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