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Methodical recommendation:
Theory
Number | Name | Description |
---|---|---|
Number 1. | Name A monomial and its standard form | Description Monomer, monomer simplification, monomer normal form, monomer quotient, monomer degree, similar monomers. |
Number 2. | Name Similar monomials | Description Similar, same, opposite monomers. |
Number 3. | Name Addition and subtraction of monomials | Description Addition and subtraction of monomers |
Number 4. | Name Multiplication or division of a monomial by a number | Description Multiplication and division by monomers. Multiplication of monomers. |
Number 5. | Name Multiplication of monomials | Description Multiplication and division by monomers. Multiplication of monomers. |
Number 6. | Name Division of monomials | Description Theory and examples of monomer division. |
Number 7. | Name Operations with monomials as fractions | Description Operations with monomers in the form of parts. |
Number 8. | Name Raising a monomial to a power | Description Monomer Raising Grade |
Practice Questions
Number | Name | Type | Difficulty | Marks | Description |
---|---|---|---|---|---|
Number 1. | Name A monomial coefficient and degree | Type 2nd type - interpretation | Difficulty medium | Marks 6 m. | Description Fill in the table, determine the coefficients and grades of the monomer! |
Number 2. | Name The value of the algebraic expression. Multiplication | Type 2nd type - interpretation | Difficulty easy | Marks 3 m. | Description Calculation of the value of an algebraic expression, product. |
Number 3. | Name A coefficient and a degree of a monomial | Type 2nd type - interpretation | Difficulty easy | Marks 2 m. | Description Determination of the degree and coefficient of the monomial. |
Number 4. | Name Sum of monomials | Type 1st type - receptive | Difficulty easy | Marks 3 m. | Description Adding the monomers |
Number 5. | Name A coefficient and a degree of a monomial (fill in the table) | Type 2nd type - interpretation | Difficulty easy | Marks 3 m. | Description Determining the degree and coefficient of the monomial, the results are recorded in the table. |
Number 6. | Name A numerical value of a monomial | Type 2nd type - interpretation | Difficulty medium | Marks 4 m. | Description Insert two integers. |
Number 7. | Name Determine the coefficient and degree of the monomial | Type 1st type - receptive | Difficulty medium | Marks 4 m. | Description Determine the degree and coefficient of the given monomer |
Number 8. | Name Addition and subtraction of monomials | Type 2nd type - interpretation | Difficulty medium | Marks 4 m. | Description Simplification of expression. |
Number 9. | Name Standard form of the monomial | Type 2nd type - interpretation | Difficulty medium | Marks 4 m. | Description Bringing the monomial to standard form. |
Number 10. | Name Equation solution | Type 2nd type - interpretation | Difficulty medium | Marks 4 m. | Description To solve the equation, its left side to the monomial of the standard form is first simplified. |
Number 11. | Name The numerical value of the monomial | Type 2nd type - interpretation | Difficulty medium | Marks 4 m. | Description The calculation of the numerical value of the monomial. |
Number 12. | Name Defining rectangle sides | Type 3rd type - analysis | Difficulty hard | Marks 8 m. | Description 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. |
Number 13. | Name Calculation of dimensions of a rectangular box | Type 3rd type - analysis | Difficulty hard | Marks 8 m. | Description 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. |
Number 14. | Name Monomials with the same variable factors | Type 3rd type - analysis | Difficulty hard | Marks 8 m. | Description 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 |
---|---|---|---|---|---|
Number 1. | Name Monomial definition | Type Other | Difficulty easy | Marks 3 m. | Description Using the definition of a monomial, we conclude whether this expression will be a monomial or not. |
Number 2. | Name The numerical value of the monomial | Type Other | Difficulty easy | Marks 3 m. | Description The value of the monomial is determined for a certain value of the variables included in it. |
Number 3. | Name Standard form of the monomial | Type Other | Difficulty medium | Marks 5 m. | Description The monomial is converted to the standard form, and then its coefficient is called. |
Number 4. | Name Dimensions of a rectangular box | Type Other | Difficulty hard | Marks 8 m. | Description 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 |
---|---|---|---|---|---|
Number 1. | Name Training on the concept of a monomial | Recomended time: 00:20:00 | Difficulty easy | Marks 5.5 m. | Description Concept of a monomial |
Periodic assessments
Number | Name | Recomended time: | Difficulty | Marks | Description |
---|---|---|---|---|---|
Number 1. | Name Verification work on the topic Standard view of the monomial | Recomended time: 00:20:00 | Difficulty medium | Marks 10 m. | Description Standard view of the monomial |
Number 2. | Name Progressive test for standard form of monomer | Recomended time: 00:20:00 | Difficulty medium | Marks 6 m. | Description Monomer standard form |