PUMPA - SMART LEARNING
எங்கள் ஆசிரியர்களுடன் 1-ஆன்-1 ஆலோசனை நேரத்தைப் பெறுங்கள். டாப்பர் ஆவதற்கு நாங்கள் பயிற்சி அளிப்போம்
Book Free DemoMethodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| 1. | Pythagoras theorem | To know the Pythagorean theorem and its proof based on the similarity of triangles. |
| 2. | Visual illustration of pythagoras theorem and its converse | To understand the Pythagorean theorem visually and to learn its converse. |
| 3. | Altitude-on-Hypotenuse theorem | To known the Altitude-on-Hypotenuse theorem. |
| 4. | Trapezium and its properties | To discuss what is a trapezium and to know is properties. |
| 5. | Constructing a trapezium with three sides and a diagonal | To learn how to construct a trapezium when the measure of three sides and a diagonal of it are given. |
| 6. | Constructing a trapezium with three sides and an angle | To learn how to construct a trapezium when the measure of three sides and an angle of it are given. |
| 7. | Constructing a trapezium with two sides and two angles | To learn how to construct a trapezium when the measure of two sides and two angles of it are given. |
| 8. | Constructing a trapezium with four sides known | To learn how to construct a trapezium when the measure of all the four sides are given. |
| 9. | Parallelogram and its properties | To discuss what is a parallelogram and to know is properties. |
| 10. | Constructing a parallelogram with two adjacent sides and one angle | To learn how to construct a parallelogram when the measure of two adjacent sides and an angle of it are given. |
| 11. | Constructing a parallelogram with two adjacent sides and one diagonal | To learn how to construct a parallelogram when the measure of two adjacent sides and a diagonal of it are given. |
| 12. | Constructing a parallelogram with two diagonals and one included angle | To learn how to construct a parallelogram when the measure of two diagonals and one included angle of it are given. |
| 13. | Constructing a parallelogram with one side, one angle and one diagonal | To learn how to construct a parallelogram when the measure of one side, one angle and one diagonal of it are given. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | One mark exercise problems I | Other | easy | 3 m. | Select the correct choice for the given questions. |
| 2. | One mark exercise problems II | Other | easy | 2 m. | State whether the given statements are correct or not. |
| 3. | One mark exercise problems III | Other | easy | 2 m. | Select the suitable choice for the given questions. |
| 4. | Two mark example problems | Other | easy | 4 m. | Try to answer the given questions. |
| 5. | Two mark exercise problems I | Other | medium | 4 m. | Check your understanding skills in the concept of Pythagoras theorem. |
| 6. | Two mark exercise problems II | Other | medium | 4 m. | Check your understanding skills in the concept of Pythagoras theorem. |
| 7. | Two mark exercise problems III | Other | medium | 4 m. | Check your understanding skills in the concept of Pythagoras theorem. |
| 8. | Two mark exercise problems IV | Other | medium | 4 m. | Check your understanding skills in the concept of Pythagoras theorem. |
| 9. | Three mark example problems | Other | medium | 3 m. | Try to answer the given question. |
| 10. | Three mark exercise problems I | Other | medium | 3 m. | Apply the concept of Pythagorean theorem and find the required. |
| 11. | Three mark exercise problems II | Other | medium | 3 m. | Apply the concept of Pythagorean theorem and find the required. |
| 12. | Four mark example problems I | Other | medium | 4 m. | Try to answer the given questions. |
| 13. | Four mark example problems II | Other | medium | 4 m. | Check your understanding skills in the concept of Pythagoras theorem. |
| 14. | Four mark exercise problems | Other | medium | 4 m. | Apply the concept of pythagoras theorem. |
| 15. | Five mark example problems I | Other | medium | 0 m. | Try to draw the trapezium when its three sides and one diagonal are given. |
| 16. | Five mark example problems II | Other | medium | 0 m. | Practice a problem to construct a trapezium when its three sides and one angle are provided. |
| 17. | Five mark example problems III | Other | medium | 0 m. | Practice a problem to construct a trapezium when its two sides and two angles are given. |
| 18. | Five mark example problems IV | Other | medium | 0 m. | Try to construct a trapezium when its four sides are given. |
| 19. | Five mark example problems V | Other | medium | 0 m. | Try to construct a parallelogram when its two adjacent sides and one angle are provided. |
| 20. | Five mark example problems VI | Other | medium | 0 m. | Try to construct a parallelogram when its two adjacent sides and one diagonal are provided. |
| 21. | Five mark example problems VII | Other | hard | 0 m. | Try to construct a parallelogram when its two diagonals and one included angle are provided. |
| 22. | Five mark example problems VIII | Other | hard | 0 m. | Try to construct a parallelogram when its one side, one diagonal and one angle are provided. |
| 23. | Five mark exercise problems I | Other | hard | 0 m. | Try to draw the trapezium when its three sides and one diagonal are given. |
| 24. | Five mark exercise problems II | Other | hard | 0 m. | Practice a problem to construct a trapezium when its three sides and one angle are provided. |
| 25. | Five mark exercise problems III | Other | hard | 0 m. | Practice a problem to construct a trapezium when its two sides and two angles are given. |
| 26. | Five mark exercise problems IV | Other | hard | 0 m. | Try to construct a trapezium when its four sides are given. |
| 27. | Five mark exercise problems V | Other | hard | 0 m. | Try to construct a parallelogram when its two adjacent sides and one angle are provided. |
| 28. | Five mark exercise problems VI | Other | hard | 0 m. | Try to construct a parallelogram when its two adjacent sides and one diagonal are provided. |
| 29. | Five mark exercise problems VII | Other | hard | 0 m. | Try to construct a parallelogram when its two diagonals and one included angle are provided. |
| 30. | Five mark exercise problems VIII | Other | hard | 0 m. | Try to construct a parallelogram when its one side, one diagonal and one angle are provided. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Say yes or no! | Other | easy | 2 m. | To check whether the given dimensions form a right angled triangle using the converse of Pythagoras theorem. |
| 2. | Select the following relation which is true | Other | easy | 2 m. | Apply the concept of right triangle and find a suitable relation. |
| 3. | Find the value of 'z' | Other | easy | 2 m. | To find the unknown side 'z' of the triangle using Pyhtagoras theorem. |
| 4. | Pick up the correct sentence | Other | easy | 2 m. | To remember the properties of a parallelogram and the trapezium. |
| 5. | Find the area of the parallelogram | Other | easy | 2 m. | To find the area of the parallelogram using the formula. |
| 6. | Find the area of the trapezium | Other | easy | 2 m. | To find the area of the trapezium using the formula. |
| 7. | Fill in the blank | Other | medium | 3 m. | To find the missing number in the Pythagorean triplet using the Pythagoras theorem. |
| 8. | Determine the side of the right triangle | Other | medium | 3 m. | Work on the problem on right angle triangle by applyig Pythagorous theorem. |
| 9. | Solve for 'x' | Other | medium | 3 m. | To find the value of 'x' using the Altitude-on-Hypotenuse theorem. |
| 10. | Catch me! | Other | medium | 3 m. | Application problem based on the Pythagoras theorem. |
| 11. | Find the value of 'y' | Other | medium | 3 m. | To find the value of 'y' using the Pythagoras theorem. |
| 12. | Answer the following | Other | medium | 3 m. | To answer the given questions based on the Altitude-on-Hypotenuse theorem from the figure. |
| 13. | Find the unknown side | Other | medium | 3 m. | To find the measure of the unknown sides using the Pythagoras theorem. |
| 14. | Calculate the perimeter of the rectangle | Other | hard | 4 m. | Split the rectangle into triangles and apply the property of right triangle. |
| 15. | Find the distance | Other | hard | 4 m. | Application problem based on the Pythagoras theorem. |
| 16. | Find the distance between the ships | Other | hard | 4 m. | Application problem based on the Pythogoras theorem. |
| 17. | Find the area | Other | hard | 4 m. | To practice and understand Altitude-on-Hypotenuse theorem. |
| 18. | Calculate the length | Other | hard | 4 m. | Practice a problem on finding the equal length of isosceles right triangle |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the value of x | Other | hard | 2 m. | Check your understanding skills in the concept of Pythagoras theorem. |
| 2. | Construct a trapezium | Other | medium | 0 m. | Try to construct a trapezium when its four sides are given. |
| 3. | Construct a parallelogram | Other | hard | 0 m. | Try to construct a parallelogram when its two adjacent sides and one diagonal are provided. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Check me! | Other | easy | 2 m. | To chech whether the given numbers form a Pythagorean triplet using the Pythagoras theorem. |
| 2. | Construct a trapezium for the given measures | Other | medium | 5 m. | To construct a trapezium when the measure of three sides and a diagonal of it are given. |
| 3. | Construct the following trapezium for the given measures | Other | medium | 5 m. | To construct a trapezium when the measure of three sides and an angle of it are given. |
| 4. | Construct a parallelogram for the given measures | Other | medium | 5 m. | To construct a parallelogram when the measure of two adjacent sides and an angle of it are given. |
| 5. | Construct the following parallelogram for the given measures | Other | medium | 5 m. | To construct a parallelogram when the measure of two adjacent sides and a diagonal of it are given. |
| 6. | Construct a trapezium for the given measures and find its area | Other | hard | 5 m. | To construct a trapezium when the measure of two sides and two angles of it are given. |
| 7. | Construct the following trapezium for the given measures and find its area | Other | hard | 5 m. | To construct a trapezium when the measure of all the four sides are given. |
| 8. | Construct a parallelogram for the given measures and find its area | Other | hard | 5 m. | To construct a parallelogram when the measure of two diagonals and one included angle of it are given. |
| 9. | Construct the following parallelogram for the given measures and find its area | Other | hard | 5 m. | To construct a parallelogram when the measure of one side, one angle and one diagonal of it are given. |
| 10. | Pythagorean theorem | Other | medium | 2 m. | Apply the concept of Pythagorean theorem and find the required. |
| 11. | A right angle triangle: Pythagorean Theorem | Other | medium | 2 m. | To find the value of 'y' using the Pythagoras theorem. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:15:00 | easy | 8 m. | |
| 2. | Homework II | 00:15:00 | easy | 8 m. | |
| 3. | Homework III | 00:15:00 | easy | 8 m. | |
| 4. | Homework IV | 00:15:00 | easy | 9 m. | |
| 5. | Homework V | 00:15:00 | easy | 9 m. | |
| 6. | Homework VI | 00:25:00 | medium | 9 m. | |
| 7. | Homework VII | 00:25:00 | medium | 10 m. | |
| 8. | Homework VIII | 00:25:00 | medium | 8 m. | |
| 9. | Revision test I | 00:25:00 | medium | 8 m. | |
| 10. | Revision test II | 00:25:00 | medium | 8 m. | |
| 11. | Revision test III | 00:25:00 | medium | 8 m. | |
| 12. | Revision test IV | 00:30:00 | hard | 8 m. | |
| 13. | Revision test V | 00:30:00 | hard | 9 m. | |
| 14. | Revision test VI | 00:30:00 | hard | 15 m. | |
| 15. | Revision test VII | 00:40:00 | hard | 20 m. | |
| 16. | Periodic assessment | 00:10:00 | medium | 4 m. | PA 1 - Pythagorean Theorem and Construction of Trapezium and Parallelogram |
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