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Methodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| 1. | Concept of proportion | Learn the concept of proportion. |
| 2. | Proportionality law | Understand the concept of proportionality law. |
| 3. | Unitary method | Introduction to unitary method. |
| 4. | Application of ratios | Theory about applications of ratios. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Multiple choice questions I | Other | easy | 3 m. | Select the correct choice for the given questions. |
| 2. | Multiple choice questions II | Other | easy | 2 m. | Select the correct choice for the given questions. |
| 3. | Fill in the blanks I | Other | easy | 4 m. | Check your understanding skills in the concept of proportions. |
| 4. | Fill in the blanks II | Other | easy | 2 m. | Apply the concept of proportion and find the required. |
| 5. | True of false | Other | easy | 4 m. | Check whether the given statements are correct or not. |
| 6. | Two mark example problems I | Other | medium | 4 m. | Check whether the given are in proportion or not. |
| 7. | Two mark example problems II | Other | medium | 4 m. | Apply the concept of unitary method and find the required. |
| 8. | Two mark exercise problems I | Other | medium | 6 m. | Apply the concept of proportionality law and find the required. |
| 9. | Two mark exercise problems II | Other | medium | 4 m. | Check your understanding skills in the concept of unitary method. |
| 10. | Two mark exercise problems III | Other | medium | 6 m. | Try to answer the given questions. |
| 11. | Two mark exercise problems IV | Other | medium | 0 m. | Practice the problem to check your knowledge about proportions. |
| 12. | Three mark exercise problems I | Other | hard | 6 m. | Try to answer the given question. |
| 13. | Three mark exercise problems II | Other | hard | 3 m. | Check your understanding skills in the concept of proportions. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Check the points are in proportion | Other | easy | 3 m. | Practice a problem on checking whether the given points are in proportion. |
| 2. | Fill in the unknown box | Other | easy | 3 m. | Apply the concept of proportionality law and fill in the box given. |
| 3. | Say true or false | Other | easy | 3 m. | Check whether the given two ratios are in proportion. |
| 4. | Determine the cost | Other | easy | 3 m. | Use the concept of unitary method and determine the required cost. |
| 5. | Fill in the boxes | Other | medium | 4 m. | Practice a problem on proportionality law. |
| 6. | Test whether true or false | Other | medium | 4 m. | Apply the concept of proportionality law and check the ratios are in proportion. |
| 7. | Find the distance travelled | Other | medium | 3 m. | Try solving the problem on distance with the help of unitary method. |
| 8. | Calculate the unknown value | Other | medium | 4 m. | Practice a problem on proportionality law and find the unknown value. |
| 9. | Determine the expected distance travelled | Other | medium | 4 m. | Use unitary method to find the distance travelled. |
| 10. | Calculate the required number | Other | hard | 5 m. | Practice a problem on finding number of objects purchased using unitary method and find the unknown quantity of ratios. |
| 11. | Verify the proportionality and hence find means and extremes | Other | hard | 5 m. | Apply the proportionality law and hence determine its means and extremes. |
| 12. | Determine the number of objects coloured | Other | hard | 5 m. | Apply the concept of unitary method to get the required value. |
| 13. | Calculate the cost and quantity of the product | Other | hard | 5 m. | Practice a problem on finding cost and quantity with the help of unitary method. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Whose purchase is better | Other | medium | 2 m. | Try to answer the given questions. |
| 2. | Check the proportionality | Other | medium | 2 m. | Check whether the given are in proportion or not. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Select a suitable choice | Other | easy | 3 m. | It is required to find suitable person by applying the concept of unitary method. |
| 2. | Find the cost of toys | Other | easy | 3 m. | Use the concept of unitary method and find the required solution. |
| 3. | Calculate the number using the given numbers | Other | medium | 3 m. | Find the number of food items needed for children by using unitary method. |
| 4. | Calculate the number of foods ordered by certain persons | Other | medium | 3 m. | Using unitary method calculate the number of foods ordered by certain persons. |
| 5. | Determine the ratio of the provided scenario | Other | medium | 5 m. | Demonstrate the ratio between two required cases. |
| 6. | Determine the required number | Other | hard | 5 m. | Use the concept of proportion and determine the required number of people. |
| 7. | Proportion | Other | medium | 1 m. | Practice a problem on proportionality law. |
| 8. | Unitary Method | Other | easy | 1 m. | Use the concept of unitary method and determine the required cost. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:15:00 | easy | 8 m. | |
| 2. | Homework II | 00:15:00 | easy | 9 m. | |
| 3. | Homework III | 00:20:00 | easy | 12 m. | |
| 4. | Homework IV | 00:20:00 | medium | 12 m. | |
| 5. | Homework V | 00:25:00 | medium | 12 m. | |
| 6. | Revision test I | 00:25:00 | medium | 12 m. | |
| 7. | Revision test II | 00:25:00 | medium | 12 m. | |
| 8. | Revision test III | 00:30:00 | hard | 15 m. | |
| 9. | Revision test IV | 00:30:00 | hard | 15 m. | |
| 10. | Revision test V | 00:35:00 | hard | 18 m. | |
| 11. | Periodic Assessment | 00:10:00 | medium | 4 m. | PA1 |
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