Middle classes

Description

Natural Numbers and Arithmetic Operations
Refresh your memory on what you already know about natural numbers and practice solving examples with them.
Example topics:
– Comparison of natural numbers.
– How to check if a calculation is correct using the laws of multiplication and division.
– Dividing multi-digit numbers at once and with a remainder.
– Actions with multi-digit numbers.

Geometric Figures and Magnitudes
We will review what we have already learned about shapes and magnitudes in geometry and deepen our knowledge. We will talk about properties and signs of shapes and learn how to use sin, cos, tg and ctg to solve geometric problems.
Examples of topics:
– Parallel lines: properties and signs.
– Inequality of a triangle.
– Inscribed and central angles.
– Thales’ theorem.
– Properties and signs of figures: trapezoid, parallelogram, rhombus, square, etc.

Text Exercises
Building on the knowledge of previous classes, we will get acquainted with new kinds of text problems. We will also learn how to solve them in different ways.
Examples of topics:
– Zadachas on percentages.
– Tasks for fractions.
– Collaborative tasks.
– Zadachas with volumetric shapes.
– Tasks with square and rational equations.
– Solving problems graphically.

Functions and Their Graphs
Introduce you to a new concept from mathematics, functions, and learn how to use their graphs to solve problems.
Example topics:
– Inverse proportionality and its graph.
– Linear function and its graph.
– The graph of a function of the form y = x2 and y = x3.
– The graph of a linear equation with two variables.

Actions with Polynomials and Degrees
We’ll learn what monomials and polynomials are, and how to do operations with them. We will also get to grips with calculations with powers and square roots.
Sample topics:
– Abbreviated multiplication formulas.
– Adding and subtracting polynomials.
– Multiplying a monomial by a polynomial.
– Removing a common factor from parentheses.
– Multiplication of a polynomial by a polynomial.
– Multiplication and division of powers.
– Exponentiation of a single polynomial.

Logic, Statistics, and Data Analysis
Practice logical and critical thinking, learn how to work with information, and see patterns and analyze statistics.
Sample topics:
– Fundamentals of Probability Theory.
– Collecting and grouping statistical data.
– A visual representation of statistical probability.