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## Methodical recommendation:

### 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.