Courses in algebra and geometry - course 51,136 rubles. from SkySmart, training 64 online classes, Date: December 3, 2023.
Miscellaneous / / December 07, 2023
1. Let's warm up
- We solve simple problems in algebra and geometry
2. Checking your homework
- If there were difficulties, we deal with them together
3. Getting to know the topic of the lesson
- Teacher explains new material to a student
4. Sharpening your skills
- If there are no questions on theory, the student moves on to practice on problems in algebra and geometry
We'll show you how to fall in love with algebra and geometry.
The student learns the other side of subjects - exciting and trendy
We will customize the program according to your level of preparation
There is no one-size-fits-all approach at Skysmart - we create lessons based on the student’s goals and knowledge
Let's improve your independent work skills
If homework is difficult, we will help you fix it
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. 7th grade
In the course on algebra and geometry for the 7th grade, students will remember the educational program of previous school years and immerse themselves in new topics. During algebra classes, teenagers will learn:
what are identities and how to transform identical expressions;
how to solve problems using linear equations;
how to graph functions;
how to correctly write, multiply and divide powers;
what is a monomial and a polynomial;
how to add, subtract and multiply polynomials and monomials;
how to remember abbreviated multiplication formulas without cramming;
how to solve systems of linear equations and much more.
In the lessons we devoted to geometry, the teacher will help students understand more complex topics and teach them how to solve new types of problems. Together they will learn:
what are the angles?
how to measure and compare angles and segments;
what criteria can be used to determine the equality of triangles;
what is the median, bisector, height and midline of a triangle;
how can you understand that the lines are parallel;
what is the sum of the angles of a triangle?
how to correctly construct a circle and other shapes;
what properties does an isosceles triangle have and much more.
2. 8th grade
During our 8th grade algebra and geometry classes, students will continue to learn about fractions. They will remember how to cancel and add and subtract fractions with like denominators. After this, the teacher will tell the students how to multiply and divide fractions and decimals.
Another topic that the tutor and student will discuss in algebra lessons is square roots. In online classes, students will learn:
what is a square root?
how to find approximate square root values;
how to calculate the square root of a product, fraction, and exponent;
how to convert expressions with square roots and much more.
Also, in classes with a teacher, eighth-graders will dive deeper into the topics of equations and inequalities. During the lessons, students will understand:
what is a quadratic equation and how to find their roots;
how to solve problems using quadratic equations;
why Vieta's theorem is needed;
how to solve equations graphically;
how to compare numbers and what inequalities are;
how to add and multiply numerical inequalities;
how to solve systems of inequalities and much more.
In geometry lessons, 8th grade students will repeat the material they studied in previous school years and master new topics. Together with the teacher they will find out:
how to solve problems and do homework with parallelograms, trapezoids, rhombuses and other shapes;
what are central and axial symmetries;
what is Thales' theorem?
how to solve problems using the Pythagorean theorem;
what are the signs of similarity of triangles;
what does the basic trigonometric identity sound like?
what are sine, cosine, tangent and cotangent;
how to solve problems with inscribed and circumscribed circles, and much more.
3. 9th grade
In the 9th grade, students will have new, more complex topics and tasks to prepare for the OGE. In algebra classes, students will learn:
build graphs of linear-fractional, quadratic, power and other functions, as well as understand their properties;
find roots of square trinomials;
use the interval method;
solve irrational equations and inequalities;
understand probability theory;
solve problems on arithmetic and geometric progression, etc.
During algebra and geometry classes, the teacher will help students repeat what they have already covered and understand new topics. Together they will learn:
what is a vector;
how to add and subtract vectors, as well as multiply them by a number;
what are coordinates and how to solve problems using the coordinate method;
which polygon is called regular;
how to calculate the area of a prism, pyramid, sphere, cone and sphere, and much more.
4. Preparation for the Unified State Exam
In 10th and 11th grades students will engage in individual preparation for exams and repeat topics covered during the entire algebra and geometry course. In class they will remember:
how to work with graphs and diagrams;
what properties do fractions have?
how to solve problems involving percentages;
what are logical chains;
how to solve problems on probability theory;
how to build and analyze graphs correctly;
how to solve equations: linear, quadratic, fractional rational and systems of equations;
how to use addition and reduction formulas from trigonometry;
what are logarithms and how to solve logarithmic equations;
how to solve problems and understand the properties of figures: rectangle, triangle, parallelepiped, prism, pyramid, cylinder, cone, sphere, etc.
how to solve linear and quadratic inequalities, systems of inequalities and much more.