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Methodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| 1. | Properties of real numbers | Recall the properties of real number and learn how to apply. |
| 2. | How to represent square roots of real numbers geometrically | Learn the procedure to find the length of square root of positive real number. |
| 3. | Rationalise the denominator | Work on the concept of rationalising the denominator to make the expression in simpler form. |
| 4. | Law of exponents for real numbers | Remember the laws of exponents to reduce the expressions. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Classify the numbers as rational or irrational | 1st type - receptive | easy | 3 m. | Simplify the expression and classify the number. |
| 2. | Simplify the expression | 2nd type - interpretation | easy | 3 m. | Apply the suitable identity and simplify the irrational expression. |
| 3. | Reduce the expression | 1st type - receptive | easy | 3 m. | Apply the law of exponent to simply the expression. |
| 4. | Enter the value in reduced form | 1st type - receptive | easy | 2 m. | Use the suitable law of exponents to convert the expression in simpler form. |
| 5. | Magnify the number with one decimal place | 2nd type - interpretation | medium | 4 m. | Apply the concept of process of successive magnification and locate the decimal number. |
| 6. | Add, multiply the given expressions | 2nd type - interpretation | medium | 4 m. | Use the identities and properties of real numbers to simplify the expressions. |
| 7. | Subtract, divide the given expressions | 2nd type - interpretation | medium | 4 m. | Practice a problem on identities and properties of real numbers. |
| 8. | Rationalise the expressions | 2nd type - interpretation | medium | 5 m. | Apply the concept of rationalising the denominator and simplify the expressions. |
| 9. | Find the simpler form of exponents | 2nd type - interpretation | medium | 4 m. | Practice a problem on law of exponents and reduce it to simplified form. |
| 10. | Add, subtract and multiply the given expressions | 3rd type - analysis | hard | 5 m. | Practice a problem on opertions on real numbers. |
| 11. | Apply law of exponents | 3rd type - analysis | hard | 5 m. | Practice problems on simplifying the numbers with radicals by applying law of exponents. |
| 12. | Reduce the expression by rationalising it | 3rd type - analysis | hard | 5 m. | Try solving the problem on rationalising the expressions. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Reduce the expression in simpler form | Other | easy | 2 m. | Use the law of exponents and convert the expression in simpler form. |
| 2. | Determine the value of the irrational expression | Other | easy | 3 m. | Apply the identities to simplify the expression |
| 3. | Simplify the expression | Other | medium | 4 m. | With the help of identities convert the expressions into simpler form. |
| 4. | Represent square root of real number geometrically | Other | hard | 5 m. | Use the procedure to construct the square root of any positisve real number geometrically to do this work. |
Tests
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Training test | 00:15:00 | medium | 9 m. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework | 00:20:00 | medium | 12 m. | |
| 2. | Homework | 00:20:00 | medium | 11 m. | |
| 3. | Homework | 00:20:00 | hard | 14 m. | |
| 4. | Progress test | 00:20:00 | medium | 10 m. | |
| 5. | Progress test | 00:20:00 | medium | 14 m. | |
| 6. | Periodic Assessment | 00:15:00 | medium | 16 m. |
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