Learn on PengienVision, Mathematics, Grade 5Chapter 3: Fluently Multiply Multi-Digit Whole Numbers

Lesson 8: Solve Word Problems Using Multiplication

In this Grade 5 enVision Mathematics lesson from Chapter 3, students learn to solve multi-step word problems involving multiplication by drawing bar diagrams, defining variables, and writing equations. The lesson covers real-world scenarios such as comparing quantities using "times as many" language and finding unknown products with multi-digit whole numbers. Students also practice using estimation to check whether their answers are reasonable.

Section 1

Using a Bar Diagram to Model Multiplication

Property

A tape diagram models multiplication by showing a total broken into equal groups. The relationship is:

Number of groups×Size of each group=Total \text{Number of groups} \times \text{Size of each group} = \text{Total}

Examples

Section 2

Understanding Multiplication in Word Problems

Property

To solve a word problem using multiplication, identify the number of equal groups and the size of each group.
The total amount can be found using the equation:

Total=(Number of groups)×(Size of each group)Total = (\text{Number of groups}) \times (\text{Size of each group})

Examples

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Using a Bar Diagram to Model Multiplication

Property

A tape diagram models multiplication by showing a total broken into equal groups. The relationship is:

Number of groups×Size of each group=Total \text{Number of groups} \times \text{Size of each group} = \text{Total}

Examples

Section 2

Understanding Multiplication in Word Problems

Property

To solve a word problem using multiplication, identify the number of equal groups and the size of each group.
The total amount can be found using the equation:

Total=(Number of groups)×(Size of each group)Total = (\text{Number of groups}) \times (\text{Size of each group})

Examples