UPSKILL MATH PLUS
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Theory
| Number | Name | Description |
|---|---|---|
| 1. | Introduction to triginometric ratios | To learn the trigonometric ratios from the right angled triangle. |
| 2. | Reciprocals of basic triginometric ratios | To learn the reciprocals of trigonometric ratios. |
| 3. | Trigonometric ratios of 45° | To derive the values of all the trigonometric ratios of 45°. |
| 4. | Trigonometric ratios of 30° and 60° | To derive the values of all the trigonometric ratios of 30° and 60°. |
| 5. | Trigonometric ratios of 0° | To derive the values of all the trigonometric ratios of 0°. |
| 6. | Trigonometric ratios of 90° | To derive the values of all the trigonometric ratios of 90°. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Compute the ratios | 2nd type - interpretation | easy | 3 m. | To compute the trigonometric ratios from the given data. |
| 2. | Find the ratios from the figure | 2nd type - interpretation | easy | 2 m. | To find the trigonomrtic values based on the given angles in the figure. |
| 3. | Find the length of the required side | 2nd type - interpretation | easy | 2 m. | To find the required length of the side using the trigonometry ratio table. |
| 4. | Evaluate the expression | 2nd type - interpretation | easy | 2 m. | To evaluate the value of the given expression using the trigonometry ratio table. |
| 5. | Find the value of the given expression | 2nd type - interpretation | easy | 2 m. | To evaluate the value of the given expression using the trigonometry ratio table. |
| 6. | Find the angle | 2nd type - interpretation | easy | 2 m. | To find the required angle using the trigonometry ratio table. |
| 7. | Find the given trigonometric ratio | 3rd type - analysis | medium | 3 m. | To find the given trigonometric ratio from the graph described. |
| 8. | Find the sine value | 3rd type - analysis | medium | 3 m. | To compute the value of the trigonometric ratio sine from the data provided. |
| 9. | Find the value of the expression | 2nd type - interpretation | medium | 3 m. | To find the value of the given expression using the given ratio. |
| 10. | Find the value of sinθ | 3rd type - analysis | medium | 3 m. | To compute the value of the trigonometric ratio sin𝜃. |
| 11. | Determine the six trigonometric ratios | 2nd type - interpretation | medium | 3 m. | To compute all the six trigonometric ratios from the given data. |
| 12. | Find the cosine value | 3rd type - analysis | medium | 3 m. | To compute the value of the trigonometric ratio cosine from the data provided. |
| 13. | Simplify | 2nd type - interpretation | medium | 3 m. | To simplify the given expression using the trigonometric ratio table. |
| 14. | Find the two angles | 2nd type - interpretation | medium | 3 m. | To find the two required angles using the data provided. |
| 15. | Find the value of 'y' and 'z' | 3rd type - analysis | hard | 4 m. | To find the value of 'y' and 'z' using the trigonometry ratio table. |
| 16. | Find the sine and cosine value | 3rd type - analysis | hard | 4 m. | To find the unknown side 'z' of the triangle and to compute the trigonometric ratios. |
| 17. | Find the true relation | 3rd type - analysis | hard | 4 m. | To find the relation that staisfies the trigonometric ratios. |
| 18. | Match the values with their appropriate ratios | 3rd type - analysis | hard | 6 m. | To match the columns with the corresponding trigonometric ratios. |
| 19. | Find the trigonometric ratios | 3rd type - analysis | hard | 5 m. | To compute all the trigonometric ratios from the given data. |
| 20. | Choose the correct expression | 3rd type - analysis | hard | 4 m. | To choose the correct trigonometric expression by simplifying the given expression. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Construct and determine | Other | easy | 3 m. | To construct a right angled triangle using a circle and to determine its trigonometric ratios. |
| 2. | Prove the equation | Other | medium | 4 m. | To prove the given equation using trigonometric ratio table. |
| 3. | Derive the trigonometric ratios of 0° | Other | hard | 6 m. | To derive the values of all the trigonometric ratios of 0°. |
| 4. | Derive the trigonometric ratios of 90° | Other | hard | 6 m. | To derive the values of all the trigonometric ratios of 90°. |
Tests
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Training test I | 00:15:00 | medium | 10 m. | |
| 2. | Training test II | 00:15:00 | medium | 10 m. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:20:00 | hard | 13 m. | |
| 2. | Homework II | 00:20:00 | hard | 13 m. | |
| 3. | Progress test I | 00:25:00 | hard | 18 m. | |
| 4. | Progress test II | 00:25:00 | hard | 19 m. |
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