Mathematics Grade 3 15 min

Relate multiplication and division for arrays

Relate multiplication and division for arrays

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Introduction & Learning Objectives

Learning Objectives Identify the number of rows, columns, and the total number of objects in an array. Write a multiplication equation that represents a given array. Write two related division equations that represent a given array. Explain the relationship between the numbers in a multiplication and division fact family. Use an array to find the unknown number in a multiplication or division equation. Draw an array to model a given multiplication or division problem. Have you ever seen cookies arranged perfectly on a baking sheet or chairs set up for a school play? 🍪 That's an array! In this lesson, we will explore how these neat rows and columns, called arrays, can help us see a super-secret connection between multiplication and division. Understanding this connecti...
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Key Concepts & Vocabulary

TermDefinitionExample ArrayAn arrangement of objects, pictures, or numbers in equal rows and columns.A grid of 6 stars with 2 rows and 3 columns is an array. ⭐⭐⭐ ⭐⭐⭐ RowA horizontal line of objects in an array that goes from side-to-side.In the array ⭐⭐⭐ ⭐⭐⭐, the top line of 3 stars is one row. ColumnA vertical line of objects in an array that goes up and down.In the array ⭐⭐⭐ ⭐⭐⭐, the first line of 2 stars going up and down is one column. MultiplicationA way to find the total number of objects when you have equal groups. It's like fast adding!For an array with 2 rows of 3 stars, you can multiply 2 x 3 to get a total of 6 stars. DivisionThe process of splitting a total into equal groups to find out how many are in each group or how many groups you can make.If you ha...
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Core Formulas

Multiplication Rule for Arrays Rows × Columns = Total To find the total number of items in any array, multiply the number of rows by the number of columns. Division Rule 1 for Arrays Total ÷ Rows = Columns If you know the total and the number of rows, you can divide to find the number of items in each column. Division Rule 2 for Arrays Total ÷ Columns = Rows If you know the total and the number of columns, you can divide to find the number of rows.

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Sample Practice Questions

Challenging
An array shows 4 x 8 = 32. If you rearrange the same 32 items into a new array with only 2 rows, what new division fact have you shown?
A.32 ÷ 8 = 4
B.32 ÷ 2 = 16
C.32 ÷ 1 = 32
D.16 ÷ 2 = 8
Challenging
An array has a total of 30 squares. The number of rows is 1 more than the number of columns. Which division sentence is related to this array?
A.30 ÷ 6 = 5
B.30 ÷ 10 = 3
C.30 ÷ 5 = 6
D.30 ÷ 3 = 10
Challenging
Which fact family could NOT be shown by an array with 24 total items?
A.4, 6, 24
B.3, 8, 24
C.2, 12, 24
D.5, 4, 20

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