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Methodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| 1. | Introduction to real numbers | Recall the concept of real numbers. |
| 2. | The fundamental theorem of arithmetic | Learn fundamental theorem of arithmetic and their usage. |
| 3. | Some example problems | Some example problems based on Euclid's division algorithm and the fundamental theorem of arithmetic. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Choose the correct answers | 3rd type - analysis | easy | 3 m. | Analyse the questions and choose the correct answers. |
| 2. | Factor tree | 3rd type - analysis | easy | 3 m. | Answer the questions using the given factor tree. |
| 3. | Select the correct number | 3rd type - analysis | easy | 3 m. | Practice problem to find the least divisible number. |
| 4. | Prime factorization of numbers | 3rd type - analysis | medium | 4 m. | In this exercise, choose the correct answer for the given assertion and reason. |
| 5. | Find the HCF and LCM of three numbers | 2nd type - interpretation | medium | 4 m. | Work on the problem to find the HCF and LCM of three numbers using prime factorisation method. |
| 6. | Calculate the time | 3rd type - analysis | medium | 4 m. | Calculate the time using the given information. |
| 7. | Determine the value of the variables | 3rd type - analysis | medium | 2 m. | Work on the problem to determine the value of the variables using the given information. |
| 8. | Evaluate the value of the variable | 3rd type - analysis | medium | 4 m. | In this exercise, find the value of the variable using Euclid's division algorithm. |
| 9. | HCF and LCM of algebraic expressions | 2nd type - interpretation | medium | 4 m. | Work on the problem to find the HCF and LCM of given algebraic expressions. |
| 10. | Find the maximum length of the square tile | 3rd type - analysis | hard | 5 m. | In this exercise, answer the questions using prime factorisation method. |
| 11. | Case study based question: Prime factors and HCF | 3rd type - analysis | hard | 5 m. | Understand the situation and answer the given questions. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Determine the HCF and LCM | Other | medium | 4 m. | Work on the problem to find the HCF and LCM of the given numbers using prime factorisation method. |
| 2. | Pick the correct statement | Other | medium | 4 m. | Analyse the assertion and reason, then choose the correct answer. |
| 3. | Case study based question: HCF | Other | hard | 5 m. | Analyse the situation and answer the given questions. |
| 4. | Case Study on HCF and LCM I | Other | medium | 4 m. | To know about HCF and LCM. |
| 5. | Case Study on HCF and LCM II | Other | medium | 4 m. | To know about LCM and HCF. |
| 6. | Assertion and Reasoning on HCF and LCM I | Other | medium | 1 m. | To Know about LCM and HCF. |
| 7. | Assertion and Reasoning on HCF II | Other | medium | 1 m. | To know about HCF of two numbers. |
| 8. | Assertion and Reasoning on LCM III | Other | medium | 1 m. | To know about LCM of two prime numbers. |
| 9. | Assertion and Reasoning on fundamental theorem IV | Other | medium | 1 m. | To know about fundamental theorem of algebra. |
| 10. | Assertion and Reasoning on real numbers V | Other | medium | 1 m. | To know about real numbers. |
| 11. | Word Problems on longest rod I | Other | medium | 1 m. | To know about HCF of three numbers. |
| 12. | Word Problems on least number of buckets II | Other | medium | 1 m. | To find the required number of buckets by using HCF of three numbers. |
| 13. | Word Problems on largest number III | Other | medium | 1 m. | To know about HCF. |
| 14. | Word problems on least number IV | Other | medium | 2 m. | To know about LCM. |
| 15. | Word Problem on equal number of packets V | Other | medium | 2 m. | To know about HCF of two numbers. |
Tests
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Training test I | 00:15:00 | medium | 9 m. | |
| 2. | Training test II | 00:15:00 | medium | 11 m. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:20:00 | medium | 11 m. | |
| 2. | Homework II | 00:20:00 | medium | 16 m. | |
| 3. | Progress test I | 00:20:00 | medium | 14 m. | |
| 4. | Progress test II | 00:20:00 | medium | 15 m. |
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