In this Grade 4 Eureka Math lesson from Chapter 13, students learn to solve division problems with remainders using both the array model and the area model. They practice interpreting the quotient and remainder in real-world contexts, such as determining how many scrapbook pages are needed when photos are divided evenly with leftovers. The lesson builds fluency with expressions like 16 ÷ 3 = 5 R1 and connects division number sentences to visual representations on grid paper.
Section 1
Representing Division with Remainders Using an Array Model
To model division with a remainder using an array, arrange the total number of items (the dividend) into equal rows or columns based on the divisor. The number of complete rows or columns is the quotient, and the items left over are the remainder. The relationship is:
Section 2
Representing Division with an Area Model
In an area model for division, the dividend is the total area, the divisor is a known side length, the quotient is the other side length, and the remainder consists of leftover units that do not form a complete rectangle. This is represented by the equation:
Section 3
Interpreting Remainders in Word Problems
The final answer to a division word problem depends on the context of the question. After calculating the quotient and remainder, the answer may be:
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Section 1
Representing Division with Remainders Using an Array Model
To model division with a remainder using an array, arrange the total number of items (the dividend) into equal rows or columns based on the divisor. The number of complete rows or columns is the quotient, and the items left over are the remainder. The relationship is:
Section 2
Representing Division with an Area Model
In an area model for division, the dividend is the total area, the divisor is a known side length, the quotient is the other side length, and the remainder consists of leftover units that do not form a complete rectangle. This is represented by the equation:
Section 3
Interpreting Remainders in Word Problems
The final answer to a division word problem depends on the context of the question. After calculating the quotient and remainder, the answer may be:
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter