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. Square identity of a trinomial To recall the square identities and to learn the expansion of a trinomial based on a square identity.
2. Cubic identities Learn about the cubic identities.
3. Some examples on cubic identities Learn to expand the cubic terms using identities.
4. Some deductions on cubic identities To learn the results on cubic identities based on standard identities.
5. Cubic identity for three variables To learn the cubic identity for three variables and to derive at a special case based on the cubic identity.

Practice Questions

Number Name Type Difficulty Marks Description
1. Use suitable identity to find the product 2nd type - interpretation easy 2 m. To find the product of the given factors using suitable square identity.
2. Factorise using appropriate identity 2nd type - interpretation easy 2 m. To factorise the given polynomial using appropriate square identity.
3. Expand using the identity 2nd type - interpretation easy 2 m. To expand the given expression with the help of identity.
4. Express the cube in expanded form 2nd type - interpretation easy 2 m. To expand the cubic expression with the help of identity.
5. Evaluate without direct multiplication 2nd type - interpretation easy 2.5 m. To execute the product value without directly multiplying it.
6. Factorise the given polynomial 2nd type - interpretation easy 2 m. Seek to use the required identity to execute factorisation.
7. Find the product 2nd type - interpretation medium 3 m. To find the product without direct multiplication using suitable identity.
8. Factorise the polynomial 2nd type - interpretation medium 3 m. Use appropriate identity to execute factorisation.
9. Expand the given polynomial 2nd type - interpretation medium 3 m. To expand the given polynomial using suitable identity.
10. Factorise the expression 2nd type - interpretation medium 3 m. To factorise the given cubic polynomial using suitable algebraic identity.
11. Evaluate the cubic number 2nd type - interpretation medium 3 m. Try practicing identities with the number stated.
12. Write in expanded form 2nd type - interpretation medium 3 m. To write the expanded form of the given cubic expression.
13. Find the product using appropriate identity 3rd type - analysis medium 3 m. To find the product of the given expression using the appropriate square identity.
14. Expand the square 2nd type - interpretation medium 3 m. To expand the given square using the square identity in three variables.
15. Find the possible dimensions of the cuboid 3rd type - analysis medium 3 m. To find the possible dimensions of the cuboid from the given volume.
16. Find the value of the product 3rd type - analysis hard 4 m. To find the product of the given numbers using the square identity.
17. Find the area using suitable identity 3rd type - analysis hard 4 m. Try practicing the equation using square identities.
18. Factorise the expression with proper identity 2nd type - interpretation hard 4 m. Use the correct identity to start performing the factorisation.
19. Find the dimensions 3rd type - analysis hard 4.5 m. To find the dimensions of the cuboid from the given expression.
20. Find the length and breadth 3rd type - analysis hard 4 m. To find the length and breadth of the rectangle from the given expression.
21. Expand the given factor using the identity 3rd type - analysis hard 4 m. Seek to use the identities to widen the factors.

Questions for Teacher Use

Number Name Type Difficulty Marks Description
1. Find the value of the cubic expression Other easy 2 m. Based on the cubic identity for three variables.
2. Write the cube in expanded form Other easy 3 m. Expand the cube by pursuing algebraic identity.
3. Enumerate the value Other medium 3 m. Problems based on some deductions in the cubic identities.
4. Enumerate the value of the given expression Other medium 3 m. Problems based on some deductions in the cubic identities.
5. Find the value! Other medium 3 m. To find the value of the given expression using suitable identity.
6. Evaluate Other hard 4 m. Based on the cubic identity of three variables.
7. Match the columns Other hard 4 m. To identify the algebraic identity used and to find the expansion for the given expression.
8. Activity! Other hard 4 m. Proof to derive the square identity for three variables.

Tests

Number Name Recomended time: Difficulty Marks Description
1. Training test 00:15:00 medium 10 m.
2. Training test 00:15:00 medium 10 m.

Periodic assessments

Number Name Recomended time: Difficulty Marks Description
1. Homework 00:20:00 hard 12.5 m.
2. Homework 00:20:00 hard 12.5 m.
3. Homework 00:20:00 hard 13 m.
4. Progress test 00:25:00 hard 17 m.
5. Progress test 00:25:00 hard 15 m.
6. Periodic Assessment 00:15:00 medium 20 m.