UPSKILL MATH PLUS

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Methodical 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.

Question Bank for Teachers

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