PUMPA - SMART LEARNING
எங்கள் ஆசிரியர்களுடன் 1-ஆன்-1 ஆலோசனை நேரத்தைப் பெறுங்கள். டாப்பர் ஆவதற்கு நாங்கள் பயிற்சி அளிப்போம்
Book Free DemoMethodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| 1. | Composition of two functions | To understand and define the composition of two functions. |
| 2. | Working rule to solve composite function | To understant how to solve composite function. |
| 3. | Composition of three functions | To learn the composition of three functions. |
| 4. | Identifying the graphs of linear function | To learn how to identify the graphs of linear function. |
| 5. | Identifying the graphs of quadratic function | To learn how to identify the graphs of quadratic function. |
| 6. | Identification of modulus function and cubic function | To learn how to identify modulus function and cubic function. |
| 7. | Identification of reciprocal function and constant function | To learn how to identify reciprocal function and constant function. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Multiple choice question | Other | easy | 4 m. | Try to answer the multiple choice questions of composition functions. |
| 2. | Two marks example problems | Other | medium | 8 m. | Work on the problems to answer the questions using composition of functions. |
| 3. | Two marks exercise problems I | Other | medium | 10 m. | Work on the problems to answer the questions using composition of functions. |
| 4. | Two marks exercise problems II | Other | medium | 4 m. | Work on the problems to answer the questions using composition of functions. |
| 5. | Five marks example problems | Other | hard | 5 m. | Work on the problems to answer the questions using composition of functions. |
| 6. | Five marks exercise problems I | Other | hard | 10 m. | Work on the problems to answer the questions using composition of functions. |
| 7. | Five marks exercise problems II | Other | hard | 15 m. | Work on the problems to answer the questions using composition of functions. |
| 8. | Five marks exercise problems II | Other | hard | 0 m. | Work on the problems to answer the questions using composition of functions. |
| 9. | Five marks exercise problems III | Other | hard | 0 m. | Work on the problems to answer the questions using composition of functions. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find f∘g | Other | easy | 2 m. | To find the expression of f∘g for the given functions f and g. |
| 2. | Find g∘f | Other | easy | 2 m. | To find the expression of g∘f for the given functions f and g. |
| 3. | Evaluate f∘f | Other | easy | 1 m. | To evaluate the value of the given composition function. |
| 4. | Determine and predict | Other | medium | 4 m. | To check whether f∘g and g∘f are equal using the functions f and g. |
| 5. | Find f∘(g∘h) | Other | medium | 3 m. | To find the composition of three given functions. |
| 6. | Match the column | Other | medium | 4 m. | To match the columns with corresponding functions. |
| 7. | Find (f∘g)∘h | Other | medium | 3 m. | To find the composition of three given functions. |
| 8. | Find the value of 'k' | Other | hard | 4 m. | To find the value of 'k' for the given condition. |
| 9. | Prove the following | Other | hard | 3 m. | To prove the given composition of three functions. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the value of 'k' | Other | medium | 2 m. | Work on the problems to answer the questions using composition of functions. |
| 2. | Find the value of 'x' | Other | hard | 5 m. | Work on the problems to answer the questions using composition of functions. |
| 3. | Evaluate the value of 'k' | Other | hard | 5 m. | Work on the problems to answer the questions using composition of functions. |
| 4. | Find the following | Other | hard | 5 m. | Work on the problems to answer the questions using composition of functions. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the value | Other | easy | 3 m. | To find the value of the composition function for the given functions f and g. |
| 2. | Find 'k' | Other | medium | 3 m. | To find the value of 'k' for the given condition. |
| 3. | Find g∘f | Other | easy | 2 m. | To find the expression of g∘f for the given functions f and g. |
| 4. | Composition of functions | Other | medium | 1 m. | Work on the problems to answer the questions using composition of functions. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:20:00 | medium | 15 m. | |
| 2. | Homework II | 00:20:00 | medium | 16 m. | |
| 3. | Homework III | 00:20:00 | medium | 8 m. | |
| 4. | Homework IV | 00:15:00 | medium | 9 m. | |
| 5. | Revision test I | 00:15:00 | medium | 16 m. | |
| 6. | Revision test II | 00:15:00 | medium | 24 m. | |
| 7. | Revision test III | 00:15:00 | medium | 8 m. | |
| 8. | Revision test IV | 00:15:00 | medium | 9 m. | |
| 9. | Periodic Assessment | 00:10:00 | medium | 2 m. | PA 1 - Composition of Functions |
| 10. | Periodic Assessment - 3 | 00:10:00 | medium | 1 m. | PA3 |
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