## Methodical recommendation:

### Theory

Number Name Description
1. Introduction to rational numbers Learn the concept of rational numbers with an example.
2. Closure property Learn the closure property of whole number, integer, rational number.
3. Commutative property Learn the commutative property of whole number, integer, rational number.
4. Associativity property Learn the associativity property of whole, integer, rational numbers.
5. The role of 0 and 1 Learn the additive and multiplication identity of rational numbers.

### Exercises

Number Name Type Difficulty Points Description
1. Find the right property of rational number 1st type - receptive easy 3 Practice the associative, closure and commutative of rational numbers.
2. Find the additive identity for rationals 1st type - receptive easy 2 Practice the additive identity of rational numbers.
3. Determine the multiplicative identity for rationals 1st type - receptive easy 2 Practice the multiplication identity of rational numbers.
4. Find the closure property 2nd type - interpretation medium 4 Practice the closure property of multiplication and addition of rational numbers.
5. Determine the commutative property 2nd type - interpretation medium 4 Practice both the addition and multiplication of commutative property.
6. Evaluate the associative property 2nd type - interpretation medium 4 Practice the associative property of addition and multiplication of rational numbers.
7. Estimate the closure property of multiplication 3rd type - analysis hard 2 Practice the closure property of multiplication of rational numbers.
8. Determine the commutative property of multiplication 3rd type - analysis hard 2 Practice the commutative property of multiplication of rational numbers.
9. Evaluate the associative property of multiplication 3rd type - analysis hard 2 Practice the associative property of multiplication of rational numbers.

### Exercises for teacher use

Number Name Type Difficulty Points Description
1. Find the closure property Other medium 4 Practice the closure property of multiplication and subtraction of rational numbers.
2. Find the associative property of addition Other medium 2 Practice the associative property of addition of rational numbers.
3. Evaluate the commutative property of addition Other medium 2 Practice both the addition of commutative property.
4. Determine the right idenity of rational numbers Other medium 6 Practice the additive and multiplicative identity of rational numbers.
5. Find the other rational number Other medium 2 Practice the sum of rational number if one number is given to find the other rational number.
6. Determine the non zero rational number Other medium 2 Practice the division property of rational number as non zero.

### Tests

Number Name Recomended time: Difficulty Points Description
1. Training test 00:15:00 medium 6

### Test for teacher use

Number Name Recomended time: Difficulty Points Description
1. Home work 00:20:00 hard 5
2. Home work 00:20:00 medium 3
3. Progressive test 00:20:00 hard 4
4. Progress test 00:20:00 hard 6