 PUMPA - THE SMART LEARNING APP

Helps you to prepare for any school test or exam

## 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.

### Exercises

Number Name Type Difficulty Points Description
1. Simplify the expression 1st type - receptive easy 10 m. Practise to simplify the expression using the given identity.
2. Expand the expression 1st type - receptive easy 9 m. Practise to expand the given expression using suitable identity.
3. Choose the correct answer 1st type - receptive easy 8 m. Practise to simplify the expression using the suitable identity.
4. Shorten the expression 1st type - receptive easy 3 m. Practise to simplify the given expression using suitable identity.
5. Select the correct answer 1st type - receptive easy 8 m. Practise to expand the given expressions using the suitable identities.
6. Reduce the given expression 1st type - receptive medium 6 m. Practise to simplify the expression using the given identity.
7. Calculate the product 1st type - receptive medium 6 m. Practise to calculate the product of two numbers using the suitable identity in a simpler way.
8. Find the square of the number 1st type - receptive medium 2 m. Practise to find the square of the number using the given identity.
9. Evaluate the square of the number 1st type - receptive medium 2 m. Practise to calculate the square of the given number using the given identity.
10. Find the area of the rectangular pathway 2nd type - interpretation 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 2nd type - interpretation 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 2nd type - interpretation hard 4 m. Practise to determine the area of the square-shaped table using the identities if the side of a square is given.

### Exercises for teacher use

Number Name Type Difficulty Points Description
1. Expand the expression using the identity Other easy 10 m. Apply the given identity and expand the expression.
2. Stretch the expression using the identity Other easy 10 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.

### Tests

Number Name Recomended time: Difficulty Points Description
1. Training test 00:15:00 easy 11 m.
2. Training test 00:20:00 easy 10 m.
3. Training test 00:15:00 medium 7 m.

### Question Bank for Teachers

Number Name Recomended time: Difficulty Points Description
1. Homework 00:15:00 medium 8 m.
2. Progress test 00:15:00 medium 11 m.