Mathematics courses for 9th grade - course 63,360 rub. 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. Key Topics to Study
In addition to consolidating the material already studied in mathematics courses for the ninth grade, students will have to master new topics. Some of them:
- properties of ordinary fractions;
- properties of decimal fractions;
- equations - linear, quadratic, fractional rational;
- non-standard equations and inequalities;
- inequalities - linear, quadratic;
- interval method;
- properties of the graph of a linear function;
- properties of the graph of a quadratic function;
- arithmetic progression;
- geometric progression.
At Skysmart, individual lessons are held online on an interactive platform, which helps teenagers, while remaining in a familiar environment, feel comfortable with a tutor.
2. Working with word problems
In each online lesson during a 9th grade math course, a teenager will look for ways to solve word problems using the algebraic method.
Some actions that students will have to master in practice:
- construction of basic graphs;
- functions with modules;
- transformation of power expressions;
- transformation of expressions with roots;
- progression word problems;
- word problems on movement on water;
- word problems involving movement in a circle;
- word problems at medium speed.
3. Geometry
In the 9th grade, as part of a block of individual lessons in geometry, schoolchildren will explore the basic properties of planimetric figures and learn to solve the simplest planimetric problems in space. They will have to solve problems with such figures and elements:
- angles and triangles;
- parallelogram and rhombus;
- rectangle and square;
- trapezoid;
- inscribed and central angles;
- chords and tangents.
The teacher will explain how to prove the cosine theorem and the sine theorem and how to use them to solve problems.
4. Probability theory and working with statistics
As part of the 9th grade mathematics course, students participate in workshops on probability theory and statistics. This material is important for the formation of functional literacy, contributes to the development of the skill to perceive and critically analyze information, understand the nature of the probability of real dependencies, produce the simplest probabilistic calculations. Topics to be studied in a ninth grade mathematics course:
- determination of probability;
- equality of events;
- certain and impossible events;
- multiplication of probabilities;
- independent events;
- probabilities of opposite events.
When studying the theory of probability, the student trains to present data in the form of tables, diagrams, graphs, thereby expanding his understanding of the world and methods of its research.
What statistical characteristics of the data set are to be found out: arithmetic mean, median, largest and smallest values, range.