UPSKILL MATH PLUS
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Theory
| Number | Name | Description |
|---|---|---|
| 1. | Introduction | Get introduced to the concept of similar figures. |
| 2. | Similar figures | Learn the concept of similar figures. |
| 3. | Activity based on similar figures | Learn the concept of similar figures through an activity. |
| 4. | Similarity of triangles | Learn the concept of similarity of triangles. |
| 5. | Theorems | Let us learn the theorems based on similar triangles. |
| 6. | Examples | Learn how to apply the theorem in the problems. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | State the given figures are similar | 1st type - receptive | easy | 3 m. | Practice a problem to find the given figures are similar or not. |
| 2. | Find the unknown side of the similar figures | 2nd type - interpretation | easy | 3 m. | Try to calculate the unknown side of the similar figures. |
| 3. | Calculate the side AD of triangle ABC | 2nd type - interpretation | easy | 3 m. | Apply the theorem and determine the side EC of the given triangle. |
| 4. | Find the length of AE of triangle ABC | 2nd type - interpretation | easy | 3 m. | Practice a problem by applying the theorem and find the value of AE. |
| 5. | Determine the value of the variable | 2nd type - interpretation | medium | 4 m. | Apply the theorem and find the value of the variable. |
| 6. | Determine the perimeter of the similar triangles | 2nd type - interpretation | medium | 4 m. | Check your understanding skills in the concept of similar triangles. |
| 7. | Find the side length of the triangle | 2nd type - interpretation | medium | 4 m. | Apply the theorem and determine the side length of the triangle. |
| 8. | Check whether the lines of the triangle are parallel | 2nd type - interpretation | medium | 4 m. | Practice a problem to verify the statemet by applying the theorem. |
| 9. | Determine the length of PM | 2nd type - interpretation | medium | 4 m. | Check your understanding skills in the concept of solving problems by applying theorems. |
| 10. | Calculate the length of PT and VQ | 2nd type - interpretation | medium | 4 m. | Apply the theorem and find the length of PT and VQ. |
| 11. | Observe the picture and answer the questions | 3rd type - analysis | hard | 5 m. | Check your understanding skills in the concept of Thales theorem. |
| 12. | Determine the height of the small tree | 3rd type - analysis | hard | 5 m. | Check your understanding skills in the concept of Thales theorem. |
| 13. | Determine the lengths of the remaining sides of the triangle | 3rd type - analysis | hard | 5 m. | Check your understanding skills in the concept of similar triangles. |
| 14. | Calculate the height of the mother | 3rd type - analysis | hard | 5 m. | Check your understanding skills in the concept of Thales theorem. |
| 15. | Verify the trees are parallel | 3rd type - analysis | hard | 5 m. | Practice a problem to verify the statemet by applying the theorem. |
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. | Answer the question using scale factor | Other | easy | 3 m. | Try to find the actual size of the given object. |
| 3. | Observe the given figure and answer the question | Other | medium | 4 m. | Understand the given question and answer the following. |
| 4. | Prove the following | Other | medium | 4 m. | Try to prove the given question by applying the theorem. |
| 5. | Choose the correct choice for the given statements | Other | hard | 5 m. | Check your understanding skills in the concept of similar triangles and Thales theorem. |
Tests
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Training test I | 00:15:00 | easy | 9 m. | |
| 2. | Training test II | 00:15:00 | medium | 11 m. | |
| 3. | Training test III | 00:20:00 | medium | 12 m. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework | 00:20:00 | medium | 12 m. | |
| 2. | Progress test I | 00:20:00 | medium | 17 m. | |
| 3. | Progress test II | 00:20:00 | hard | 19 m. |
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