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Methodical recommendation:

Theory

Number Name Description
1. A monomial and its standard form Monomer, monomer simplification, monomer normal form, monomer quotient, monomer degree, similar monomers.
2. Similar monomials Similar, same, opposite monomers.
3. Addition and subtraction of monomials Addition and subtraction of monomers
4. Multiplication or division of a monomial by a number Multiplication and division by monomers. Multiplication of monomers.
5. Multiplication of monomials Multiplication and division by monomers. Multiplication of monomers.
6. Division of monomials Theory and examples of monomer division.
7. Operations with monomials as fractions Operations with monomers in the form of parts.
8. Raising a monomial to a power Monomer Raising Grade

Practice Questions

Number Name Type Difficulty Marks Description
1. A monomial coefficient and degree 2nd type - interpretation medium 6 m. Fill in the table, determine the coefficients and grades of the monomer!
2. The value of the algebraic expression. Multiplication 2nd type - interpretation easy 3 m. Calculation of the value of an algebraic expression, product.
3. A coefficient and a degree of a monomial 2nd type - interpretation easy 2 m. Determination of the degree and coefficient of the monomial.
4. Sum of monomials 1st type - receptive easy 3 m. Adding the monomers
5. A coefficient and a degree of a monomial (fill in the table) 2nd type - interpretation easy 3 m. Determining the degree and coefficient of the monomial, the results are recorded in the table.
6. A numerical value of a monomial 2nd type - interpretation medium 4 m. Insert two integers.
7. Determine the coefficient and degree of the monomial 1st type - receptive medium 4 m. Determine the degree and coefficient of the given monomer
8. Addition and subtraction of monomials 2nd type - interpretation medium 4 m. Simplification of expression.
9. Standard form of the monomial 2nd type - interpretation medium 4 m. Bringing the monomial to standard form.
10. Equation solution 2nd type - interpretation medium 4 m. To solve the equation, its left side to the monomial of the standard form is first simplified.
11. The numerical value of the monomial 2nd type - interpretation medium 4 m. The calculation of the numerical value of the monomial.
12. Defining rectangle sides 3rd type - analysis hard 8 m. We make the equation, having the aspect ratio of the rectangle. The left side of the equation is converted to a monomial of the standard form. Having solved the equation, we find the sides of the rectangle.
13. Calculation of dimensions of a rectangular box 3rd type - analysis hard 8 m. We draw up the equation, having a relationship between the dimensions of a rectangular box. The left side of the equation is converted to a monomial of the standard form. Having solved the equation, we find the dimensions of the rectangular parallel piped.
14. Monomials with the same variable factors 3rd type - analysis hard 8 m. It is proposed to bring monomials to a standard form and define monomials with the same letter part.

Questions for Teacher Use

Number Name Type Difficulty Marks Description
1. Monomial definition Other easy 3 m. Using the definition of a monomial, we conclude whether this expression will be a monomial or not.
2. The numerical value of the monomial Other easy 3 m. The value of the monomial is determined for a certain value of the variables included in it.
3. Standard form of the monomial Other medium 5 m. The monomial is converted to the standard form, and then its coefficient is called.
4. Dimensions of a rectangular box Other hard 8 m. We compose the equation, having the ratio of the dimensions of a rectangular box. The left side of the equation is converted to a monomial of the standard form. Having solved the equation, we find the dimensions of the rectangular parallelepiped.

Tests

Number Name Recomended time: Difficulty Marks Description
1. Training on the concept of a monomial 00:20:00 easy 5.5 m. Concept of a monomial

Periodic assessments

Number Name Recomended time: Difficulty Marks Description
1. Verification work on the topic Standard view of the monomial 00:20:00 medium 10 m. Standard view of the monomial
2. Progressive test for standard form of monomer 00:20:00 medium 6 m. Monomer standard form