PUMPA - THE SMART LEARNING APP

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### 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. |