Learn on PengiPengi Math (Grade 4)Chapter 3: Understanding Multiplication and Division

Lesson 5: Multi-Step Word Problems

In this Grade 4 Pengi Math lesson, students learn to break down multi-step word problems by identifying the correct sequence of operations, including multiplicative comparison and division with remainders. Students represent problems using equations with a letter for the unknown quantity and apply diagrams and estimation strategies to plan and justify their answers. This lesson is part of Chapter 3: Understanding Multiplication and Division.

Section 1

Deconstructing Word Problems to Sequence Operations

Property

Deconstruct a multi-step word problem by first identifying the final question and then finding the "hidden question" that must be answered first. Use a model, like a tape diagram, to visualize the relationship between the parts and determine the correct sequence of operations to solve the problem.

Examples

Section 2

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

Book overview

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Chapter 3: Understanding Multiplication and Division

  1. Lesson 1

    Lesson 1: Understanding Multiplication and Division as Equal Groups

  2. Lesson 2

    Lesson 2: Multiplicative Comparison

  3. Lesson 3

    Lesson 3: Estimation and Reasonableness in Operations

  4. Lesson 4

    Lesson 4: Interpreting Remainders

  5. Lesson 5Current

    Lesson 5: Multi-Step Word Problems

Lesson overview

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Section 1

Deconstructing Word Problems to Sequence Operations

Property

Deconstruct a multi-step word problem by first identifying the final question and then finding the "hidden question" that must be answered first. Use a model, like a tape diagram, to visualize the relationship between the parts and determine the correct sequence of operations to solve the problem.

Examples

Section 2

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

Book overview

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

Continue this chapter

Chapter 3: Understanding Multiplication and Division

  1. Lesson 1

    Lesson 1: Understanding Multiplication and Division as Equal Groups

  2. Lesson 2

    Lesson 2: Multiplicative Comparison

  3. Lesson 3

    Lesson 3: Estimation and Reasonableness in Operations

  4. Lesson 4

    Lesson 4: Interpreting Remainders

  5. Lesson 5Current

    Lesson 5: Multi-Step Word Problems