- Repetition of what was learned in the 6th grade
- Topic 1. Integer expressions
- Topic 2. Functions
- Topic 3. Linear equations and their systems

Rational numbers and operations with them.
Rational numbers and operations with them.

Rational numbers and operations with them.
Rational numbers and operations with them.

Percentages
Percentages

Whole rational expressions.
Whole rational expressions.

Identical expressions.
Identical expressions.

Identical transformations of expressions.
Identical transformations of expressions.

Degree with a natural exponent.
Degree with a natural exponent.

Degree with a natural exponent.
Degree with a natural exponent.

Properties of a power with a natural exponent
Properties of a power with a natural exponent

Raising a power to a power and a product to a power
Raising a power to a power and a product to a power

Monomial.
Monomial.

Raising mononomials to a power
Raising mononomials to a power

polynomial
polynomial

polynomial
polynomial

Addition and subtraction of polynomials.
Addition and subtraction of polynomials.

Addition and subtraction of polynomials.
Addition and subtraction of polynomials.

Multiplying a monomial by a polynomial.
Multiplying a monomial by a polynomial.

Multiplying a monomial by a polynomial.
Multiplying a monomial by a polynomial.

Decomposition of polynomials into factors by putting the common factor in parentheses.
Decomposition of polynomials into factors by putting the common factor in parentheses.

Decomposition of polynomials into factors by putting the common factor in parentheses.
Decomposition of polynomials into factors by putting the common factor in parentheses.

Multiplying a polynomial by a polynomial.
Multiplying a polynomial by a polynomial.

Multiplying a polynomial by a polynomial.
Multiplying a polynomial by a polynomial.

Decomposition of polynomials into factors by the method of grouping.
Decomposition of polynomials into factors by the method of grouping.

Decomposition of polynomials into factors by the method of grouping.
Decomposition of polynomials into factors by the method of grouping.

The square of the sum and the square of the difference.
The square of the sum and the square of the difference.

The square of the sum and the square of the difference.
The square of the sum and the square of the difference.

Factoring polynomials using sum and difference square formulas.
Factoring polynomials using sum and difference square formulas.

Factoring polynomials using sum and difference square formulas.
Factoring polynomials using sum and difference square formulas.

Multiplying the difference of two expressions by their sum
Multiplying the difference of two expressions by their sum

Factoring the difference of squares of two expressions.
Factoring the difference of squares of two expressions.

Factoring the difference of squares of two expressions.
Factoring the difference of squares of two expressions.

Sum and difference of cubes.
Sum and difference of cubes.

Sum and difference of cubes.
Sum and difference of cubes.

Application of several methods of factoring polynomials.
Application of several methods of factoring polynomials.

Application of several methods of factoring polynomials.
Application of several methods of factoring polynomials.

Functional dependence between quantities as a mathematical model of real phenomena
Functional dependence between quantities as a mathematical model of real phenomena

Function definition.
Function definition.

The scope and scope of a function
The scope and scope of a function

Ways to set a function
Ways to set a function

Graph of the function.
Graph of the function.

Graph of the function.
Graph of the function.

Linear function, its graph and properties
Linear function, its graph and properties

Linear function, its graph and properties.
Linear function, its graph and properties.

Linear function, its graph and properties.
Linear function, its graph and properties.

Modeling of real processes using a linear function.
Modeling of real processes using a linear function.

Modeling of real processes using a linear function.
Modeling of real processes using a linear function.

Modeling of real processes using a linear function.
Modeling of real processes using a linear function.

A linear equation with one variable
A linear equation with one variable

Linear equations as mathematical models of word problems
Linear equations as mathematical models of word problems

A linear equation with two variables and its graph
A linear equation with two variables and its graph

A graph of a linear equation with two variables
A graph of a linear equation with two variables

Systems of two linear equations with two variables
Systems of two linear equations with two variables

Graphic method of solving systems.
Graphic method of solving systems.

Graphic method of solving systems.
Graphic method of solving systems.

Graphic method of solving systems.
Graphic method of solving systems.

Graphic method of solving systems.
Graphic method of solving systems.

Solving systems of linear equations with two variables by the method of substitution.
Solving systems of linear equations with two variables by the method of substitution.

Solving systems of linear equations with two variables by the method of substitution.
Solving systems of linear equations with two variables by the method of substitution.

Solving systems of linear equations with two variables by the method of substitution.
Solving systems of linear equations with two variables by the method of substitution.

Solving systems of linear equations with two variables by the method of substitution.
Solving systems of linear equations with two variables by the method of substitution.

Solving systems of linear equations with two variables by the addition method.
Solving systems of linear equations with two variables by the addition method.

Solving systems of linear equations with two variables by the addition method.
Solving systems of linear equations with two variables by the addition method.

Systems of linear equations as mathematical models of word problems.
Systems of linear equations as mathematical models of word problems.

Solving problems using systems of linear equations with two variables.
Solving problems using systems of linear equations with two variables.

Solving problems using systems of linear equations with two variables.
Solving problems using systems of linear equations with two variables.

Solving problems using systems of linear equations with two variables.
Solving problems using systems of linear equations with two variables.

Solving problems using systems of linear equations with two variables.
Solving problems using systems of linear equations with two variables.
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1st class. Mathematics

3-6 years: English

3-6 years: numbers/counting

6-9 years: science and experiments
