In this Grade 5 Eureka Math lesson from Chapter 26, students practice creating real-world story contexts for numerical expressions and tape diagrams involving operations with fractions, decimals, and whole numbers. They solve multi-step word problems using division of fractions, decimal division, and multiplicative comparisons, interpreting expressions such as one-third times a difference in dollars. The lesson builds fluency with equivalent expressions and reinforces strategies for drawing labeled diagrams to model and solve problems.
Section 1
Application: Modeling Equations with Tape Diagrams
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, .
Section 2
Creating Story Contexts for Numerical Expressions
To create a story context for a numerical expression, assign a real-world meaning to each number and operation. The order of operations, especially actions inside parentheses, must guide the sequence of events in the story.
Expand to review the lesson summary and core properties.
Section 1
Application: Modeling Equations with Tape Diagrams
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, .
Section 2
Creating Story Contexts for Numerical Expressions
To create a story context for a numerical expression, assign a real-world meaning to each number and operation. The order of operations, especially actions inside parentheses, must guide the sequence of events in the story.