Big Ideas
- Multiplication and division are inverse operations.
- Multiplication and division can be modeled with arrays.
- Multiplication is commutative, but division is not.
- There are two common situations where division may be used.
- Partition (or fair-sharing) - given the total amount and the number of equal groups, determine how many/much in each group.
- Measurement (or repeated subtraction) - given the total amount and the amount in a group, determine how many groups of the same size can be created.
- Partition (or fair-sharing) - given the total amount and the number of equal groups, determine how many/much in each group.
- As the divisor increases, the quotient decreases; as the divisor decreases, the quotient increases.
- There is a relationship between the divisor, the dividend, the quotient, and any remainder.
- The associative property of multiplication can be used to simplify computation.
- The distributive property of multiplication allows us to find partial products and then find their sum.