures on a plane
- Initial concepts about polyhedra
Construction of sections. Sectional area
- Basic rules and principles for constructing sections
- Constructing sections using the trace method and finding cross-sectional areas
Perpendicularity of lines and planes
- Perpendicularity of lines in space
- Perpendicularity of a straight line and a plane
- Perpendicular to the plane and inclined
- Theorem of three perpendiculars
- Finding the angle between a straight line and a plane
- Dihedral angle. Angle between planes
- Perpendicular planes. Sign of perpendicularity of two planes
- Orthogonal projection of a figure
Polyhedra, surface areas and volumes of polyhedra
- Polyhedra
- Prism
- Pyramid
- Regular polyhedra
Vectors in space
- Vectors in space, actions on vectors
- Coplanar vectors, decomposition of a vector into three non-coplanar vectors