## Methodical recommendation:

### Theory

Number Name Description
1. Introduction to proportions Learn the concept of variation and proportion.
2. Direct proportion Basic things about direct proportion.
3. Inverse proportion Basic things about inverse proportion.

### Exercises

Number Name Type Difficulty Points Description
1. Choose the correct answer 1st type - receptive easy 3 Choose the correct answer by choosing the option which is direct or inverse proportion.
2. Calculate the number items is required 1st type - receptive easy 2 Using Proportions calculate the number items is required for th e certain number of persons.
3. Find out how many workers will finish the work in certain period 1st type - receptive easy 2 Find out how many workers will finish the work in certain period if the number of workers and number of days are in inverse proportion.
4. Find the cost of the fruit 1st type - receptive easy 2 Check your understanding skills in the concept of direct proportion.
5. Determine the number of days the food will last 2nd type - interpretation medium 4 Determine the number of days the food will last for animal if number of animals and number of days are in inverse proportion.
6. Determine the require price of the product 2nd type - interpretation medium 4 Determine the require price of the product if quantity of product is given.
7. Calculate the time taken to cover certain kilometer 2nd type - interpretation medium 4 Calculate the time taken to cover certain kilometer by applying the concept of direct proportion.
8. Calculate the increase in speed of the vehicle 2nd type - interpretation medium 3 Check your understanding skills in the concept of inverse proportions.
9. Determine the number of crystal in sugar 2nd type - interpretation medium 4 Practice a problem to find the number of crystals in sugar using the concept of direct proportion.
10. Calculate the number of days that animal can graze the field 3rd type - analysis hard 5 If the number of animals and number of days are in inverese proportional we can calculate the require days to graze.
11. Find out which person bought the product costlier 3rd type - analysis hard 6 Using the concept of direct proportion, find the person who bought the costlier product.
12. Answer the questions 3rd type - analysis hard 6 Try to answer the given questions using the concept of inverse proportion.

### Exercises for teacher use

Number Name Type Difficulty Points Description
1. Pick up the right choice Other easy 3 Practice a problem to choose the correct answer from the given set of options.
2. Find out the unknown value Other medium 3 Find out the unknown value if the price and quantity of vegetable are in direct proportional.
3. Calculate the number of boxes bought by a person Other medium 3 Calculate the number of boxes bought by a person with same amount if the number of boxes and cost of the boxes are in inverse proportional.
4. Calculate the number of pipes need Other hard 5 If the number of pipes needed to fill the tanks and the time are in inverse proportional we can calculate the number of pipies needed for certain time.
5. Answer the questions Other hard 8 Check your understanding skills in the concept of proportions.

### Tests

Number Name Recomended time: Difficulty Points Description
1. Training test 00:15:00 easy 11
2. Training test 00:20:00 medium 9

### Test for teacher use

Number Name Recomended time: Difficulty Points Description
1. Homework 23:20:00 medium 12
2. Homework 00:20:00 hard 18
3. Progress test 00:20:00 hard 17