PUMPA - SMART LEARNING

எங்கள் ஆசிரியர்களுடன் 1-ஆன்-1 ஆலோசனை நேரத்தைப் பெறுங்கள். டாப்பர் ஆவதற்கு நாங்கள் பயிற்சி அளிப்போம்

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Methodical 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 I Other easy 1 m. Try to answer the multiple choice questions of composition functions.
2. Multiple choice question II Other easy 1 m. Try to answer the multiple choice questions of composition functions.
3. Multiple choice question III Other easy 1 m. Try to answer the multiple choice questions of composition functions.
4. Multiple choice question IV Other easy 1 m. Try to answer the multiple choice questions of composition functions.
5. Multiple choice question V Other easy 1 m. Select the correct choice for the given question.
6. Two marks example problems I Other medium 2 m. Work on the problems to answer the questions using composition of functions.
7. Two marks example problems II Other medium 2 m. Work on the problems to answer the questions using composition of functions.
8. Two marks example problems III Other medium 4 m. Work on the problems to answer the questions using composition of functions.
9. Two marks exercise problems I Other medium 4 m. Work on the problems to answer the questions using composition of functions.
10. Two marks exercise problems II Other medium 4 m. Work on the problems to answer the questions using composition of functions.
11. Two marks exercise problems III Other medium 2 m. Work on the problems to answer the questions using composition of functions.
12. Two marks exercise problems IV Other medium 2 m. Work on the problems to answer the questions using composition of functions.
13. Two marks exercise problems V Other medium 2 m. Work on the problems to answer the questions using composition of functions.
14. Five marks example problems I Other hard 5 m. Work on the problems to answer the questions using composition of functions.
15. Five marks example problems II Other hard 0 m. Work on the problems to answer the questions using composition of functions.
16. Five marks exercise problems I Other hard 5 m. Work on the problems to answer the questions using composition of functions.
17. Five marks exercise problems II Other hard 5 m. Work on the problems to answer the questions using composition of functions.
18. Five marks exercise problems III Other hard 5 m. Work on the problems to answer the questions using composition of functions.
19. Five marks exercise problems IV Other hard 5 m. Work on the problems to answer the questions using composition of functions.
20. Five marks exercise problems V Other hard 5 m. Work on the problems to answer the questions using composition of functions.
21. Five marks exercise problems VI Other hard 0 m. Work on the problems to answer the questions using composition of functions.
22. Five marks exercise problems VII Other hard 0 m. Work on the problems to answer the questions using composition of functions.
23. Five marks exercise problems VIII Other hard 0 m. Work on the problems to answer the questions using composition of functions.
24. Five marks exercise problems IX Other hard 0 m. Work on the problems to answer the questions using composition of functions.
25. Five mark exercise problems X Other hard 0 m. Check your understanding skills in the concept of 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 easy 8 m.
2. Homework II 00:25:00 easy 10 m.
3. Homework III 00:25:00 medium 12 m.
4. Homework IV 00:25:00 medium 10 m.
5. Homework V 00:25:00 medium 14 m.
6. Revision test I 00:25:00 medium 10 m.
7. Revision test II 00:30:00 hard 10 m.
8. Revision test III 00:30:00 hard 14 m.
9. Revision test IV 00:30:00 hard 18 m.
10. Periodic Assessment 00:10:00 medium 2 m. PA 1 - Composition of Functions
11. Periodic Assessment - 3 00:10:00 medium 1 m. PA3