UPSKILL MATH PLUS
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Theory
| Number | Name | Description |
|---|---|---|
| 1. | Recalling geometrical lines | Let us recall different geometrical lines. |
| 2. | Application of median of a triangle | Here comes an example to visualize the median concept. |
| 3. | Median of a triangle | Let's learn the definition of median and its construction. |
| 4. | Introduction to centroid | Let us get introduced to centroid. |
| 5. | Altitude of a triangle | Let's learn the concept of 'Altitude'. |
| 6. | Altitude of different types of triangle. | Let's discuss the concept of 'Altitude' on different types of triangles. |
| 7. | Formulas to find the side of a triangle | Let's recall the important formulas to find the sides of right triangle. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | One mark exercise problems | Other | easy | 2 m. | Try to fill in the blanks with correct answers. |
| 2. | Two mark example problems I | Other | easy | 2 m. | Check your understanding skills in the concept of median of the triangle. |
| 3. | Two mark example problems II | Other | medium | 4 m. | Check your understanding skills in the concept of centroid of the triangles. |
| 4. | Two mark exercise problems | Other | medium | 4 m. | Try to answer the given question. |
| 5. | Four mark example problems | Other | hard | 4 m. | Practice the problem to find the perimeter of the triangle by applying the concept of centroid. |
| 6. | Four mark exercise problems | Other | hard | 4 m. | Apply the concept of centroid and try to answer the given questions. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Complete the median definition | Other | easy | 1 m. | Select the correct choice based on definition of median. |
| 2. | Complete the altitude definition | Other | easy | 1 m. | Select the correct choice based on definition of altitude. |
| 3. | Determine the half of side length in equilateral triangle | Other | easy | 2 m. | Calculate half of the side length in equilateral triangle using the concept of altitude. |
| 4. | Determine part of a side length of a triangle | Other | easy | 3 m. | Calculate part of the side length of the triangle if side length is known. |
| 5. | Calculate the side length in isosceles triangle | Other | easy | 3 m. | Calculate the side length of an isosceles triangle using the concept of altitude. |
| 6. | Find the altitude in right triangle | Other | medium | 4 m. | Calculate the altitude length in right triangle. |
| 7. | Apply median definition | Other | medium | 4 m. | Complete the sentence with the help of median definition. |
| 8. | Calculate two parts of the given triangle | Other | medium | 4 m. | Calculate the lengths of two parts of a triangle with the help of given expression. Try solving it by median concept. |
| 9. | Evaluate side length if the part of a side is given | Other | medium | 3 m. | Calculate side length of the triangle if a part of the side is known. Solve the problem with the help of median concept. |
| 10. | Find the half of the side of a triangle using its median | Other | medium | 4 m. | Calculate half of the side of a triangle with the help of median value. |
| 11. | Find the part of the median | Other | medium | 3 m. | Calculate the part of the median if its length is known. |
| 12. | Find the length of the median | Other | medium | 3 m. | Calculate the length of the median if one of its parts is known. |
| 13. | Find the specified values | Other | medium | 4 m. | Calculate part of the side length of the triangle if side length is known. |
| 14. | Get the height of isosceles triangle | Other | medium | 4 m. | Calculate the altitude of the isosceles triangle if side measures are given. |
| 15. | Determine altitude of equilateral triangle | Other | medium | 4 m. | Calculate the altitude of an equilateral triangle if side length is given. |
| 16. | Estimate the unknown value and altitude | Other | hard | 5 m. | Calculate the unknown value and the altitude of the triangle using concept of altitude. |
| 17. | Find the unknown value and the required part | Other | hard | 5 m. | Calculate the unknown value and part of a side using altitude concept. |
| 18. | Calculate the altitude of equilateral triangle using its perimeter | Other | hard | 5 m. | Calculate the altitude of an equilateral triangle with the help of its perimeter using the concept of altitude. |
| 19. | Determine the required length | Other | hard | 5 m. | Calculate the required side length of the triangle using the expressions of two parts. Apply the concept of median to solve the problem. |
| 20. | Estimate the perimeter of an equilateral triangle | Other | hard | 5 m. | Calculate perimeter of an equilateral triangle if half of side length is given. |
| 21. | Find the perimeter | Other | hard | 6 m. | Find the perimeter of the triangle based on the given condition. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Fill in the blanks | Other | easy | 1 m. | Try to fill in the blanks with correct answers. |
| 2. | Find the length of XL | Other | medium | 2 m. | Check your understanding skills in the concept of centroid of the triangles. |
| 3. | Determine the centroid | Other | medium | 2 m. | Try to answer the given question. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Say true or false | Other | easy | 1 m. | Verify the correctness of the given statement. |
| 2. | Calculate the hypotenuse of the triangle using the information given | Other | easy | 3 m. | Calculate the hypotenuse length if the part of it is known and solve it by the concept of median. |
| 3. | Find the hypotenuse of right triangle | Other | easy | 3 m. | Calculate the hypotenuse length of the right triangle if the altitudes are given. |
| 4. | Find the unknown interior angle | Other | medium | 3 m. | Calculate the unknown interior angle with the help of altitude and angle sum property concept. |
| 5. | Evaluate the half of side length in isosceles triangle | Other | medium | 4 m. | Calculate the value half of unequal base in isosceles triangle using the concept of altitude. |
| 6. | Calculate the altitude length in right triangle | Other | medium | 4 m. | Calculate the altitude length in right triangle if the sides are known. |
| 7. | Find the height of the window | Other | hard | 4 m. | Calculate the altitude of the isosceles triangle if side measures are given. |
| 8. | Describe the following | Other | medium | 3 m. | Analyse and describe the medians of different types of triangles. |
| 9. | Determine side length of the triangle given its median | Other | medium | 4 m. | Calculate the side length the triangle with the help of its median value. |
| 10. | Determine the two required parts of the triangle using the given measures | Other | medium | 4 m. | Calculate the two parts of a triangle with the help of two other parts of the triangle. Apply the concept of median to solve the problem. |
| 11. | Find half the side length of an equilateral triangle | Other | hard | 5 m. | Calculate half the side length oF an equilateral triangle if perimeter is given. |
| 12. | Find the unknown value from the given expressions | Other | hard | 5 m. | Calculate the unknown value from the given expressions by applying the concept of median. |
| 13. | Creative work for constructing altitude of acute angle triangle | Other | medium | 5 m. | Construct the acute angle triangle and find the three altitude with the help of given information. |
| 14. | Median of a triangle | Other | easy | 1 m. | Check your understanding skills in the concept of median of the triangle. |
| 15. | Centroid of the triangle | Other | medium | 1 m. | Check your understanding skills in the concept of centroid of the triangles. |
| 16. | Determine the half of side length in equilateral triangle | Other | easy | 1 m. | Calculate half of the side length in equilateral triangle using the concept of altitude. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:15:00 | easy | 4 m. | |
| 2. | Homework II | 00:20:00 | easy | 8 m. | |
| 3. | Homework III | 00:25:00 | easy | 11 m. | |
| 4. | Homework IV | 00:25:00 | medium | 12 m. | |
| 5. | Homework V | 00:25:00 | medium | 14 m. | |
| 6. | Homework VI | 00:30:00 | medium | 16 m. | |
| 7. | Revision test I | 00:30:00 | medium | 16 m. | |
| 8. | Revision test II | 00:35:00 | hard | 16 m. | |
| 9. | Revision test III | 00:35:00 | hard | 16 m. | |
| 10. | Revision test IV | 00:35:00 | hard | 18 m. | |
| 11. | Revision test V | 00:35:00 | hard | 20 m. | |
| 12. | Periodic Assessments | 00:15:00 | medium | 6 m. | PA2 |
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