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

Lesson 2: Writing and Reading Numerical Expressions

In this Grade 5 Pengi Math lesson from Chapter 7, students learn to translate verbal phrases into numerical expressions by identifying keywords and using parentheses to show grouping. Students also practice reading numerical expressions aloud and expressing them accurately in words, building a precise understanding of mathematical language. The lesson develops critical thinking about how different wordings change the structure and meaning of an expression.

Section 1

Translating Grouping Phrases with Parentheses

Property

Verbal phrases like "the sum of," "the difference between," or "the product of" indicate that the operation and its numbers should be grouped together using parentheses. This group is treated as a single value within the larger expression.

Examples

Section 2

Writing Multi-Step Expressions from Verbal Phrases

Property

To write an expression from words or a diagram, identify the quantities and the operations (addition, subtraction, multiplication, division). Use parentheses ( ) to group parts of the expression that are calculated first, as described by the phrase.

Examples

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Translating Grouping Phrases with Parentheses

Property

Verbal phrases like "the sum of," "the difference between," or "the product of" indicate that the operation and its numbers should be grouped together using parentheses. This group is treated as a single value within the larger expression.

Examples

Section 2

Writing Multi-Step Expressions from Verbal Phrases

Property

To write an expression from words or a diagram, identify the quantities and the operations (addition, subtraction, multiplication, division). Use parentheses ( ) to group parts of the expression that are calculated first, as described by the phrase.

Examples