Modeling Division with Arrays
Modeling Division with Arrays is a Grade 3 math skill from Eureka Math using arrays to show division as finding an unknown factor in multiplication. An array's total (rows × columns) can be used to find either the number of rows or the number of columns when one is unknown. The equation: Total = (Number of Groups) × (Size per Group). If you know the total and the size per group, the array helps you count how many rows (groups) fit. This visual model connects multiplication and division as two perspectives on the same array.
Key Concepts
An array represents a total amount as a product of the number of groups (rows) and the size of each group (items per row). This visually connects division to finding an unknown factor in multiplication. $$ \text{Total} = (\text{Number of Groups}) \times (\text{Size of Each Group}) $$.
Common Questions
How does an array model division?
An array shows a total organized into equal rows (groups) and columns (items per group). Division asks for an unknown row or column count, which you can read directly from the array.
How would you use an array to solve 18 ÷ 3?
Arrange 18 objects into rows of 3. Count the rows. There are 6 rows, so 18 ÷ 3 = 6.
What multiplication equation is related to any division shown by an array?
If the array shows rows × columns = total, then: Total ÷ rows = columns and Total ÷ columns = rows. Each division fact pairs with a multiplication fact.
What does each dimension of a division array represent?
One dimension is the divisor (known group size). The other dimension is the quotient (unknown). The area of the full array is the dividend (total).
In which textbook is Modeling Division with Arrays taught?
This skill is taught in Eureka Math, Grade 3.