# Word Problems (Grade 3)

Videos and lessons to help Grade 3 students learn to use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.

Common Core: 3.OA.3

### Suggested Learning Target

• I can determine when to multiply and divide in word problems.
• I can represent multiplication and division word problems using drawings, and equations with unknowns in all positions.

Related Topics:
More Lessons for Grade 3

Common Core for Grade 3

Unknown Product
Equal Groups
- There are 3 bags with 6 plums in each bag. How many plums are there in all?
Equal Groups (Measurement) - You need 3 lengths of string, each 6 inches long. How much string will you need altogether?
Array - There are 3 rows of apples with 6 apples in each row. How many apples are there?
Area - What is the area of a 3 cm by 6 cm rectangle?
Compare - A blue hat costs \$6. A red hat costs 3 times as much as the blue hat. How much does the red hat cost?
Compare (Measurement) - A rubber band is 6 cm long. How long will the rubber band be when it is stretched to be 3 times as long?

3 × 6 = ?

Group Size Unknown
Equal Groups
- If 18 plums are shared equally into 3 bags, then how many plums will be in each bag?
Equal Groups (Measurement) - You have 18 inches of string, which you will cut into 3 equal pieces. How long will each piece of string be?
Array  If 18 apples are arranged into 3 equal rows, how many apples will be in each row?
Area - A rectangle has area 18 square centimeters. If one side is 3 cm long, how long is the side next to it?
Compare  A red hat costs \$18 and that is 3 times as much as a blue hat costs. How much does a blue hat cost?
Compare (Measurement)  A rubber band is stretched to be 18 cm long and that is 3 times as long as it was at first. How long was the rubber band at first?

3 × ? = 18
18 ÷ 3 = ?

Number of Groups Unknown
Equal Groups
- If 18 plums are packed 6 to a bag, then how many bags are needed?
Equal Groups (Measurement) - You have 18 inches of string, which you will cut into pieces that are 6 inches long. How many pieces of string will you have?
Array  If 18 apples are arranged in equal rows of 6 apples, how many rows will there be?
Area  A rectangle has area 18 square centimeters. If one side is 6 cm long, how long is the side next to it?
Compare - A red hat costs \$18 and a blue hat costs \$6. How many times as much does the red hat cost as the blue hat?
Compare (Measurement) - A rubber band was 6 cm long at first. Now it is stretched to be 18 cm long. How many times as long is the rubber band now as it was at first?

? × 6 = 18
18 ÷ 6 =

## Multiplication Word Problems

Understand multiplication problems using equal groups
In this lesson, you will write multiplication expressions to represent illustrations by counting the equal groups and objects in each group.
Example: Which multiplication expression represents the total number of windows in the houses on this block?

Solve multiplication problems using arrays (2) - 3.OA.3
In this lesson, you will learn how to solve multiplication problems by creating an array.
Example: Principal Anthony is setting up for an assembly. He knows that 30 students will be attending. He sets up 4 rows of chairs with 9 chairs in each row. Are there enough chairs for the 30 students?

Understand multiplication problems by representing them as areas.
In this lesson, you will learn that all products can be represented as an area by using a multiplication table.

Multiplication with Bar Models
The second graders collect 65 books for the book drive. They put some of the books in boxes and have 25 books left to pack. The third graders have four times as many books in boxes. There are none left to pack. How many books did the third graders collect?

## Division Word Problems

Solve division problems by subtracting equal groups
In this lessson, you will learn how to solve division problems by subtracting equal groups
Example: Cadel rides his bike 132 miles. He rides 12 miles in 1 hour. How many hours wull it take him to ride 132 miles?

Find a missing quotient in a division problem
In this lesson, you will learn how to find the missing quotient in a division problem by creating an array.
Example: Ms. George is taking a class picture. She has 16 students in her class and has to put them into rows. How many students will be in each row?

Division Findng the Number in Each Group
Use Singapore Math Bar Model Drawing for division when you are finding the number in each group.
Example: Victor opened a bag of pretzels and counted 56, He gave each of seven friends an equal number of pretzels. How many pretzels did each friend receive?

## Multiplication & Division

Solve multiplication and division problems using a diagram
In this lesson, you will learn how to solve comparison (measurement) multiplication or division problems by drawing a diagram.
Aaron has 3 deck of cards. Each deck has 52 cards. How many cards does he have in all?

Solve word problems with multiplication and division
In this lesson, you will learn how to solve comparison (measurement) multiplication or division problems by drawing a diagram.
In July, a construction company built 360 miles of road. In Feruary, the same company laid down 60 miles of road. How many more miles of road did the company complete in July?

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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