In this Grade 5 Eureka Math lesson from Chapter 22, students learn to write, compare, and evaluate numerical expressions with parentheses, including expressions that represent fractions of a set and unit conversions. Students practice interpreting tape diagrams to build expressions and apply the order of operations to find their values. The lesson connects fraction multiplication with real-world word problems to reinforce conceptual understanding.
Section 1
Writing Multi-Step Expressions from Verbal Phrases
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.
Section 2
Evaluating Expressions with Parentheses
To evaluate an expression with parentheses, always perform the operation(s) inside the parentheses first. Then, perform any remaining operations in the expression.
Section 3
Comparing Expressions Using Reasoning
To compare expressions without calculating, identify the parts that are identical in both expressions. Then, reason about the parts that are different to determine which expression is larger. For positive numbers where :
Expand to review the lesson summary and core properties.
Section 1
Writing Multi-Step Expressions from Verbal Phrases
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.
Section 2
Evaluating Expressions with Parentheses
To evaluate an expression with parentheses, always perform the operation(s) inside the parentheses first. Then, perform any remaining operations in the expression.
Section 3
Comparing Expressions Using Reasoning
To compare expressions without calculating, identify the parts that are identical in both expressions. Then, reason about the parts that are different to determine which expression is larger. For positive numbers where :