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Methodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| 1. | Rational numbers | Recall about the rational numbers with an example. |
| 2. | Closure property | Learn the closure property of whole number, integer, rational number. |
| 3. | Commutative property | Learn the commutative property of whole number, integer, rational number. |
| 4. | Associativity property | Learn the associativity property of whole, integer, rational numbers. |
| 5. | The role of 0 and 1 | Learn the additive and multiplication identity of rational numbers. |
| 6. | Distributive property | Learn about distributive property over addition. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Multiple choice question | Other | easy | 4 m. | This exercise is to check your knowledge in properties of rational numbers. |
| 2. | Five marks exercise problems I | Other | hard | 5 m. | In this exercise, verify the closure property for addition and multiplication of two rational numbers. |
| 3. | Five marks exercise problems II | Other | hard | 5 m. | In this exercise, verify the commutative property for addition and multiplication for the rational numbers. |
| 4. | Five marks exercise problems III | Other | hard | 5 m. | In this exercise, verify the property of associative for rational numbers. |
| 5. | Five marks exercise problems IV | Other | hard | 5 m. | In this exercise, verify the distributive property for rational numbers. |
| 6. | Five marks exercise problems V | Other | hard | 5 m. | In this exercise, verify the identity property for addition and multiplication. |
| 7. | Five marks exercise problems VI | Other | hard | 5 m. | In this exerise, verify the inverse properties of raional numbers. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the right property of rational number | Other | easy | 3 m. | Practice the associative, closure and commutative of rational numbers. |
| 2. | Find the additive identity for rationals | Other | easy | 2 m. | Practice the additive identity of rational numbers. |
| 3. | Determine the multiplicative identity for rationals | Other | easy | 2 m. | Practice the multiplication identity of rational numbers. |
| 4. | Find the closure property | Other | medium | 4 m. | Practice the closure property of multiplication and addition of rational numbers. |
| 5. | Determine the commutative property | Other | medium | 4 m. | Practice both the addition and multiplication of commutative property. |
| 6. | Evaluate the associative property | Other | medium | 4 m. | Practice the associative property of addition and multiplication of rational numbers. |
| 7. | Find the values using distributive property | Other | medium | 8 m. | Practise to find the asked values using distributive property of rational numbers. |
| 8. | Estimate the closure property of multiplication | Other | hard | 2 m. | Practice the closure property of multiplication of rational numbers. |
| 9. | Evaluate the associative property of multiplication | Other | hard | 4 m. | Practice the associative property of multiplication of rational numbers. |
| 10. | Determine the commutative property of multiplication | Other | hard | 2 m. | Practice the commutative property of multiplication of rational numbers. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Verify the associative property | Other | hard | 5 m. | In this exercise, verify the property of associative for rational numbers. |
| 2. | Verify the identity property | Other | hard | 5 m. | In this exercise, verify the identity property for addition and multiplication. |
| 3. | Verify the inverse property | Other | hard | 5 m. | In this exerise, verify the inverse properties of raional numbers. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the associative property of addition | Other | medium | 2 m. | Practice the associative property of addition of rational numbers. |
| 2. | Evaluate the commutative property of addition | Other | medium | 2 m. | Practice both the addition of commutative property. |
| 3. | Find the closure property | Other | medium | 4 m. | Practice the closure property of multiplication and subtraction of rational numbers. |
| 4. | Determine the right identity of rational numbers | Other | medium | 6 m. | Practice the additive and multiplicative identity of rational numbers. |
| 5. | Verify distributive property | Other | medium | 4 m. | Practise to verify distributive property of rational numbers. |
| 6. | Find the other rational number | Other | medium | 2 m. | Practice the sum of rational number if one number is given to find the other rational number. |
| 7. | Determine the non zero rational number | Other | medium | 2 m. | Practice the division property of rational number as non zero. |
| 8. | Property of rational number | Other | easy | 2 m. | Practice the associative, closure and commutative of rational numbers. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:15:00 | medium | 6 m. | |
| 2. | Homework II | 00:20:00 | medium | 13 m. | |
| 3. | Homework III | 00:20:00 | medium | 12 m. | |
| 4. | Homework IV | 00:20:00 | medium | 6 m. | |
| 5. | Revision test I | 00:20:00 | medium | 13 m. | |
| 6. | Revision test II | 00:20:00 | medium | 15 m. | |
| 7. | Revision test III | 00:20:00 | medium | 13 m. | |
| 8. | Revision test IV | 00:20:00 | medium | 14 m. | |
| 9. | Revision test V | 00:20:00 | medium | 6 m. | |
| 10. | Periodic assessment | 00:10:00 | medium | 2 m. |
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