Algebra course for grade 10 (basic level) - free course from Foxford, training, Date: December 5, 2023.
Miscellaneous / / December 08, 2023
The basis of the course is UMK Sh.A. Alimova “Algebra and the beginnings of mathematical analysis.”
Who will benefit from the course?
During the course, you will gain solid knowledge of the basic algebra 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 UMK Sh.A. Alimova “Algebra and the beginnings of mathematical analysis.” You will study trigonometry in depth. Get acquainted with logarithms and the basics of mathematical analysis.
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.
Root of the natural degree. Degree. Power function
- Consistency limit. Infinitely decreasing geometric progression
- Arithmetic root of natural degree
- Degree with rational and real exponents
- Power function, its properties and graph. Mutually inverse functions
- Equivalent equations and inequalities
- Irrational equations and inequalities
Exponential and logarithmic functions
- Logarithms and their properties. Decimal and natural logarithms
- Exponential function, its properties and graph
- Logarithmic function, its properties and graph
Exponential and logarithmic equations and inequalities
- Exponential equations and inequalities and their systems
- Logarithmic equations and inequalities and their systems
Trigonometric formulas
- Radian measure of angle
- Basic trigonometric identities
- Addition formulas
- Sine cosine and tangent of double, triple and half angles
- Reduction formulas
- Sum and difference of sines and cosines
Trigonometric equations and inequalities
- Equations sin x=a, cos x=a, tan x=a, сtg x=a
- Solving trigonometric equations
- Solving simple trigonometric inequalities
Trigonometric functions
- Properties of the function y=sin x and its graph
- Properties of the function y=cos x and its graph
- Properties of the function y=tg x and y=сtg x and their graphs