In this Grade 5 Eureka Math lesson from Chapter 8, students learn to write and interpret numerical expressions using parentheses, translating word phrases like "3 times the sum of 26 and 4" into expressions such as 3 × (26 + 4) and modeling them with tape diagrams. Students practice the distributive property by decomposing factors and build estimation skills by rounding multi-digit numbers to find reasonable products. The lesson connects verbal descriptions, symbolic notation, and visual models to deepen understanding of how grouping and order of operations affect the value of an expression.
Section 1
Writing Expressions from Verbal Phrases
To translate verbal phrases that group quantities, use parentheses . Phrases like "the sum of..." or "the difference between..." that are then multiplied or divided require parentheses to ensure the addition or subtraction is performed first. For example, "the sum of and , times " is written as .
Section 2
Applying the Order of Operations
To evaluate numerical expressions, apply the order of operations:
Expand to review the lesson summary and core properties.
Section 1
Writing Expressions from Verbal Phrases
To translate verbal phrases that group quantities, use parentheses . Phrases like "the sum of..." or "the difference between..." that are then multiplied or divided require parentheses to ensure the addition or subtraction is performed first. For example, "the sum of and , times " is written as .
Section 2
Applying the Order of Operations
To evaluate numerical expressions, apply the order of operations: