UPSKILL MATH PLUS
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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. |
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