PUMPA - THE SMART LEARNING APP

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### Theory

Number | Name | Description |
---|---|---|

1. | Concept of proportion | Learn the concept of proportion. |

2. | Proportionality law | Understand the concept of proportionality law. |

3. | Unitary method | Introduction to unitary method. |

4. | Application of ratios | Theory about applications of ratios. |

### Exercises

Number | Name | Type | Difficulty | Points | Description |
---|---|---|---|---|---|

1. | Check the points are in proportion | 1st type - receptive | easy | 3 m. | Practice a problem on checking whether the given points are in proportion. |

2. | Fill in the unknown box | 1st type - receptive | easy | 3 m. | Apply the concept of proportionality law and fill in the box given. |

3. | Say true or false | 1st type - receptive | easy | 3 m. | Check whether the given two ratios are in proportion. |

4. | Determine the cost | 1st type - receptive | easy | 3 m. | Use the concept of unitary method and determine the required cost. |

5. | Fill in the boxes | 2nd type - interpretation | medium | 4 m. | Practice a problem on proportionality law. |

6. | Test whether true or false | 2nd type - interpretation | medium | 4 m. | Apply the concept of proportionality law and check the ratios are in proportion. |

7. | Find the distance travelled | 2nd type - interpretation | medium | 3 m. | Try solving the problem on distance with the help of unitary method. |

8. | Calculate the unknown value | 2nd type - interpretation | medium | 4 m. | Practice a problem on proportionality law and find the unknown value. |

9. | Determine the expected distance travelled | 2nd type - interpretation | medium | 4 m. | Use unitary method to find the distance travelled. |

10. | Calculate the required number | 3rd type - analysis | hard | 5 m. | Practice a problem on finding number of objects purchased using unitary method and find the unknown quantity of ratios. |

11. | Verify the proportionality and hence find means and extremes | 3rd type - analysis | hard | 5 m. | Apply the proportionality law and hence determine its means and extremes. |

12. | Determine the number of objects coloured | 3rd type - analysis | hard | 5 m. | Apply the concept of unitary method to get the required value. |

13. | Calculate the cost and quantity of the product | 3rd type - analysis | hard | 5 m. | Practice a problem on finding cost and quantity with the help of unitary method. |

### Exercises for teacher use

Number | Name | Type | Difficulty | Points | Description |
---|---|---|---|---|---|

1. | Determine the ratio of the provided scenario | Other | medium | 5 m. | Demonstrate the ratio between two required cases. |

2. | Find the cost of toys | Other | easy | 3 m. | Use the concept of unitary method and find the required solution. |

3. | Select a suitable choice | Other | easy | 3 m. | It is required to find suitable person by applying the concept of unitary method. |

4. | Calculate the number of foods ordered by certain persons | Other | medium | 3 m. | Using unitary method calculate the number of foods ordered by certain persons. |

5. | Calculate the number using the given numbers | Other | medium | 3 m. | Find the number of food items needed for children by using unitary method. |

6. | Determine the required number | Other | hard | 5 m. | Use the concept of proportion and determine the required number of people. |

### Tests

Number | Name | Recomended time: | Difficulty | Points | Description |
---|---|---|---|---|---|

1. | Training test | 00:00:00 | medium | 8 m. | |

2. | Training test | 00:15:00 | medium | 10 m. |

### Question Bank for Teachers

Number | Name | Recomended time: | Difficulty | Points | Description |
---|---|---|---|---|---|

1. | Homework | 00:20:00 | medium | 17 m. | |

2. | Homework | 00:20:00 | medium | 11 m. | |

3. | Progress test | 00:20:00 | medium | 11 m. | |

4. | Progress test | 00:20:00 | medium | 12 m. |