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Methodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| 1. | Introduction to division of algebraic expressions | Recalling the difference between multiplication and division and introducing the division of a polynomial by another. |
| 2. | Division of an algebraic expression by a monomial | How to divide a polynomial by another and reaclling the neccessary laws of exponents. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | One mark exercise problems I | Other | easy | 3 m. | Try to find the missing terms. |
| 2. | One mark exercise problems II | Other | easy | 2 m. | Try to divide the given expressions. |
| 3. | Two mark example problem | Other | medium | 2 m. | Try to divide the given algebraic expressions. |
| 4. | Two mark exercise problems I | Other | medium | 4 m. | Try to simplify the given expressions. |
| 5. | Two mark exercise problems II | Other | medium | 8 m. | Check your understanding skills in the concept of dividing algebraic expressions. |
| 6. | Two mark exercise problems III | Other | medium | 8 m. | Check your understanding skills in the concept of dividing algebraic expressions. |
| 7. | Two mark exercise problems IV | Other | medium | 6 m. | Practice a problem to divide the given algebraic expressions. |
| 8. | Two mark exercise problems V | Other | medium | 6 m. | Practice a problem to divide the given algebraic expressions. |
| 9. | Four mark example problem | Other | hard | 4 m. | Try to answer the given question. |
| 10. | Four mark exercise problems I | Other | hard | 4 m. | Check your understanding skills in the concept of dividing the algebraic expressions. |
| 11. | Four mark exercise problems II | Other | hard | 4 m. | Check your understanding skills in the concept of dividing the algebraic expressions. |
| 12. | Four mark exercise problems III | Other | hard | 8 m. | Try to answer the given questions. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Answer the following | Other | easy | 4 m. | Divide the polynomials by the monomials given and enter the answers in the respective boxes provided. |
| 2. | Divide the following | Other | easy | 2 m. | Divide the polynomials given by the monomials and enter the answers in the boxes provided. |
| 3. | Identify the error and correct it | Other | easy | 2 m. | Predict the error occured in the provided equation and select the reason to correct it. |
| 4. | Say yes or no | Other | medium | 4 m. | Read all the expressions given properly and answer whether the given expressions are equal or not. |
| 5. | Answer the following | Other | medium | 4 m. | Find the time taken if the speed and distance covered are polynomial and monomial respectively and enter the answers in the appropriate boxes provided. |
| 6. | Determine the number | Other | medium | 4 m. | Apply the suitable operation and determine the required number. |
| 7. | Solve the following questions | Other | hard | 7 m. | Fill in the blanks with the suitable powers and numbers and then choose the options which will best suit the expressions. |
| 8. | State true or false and solve the question | Other | hard | 5 m. | Choose true or false after solving the expressions given and solve the word problem to find the number of chocolates each student will get. |
| 9. | Simplify the expression | Other | hard | 5 m. | Practice a problem on finding the simplified value of the algebraic expression on division operation. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the missing terms | Other | easy | 1 m. | Try to find the missing terms. |
| 2. | Divide the expressions | Other | medium | 2 m. | Check your understanding skills in the concept of dividing algebraic expressions. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Choose the best answer | Other | easy | 2 m. | Choose the answers from the options which will best suit the expressions. |
| 2. | Complete the table | Other | medium | 4 m. | Finding the value of the expressions provided. |
| 3. | Solve the following questions | Other | medium | 4 m. | Solve the problems to find the price of each piece of cake,to find the percentage of water in the mixture and the value of dividing a monomial by another. |
| 4. | Find the speed | Other | medium | 5 m. | Apply the concept of division of algebraic expression and determine the speed. |
| 5. | Reduce the expression | Other | hard | 6 m. | It is required to reduce the algebraic expression by doing division of algebraic expression. |
| 6. | Division of expressions | Other | hard | 2 m. | Check your understanding skills in the concept of dividing the algebraic expressions. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:15:00 | easy | 7 m. | |
| 2. | Homework II | 00:20:00 | easy | 9 m. | |
| 3. | Homework III | 00:25:00 | medium | 16 m. | |
| 4. | Homework IV | 00:25:00 | medium | 16 m. | |
| 5. | Revision test I | 00:35:00 | medium | 21 m. | |
| 6. | Revision test II | 00:35:00 | hard | 22 m. | |
| 7. | Revision test III | 00:40:00 | hard | 29 m. | |
| 8. | Periodic assessment | 00:10:00 | medium | 2 m. | PA 1 - Division of Algebraic Expressions |
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