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Methodical recommendation:

Theory

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

Questions for Teacher Use

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

Tests

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

Periodic assessments

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