UPSKILL MATH PLUS
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Theory
| Number | Name | Description |
|---|---|---|
| 1. | Abridged multiplication formulas | Formulas of abridged multiplication: squared sum, squared difference, difference squared, proof of formulas. |
| 2. | The square of the sum | Formula of abridged multiplication: the square of the sum, examples of application of the formula. |
| 3. | The square of the difference | Formula of abridged multiplication: the square of the difference, examples of application of the formula. |
| 4. | The difference of squares | Formula of abridged multiplication: the difference of squares, examples of application of the formula. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Check the correct answer using the formula | 1st type - receptive | easy | 3 m. | Validating the use of the squared sum or squared difference formula. |
| 2. | Application of the formula of the difference of squares | 2nd type - interpretation | easy | 3 m. | Applying the square difference formula. |
| 3. | The square of the sum formula, polynomial squaring | 2nd type - interpretation | easy | 3 m. | Sum squared formula; polynomial squaring and expanding. |
| 4. | The difference of squares formula | 2nd type - interpretation | easy | 3 m. | The formula of the difference of squares. |
| 5. | Formula of the square of the difference | 2nd type - interpretation | easy | 3 m. | Formula of the square of the difference; expanding. |
| 6. | Abridged multiplication formulas (statements) | 1st type - receptive | easy | 3 m. | Choose the correct answer. |
| 7. | Product of difference and sum (common fractions) | 2nd type - interpretation | medium | 5 m. | Application of the difference of squares formula (common fractions). |
| 8. | Difference of the squares (powers) | 2nd type - interpretation | medium | 5 m. | Application of the difference of squares formula (powers). |
| 9. | Difference of the squares (decimal fractions) | 2nd type - interpretation | medium | 5 m. | Application of the difference of squares formula (decimal fractions). |
| 10. | Product of sum and difference (integers) | 2nd type - interpretation | medium | 5 m. | Application of the formula. |
| 11. | Value of the expression | 2nd type - interpretation | medium | 4 m. | Apply the abridged multiplication formula to find the value of the expression. |
| 12. | The square of the sum (decimal fractions) | 2nd type - interpretation | medium | 5 m. | Squaring. Binomial to polynomial (decimal fractions) |
| 13. | The square of the difference (common fractions) | 2nd type - interpretation | medium | 5 m. | Squaring. |
| 14. | The square of the sum (trinomial) | 2nd type - interpretation | medium | 5 m. | Expand by the formula. |
| 15. | The square of the difference (trinomial) | 2nd type - interpretation | medium | 5 m. | Replacing a variable with a monomial, applying the formula. |
| 16. | The difference of cubes | 2nd type - interpretation | medium | 5 m. | Application of the formula. |
| 17. | The square of the difference (multiplication by a number) | 2nd type - interpretation | medium | 5 m. | Multiplication by a number. |
| 18. | The product of the sum of two numbers by the incomplete square of their difference | 2nd type - interpretation | hard | 8 m. | Application of the formula for the sum of cubes. |
| 19. | Abridged multiplication formulas (decimal fractions) | 3rd type - analysis | hard | 8 m. | Application of the formulas (difference of squares and squared sum). |
| 20. | The difference of squares (integers) | 3rd type - analysis | hard | 8 m. | Application of the difference of squares formula (integers). |
| 21. | The product of sum and difference (numeric expression) | 3rd type - analysis | hard | 8 m. | Calculation of the value of a numerical expression using the abridged multiplication formula. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | The square of the difference formula | Other | easy | 3 m. | Squaring a polynomial using the difference squared formula. |
| 2. | The square of the sum (integers) | Other | easy | 3 m. | Squaring, applying the formula. |
| 3. | The square of the sum (polynomial) | Other | medium | 5 m. | Replacement of a variable with a monomial, application of the formula. |
| 4. | The product of sum and difference (decimal fractions) | Other | medium | 5 m. | Application of the formula. |
| 5. | Abridged multiplication (the square of the difference) | Other | medium | 5 m. | Application of the formula. |
Tests
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Training on polynomials | 00:15:00 | medium | 16 m. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework on polynomials | 00:20:00 | medium | 21 m. | |
| 2. | Progress test on polynomials | 00:25:00 | hard | 31 m. |
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