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Methodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| 1. | Pythagoras theorem | To know the Pythagorean theorem and its proof based on the similarity of triangles. |
| 2. | Converse of the Pythagoras ttheorem | To learn and understand the converse of the Pythagorean theorem. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Multiple choice question I | Other | easy | 1 m. | In this exercise, choose the correct answers using Pythagoras theorem. |
| 2. | Multiple choice question II | Other | easy | 1 m. | In this exercise, choose the correct answers using Pythagoras theorem. |
| 3. | Multiple choice question III | Other | easy | 1 m. | In this exercise, choose the correct answers using Pythagoras theorem. |
| 4. | Multiple choice question IV | Other | easy | 1 m. | In this exercise, choose the correct answers using Pythagoras theorem. |
| 5. | Two mark example problem | Other | medium | 2 m. | Try to fill the blanks using Pythagoras theorem. |
| 6. | Two mark exercise problem | Other | medium | 2 m. | Try to fill the blanks using Pythagoras theorem. |
| 7. | Five mark example problem I | Other | medium | 5 m. | Answer the questions using Pythagors theorem. |
| 8. | Five mark example problem II | Other | medium | 5 m. | Answer the questions using Pythagors theorem. |
| 9. | Five mark example problem III | Other | medium | 5 m. | To prove the given equation using Pythagoras Theorem. |
| 10. | Five mark exercise problem I | Other | medium | 5 m. | Try to fill the blanks using Pythagoras theorem. |
| 11. | Five mark exercise problem II | Other | medium | 5 m. | Try to fill the blanks using Pythagoras theorem. |
| 12. | Five mark exercise problem III | Other | hard | 5 m. | Answer the questions using Pythagors theorem. |
| 13. | Five mark exercise problems IV | Other | hard | 5 m. | Answer the questions using Pythagors theorem. |
| 14. | Five mark exercise problem V | Other | hard | 5 m. | Answer the questions using Pythagors theorem. |
| 15. | Five mark exercise problem VI | Other | hard | 5 m. | Answer the questions using Pythagors theorem. |
| 16. | Five mark exercise problem VII | Other | medium | 5 m. | To prove the given equation using Pythagoras Theorem. |
| 17. | Five mark exercise problems VIII | Other | medium | 5 m. | To prove the given equation using Pythagoras Theorem. |
| 18. | Five mark exercise problem IX | Other | hard | 5 m. | To prove the given equation using Pythagoras Theorem. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the third side | Other | easy | 2 m. | To find the missing side of the right angled triangle using the Pythagoras theorem. |
| 2. | Find the measure of the hypotenuse | Other | easy | 2 m. | To find the measure of the hypotenuse using the Pythagoras theorem. |
| 3. | Find the distance to the house | Other | easy | 3 m. | Application problem based on the Pythagoras theorem. |
| 4. | Find the radius of the circle | Other | medium | 3 m. | To find the radius of the circle using the Pythagoras theorem. |
| 5. | Find the distance between the boats | Other | medium | 3 m. | To find the measure of the hypotenuse using the Pythagoras theorem. |
| 6. | Determine the dimensions of a rectangle | Other | medium | 3 m. | To check whether the given dimensions are length, breadth and diogonal of a rectangle. |
| 7. | Determine the third angle of the triangle | Other | medium | 3 m. | To find the third angle and check whether the given dimensions form a right angled triangle using the converse of Pythagoras theorem. |
| 8. | How far is the man from the tower? | Other | hard | 4 m. | Application problem based on the converse of Pythagoras theorem. |
| 9. | Find the height of the ladder and answer the question | Other | hard | 5 m. | Application problem to understand Pythagoras theorem better. |
| 10. | Find the area of the triangle | Other | hard | 4 m. | To evaluate the dimensions of the given triangle using Pythagoras theorem and to find its area. |
| 11. | Calculate the distance between the two cars | Other | hard | 4 m. | To calculate the distance between the two cars using the Pythagoras theorem. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Choose the correct answer | Other | easy | 4 m. | In this exercise, choose the correct answer using Pythagors theorem. |
| 2. | Find the distance between two planes | Other | medium | 5 m. | Work on the problem to find the distance between two planes after some hours. |
| 3. | Find the distance | Other | hard | 5 m. | Answer the questions using Pythagors theorem. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Isosceles triangle | Other | easy | 1 m. | In this exercise, choose the correct answers using Pythagoras theorem. |
| 2. | Find the side by applying the Pythagoras theorem | Other | easy | 1 m. | In this exercise, choose the correct answers using Pythagoras theorem. |
| 3. | Application of Pythagoras theorem | Other | medium | 1 m. | Try to fill the blanks using Pythagoras theorem. |
| 4. | Find the area of the isosceles right triangle | Other | easy | 3 m. | To prove the satement and to find the area of the isosceles right triangle. |
| 5. | Calculate the distance | Other | easy | 2 m. | To calculate the distance using the Pythagoras theorem. |
| 6. | Prove the following | Other | medium | 3 m. | To prove the given statement using pythagoras theorem. |
| 7. | Determine the sides of the triangle | Other | medium | 3 m. | To find the sides of the triangle using Pythagoras theorem. |
| 8. | Calculate the equidistance | Other | hard | 4 m. | Application problem on finding the equal length of isosceles right triangle. |
| 9. | Find the initial distance | Other | hard | 4 m. | To find the initial distance using the Pythagoras theorem. |
| 10. | Determine the distance using pythagoras theorem | Other | easy | 1 m. | In this exercise, choose the correct answers using Pythagoras theorem. |
| 11. | Pythagoras theorem | Other | medium | 1 m. | Try to fill the blanks using Pythagoras theorem. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:20:00 | easy | 10 m. | |
| 2. | Homework II | 00:20:00 | easy | 12 m. | |
| 3. | Homework III | 00:20:00 | medium | 12 m. | |
| 4. | Homework IV | 00:25:00 | medium | 16 m. | |
| 5. | Revision test I | 00:30:00 | medium | 17 m. | |
| 6. | Revision test II | 00:30:00 | hard | 20 m. | |
| 7. | Revision test III | 00:40:00 | hard | 30 m. | |
| 8. | Periodic Assessment | 00:10:00 | medium | 6 m. | PA 2 |
| 9. | Periodic Assessment - Extended version | 00:10:00 | medium | 4 m. | PA 2 |
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