Mathematics
Grade 3
15 min
Write division sentences for arrays
Write division sentences for arrays
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1
Introduction & Learning Objectives
Learning Objectives
Identify the total number of objects, the number of rows, and the number of items in each row of an array.
Explain how an array visually represents a division problem.
Write two different, correct division sentences for a given array.
Define the terms dividend, divisor, and quotient in the context of an array.
Use the division symbol (÷) and equals symbol (=) correctly to form a complete number sentence.
Create a simple array to model a given division sentence.
Imagine you have a tray of freshly baked cookies to share with your friends! 🍪 How can you be sure everyone gets an equal amount?
Arrays, which are pictures with neat rows and columns, can help us solve sharing problems. In this lesson, you will learn how to look at an array and write a special m...
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Key Concepts & Vocabulary
TermDefinitionExample
ArrayA set of objects arranged in equal rows and columns.A muffin tin with 3 rows of 4 muffins is an array.
DivisionThe process of splitting a total number into equal groups.Splitting 12 cookies among 3 friends is division.
Division SentenceA number sentence that shows division using the division (÷) and equals (=) symbols.12 ÷ 3 = 4
DividendThe total number of objects that you are dividing. It's the biggest number in the division sentence.In 12 ÷ 3 = 4, the dividend is 12.
DivisorThe number you are dividing by. In an array, this can be the number of rows or the number in each row.In 12 ÷ 3 = 4, the divisor is 3.
QuotientThe answer to a division problem.In 12 ÷ 3 = 4, the quotient is 4.
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Core Formulas
Division by Rows
\text{Total Objects} \div \text{Number of Rows} = \text{Number in Each Row}
Use this formula when you know the total and want to find out how many items are in each row. The number of rows is your divisor.
Division by Items per Row
\text{Total Objects} \div \text{Number in Each Row} = \text{Number of Rows}
Use this formula when you know the total and want to find out how many equal rows you can make. The number of items in each row is your divisor.
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Challenging
An array is described by a division sentence where the dividend is 56 and the quotient is 8. What is the divisor, and what is a correct division sentence for this array?
A.The divisor is 8; 56 ÷ 8 = 7
B.The divisor is 7; 56 ÷ 8 = 7
C.The divisor is 8; 56 ÷ 7 = 8
D.The divisor is 7; 56 ÷ 7 = 8
Challenging
An array shows 30 ÷ 5 = 6. If you keep the total of 30 items but rearrange them into an array with only 3 rows, what happens to the number of items in each row (the quotient)?
A.It increases from 6 to 10.
B.It decreases from 6 to 3.
C.It stays the same at 6.
D.It increases from 5 to 10.
Challenging
An array has more than 30 items but fewer than 40. When arranged in rows of 6, there are 6 items in each row. Which division sentence describes this array?
A.30 ÷ 6 = 5
B.36 ÷ 6 = 6
C.42 ÷ 6 = 7
D.35 ÷ 5 = 7
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