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. | Square identity of a trinomial | To recall the square identities and to learn the expansion of a trinomial based on a square identity. |
| 2. | Identities involving product of three binomials | Learn and explore the cubic identities involving three binomials. |
| 3. | Cubic identities | To learn the expansion of the cubic terms using the identity (x+a)(x+b)(x+c). |
| 4. | Cubic identity for three variables | To learn the cubic identity for three variables and to derive at a special case based on the cubic identity. |
| 5. | Introduction to factorisation | Learn what is factorisation and how to factorise the polynomial. |
| 6. | Methods of factorisation | To learn and understand methods of factorisation of polynomials. |
| 7. | Mind map | Learn the mind map of the algebraic identites and factorizing the polynomials. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Multiple choice questions | Other | easy | 2 m. | Select the suitable choice for the given questions. |
| 2. | Two mark example problems I | Other | easy | 10 m. | Apply the algebraic identities for the given expressions. |
| 3. | Two mark example problems II | Other | easy | 6 m. | Apply the identity and expand the expressions. |
| 4. | Two mark example problems III | Other | easy | 6 m. | Check your understanding skills in the concept of algebraic identities. |
| 5. | Two mark example problems IV | Other | easy | 8 m. | Try to factorize the given expressions. |
| 6. | Two mark example problems V | Other | easy | 6 m. | Try to factorize the given expressions. |
| 7. | Two mark example problems VI | Other | easy | 6 m. | Try to factorize the given expressions. |
| 8. | Two mark example problems VII | Other | easy | 8 m. | Try to factorize the given expressions. |
| 9. | Two mark example problems VIII | Other | easy | 4 m. | Check your understanding skills in the concept of factorizing the polynomials by splitting the middle term. |
| 10. | Two mark example problems IX | Other | easy | 4 m. | Check your understanding skills in the concept of factorizing the polynomials by splitting the middle term. |
| 11. | Two mark example problems X | Other | easy | 2 m. | Check your understanding skills in the concept of factorizing the polynomials by splitting the middle term. |
| 12. | Two mark exercise problems I | Other | easy | 8 m. | Apply the algebraic identities for the given expressions. |
| 13. | Two mark exercise problems II | Other | easy | 4 m. | Try to answer the given questions. |
| 14. | Two mark exercise problems III | Other | medium | 8 m. | Try to find the values of the given expressions. |
| 15. | Two mark exercise problems IV | Other | medium | 8 m. | Try to expand the given expressions. |
| 16. | Two mark exercise problems V | Other | medium | 4 m. | Try to answer the given questions. |
| 17. | Two mark exercise problems VI | Other | medium | 4 m. | Try to answer the given questions. |
| 18. | Two mark exercise problems VII | Other | medium | 4 m. | Try to answer the given questions. |
| 19. | Two mark exercise problems VIII | Other | medium | 4 m. | Try to simplify the given expressions. |
| 20. | Two mark exercise problems IX | Other | medium | 8 m. | Try to evaluate using identities. |
| 21. | Two mark exercise problems X | Other | medium | 6 m. | Try to factorize the given expressions. |
| 22. | Two mark exercise problems XI | Other | medium | 6 m. | Try to factorize the given expressions. |
| 23. | Two mark exercise problems XII | Other | medium | 8 m. | Try to factorize the given expressions. |
| 24. | Two mark exercise problems XIII | Other | medium | 6 m. | Try to factorize the given expressions. |
| 25. | Two mark exercise problems XIV | Other | medium | 6 m. | Check your understanding skills in the concept of factorizing the polynomials by splitting the middle term. |
| 26. | Two mark exercise problems XV | Other | medium | 6 m. | Check your understanding skills in the concept of factorizing the polynomials by splitting the middle term. |
| 27. | Two mark exercise problems XVI | Other | medium | 6 m. | Check your understanding skills in the concept of factorizing the polynomials by splitting the middle term. |
| 28. | Two mark exercise problems XVII | Other | medium | 6 m. | Check your understanding skills in the concept of factorizing the polynomials by splitting the middle term. |
| 29. | Two mark exercise problems XVIII | Other | medium | 6 m. | Check your understanding skills in the concept of factorizing the polynomials by splitting the middle term. |
| 30. | Two mark exercise problems XIX | Other | medium | 6 m. | Check your understanding skills in the concept of factorizing the polynomials by splitting the middle term. |
| 31. | Five mark example problems | Other | hard | 5 m. | Try to find the area of the square. |
| 32. | Five mark exercise problems | Other | hard | 5 m. | Try to answer the given questions. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the zeros | Other | easy | 1 m. | To find the zero of the given polynomial. |
| 2. | Find the value of the cubic expression | Other | easy | 2 m. | Based on the cubic identity for three variables. |
| 3. | Factorise the quadratic polynomial | Other | easy | 2 m. | Practise to perform and find quadratic polynomial. |
| 4. | Factorise | Other | easy | 2 m. | To factorise the quadratic polynomial by splitting the middle term. |
| 5. | Factorise using appropriate identities | Other | easy | 2 m. | To factorise the given polynomial using appropriate square identity. |
| 6. | Find the area using suitable identity | Other | medium | 2 m. | Try practicing the equation using square identities. |
| 7. | Find the values | Other | medium | 2 m. | Problems based on some deductions in the cubic identities. |
| 8. | Factorise using suitable identity | Other | medium | 2 m. | To factorise the given polynomial using suitable square identity. |
| 9. | Factorise the expression | Other | medium | 2 m. | To factorise the given cubic polynomial using suitable algebraic identity. |
| 10. | Factorise the given polynomial | Other | medium | 2 m. | Seek to use the required identity to execute factorisation. |
| 11. | Evaluate the following | Other | hard | 5 m. | To evaluate the value of the given number using the suitable cubic identites. |
| 12. | Expand the given factor using the identity | Other | hard | 5 m. | Seek to use the identities to widen the factors. |
| 13. | Evaluate | Other | hard | 5 m. | Based on the cubic identity of three variables. |
| 14. | Find the value! | Other | hard | 5 m. | To find the value of the given expression using suitable identity. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Evaluate the expression | Other | easy | 2 m. | Try to evaluate the given expression using the algebraic identity. |
| 2. | Find the value | Other | easy | 2 m. | Check your understanding skills in the concept of applying algebraic identities. |
| 3. | Factorize the expression | Other | medium | 2 m. | Try to factorize the given expression. |
| 4. | Factorize using algebraic identity | Other | medium | 2 m. | Try to factorize the given expressions. |
| 5. | Determine the factors | Other | medium | 2 m. | Check your understanding skills in the concept of factorizing the polynomials by splitting the middle term. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Factorise the polynomial | Other | medium | 2 m. | To factorise the quadratic polynomial by splitting the middle term. |
| 2. | Match the columns | Other | medium | 4 m. | To identify the algebraic identity used and to find the expansion for the given expression. |
| 3. | Factorise the expression with proper identity | Other | medium | 5 m. | Use the correct identity to start performing the factorisation. |
| 4. | Activity | Other | hard | 5 m. | Proof to derive the square identity for three variables. |
| 5. | Task for you! | Other | hard | 5 m. | To know the factorisation of a polynomial using paper cuttings. |
| 6. | Factorize the expression | Other | medium | 2 m. | Try to factorize the given expression. |
| 7. | Expand the given factor using the identity | Other | hard | 2 m. | Seek to use the identities to widen the factors. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:15:00 | easy | 9 m. | |
| 2. | Homework II | 00:15:00 | easy | 10 m. | |
| 3. | Homework III | 00:15:00 | easy | 10 m. | |
| 4. | Homework IV | 00:20:00 | medium | 15 m. | |
| 5. | Homework V | 00:25:00 | medium | 18 m. | |
| 6. | Homework VI | 00:25:00 | medium | 20 m. | |
| 7. | Revision test I | 00:25:00 | medium | 20 m. | |
| 8. | Revision test II | 00:30:00 | medium | 24 m. | |
| 9. | Revision test III | 00:30:00 | medium | 24 m. | |
| 10. | Revision test IV | 00:35:00 | hard | 28 m. | |
| 11. | Revision test V | 00:45:00 | hard | 36 m. | |
| 12. | Revision test VI | 00:50:00 | hard | 42 m. | |
| 13. | Periodic Assessment | 00:10:00 | medium | 4 m. | PA 1 - Algebraic identities |
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