Algebra course for 11th grade - course 63,360 rubles. from SkySmart, training 9 months, Date: December 5, 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

An algebra course for grade 11 will help teenagers develop mathematical abilities and prepare for final certification in school. During the course, each high school student will learn to solve problems in algebra and other related subjects and will improve their general cultural level. Lessons are held individually with a tutor; students complete all assignments and homework on the online school platform. During classes, teachers help consolidate previously learned material and work through issues that are difficult for teenagers.

2. Properties of numbers

As part of the course, 11th graders will remember the types and properties of integers and fractions. Together with the teacher, they will practice solving problems involving percentages and number selection. Particular attention is paid to topics such as number systems, exponentiation, divisibility tests and moduli of numbers.

3. Equations and inequalities

In preparation for the final certification, students will learn to solve linear, quadratic, fractional-rational, logarithmic, trigonometric and exponential inequalities and equations, and also their systems. Course teachers will introduce high school students to the interval method and the graphical method of solving problems.

4. Graph Analysis

In the algebra course for grade 11, schoolchildren will consolidate their knowledge of various types of mathematical functions, learn how to build their graphs, learn properties, methods of transformation and research of functions. After studying this section, they will be able to find extreme points and the largest and smallest values ​​of functions.

5. Trigonometry

Thanks to this section of the course, 11th graders will expand their knowledge of trigonometry, learn basic trigonometry identity and its corollary, as well as formulas for addition of trigonometric functions, reduction formulas, double formulas argument. During the lessons, teenagers will practice solving trigonometric equations and inequalities, and will separately analyze the features of trigonometric functions.

6. Properties of powers and logarithms

During the course, teenagers will remember the concepts of power and logarithm and learn to convert power and logarithmic expressions. With the help of this knowledge, schoolchildren will be able to solve typical equations and inequalities that may be encountered in the Unified State Examination in mathematics.

7. Probability theory

The algebra course program for grade 11 includes an introduction to the basics of probability theory. Future graduates will practice solving probability problems, learn what the probability of a reverse event is and how to find the product of probabilities. School tutors will teach teenagers to use combinatorics methods, Euler diagrams, probability trees, and Bernoulli formulas to solve relevant problems.

8. Word problems

The course materials include a large number of practical tasks from different areas of life. Schoolchildren will learn to solve text problems involving movement, teamwork, searching for the optimal choice, will be able to build logical chains, and use different units of measurement. In addition, at the end of the training, students are offered a block of tasks for ingenuity.