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Methodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| 1. | Rational expression and its reduction | To learn what is a rational expression and how to reduce it to its lowest form. |
| 2. | Excluded value of a rational expression | To learn how to find the excluded value for a rational expression. |
| 3. | Multiplication of rational expressions | To learn how to multiply expressions in its rational form. |
| 4. | Division of rational expressions | To learn how to divide expressions in its rational form. |
| 5. | Addition of rational expressions | To learn how to add expressions in its rational form. |
| 6. | Subtraction of rational expressions | To learn how to subract expressions in its rational form. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Multiple choice question I | Other | easy | 1 m. | Select the suitable choice for the given questions. |
| 2. | Multiple choice question II | Other | easy | 1 m. | Select the suitable choice for the given questions. |
| 3. | Multiple choice question III | Other | easy | 1 m. | Select the suitable choice for the given questions. |
| 4. | Copy of Copy of Two mark example problem I | Other | easy | 2 m. | Try to answer the given questions. |
| 5. | Copy of Two mark example problem I | Other | easy | 2 m. | Try to answer the given questions. |
| 6. | Two mark example problem I | Other | easy | 2 m. | Try to answer the given questions. |
| 7. | Two mark example problem II | Other | easy | 2 m. | Try to answer the given questions. |
| 8. | Two mark example problem V | Other | easy | 2 m. | Try to simplify the given expressions. |
| 9. | Two mark example problem VI | Other | easy | 2 m. | Try to simplify the given expressions. |
| 10. | Two mark example problem VII | Other | easy | 2 m. | Try to simplify the given expressions. |
| 11. | Two mark example problem VIII | Other | easy | 2 m. | Try to simplify the given expressions. |
| 12. | Two mark example problem IX | Other | easy | 2 m. | Try to simplify the given expressions. |
| 13. | Two mark exercise problem I | Other | easy | 2 m. | Try to reduce the given rational expressions. |
| 14. | Two mark exercise problem II | Other | easy | 2 m. | Try to reduce the given rational expressions. |
| 15. | Two mark exercise problem III | Other | easy | 2 m. | Try to reduce the given rational expressions. |
| 16. | Two mark exercise problem IV | Other | easy | 2 m. | Try to reduce the given rational expressions. |
| 17. | Two mark exercise problem V | Other | easy | 2 m. | Practice a problem to find the excluded values. |
| 18. | Two mark exercise problem VI | Other | easy | 2 m. | Practice a problem to find the excluded values. |
| 19. | Two mark exercise problem VII | Other | easy | 2 m. | Practice a problem to find the excluded values. |
| 20. | Two mark exercise problem VIII | Other | easy | 2 m. | Practice a problem to find the excluded values. |
| 21. | Two mark exercise problems IX | Other | medium | 2 m. | Try to simplify the given expressions. |
| 22. | Two mark exercise problem X | Other | medium | 2 m. | Try to simplify the given expressions. |
| 23. | Two mark exercise problem XI | Other | medium | 2 m. | Try to simplify the given expressions. |
| 24. | Two mark exercise problem XII | Other | medium | 2 m. | Try to simplify the given expressions. |
| 25. | Two mark exercise problem XIII | Other | medium | 2 m. | Try to simplify the given expressions. |
| 26. | Two mark exercise problem XIV | Other | medium | 2 m. | Try to simplify the given expressions. |
| 27. | Two mark exercise problem XV | Other | medium | 2 m. | Try to answer the given questions. |
| 28. | Two mark exercise problem XVI | Other | medium | 2 m. | Try to answer the given questions. |
| 29. | Two mark exercise problem XVII | Other | medium | 2 m. | Try to answer the given questions. |
| 30. | Five mark example problem I | Other | medium | 5 m. | Check your understanding skills in the concept of simplifying the rational expressions. |
| 31. | Five mark example problem II | Other | medium | 5 m. | Check your understanding skills in the concept of simplifying the rational expressions. |
| 32. | Five mark example problem III | Other | medium | 5 m. | Try to answer the given questions. |
| 33. | Five mark example problem IV | Other | medium | 5 m. | Try to answer the given questions. |
| 34. | Five mark exercise problem V | Other | medium | 10 m. | Try to simplify the given expressions. |
| 35. | Five mark exercise problem VI | Other | medium | 5 m. | Try to simplify the given expressions. |
| 36. | Five mark exercise problem VII | Other | hard | 5 m. | Try to answer the given questions. |
| 37. | Five mark exercise problem VIII | Other | hard | 5 m. | Try to answer the given questions. |
| 38. | Five mark exercise problems IX | Other | hard | 10 m. | To find the value of the rational expression using the rational expression. |
| 39. | Five mark exercise problems X | Other | hard | 5 m. | To find the value of the rational expression using the rational expression. |
| 40. | Five mark exercise problem X | Other | hard | 5 m. | Try to answer the given questions. |
| 41. | Five mark exercise problem XI | Other | hard | 5 m. | Try to answer the given questions. |
| 42. | Five mark exercise problem XI | Other | hard | 5 m. | Try to answer the given questions. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Reduce the following expressions | Other | easy | 2 m. | To reduce the given rational expression and enter the answers in the respective boxes provided. |
| 2. | Reduce the expression to its lowest form | Other | easy | 2 m. | To reduce the expression to its lowest form and enter the answers in the boxes provided. |
| 3. | Find the difference | Other | easy | 2 m. | To find the difference of two rational numbers and to reduce it to its lowest form. |
| 4. | Find the sum | Other | easy | 2 m. | To find the sum of the given two rational numbers. |
| 5. | Find the excluded valiue, if any | Other | easy | 2 m. | To find the excluded valiue of the given rational expression by reducing it to its lowest form. |
| 6. | Divide the given expression | Other | easy | 2 m. | To divide the given rational expressions. |
| 7. | Multiply the given expression | Other | easy | 2 m. | To multiply the given rational expressions. |
| 8. | Find the sum of the given expressions | Other | easy | 2 m. | To find the sum of the given two rational expressions. |
| 9. | Reduce the expression | Other | medium | 2 m. | To reduce the given quadratic rational expression to its lowest form. |
| 10. | Find the excluded value for the given expression | Other | medium | 2 m. | To reduce the given quadratic rational expression to its lowest form and to find its excluded value. |
| 11. | Find the excluded value | Other | medium | 2 m. | To find the excluded valiue of the given rational expression by reducing it to its lowest form. |
| 12. | Find the product | Other | medium | 2 m. | To find the product of the given two rational numbers. |
| 13. | Determine the sum | Other | medium | 2 m. | To determine the sum of the given two rational expresions. |
| 14. | Divide the following | Other | medium | 2 m. | To divide the given two rational numbers. |
| 15. | Find the difference between the given expressions | Other | medium | 2 m. | To find the difference between the given two rational expressions. |
| 16. | Simplify the expression | Other | medium | 2 m. | To simplify the given rational expressionsl based on the given arithmetic operation. |
| 17. | Find the lowest form of the expression | Other | hard | 5 m. | To find the lowest form of the given rational expression. |
| 18. | Find the excluded value of the expression | Other | hard | 5 m. | To find the excluded value of the given rational expression. |
| 19. | Divide the rational expressions | Other | hard | 5 m. | To divide the given rational expressions. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Simplify the given expression | Other | easy | 1 m. | Check your understanding skills in the concept of simplifying the given rational expressions. |
| 2. | Add the expressions | Other | easy | 2 m. | Try to add the given expressions. |
| 3. | Add and subtract the expressions | Other | medium | 2 m. | Practice a problem to solve the expressions by adding snd subtracting. |
| 4. | Solve the expressions | Other | medium | 5 m. | Check your understanding skills in the concept of solving rational expressions. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Simplify the given expression | Other | easy | 2 m. | To simplify the given rational expression by reducing it to its lowest form. |
| 2. | Find the time taken | Other | medium | 5 m. | To find the time taken if the speed and distance covered are given and enter the answers in the appropriate boxes provided. |
| 3. | Simplify the expression | Other | hard | 5 m. | To simplify the rational expressions under the given operations. |
| 4. | Find the excluded value | Other | easy | 2 m. | To find the excluded valiue of the given rational expression by reducing it to its lowest form. |
| 5. | Division of two rational expressions | Other | easy | 1 m. | Try to simplify the given expressions. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:20:00 | easy | 10 m. | |
| 2. | Homework II | 00:20:00 | easy | 10 m. | |
| 3. | Homework III | 00:20:00 | easy | 10 m. | |
| 4. | Homework IV | 00:15:00 | medium | 10 m. | |
| 5. | Homework V | 00:15:00 | medium | 15 m. | |
| 6. | Revision test I | 00:25:00 | medium | 17 m. | |
| 7. | Revision test II | 00:25:00 | medium | 22 m. | |
| 8. | Revision test III | 00:30:00 | hard | 30 m. | |
| 9. | Revition test IV | 00:40:00 | hard | 37 m. | |
| 10. | Revistion test V | 00:45:00 | hard | 45 m. | |
| 11. | Periodic Assessment | 00:10:00 | medium | 2 m. | |
| 12. | Periodic Assessment - 3 | 00:10:00 | medium | 2 m. | PA3 |
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