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Methodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| Number 1. | Name Introduction to powers and exponents | Description Introduction about powers and exponents |
| Number 2. | Name What is an exponent? | Description Example on exponents |
| Number 3. | Name Powers with positive and negative exponents | Description Laws of negative exponents |
| Number 4. | Name Power1 or 0 | Description Rules and laws with power 0 and 1 |
| Number 5. | Name Grades of exponents | Description Rules and examples on squaring and cubing of powers |
| Number 6. | Name Negative power | Description Finding the value of negative exponents |
| Number 7. | Name Law of exponents | Description Laws involving powers and exponents |
| Number 8. | Name The normal form of a number | Description Normal number form, number 10 degree, positive and negative multipliers. |
| Number 9. | Name Degrees of single prime numbers | Description The degrees of single digit prime numbers often used |
| Number 10. | Name Division of degrees with identical bases | Description Dividing degrees with same bases. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Area of square | Type 1st type - receptive | Difficulty easy | Marks 3 m. | Description Calculate the area of square using exponents. |
| Number 2. | Name Area of circle | Type 1st type - receptive | Difficulty easy | Marks 3 m. | Description Calculate the area of circle. |
| Number 3. | Name Product of degrees | Type 1st type - receptive | Difficulty easy | Marks 2 m. | Description Using degree properties. |
| Number 4. | Name Product in the form of a degree | Type 1st type - receptive | Difficulty easy | Marks 3.5 m. | Description Record a work as a degree by definition. |
| Number 5. | Name Base and exponent | Type 1st type - receptive | Difficulty easy | Marks 3 m. | Description Determination of base and exponent. |
| Number 6. | Name Squaring of decimals | Type 1st type - receptive | Difficulty easy | Marks 2 m. | Description Exponentiation. |
| Number 7. | Name Product of degrees with identical bases | Type 1st type - receptive | Difficulty easy | Marks 3 m. | Description Representation of an expression as a product of two degrees with the same bases |
| Number 8. | Name The equation | Type 2nd type - interpretation | Difficulty medium | Marks 5 m. | Description The solution of the equation. |
| Number 9. | Name Power of a fraction | Type 2nd type - interpretation | Difficulty medium | Marks 3 m. | Description Calculation of the value of an expression. |
| Number 10. | Name Value comparison | Type 2nd type - interpretation | Difficulty medium | Marks 1 m. | Description Compare function values. |
| Number 11. | Name Raising a fraction in a degree (negative denominator) | Type 2nd type - interpretation | Difficulty medium | Marks 5 m. | Description The raising to a power of a fraction. |
| Number 12. | Name Decreasing (increasing) degrees | Type 2nd type - interpretation | Difficulty medium | Marks 4 m. | Description The arrangement of numbers in descending (ascending) order. |
| Number 13. | Name Numerical value of fraction | Type 2nd type - interpretation | Difficulty medium | Marks 6 m. | Description Calculation of expression value. |
| Number 14. | Name The normal form of an integer | Type 2nd type - interpretation | Difficulty medium | Marks 1 m. | Description Choose 10 steps. |
| Number 15. | Name The normal form of a number | Type 2nd type - interpretation | Difficulty medium | Marks 2 m. | Description Write a normal number form. |
| Number 16. | Name The product of three fractions with the same exponents | Type 3rd type - analysis | Difficulty hard | Marks 6 m. | Description Calculation of the value of an expression. |
| Number 17. | Name Degree properties | Type 3rd type - analysis | Difficulty hard | Marks 6 m. | Description The solution of the equation. |
| Number 18. | Name Common fraction | Type 3rd type - analysis | Difficulty hard | Marks 6 m. | Description The solution of the equation. |
| Number 19. | Name To find the unknown exponent(product) | Type 3rd type - analysis | Difficulty hard | Marks 4 m. | Description Finding an unknown exponent. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Comparison of numerical inequalities | Type Other | Difficulty easy | Marks 1 m. | Description Comparison of inequalities which contains power. |
| Number 2. | Name Base and power | Type Other | Difficulty easy | Marks 0 m. | Description Find the base and power of the given number. |
| Number 3. | Name Finding unknown base squared | Type Other | Difficulty medium | Marks 4 m. | Description Finding a monomial in parentheses (equal degrees and the product of an ordinary fraction by a degree). |
| Number 4. | Name Fraction value calculation | Type Other | Difficulty medium | Marks 4 m. | Description The calculation of the fraction value. |
| Number 5. | Name Equation reducible to linear | Type Other | Difficulty hard | Marks 5 m. | Description Finding an unknown exponent. |
| Number 6. | Name Finding the unknown exponent(quotient) | Type Other | Difficulty hard | Marks 4 m. | Description Finding an unknown exponent. |
Tests
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Training test | Recomended time: 00:15:00 | Difficulty medium | Marks 13 m. | Description |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Homework | Recomended time: 00:20:00 | Difficulty medium | Marks 17.5 m. | Description |
| Number 2. | Name Homework | Recomended time: 00:20:00 | Difficulty hard | Marks 19 m. | Description |
| Number 3. | Name Progress test | Recomended time: 00:20:00 | Difficulty hard | Marks 14 m. | Description |
| Number 4. | Name Progress test | Recomended time: 00:20:00 | Difficulty hard | Marks 25 m. | Description |
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