PUMPA - SMART LEARNING

எங்கள் ஆசிரியர்களுடன் 1-ஆன்-1 ஆலோசனை நேரத்தைப் பெறுங்கள். டாப்பர் ஆவதற்கு நாங்கள் பயிற்சி அளிப்போம்

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Methodical recommendation:

Theory

Number Name Description
1. Introduction to 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. Introduction to centroid Let us get introduced to centroid formula.

Textbook Questions

Number Name Type Difficulty Marks Description
1. Multiple choice question I Other easy 2 m. Choose the correct answers using section formula.
2. Multiple choice question II Other easy 2 m. Choose the correct answer using section formula.
3. Multiple choice question III Other easy 1 m. Choose the correct answer using section formula.
4. Two marks example problems I Other medium 2 m. Determine the coordinates of the point which divides the line segment.
5. Two marks example problems II Other medium 2 m. Find the third vertex of the triangle using centroid formula.
6. Two marks exercise problems I Other medium 4 m. Find the point which divides the line segment and the ratio of the divided point.
7. Two marks exercise problems II Other medium 2 m. Determine the coordinates of the point P which divides the line segment.
8. Two marks exercise problems III Other medium 4 m. Find the centroid of the triangle using centroid formula.
9. Two marks exercise problems IV Other medium 2 m. Determine the centroid of the triangle using centroid formula.
10. Two marks exercise problems V Other medium 4 m. Find the length of the median and the third vertex of the triangle using centroid formula.
11. Two marks exercise problems VI Other medium 2 m. Find the value of the expression using centroid formula.
12. Five marks example problems III Other hard 10 m. Determine the coordinates of the point which divides the line segment and the ratio of point of division.
13. Five marks exercise problems VII Other hard 5 m. Obtain the coordinates of the new points which divides the line segment using section formula.
14. Five marks exercise problems VIII Other hard 0 m. Show the given points are collinear using section formula.
15. Five marks exercise problems IX Other hard 5 m. Find the missing coordinates of the point using section formula.
16. Five marks exercise problems X Other hard 5 m. Find the radius of the circle using section formula.
17. Five marks exercise porblems XI Other hard 5 m. Find the coordinates of the vertex of the parallelogram using centroid formula.
18. Five marks exercise problems XII Other hard 5 m. Obtain the centroid of the triangle when mid-points are given.

Practice Questions

Number Name Type Difficulty Marks Description
1. Find the coordinate 'P' Other easy 1 m. Use section formula to find the point that divides the line segment.
2. Find the centroid Other easy 2 m. Find the centroid of the circle using the given vertices.
3. Find the co-ordinates of 'B' Other medium 4 m. Use section formula to find the end point of the line segment.
4. Find the point by its extension Other medium 5 m. Use section formula to find the extended end point of the line segment.
5. Find the ratio Other medium 3 m. Find the ratio with which the line segment is internally divided.
6. Calculate the value of 'P' Other medium 4 m. Find the end point of the line segment using the fraction given.
7. Find the value of 'k' Other medium 3 m. Use centroid formula to find the unknown variable.
8. Find the vertex of 'C' Other medium 4 m. Use centroid formula to find the unknown vertex.
9. Evaluate the centroid of the triangle Other hard 6 m. Find the centroid of the triangle with the mid-point of the sides given.
10. Find the number of pots made Other hard 6 m. Use section formula to find the number of pots made.

Key Questions for School Exam Preparation

Number Name Type Difficulty Marks Description
1. Determine the ratio of the divided point Other hard 5 m. Determine the coordinates of the point which divides the line segment and the ratio of point of division.
2. Find the coordinates of the new end points Other hard 5 m. Obtain the coordinates of the new points which divides the line segment using section formula.
3. Determine the radius of the circle Other hard 5 m. Find the radius of the circle using section formula.
4. Find the coordinates of the point C Other hard 5 m. Find the missing coordinates of the point using section formula.

Questions for Teacher Use

Number Name Type Difficulty Marks Description
1. Find the point of intersection of the medians Other easy 2 m. Find the point of intersection of the triange using the vertices given.
2. Centroid formula derivation Other medium 4 m. Give the derivation of the centroid formula.
3. Find the number of sculptures made Other hard 6 m. Using section formula, find the number of sculptures made.
4. Answer the following Other hard 10 m. Using a triangle with the vertices of your choice, come up with the answers to the questions asked.
5. Section formula Other medium 1 m. Determine the coordinates of the point which divides the line segment.
6. Centroid of a triangle Other medium 1 m. Find the third vertex of the triangle using centroid formula.
7. Line segment in the ratio Other medium 1 m. Find the point which divides the line segment and the ratio of the divided point.
8. Vertices and centroid of a triangle Other medium 1 m. Find the centroid of the triangle using centroid formula.
9. Divided point Other medium 1 m. Find the point which divides the line segment and the ratio of the divided point.
10. Find the centroid Other easy 1 m. Find the centroid of the circle using the given vertices.
11. Vertex of the triangle Other medium 1 m. Find the third vertex of the triangle using centroid formula.
12. Find divided point Other medium 1 m. Determine the coordinates of the point which divides the line segment.
13. Find the unknown value using centroid formula Other medium 1 m. Use centroid formula to find the unknown variable.
14. Length of the median Other medium 1 m. Find the length of the median and the third vertex of the triangle using centroid formula.

Periodic assessments

Number Name Recomended time: Difficulty Marks Description
1. Homework I 00:15:00 medium 9 m.
2. Homework II 00:15:00 medium 8 m.
3. Homework III 00:15:00 medium 11 m.
4. Homework IV 00:20:00 medium 24 m.
5. Homework V 00:15:00 medium 10 m.
6. Homework VI 00:15:00 medium 11 m.
7. Revision test I 00:15:00 medium 17 m.
8. Revision test II 00:15:00 medium 13 m.
9. Revision test III 00:15:00 medium 14 m.
10. Revision test IV 00:15:00 medium 12 m.
11. Revision test V 00:15:00 medium 14 m.
12. Revision test VI 00:15:00 medium 12 m.
13. Periodic Assessment -1 00:10:00 medium 8 m. PA 1
14. Periodic Assessment -2 00:10:00 medium 6 m. PA 2
15. Bridge Course Demo 2 00:10:00 medium 2 m.
16. Periodic Assessment - Extended version 00:10:00 medium 4 m. PA 2
17. Periodic Assessment 2.0 00:10:00 medium 10 m. PA 2