19/04/2021
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Mathematics courses for grade 10 - course RUB 63,360. from SkySmart, training 9 months, Date: December 5, 2023.
Miscellaneous / / December 08, 2023
1. Warm-up
- Getting into a learning mood and solving problems to warm up
2. Homework review
- If there are questions or answers with errors, we work them out
3. Lesson topic
- We explain the theory at a level that suits the student
4. Practice
- The student solves interactive problems on the topic of the lesson
5. Results and homework
- We evaluate the results of the lesson and progress together with the student
Let's determine the level
In a free introductory lesson, we will find out how many points a student can score now and what results can realistically be achieved during training
We'll show you where points are lost
In online mathematics classes, we will analyze real tasks from the demo version of the exam and work out what students most often get wrong.
Let's prepare without panic
The teacher will help you understand difficult topics and teach you how to cope with stress.
Bachelor and Master of Moscow State Pedagogical University, Master of MIREA. Teaching experience - 10 years
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!
She has been teaching mathematics for 5 years. Shows the subject from a new side
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
She has been teaching mathematics for 2 years. Was a volunteer teacher in a charity project
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. Basic topics to study in algebra
The mathematics course for grade 10 is designed to prepare high school students for the final state certification in the form of a unified state exam.
During online classes, students will master the following topics:
- During online classes, students will master the following topics:
- double argument formulas,
- arccosine, arcsine, arctangent, arccotangent of a number,
- inverse trigonometric functions, their properties and graphs,
- logarithm of a number and its properties,
- power function and properties and graph,
- irrational equations,
- interval method,
- graphical methods for solving equations and inequalities,
- systems of exponential, logarithmic and irrational equations,
- probability and statistics,
- continuous random variables,
- Chebyshev inequality,
- Pascal's triangle
- Bezout's theorem and corollary,
- Bernoulli's theorem,
- Newton-Leibniz formula,
- function y = sinx, its properties, graph and typical problems,
- function y = cosx, its main properties and graph,
- function y = cosx, its properties, graph and typical problems.
2. Working with word problems
In a mathematics course for grade 10, students will have to solve problems using the properties:
- numbers,
- number systems,
- divisibility,
- shares,
- parts,
- percent,
- modules of numbers,
- degrees,
- roots,
- polynomials.
With the help of qualified teachers, schoolchildren will prepare for the mathematics exam and will be able to easily solve the following types of problems:
- with numerical functions and their graphs,
- with trigonometric equations,
- with degree measure of angle,
- with tabular and graphical presentation of data,
- to calculate the areas of plane figures and volumes of bodies of rotation using the integral,
- to determine the frequency and probability of events.
In individual lessons, the tutor will help the tenth grader develop a mathematical style of thinking: induction, deduction, generalization, specification, analysis, synthesis, classification, systematization.
3. Basic topics to study in geometry
The geometry section of the tenth grade mathematics course will help develop spatial concepts and improve the skill of using graphical methods.
During the learning process, students solve problems:
- using the properties of figures on a plane,
- using theorems about triangles and quadrilaterals,
- using vectors and coordinates.
The tenth grade program involves studying the following topics:
- axioms of stereometry and their consequences,
- parallel planes and their properties,
- theorem on a line perpendicular to a plane,
- three perpendicular theorem,
- polyhedron, prism, pyramid and of properties,
- Euler's theorem,
- Cartesian coordinates in space,
- vectors in space,
- area of a curved trapezoid.
4. Working with information and data analysis
In mathematics courses in 10th grade at the Skysmart online school, with the help of teachers, students will regularly practice:
- choose the optimal method for solving the problem,
- analyze and interpret results in the context of the task conditions.
In individual lessons, high school students will use tables and charts to present data.
Students will have to think not only about calculations, but also about the role of the law of large numbers in science, nature and society.
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