Grade 4 students learn to solve division problems without remainders using the area model, breaking apart a two-digit dividend into smaller parts that are easier to divide. In this Eureka Math lesson, students decompose dividends like 48 and 96 into tens and ones, use number bonds alongside partitioned rectangles to find unknown side lengths, and combine partial quotients to reach the full answer. The lesson builds on students' understanding of the distributive property and connects multiplication and division concepts introduced earlier in Chapter 13.
Section 1
Set Up the Area Model for Division
A division problem can be visualized as finding the unknown length of a rectangle. The dividend represents the total area, the divisor represents the known width, and the quotient represents the unknown length.
Section 2
Combining Parts: The Distributive Property in Division
The total quotient is the sum of the partial quotients.
If a dividend is decomposed into parts, such as , the total quotient for is the sum of the partial quotients from and .
Expand to review the lesson summary and core properties.
Section 1
Set Up the Area Model for Division
A division problem can be visualized as finding the unknown length of a rectangle. The dividend represents the total area, the divisor represents the known width, and the quotient represents the unknown length.
Section 2
Combining Parts: The Distributive Property in Division
The total quotient is the sum of the partial quotients.
If a dividend is decomposed into parts, such as , the total quotient for is the sum of the partial quotients from and .