UPSKILL MATH PLUS
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Theory
| Number | Name | Description |
|---|---|---|
| 1. | Introduction | Get introduced to the topic of geometry. |
| 2. | Similarity | Learn the concept of similarity of figures. |
| 3. | Similar triangles | Learn the concept of similar triangles. |
| 4. | Criteria of similarity | Let us learn the concept of criteria of similarity of triangles. |
| 5. | Results on similar triangles | Let us learn some useful results on similar triangles. |
| 6. | Construction of similar triangles | Let us learn how to construct similar triangles. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Multiple choice questions I | Other | easy | 2 m. | Understand the problem and choose the correct answer using similarity of triangles. |
| 2. | Multiple choice questions II | Other | easy | 2 m. | Understand the problem and choose the correct answer using similarity of triangles. |
| 3. | Two mark example problems I | Other | medium | 4 m. | Work on the problem using properties of similar of triangles. |
| 4. | Two mark example problems II | Other | medium | 4 m. | Work on the problem using properties of similar of triangles. |
| 5. | Two mark example problems III | Other | medium | 2 m. | Work on the problem using properties of similar of triangles. |
| 6. | Two mark exercise problems I | Other | medium | 4 m. | Work on the problem using properties of similar of triangles. |
| 7. | Two mark exercise problems II | Other | medium | 2 m. | In this exercise, work on the problem to find the required value using properties of similar triangles. |
| 8. | Two mark exercise problems III | Other | medium | 0 m. | In this exercise, work on the problem to find the required value using properties of similar triangles. |
| 9. | Two mark exercise problems IV | Other | medium | 0 m. | In this exercise, work on the problem to find the required value using properties of similar triangles. |
| 10. | Five mark example problems I | Other | hard | 10 m. | Work on the problem to find the angle using properties of similarity of triangles. |
| 11. | Five mark example problems II | Other | hard | 10 m. | In this exercise, understand the situation and answer the questions. |
| 12. | Five mark example problems III | Other | hard | 0 m. | Work on the problem to find the angle using properties of similarity of triangles. |
| 13. | Five mark exercise problems I | Other | medium | 5 m. | In this exercise, work on the problem to find the required value using properties of similar triangles. |
| 14. | Five mark exercise problems II | Other | medium | 5 m. | In this exercise, work on the problem to find the required value using properties of similar triangles. |
| 15. | Five mark exercise problems III | Other | hard | 10 m. | In this exercise, understand the situation and answer the questions. |
| 16. | Five mark exercise problems IV | Other | hard | 5 m. | In this exercise, understand the situation and answer the questions. |
| 17. | Five mark exercise problems V | Other | hard | 5 m. | Work on the problem to find the angle using properties of similarity of triangles. |
| 18. | Five mark exercise problems VI | Other | hard | 5 m. | Work on the problem to find the value using properties of similarity of triangles. |
| 19. | Eight mark example problems I | Other | hard | 0 m. | Try to construct a triangle similar to the given triangle. |
| 20. | Eight mark example problems II | Other | hard | 0 m. | Try to construct a triangle similar to the given triangle. |
| 21. | Eight mark exercise problems I | Other | hard | 0 m. | Try to construct a triangle similar to the given triangle. |
| 22. | Eight mark exercise problems II | Other | hard | 0 m. | Try to construct a triangle similar to the given triangle. |
| 23. | Eight mark exercise problems III | Other | hard | 0 m. | Try to construct a triangle similar to the given triangle. |
| 24. | Eight mark exercise problems IV | Other | hard | 0 m. | Try to construct a triangle similar to the given triangle. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the ratio of the corresponding sides | Other | easy | 1 m. | To find the ratio of the corresponding sides of the triangle using the theorem on areas of similar triangle. |
| 2. | Find the area of the similar triangle | Other | easy | 1 m. | To find the area of the similar triangle using the theorem on areas of similar triangle. |
| 3. | Find the ratio of the areas | Other | easy | 1 m. | To find the ratio of the areas of the triangle using the theorem on areas of similar triangle. |
| 4. | Find the value of the unknown | Other | easy | 1 m. | Find the value of the unknown side of the given figure. |
| 5. | Find the unknown part of the triangle | Other | medium | 2 m. | In this exercise, find the unknown part of the given triangle. |
| 6. | Determine the perimeter of the similar triangles | Other | medium | 2 m. | Check your understanding skills in the concept of similar triangles. |
| 7. | Find the required portion of the triangle | Other | medium | 4 m. | In this exercise, find the required portion of the given triangle. |
| 8. | Find the similarity criterion | Other | medium | 2 m. | Find the similarity criterion exhibited by the two given triangles. |
| 9. | Observe the picture and answer the questions | Other | medium | 2 m. | Try to answer the given question by analysing the given figure. |
| 10. | Determine the length of DE | Other | medium | 4 m. | Practice a problem to find the length of DE using the similarity criterion. |
| 11. | Determine the altitude of the triangle | Other | hard | 4 m. | Try to find the altitude of the given similar triangle. |
| 12. | Find the length of the shadow | Other | hard | 5 m. | Find the length of the shadow using the appropriate similarity criterion. |
| 13. | Determine the lengths of the remaining sides of the triangle | Other | hard | 5 m. | Check your understanding skills in the concept of similar triangles. |
| 14. | Find the height of the building | Other | hard | 5 m. | Find the height of the building by applying the appropriate similarity criterion. |
| 15. | Determine the height of the man | Other | hard | 5 m. | Try to find the height of the man. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Check whether the triangles are similar or not | Other | medium | 4 m. | Work on the problem using properties of similar of triangles. |
| 2. | Answer the questions IV | Other | hard | 10 m. | In this exercise, understand the situation and answer the questions. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the length AB of the triangular park | Other | easy | 3 m. | Check your understanding skills in the concept of similar triangles. |
| 2. | Find the measure of the corresponding side | Other | easy | 3 m. | To find the measure of the corresponding side using the theorem on areas of similar triangle. |
| 3. | Calculate the length of DC | Other | medium | 4 m. | Using the result on similar triangle, find the length of DC. |
| 4. | Find the length of AE | Other | medium | 4 m. | Practice a problem to find the length of AE using the similarity criterion. |
| 5. | Construct a triangle similar to given triangle | Other | hard | 10 m. | Practice a problem to construct a triangle which is similar to the given triangle. |
| 6. | Construct a similar triangle | Other | hard | 5 m. | Try to construct a similar triangle to the given triangle. |
| 7. | Similar triangles | Other | hard | 2 m. | In this exercise, understand the situation and answer the questions. |
| 8. | Similar triangles | Other | medium | 1 m. | Work on the problem using properties of similar of triangles. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:15:00 | easy | 7 m. | |
| 2. | Homework II | 00:15:00 | easy | 7 m. | |
| 3. | Homework III | 00:15:00 | easy | 7 m. | |
| 4. | Homework IV | 00:25:00 | medium | 11 m. | |
| 5. | Homework V | 00:25:00 | medium | 12 m. | |
| 6. | Homework VI | 00:25:00 | medium | 12 m. | |
| 7. | Revision test I | 00:25:00 | medium | 8 m. | |
| 8. | Revision test II | 00:30:00 | hard | 15 m. | |
| 9. | Revision test III | 00:35:00 | hard | 15 m. | |
| 10. | Revision test IV | 00:35:00 | hard | 20 m. | |
| 11. | Revision test V | 00:45:00 | hard | 20 m. | |
| 12. | Revision test VI | 00:35:00 | hard | 30 m. | |
| 13. | Periodic Assessment | 00:10:00 | medium | 2 m. | |
| 14. | Periodic Assessment - 3 | 00:10:00 | medium | 1 m. | PA3 |
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