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Methodical recommendation:

Theory

Number Name Description
1. Section formula Let us get introduced to section formula.
2. Section formula using graphical representation Let us know how section formula is formed through graphical representation.
3. Some example problem based on section formula Learn how to use section formula for a line segment.

Practice Questions

Number Name Type Difficulty Marks Description
1. Find the coordinate 'P' 2nd type - interpretation easy 3 m. Use section formula to find the point that divides the line segment.
2. Determine the ratio of the line segment 2nd type - interpretation easy 3 m. Practice problem to find the ratio of the line segment.
3. Find the point bisects the line segment 2nd type - interpretation easy 3 m. Practice problem to find the point that bisects the line segment.
4. Find the location of the point 2nd type - interpretation easy 3 m. In this exercise, find the location of point using section formula.
5. Find the ratio 2nd type - interpretation easy 3 m. Find the ratio with which the line segment is internally divided.
6. Find the points of trisection of the line segment 2nd type - interpretation medium 4 m. In this exercise, find the points of trisection of the line segment.
7. Find the fourth vertex of a parallelogram 3rd type - analysis medium 4 m. Find the fourth vertex of a parallelogram by using section formula.
8. Find the point 'A' and radius of the circle 3rd type - analysis medium 4 m. Work on the problem to find the point 'A' and radius of the circle.
9. Find the coordinates of 'P' and "Q' 3rd type - analysis medium 4 m. Use section formula to find the coordinates of 'P' and "Q'.
10. Find the ratio and the point of division 2nd type - interpretation medium 4 m. In this exercise, find the ratio and the point of division of the line segment.
11. Calculate the value of 'P' 2nd type - interpretation medium 4 m. Find the end point of the line segment using the fraction given.
12. Find the length of the median of the triangle 3rd type - analysis medium 4 m. Work on the problem to find the length of the median of the triangle.
13. Obtain the value of 'b' for the collinear points 3rd type - analysis medium 4 m. Practice problem to find the value of 'b' if the points are collinear.
14. Choose the correct statement: Section formula 3rd type - analysis medium 4 m. In this exercise, select the correct statement for the given assertion and reason.
15. Find the point by its extension 2nd type - interpretation medium 4 m. Use section formula to find the extended end point of the line segment.
16. Determine the value of the given variables 3rd type - analysis hard 5 m. In this exercise, determine the value of the unknown variables by using section formula.
17. Find the number of pots made 3rd type - analysis hard 5 m. Use section formula to find the number of pots made.
18. Find the value of the variables and area of the rectangle 3rd type - analysis hard 6 m. Work on the problem to find the value of the variables and area of the rectangle.
19. Case study: Section formula 3rd type - analysis hard 5 m. Understand the situation and answer the given questions.
20. Determine the ratio and the missing coordinate 3rd type - analysis hard 5 m. Work on the problem to find the ratio and the missing coordinate of the point of division.

Questions for Teacher Use

Number Name Type Difficulty Marks Description
1. Find the coordinates of point of division Other easy 3 m. In this exercise, find the coordinates of point of that divides the line segment.
2. Find the co-ordinates of 'B' Other medium 4 m. Use section formula to find the end point of the line segment.
3. Find the ratio of the line segment divided by y-axis Other medium 4 m. Work on the problem to find the ratio of the line segment divided by y-axis.
4. Find the mid point of the side of the triangle Other medium 4 m. In this exercise, find the mid point of the side of the triangle using section formula.
5. Show the statement analytically Other medium 4 m. In this exercise, show the statement analytically and upload your work.
6. Prove the statement using section formula Other hard 5 m. In this exercise, prove the given statement and upload your work.
7. Find the number of sculptures made Other hard 5 m. Using section formula, find the number of sculptures made.
8. Evaluate the centroid of the triangle Other hard 6 m. Find the centroid of the triangle with the mid-point of the sides given.

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.
3. Training test III 00:15:00 medium 11 m.

Periodic assessments

Number Name Recomended time: Difficulty Marks Description
1. Homework I 00:20:00 medium 12 m.
2. Homework II 00:25:00 medium 13 m.
3. Homework III 00:25:00 hard 19 m.
4. Progress test I 00:25:00 medium 13 m.
5. Progress test II 00:25:00 medium 14 m.
6. Progress test III 00:25:00 hard 14 m.