UPSKILL MATH PLUS

Learn Mathematics through our AI based learning portal with the support of our Academic Experts!

Learn more## Methodical recommendation:

### Theory

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

1. | Median of a triangle | Let's learn the definition of median and its construction. |

2. | Application of median of a triangle | Here comes an example to visualize the median concept. |

### Exercises

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

1. | Complete the median definition | 1st type - receptive | easy | 1♦ | Select the correct choice based on definition of median. |

2. | Apply median definition | 1st type - receptive | easy | 4♦ | Complete the sentence with the help of median definition. |

3. | Determine part of a side length of a triangle | 1st type - receptive | easy | 3♦ | Calculate part of the side length of the triangle if side length is known. |

4. | Evaluate side length if the part of a side is given | 2nd type - interpretation | medium | 3♦ | Calculate side length of the triangle if a part of the side is known. Solve the problem with the help of median concept. |

5. | Calculate two parts of the given triangle | 2nd type - interpretation | medium | 4♦ | Calculate the lengths of two parts of a triangle with the help of given expression. Try solving it by median concept. |

6. | Find the half of the side of a triangle using its median | 3rd type - analysis | medium | 4♦ | Calculate half of the side of a triangle with the help of median value. |

7. | Estimate the perimeter of an equilateral triangle | 3rd type - analysis | hard | 4♦ | Calculate perimeter of an equilateral triangle if half of side length is given. |

8. | Calculate median of the triangle if part of a side is given | 3rd type - analysis | hard | 5♦ | Calculate the median using the part of a side of the triangle by applying the concept of median. |

9. | Determine the required side length of the triangle using the given expressions | 3rd type - analysis | hard | 5♦ | Calculate the required side length of the triangle using the expressions of two parts. Apply the concept of median to solve the problem. |

### Exercises for teacher use

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

1. | Creative work for constructing medians of acute angle triangle | Other | medium | 5♦ | Construct the acute angle triangle and find the three medians with the help of given information. |

2. | Creative work for constructing medians of right angle triangle | Other | medium | 5♦ | Construct the right angle triangle and find the three medians with the help of given information. |

3. | Creative work for constructing medians of obtuse angle triangle | Other | medium | 5♦ | Construct the obtuse angle triangle and find the three medians with the help of given information. |

4. | Find the side length of triangle given its median | Other | easy | 3♦ | Calculate the side length of the triangle with the help of given median. |

5. | Calculate the hypotenuse of the triangle using the information given | Other | easy | 3♦ | Calculate the hypotenuse length if the part of it is known and solve it by the concept of median. |

6. | Determine the two required parts of the triangle using the given measures | Other | medium | 4♦ | Calculate the two parts of a triangle with the help of two other parts of the triangle. Apply the concept of median to solve the problem. |

7. | Determine side length of the triangle given its median | Other | medium | 4♦ | Calculate the side length the triangle with the help of its median value. |

8. | Find half the side length of an equilateral triangle | Other | hard | 5♦ | Calculate half the side length oF an equilateral triangle if perimeter is given. |

9. | Find the unknown value from the given expressions | Other | hard | 5♦ | Calculate the unknown value from the given expressions by applying the concept of median. |

### Tests

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

1. | Training Test | 00:15:00 | medium | 8♦ |

### Question Bank for Teachers

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

1. | Home work | 00:20:00 | medium | 16♦ | |

2. | Homework | 00:20:00 | hard | 17♦ | |

3. | Progress Test | 00:20:00 | hard | 16♦ | |

4. | Progress Test | 00:20:00 | hard | 15♦ |