 UPSKILL MATH PLUS

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## 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