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Methodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| 1. | Powers and exponents | Introduction to powers and exponents. |
| 2. | Law of exponents | Laws involving powers and exponents |
| 3. | Rules for the exponent 1 and 0 | Study the rules exponent 1 and 0. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Product of degrees with identical bases | 1st type - receptive | easy | 3 m. | Representation of an expression as a product of two degrees with the same bases |
| 2. | Squaring of negative power | 1st type - receptive | easy | 4 m. | Square the negative power using the law of exponents. |
| 3. | Square the decimal with negative power | 1st type - receptive | easy | 4 m. | Practice to square the decimal number with negative power using the law of exponents. |
| 4. | Negative decimal number with negative power | 1st type - receptive | easy | 4 m. | Practice to square the negative decimal number with negative power using the law of exponents |
| 5. | Power in fraction | 1st type - receptive | easy | 4 m. | Using the law of exponents find the value of given expression. |
| 6. | Simplify the following | 1st type - receptive | easy | 4 m. | Practise to simplify the negative power using the law of exponents. |
| 7. | Calculate the unknown value | 1st type - receptive | easy | 5 m. | Practise to simplify the negative power using the law of exponents. |
| 8. | Choose the simplified form | 1st type - receptive | easy | 4 m. | Practice to simplify the given expression using the exponential power law. |
| 9. | Select the reduced form | 1st type - receptive | easy | 3 m. | Applying the exponential law choose the simplified form from the given options. |
| 10. | Choose the negative and postive exponents | 2nd type - interpretation | medium | 4 m. | Read the equation and choose the right answer |
| 11. | Negative fraction and power | 1st type - receptive | medium | 4 m. | Using the law of exponents find the value of given expression. |
| 12. | Negative decimal fraction and power | 1st type - receptive | medium | 4 m. | Using the law of exponents find the value of given expression. |
| 13. | Simplify the given expression using power law | 1st type - receptive | medium | 3 m. | Practise to simplify the given expression by applying the exponential power law. |
| 14. | Find the unknown value | 3rd type - analysis | medium | 5 m. | Practise to simplify the given expression by applying the exponential product law. |
| 15. | Evaluate the given expression | 1st type - receptive | medium | 4 m. | Practise to simplify the given expression by applying the exponential laws. |
| 16. | Find out the required number | 3rd type - analysis | medium | 4 m. | Practise to find out the required number by applying the negative exponent rules. |
| 17. | Find the simplified form | 1st type - receptive | medium | 4 m. | Practise to simplify the given expression by applying the exponential power law. |
| 18. | Simplify the given expression | 2nd type - interpretation | medium | 4 m. | Practise to simplify the given expression by applying the exponential laws. |
| 19. | Determine the value of negative power | 2nd type - interpretation | hard | 4 m. | Practise to simplify the given expression by applying the exponential laws. |
| 20. | Calculate the required number | 2nd type - interpretation | hard | 5 m. | Practise to find out the required number by applying the negative exponent rules. |
| 21. | Determine the simplified form | 2nd type - interpretation | hard | 4 m. | Practise to simplify the given expression by applying the exponential power law. |
| 22. | Find out the value of negative power | 2nd type - interpretation | hard | 5 m. | Practise to simplify the given expression by applying the exponential laws. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Choose the correct answer | Other | easy | 2 m. | Simplify the given expression by applying the exponential laws. |
| 2. | Choose the simplified expression | Other | easy | 2 m. | Simplify the given expression by applying the exponential laws. |
| 3. | Choose the correct answer | Other | easy | 2 m. | Using the law of exponents choose the correct answer from the given options. |
| 4. | Simplify the expression | Other | medium | 4 m. | Simplify the given expression by applying the exponential laws. |
| 5. | Choose the simplified form | Other | medium | 4 m. | Applying the exponential law choose the simplified form from teh given options. |
Tests
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Training test | 00:15:00 | medium | 13 m. | |
| 2. | Training test | 00:15:00 | easy | 11 m. | |
| 3. | Training test | 00:15:00 | medium | 12 m. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework | 00:15:00 | medium | 13 m. | |
| 2. | Homework | 00:15:00 | medium | 9 m. | |
| 3. | Homework | 00:15:00 | medium | 16 m. | |
| 4. | Progress test | 00:15:00 | hard | 13 m. | |
| 5. | Progress test | 00:15:00 | hard | 14 m. | |
| 6. | Progress test | 00:15:00 | hard | 12 m. |
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