In this Grade 4 Eureka Math lesson from Chapter 15, students learn to connect the area model of division to the standard long division algorithm for three- and four-digit dividends. Using partitioned rectangles and number bonds, students break apart dividends like 672 and 1,344 by place value units before linking each step of the area model to its corresponding step in the long division process. This lesson builds conceptual understanding of why the long division algorithm works by grounding each step in a visual representation.
Section 1
Solve Division Using an Area Model
To solve a division problem using an area model, the dividend is partitioned into a sum of smaller, convenient numbers. The quotient is the sum of the partial quotients found by dividing each part of the dividend by the divisor.
Section 2
Relating the Area Model to the Long Division Algorithm
The steps of the long division algorithm directly correspond to the process of partitioning an area model for division. Each partial quotient found using the algorithm represents a partial length in the area model. The subtraction step in long division is equivalent to calculating the remaining area to be divided in the model.
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Section 1
Solve Division Using an Area Model
To solve a division problem using an area model, the dividend is partitioned into a sum of smaller, convenient numbers. The quotient is the sum of the partial quotients found by dividing each part of the dividend by the divisor.
Section 2
Relating the Area Model to the Long Division Algorithm
The steps of the long division algorithm directly correspond to the process of partitioning an area model for division. Each partial quotient found using the algorithm represents a partial length in the area model. The subtraction step in long division is equivalent to calculating the remaining area to be divided in the model.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter