Learn on PengiEureka Math, Grade 4Chapter 12: Multiplication Word Problems

Lesson 1: Solve two-step word problems, including multiplicative comparison.

Grade 4 students practice solving two-step word problems involving multiplicative comparison in this Eureka Math lesson from Chapter 12. Using the Read-Draw-Write approach, students work through real-world scenarios requiring them to find a product and then apply that result in a second calculation, such as multiplying a unit cost before scaling up or using a multiplicative comparison before adding or subtracting. The lesson builds on prior multi-digit multiplication skills to help students set up and solve multi-step problems with tape diagrams and equations.

Section 1

Model and Solve Two-Step Multiplicative Comparison Problems

Property

To solve a two-step word problem involving multiplicative comparison, first draw and label a tape diagram to model the relationship between the quantities. Then, write an equation with a variable for the unknown value and solve it. The structure often involves finding a larger quantity through multiplication and then performing a second step of addition or subtraction: Total=(n×base amount)±other amountTotal = (n \times \text{base amount}) \pm \text{other amount}.

Examples

Section 2

Create a Word Problem from a Tape Diagram

Property

To create a word problem from a tape diagram, translate the visual components into a story. Identify the known quantity (the value of one unit), the relationship between quantities (how many times larger one bar is than another), and the unknown value (the question mark). Use multiplicative comparison language like 'times as many' to describe the relationship and form a question based on the unknown.

Examples

Book overview

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Chapter 12: Multiplication Word Problems

  1. Lesson 1Current

    Lesson 1: Solve two-step word problems, including multiplicative comparison.

  2. Lesson 2

    Lesson 2: Use multiplication, addition, or subtraction to solve multi-step word problems.

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Model and Solve Two-Step Multiplicative Comparison Problems

Property

To solve a two-step word problem involving multiplicative comparison, first draw and label a tape diagram to model the relationship between the quantities. Then, write an equation with a variable for the unknown value and solve it. The structure often involves finding a larger quantity through multiplication and then performing a second step of addition or subtraction: Total=(n×base amount)±other amountTotal = (n \times \text{base amount}) \pm \text{other amount}.

Examples

Section 2

Create a Word Problem from a Tape Diagram

Property

To create a word problem from a tape diagram, translate the visual components into a story. Identify the known quantity (the value of one unit), the relationship between quantities (how many times larger one bar is than another), and the unknown value (the question mark). Use multiplicative comparison language like 'times as many' to describe the relationship and form a question based on the unknown.

Examples

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 12: Multiplication Word Problems

  1. Lesson 1Current

    Lesson 1: Solve two-step word problems, including multiplicative comparison.

  2. Lesson 2

    Lesson 2: Use multiplication, addition, or subtraction to solve multi-step word problems.