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Mathematics lessons for schoolchildren in grades 5–8 - course RUB 799. from SkySmart, training 1 lesson, Date: December 4, 2023.
Miscellaneous / / December 08, 2023
Let's show the exciting side of mathematics on problems based on situations from the lives and hobbies of teenagers
We will help you master the school curriculum 2 times faster with a normal training schedule twice a week
The student communicates with the teacher, watches videos and solves problems in one tab.
One click and the student is in class
Keep track of your progress in your personal account: homework scores, solved assignments, completed topics.
At the end of each month, the teacher will tell parents about the progress of the course.
“It’s cool to see the fire in the eyes of a student who finally understands a difficult topic. Shall we try together?
“Math is easier than you think. Especially when we teach it using examples that you can understand!”
“I will teach you how to apply even the most complex topics in practice. In our classes, everyone can fall in love with such “complicated” mathematics!”
Natural numbers and arithmetic operations with them
Let's refresh our memory on what we already know about natural numbers and practice solving examples with them.
Examples of topics:
Comparison of natural numbers.
How to check if a calculation is correct using the laws of multiplication and division.
Dividing multi-digit numbers by whole numbers and with a remainder.
Actions with multi-digit numbers.
Geometric shapes and quantities
Let's remember what we have already learned about figures and quantities in geometry and deepen our knowledge. Let's talk about the properties and characteristics of figures, and also learn how to use sin, cos, tg and ctg in solving geometric problems.
Examples of topics:
Parallel lines: properties and characteristics.
Triangle inequality.
Inscribed and central angles.
Thales's theorem.
Properties and characteristics of figures: trapezoid, parallelogram, rhombus, square, etc.
Word problems
Based on the knowledge of previous classes, we will get acquainted with new types of word problems. We will also learn how to solve them in different ways.
Examples of topics:
Problems involving percentages.
Fraction problems.
Collaboration tasks.
Problems with the development of three-dimensional figures.
Problems with quadratic and rational equations.
Solving problems graphically.
Functions and their graphs
Let's get acquainted with a new concept from mathematics - functions, and learn how to use their graphs to solve problems.
Examples of topics:
Inverse proportionality and its graph.
Linear function and its graph.
Graph of a function of the form y = x2 and y = x3.
Graph of a linear equation in two variables.
Operations with polynomials and powers
Let's learn what monomials and polynomials are, and also learn how to perform operations with them. We’ll also look into calculations with powers and square roots.
Examples of topics:
Abbreviated multiplication formulas.
Addition and subtraction of polynomials.
Multiplying a monomial by a polynomial.
Taking the common factor out of brackets.
Multiplying a polynomial by a polynomial.
Multiplication and division of powers.
Raising a monomial to a power.
Logic, statistics and data analysis
We will practice logical and critical thinking, learn to work with information, as well as see patterns and analyze statistics.
Examples of topics:
Fundamentals of probability theory.
Collection and grouping of statistical data.
Visual representation of statistical probability.
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