Algebra course for grade 10 - course 63,360 rub. 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

An algebra course for grade 10 will help teenagers better master the school curriculum and develop algorithmic thinking skills. In individual online classes, high school students will remember previously covered material and expand their knowledge of mathematics. Each lesson includes an interactive homework assignment so that 10th graders can practice their acquired skills and better remember the information. The course program can be changed depending on the needs of the student and level of preparation.

2. Natural and whole numbers

During the course, 10th graders will remember and study new properties of natural numbers and signs of divisibility, and will also be able to practice solving problems with prime and composite numbers.

3. Rational and irrational numbers

Online school teachers will discuss in detail with students the algorithm for converting an ordinary fraction into an infinite periodic fraction and vice versa. High school students will learn to determine the type of number and distinguish rational numbers from irrational numbers.

4. Number sequences

Together with the teacher, each teenager will learn to apply the properties of arithmetic and geometric progression when solving problems. By completing tasks on the platform, you will practice the skill of summing an infinite convergent geometric progression.

5. Modulus of a real number

In online lessons, 10th graders will remember the definition of number sets and generalize it to real numbers. In addition, they will learn to solve equations and inequalities involving the modulus of a real number.

6. Method of mathematical induction

The 10th grade algebra course also includes an introduction to the method of mathematical induction. During the lessons, students will look at examples of proofs of expressions and equalities and practice solving related problems.

7. Arithmetic root of natural degree

10th grade students will remember the concept of an arithmetic root of a natural power and complete typical tasks using the properties of powers and roots.

8. Rearrangements

As part of the 10th grade algebra course, teenagers will become familiar with the concept of permutations, learn how to calculate factorial and simplify expressions with factorial.

9. Complex numbers

The course introduces the concept of complex numbers. During the lessons, tutors will explain in detail how to perform arithmetic operations on complex numbers, raise to a power and extract roots, and also teach how to solve problems with complex numbers in trigonometric form.

10. Functions

With the help of practical tasks on the platform, 10th graders will become familiar with the properties of numerical, periodic, power, and exponential functions and learn how to build their graphs. They will also get practice exploring functions and solving similar equations and inequalities.

11. Basics of probability theory

Special attention in the algebra course for grade 10 is paid to probability theory. High school students will learn to solve problems to determine the frequency and probability of events, learn the rules for the sum and product of probabilities. Teachers will introduce students to the concepts of combining, arranging, and selecting multiple elements within a theme.