Learn on PengiPengi Math (Grade 5)Chapter 7: Numerical Expressions and Problem Solving

Lesson 3: Solving Word Problems with Expressions

In this Grade 5 Pengi Math lesson from Chapter 7, students learn to identify quantities and operations in real-world word problems and match them to appropriate numerical expressions. The lesson guides students through representing multi-step situations using expressions and modeling problems with tape diagrams. Students also develop reasoning skills by comparing expressions without calculating to deepen their understanding of numerical relationships.

Section 1

Application: Modeling Equations with Tape Diagrams

Property

A tape diagram models a word problem by representing a total quantity as a whole bar and its parts as sections of the bar.
The visual relationship between the parts and the whole helps determine the sequence of operations (addition, subtraction, multiplication, division) needed to find the unknown value, xx.

Examples

Section 2

Matching Expressions to Word Problems

Property

To match a numerical expression to a word problem, analyze the problem to identify the quantities and the sequence of mathematical operations. The correct expression will use numbers, operators, and parentheses to model the exact structure and order of events described in the problem.

Examples

Book overview

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Chapter 7: Numerical Expressions and Problem Solving

  1. Lesson 1

    Lesson 1: Order of Operations

  2. Lesson 2

    Lesson 2: Writing and Reading Numerical Expressions

  3. Lesson 3Current

    Lesson 3: Solving Word Problems with Expressions

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Application: Modeling Equations with Tape Diagrams

Property

A tape diagram models a word problem by representing a total quantity as a whole bar and its parts as sections of the bar.
The visual relationship between the parts and the whole helps determine the sequence of operations (addition, subtraction, multiplication, division) needed to find the unknown value, xx.

Examples

Section 2

Matching Expressions to Word Problems

Property

To match a numerical expression to a word problem, analyze the problem to identify the quantities and the sequence of mathematical operations. The correct expression will use numbers, operators, and parentheses to model the exact structure and order of events described in the problem.

Examples

Book overview

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

Continue this chapter

Chapter 7: Numerical Expressions and Problem Solving

  1. Lesson 1

    Lesson 1: Order of Operations

  2. Lesson 2

    Lesson 2: Writing and Reading Numerical Expressions

  3. Lesson 3Current

    Lesson 3: Solving Word Problems with Expressions