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