UPSKILL MATH PLUS

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Methodical recommendation:

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°.
7. Trigonometric ratios of complementary angles To learn the trigonometric ratios of complementary angles.
8. Method of using trigonometric table To learn the method of using trigonometric table.
9. Mind map Learn the mind map of the introduction of trigonometry.

Textbook Questions

Number Name Type Difficulty Marks Description
1. Multiple choice questions I Other easy 4 m. Select the suitable choice for the given questions.
2. Multiple choice questions II Other easy 3 m. Select the correct answers for the given questions.
3. Multiple choice questions III Other easy 3 m. Select the suitable choice for the given questions.
4. Two mark example problems I Other easy 6 m. Try to find the trigonometric ratios.
5. Two mark example problems II Other easy 8 m. Practice the problem to find the values using trigonometric ratios.
6. Two mark example problems III Other easy 6 m. Practice a problem to express the given in terms of cos, cot and sec.
7. Two mark example problems IV Other easy 8 m. Try to find the values of the given using trigonometric ratios.
8. Two mark example problems V Other easy 6 m. Try to answer the given questions.
9. Two mark example problems VI Other easy 8 m. Try to answer the given questions.
10. Two mark example problems VII Other easy 4 m. Try to find the values of A and B.
11. Two mark exercise problems I Other easy 12 m. Try to answer the given questions.
12. Two mark exercise problems II Other medium 6 m. Check your understanding skills in the concept of trigonometric ratios.
13. Two mark exercise problems III Other medium 6 m. Try to answer the given questions.
14. Two mark exercise problems IV Other medium 6 m. Practice a problem to find the value of the trigonometric ratios.
15. Two mark exercise problems V Other medium 6 m. Try to find the values of the trigonometric ratios.
16. Two mark exercise problems VI Other medium 6 m. Check your understanding skills in the concept of finding the values of trigonometric ratios.
17. Two mark exercise problems VII Other medium 6 m. Try to answer the given questions.
18. Two mark exercise problems VIII Other medium 6 m. Try to determine the value of θ
19. Two mark exercise problems IX Other medium 6 m. Practice a problem to find the value of θ.
20. Two mark exercise problems X Other medium 4 m. Try to answer the given questions using trigonometric ratios.
21. Five mark example problems I Other medium 5 m. Practice a problem to determine the six trigonometric ratios.
22. Five mark example problems II Other medium 5 m. Practice a problem to find the trigonometric ratios.
23. Five mark example problems III Other medium 5 m. Try to prove the given statement.
24. Five mark example problems IV Other hard 5 m. Check your understanding skills in the concept of solving by the method of trigonometric table.
25. Five mark exercise problems I Other hard 5 m. Try to find the trigonometric ratios.
26. Five mark exercise problems II Other hard 5 m. Try to answer the given questions.
27. Five mark exercise problems III Other hard 10 m. Try to answer the given questions.
28. Five mark exercise problems IV Other hard 10 m. Try to answer the given questions.
29. Five mark exercise problems V Other hard 10 m. Try to answer the given questions.
30. Five mark exercise problems VI Other hard 10 m. Check your understanding skills in the concept of trigonometric ratios.
31. Five mark exercise problems VII Other hard 10 m. Check your understanding skills in the concept of method of finding the values using trigonometric tables.

Practice Questions

Number Name Type Difficulty Marks Description
1. The ratio of cos theta Other hard 2.5 m. To find the unknown side 'z' of the triangle and to compute the trigonometric ratios.
2. Compute the ratios Other easy 3 m. To compute the trigonometric ratios from the given data.
3. Find the ratios from the figure Other easy 2 m. To find the trigonomrtic values based on the given angles in the figure.
4. Evaluate the value Other easy 2 m. To evaluate the value of the given expression using the trigonometry ratio table.
5. Find the value of the given expression Other easy 2 m. To evaluate the value of the given expression using the trigonometry ratio table.
6. Find the complementary angle Other easy 2 m. To express the given angle in its complementary form.
7. Simplify the following Other easy 2 m. To simplify the given expression using its complementary form.
8. Find the angle 'A' Other easy 2 m. To find the unknown angle 'A' using the trigonometric ratio of complementary angle.
9. Find the value of tangent angle Other easy 2 m. To find the value of tangent angle using trigonometric table.
10. Find the value of cosine angle Other easy 2 m. To find the value of cosine angle using trigonometric table.
11. Find the given trigonometric ratio Other medium 5 m. To find the given trigonometric ratio from the graph described.
12. Find the value of the expression Other medium 5 m. To find the value of the given expression using the given ratio.
13. Find the value of sinθ Other medium 5 m. To compute the value of the trigonometric ratio sin𝜃.
14. Determine the six trigonometric ratios Other medium 5 m. To compute all the six trigonometric ratios from the given data.
15. Catch me! Other medium 5 m. Application problem based on the trigonometric ratio.
16. Find the length of the ladder Other medium 5 m. Application problem based on the trigonometric ratio.
17. Simplify the expression Other medium 5 m. To simplify the given expression using its complementary form.
18. Evaluate the given expression Other medium 5 m. To evaluate the value of the given expression using trigonometric ratio.
19. Simplify Other medium 5 m. To simplify the given expression using the trigonometric ratio table.
20. Find the tree's height Other medium 5 m. To find the height of the tree using trigonometric ratio.
21. Find the sum of the given angles Other medium 5 m. To find the sum of the given angles using trigonometric table.
22. Find the angle measure Other medium 5 m. To find the angle measure using trigonometric table.
23. Choose the correct answer Other hard 5 m. To find the unknown side 'z' of the triangle and to compute the trigonometric ratios.
24. Find the true relation Other hard 5 m. To find the relation that staisfies the trigonometric ratios.
25. Match the columns Other hard 5 m. To match the columns with the corresponding trigonometric ratios.
26. Find the trigonometric ratios Other hard 5 m. To compute all the trigonometric ratios from the given data.
27. Choose the best answer Other hard 5 m. To choose the correct trigonometric expression by simplifying the given expression.
28. Find the distance Other hard 5 m. Application problem based on the trigonometric ratio.
29. Find the area Other hard 5 m. To find the area of the right-angled triangle for the given acute angle measure using trigonometric table.
30. Find the angle made by the tower Other hard 5 m. To find the angle made by the tower using the trigonometric table.

Key Questions for School Exam Preparation

Number Name Type Difficulty Marks Description
1. Find the value Other easy 2 m. Try to answer the given question.
2. Determine the value of θ Other medium 2 m. Practice a problem to find the value of θ.

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. Find the value of sine angle Other easy 5 m. To find the value of sine angle using trigonometric table.
3. Prove the following Other medium 5 m. To prove the given expression using trigonometric ratio of complementary angle.
4. Find the difference Other medium 5 m. To evaluate the value of the given sum using trigonometric table.
5. Prove the equation Other hard 5 m. To prove the given equation using trigonometric ratio table.
6. Find the distance between the ships Other hard 5 m. Application problem based on the trigonometric ratio.
7. Trigonometric ratios Other easy 1 m. To find the trigonomrtic values based on the given angles in the figure.
8. Find values using trigonometry ratios: sinθ and cosθ Other hard 1 m. Try to answer the given questions.
9. Find values using trigonometric table Other medium 1 m. Check your understanding skills in the concept of trigonometric ratios.
10. Find values using trigonometric table: sinθ and cosθ Other medium 1 m. Try to answer the given questions.
11. Find the angle using trigonometric ratio Other easy 1 m. To find the unknown angle 'A' using the trigonometric ratio of complementary angle.
12. Trigonometric ratios for complementary angles: cosecθ Other easy 2 m. Practice a problem to express the given in terms of cos, cot and sec.
13. Trigonometric ratios for complementary angles: tanθ Other easy 1 m. Try to find the values of the given using trigonometric ratios.
14. Values of trigonometric angle Other medium 1 m. Try to answer the given questions.
15. Evaluate the trigonometric expression Other easy 2 m. To evaluate the value of the given expression using the trigonometry ratio table.
16. Using sin table find the angle Other medium 2 m. Try to determine the value of θ
17. Determine the angle using cosine table Other medium 1 m. Check your understanding skills in the concept of finding the values of trigonometric ratios.
18. Find the angle using trigonometric value for cosine Other medium 1 m. Practice a problem to find the value of θ.
19. Find the trigonometric ratios Other hard 1 m. To compute all the trigonometric ratios from the given data.
20. Find the value using reciprocal ratios Other medium 1 m. Try to prove the given statement.
21. Simplify using trigonometric ratios for complementary angles Other easy 1 m. Try to find the values of the given using trigonometric ratios.
22. Solve using trigonometric ratios:sin θ and cos θ Other easy 1 m. Practice the problem to find the values using trigonometric ratios.
23. The ratio of cos theta Other hard 2.5 m. To find the unknown side 'z' of the triangle and to compute the trigonometric ratios.
24. The value of theta Other easy 1 m. Select the correct answers for the given questions.
25. Trigonometric ratios for complementary angles Other medium 1 m. Try to find the values of the trigonometric ratios.

Periodic assessments

Number Name Recomended time: Difficulty Marks Description
1. Homework I 00:15:00 easy 10 m.
2. Homework II 00:15:00 easy 10 m.
3. Homework III 00:20:00 easy 16 m.
4. Homework IV 00:25:00 easy 18 m.
5. Homework V 00:35:00 medium 20 m.
6. Homework VI 00:35:00 medium 20 m.
7. Homework VII 00:35:00 medium 20 m.
8. Homework VIII 00:35:00 medium 20 m.
9. Revision test I 00:35:00 medium 20 m.
10. Revision test II 00:35:00 medium 20 m.
11. Revision test III 00:35:00 medium 20 m.
12. Revision test IV 00:35:00 hard 23 m.
13. Revision test V 00:35:00 hard 24 m.
14. Revision test VI 00:35:00 hard 24 m.
15. Revision test VII 00:35:00 hard 24 m.
16. Revision test VIII 00:40:00 hard 30 m.
17. Revision test IX 00:40:00 hard 32 m.
18. Periodic Assessment 00:10:00 medium 18 m. PA 2
19. Bridge Course Demo 2 00:10:00 medium 2 m.
20. Periodic Assessment - Extended version 00:10:00 medium 18.5 m. PA 2