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Methodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| 1. | Introduction about basic properties of integers | In this topic 5 basic properties associated with integers are explained. |
| 2. | Associative property | Learn how associative law is used while adding and multiplying two numbers. |
| 3. | Distributive property | In this topic, learn how distributive property is used in addition, subtracion, multiplication and division of two numbers. |
| 4. | Commutative property | Learn how commutative property can be used to add, subtract, multiply and divide. |
| 5. | Identity property | Learn what is the identity of a number and how it is helpful in addition, subtraction, multiplication and division of numbers. |
| 6. | Inverse property | Learn about the additive inverse and multiplicative of a number with suitable examples. |
| 7. | Closure property | Learn closure property for addition, subtraction, multiplication, and division of two numbers are explained clearly with examples. |
| 8. | Do the multiplication in easier way | Learn how to do the multiplication in simple way. |
| 9. | Summary table of properties and operations | All the properties of integers are shown in a tablular form for better understanding of all the properties. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Choose the correct answer | 2nd type - interpretation | easy | 3 m. | Practise how to solve the given expression using the associative property. |
| 2. | Complete the expression using commutative property | 3rd type - analysis | easy | 3 m. | Practise to solve the expression using the commutative property. |
| 3. | Solve the questions using identity property | 2nd type - interpretation | easy | 2 m. | Practise to solve the given expressions using the identity property. |
| 4. | Answer the questions using inverse property | 2nd type - interpretation | easy | 1.5 m. | Practise to solve the given questions using the inverse property of addition. |
| 5. | Choose the name of the property | 2nd type - interpretation | easy | 4 m. | Practise to identify the correct property for the expressions given. |
| 6. | Find the product in easier way | 1st type - receptive | easy | 3 m. | Apply the properties learned and caculate the product in easier method. |
| 7. | Simplify the expression | 1st type - receptive | easy | 3 m. | Practice a problem on product of numbers with the help of properties of integers. |
| 8. | Solve the questions using properties of integers | 2nd type - interpretation | medium | 4 m. | Evaluate the expressions given and choose the correct property from the dropdown. |
| 9. | Solve the problems using property of integers | 2nd type - interpretation | medium | 4 m. | Answer the questions after reading the information given carefully based on the inverse property discussed previously. |
| 10. | Solve the problems using distributive property | 2nd type - interpretation | medium | 4 m. | Use all types of distributive property and answer the questions in the boxes provided. |
| 11. | Find the product of numbers, using suitable properties. | 2nd type - interpretation | medium | 4 m. | Try to apply the properties of integers and find the product value in easier way. |
| 12. | Choose the correct answer | 3rd type - analysis | hard | 4 m. | Choose the correct answer for each question after understanding all the expressions provided. |
| 13. | Calculate the answer using properties of integers. | 2nd type - interpretation | hard | 4 m. | Read the given information about the problem properly and answer each question step by step. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Select the correct expression | Other | easy | 3 m. | Choose the best option which represents the distributive property of multiplication over addition from the options given. |
| 2. | Prove commutative property of integers | Other | medium | 4 m. | Prove two commutative properties taking integers as examples. |
| 3. | Find the correct representation | Other | medium | 3 m. | Try to find which of the options is represented using associative property. |
| 4. | Determine the answers based on properties of integers | Other | hard | 5 m. | Use the suitable property and write the answer along with the sign of the integer. |
| 5. | Find the correct representation | Other | medium | 2 m. | Try to find which of the options is represented using associative property. |
| 6. | Distributive property | Other | medium | 2 m. | Use all types of distributive property and answer the questions in the boxes provided. |
| 7. | Determine the property | Other | medium | 2 m. | Practise the problems related to the commutative property of integers. |
| 8. | Application of integers | Other | hard | 1 m. | Practise the application oriented problems related to integers. |
Tests
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Training test | 00:15:00 | medium | 9 m. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework | 00:20:00 | medium | 11 m. | |
| 2. | Homework | 00:20:00 | hard | 12 m. | |
| 3. | Progress test | 00:20:00 | medium | 11 m. | |
| 4. | Progress test | 00:20:00 | hard | 14 m. | |
| 5. | Periodic Assessment | 00:15:00 | medium | 8 m. | PA 1 |
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