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Methodical recommendation:

Theory

Number Name Description
1. Introduction to identities Learn about various algebraic identities.
2. Geometrical approach to multiplication of monomials Learn about various algebraic identities.
3. Geometrical proof of the identity - I Learn about the geometrical proof of identity - I.
4. Geometrical proof of identity - II Learn about the geometrical proof of identity - II
5. Geometrical proof of identity - III Learn about the geometrical proof of identity - III.
6. Geometrical proof of identity - IV Learn about the geometrical proof of identity - IV.

Textbook Questions

Number Name Type Difficulty Marks Description
1. One mark exercise problems I Other easy 2 m. Select the suitable choice for the given questions.
2. One mark exercise problems II Other easy 2 m. Check your understanding skills in the concept of identities.
3. One mark exercise problems III Other easy 3 m. Check whether the given statement is correct or not.
4. Two mark example problems I Other medium 4 m. Apply the identity and simplify the expression.
5. Two mark example problems II Other medium 6 m. Apply the identity and simplify the expression.
6. Two mark exercise problems I Other medium 4 m. Practice the problem to apply the identity and find the required.
7. Two mark exercise problems II Other medium 4 m. Practice the problem to apply the identity and find the required.
8. Two mark exercise problems III Other medium 4 m. Apply the identity and simplify the expression.
9. Two mark exercise problems IV Other medium 4 m. Apply the identity and simplify the expression.
10. Two mark exercise problems V Other medium 4 m. Try to apply the identity and simplify the expression.
11. Two mark exercise problems VI Other medium 4 m. Try to apply the identity and simplify the expression.
12. Two mark exercise problems VII Other medium 6 m. Apply the identity and simplify the expression.
13. Two mark exercise problems VIII Other medium 6 m. Apply the identity and simplify the expression.
14. Two mark exercise problems IX Other medium 6 m. Try to answer the given questions.
15. Two mark exercise problems X Other medium 0 m. Try to prove the given expressions.
16. Two mark exercise problems XI Other medium 6 m. Apply the identity and find the required.
17. Two mark exercise problems XII Other medium 6 m. Simplify the given expressions using the identities.
18. Two mark exercise problems XIII Other medium 6 m. Try to answer the given questions.
19. Four mark example problems I Other hard 8 m. Try to simplify the given expression geometrically.
20. Four mark example problems II Other hard 8 m. Try to simplify the given expression geometrically.
21. Four mark exercise problem I Other hard 4 m. Apply the identities in real life situtations.
22. Four mark exercise problem II Other hard 4 m. Apply the identities in real life situtations.

Practice Questions

Number Name Type Difficulty Marks Description
1. Simplify the expression Other easy 4 m. Practise to simplify the expression using the given identity.
2. Expand the expression Other easy 2 m. Practise to expand the given expression using suitable identity.
3. Choose the correct answer Other easy 4 m. Practise to simplify the expression using the suitable identity.
4. Shorten the expression Other easy 3 m. Practise to simplify the given expression using suitable identity.
5. Select the correct answer Other easy 4 m. Practise to expand the given expressions using the suitable identities.
6. Reduce the given expression Other medium 4 m. Practise to simplify the expression using the given identity.
7. Calculate the product Other medium 4 m. Practise to calculate the product of two numbers using the suitable identity in a simpler way.
8. Find the square of the number Other medium 2 m. Practise to find the square of the number using the given identity.
9. Evaluate the square of the number Other medium 2 m. Practise to calculate the square of the given number using the given identity.
10. Find the area of the rectangular pathway Other hard 3 m. Calculate the area of the rectangle using a suitable identity if length and breadth are given.
11. Determine the area of the square shaped poster Other hard 4 m. Practise to determine the area of square-shaped poster using the identities if the side of a square is given.
12. Determine the area of the square shaped table Other hard 4 m. Practise to determine the area of the square-shaped table using the identities if the side of a square is given.

Key Questions for School Exam Preparation

Number Name Type Difficulty Marks Description
1. Simplify the expression Other medium 2 m. Try to answer the given question.
2. Simplify using identities Other medium 2 m. Simplify the given expressions using the identities.
3. Evaluate Other hard 4 m. Try to simplify the given expression geometrically.

Questions for Teacher Use

Number Name Type Difficulty Marks Description
1. Expand the expression using the identity Other easy 4 m. Apply the given identity and expand the expression.
2. Stretch the expression using the identity Other easy 4 m. Apply the given identity and stretch the expression.
3. Find the area of the wall Other hard 4 m. Apply the suitable identity to determine the area of the wall.
4. Simplify the expression using the identity Other medium 1 m. Apply the identity and simplify the expression.
5. Expand the square using identities Other medium 1 m. Apply the identity and simplify the expression.

Periodic assessments

Number Name Recomended time: Difficulty Marks Description
1. Homework I 00:15:00 easy 8 m.
2. Homework II 00:15:00 easy 9 m.
3. Homework III 00:20:00 medium 12 m.
4. Homework IV 00:20:00 medium 12 m.
5. Homework V 00:25:00 medium 14 m.
6. Homework VI 00:25:00 medium 14 m.
7. Revision test I 00:25:00 medium 14 m.
8. Revision test II 00:25:00 medium 14 m.
9. Revision test III 00:30:00 hard 16 m.
10. Revision test IV 00:30:00 hard 16 m.
11. Revision test V 00:30:00 hard 16 m.
12. Revision test VI 00:30:00 hard 16 m.
13. Periodic Assessment 00:10:00 medium 4 m. PA3