In this Grade 5 Eureka Math lesson from Chapter 22, students solve and create fraction word problems that require applying addition, subtraction, and multiplication of fractions in real-world contexts. Fluency activities build skills in converting customary measurements and multiplying fractions by whole numbers, such as finding 2/3 × 9 or 5/6 × 12, using tape diagrams to match expressions. Students also practice unit conversion with fractional quantities, connecting fraction operations to measurement contexts like 2/3 yard to feet and 3/4 gallon to quarts.
Section 1
Translate Tape Diagrams into Expressions
A tape diagram can be translated into a mathematical expression where the entire tape represents the whole (1 or a total value). Brackets identify parts of the whole or a remainder. These parts are represented using operations like multiplication (for a fraction 'of' an amount) and subtraction (to find a remainder).
Section 2
Create Word Problems from Expressions and Models
To create a word problem from an expression or model, you must translate the numbers and operations into a real-world story. Identify the whole, the parts, and the actions (adding, subtracting, or finding a fraction of a quantity), then write a question that asks for the final unknown value.
Expand to review the lesson summary and core properties.
Section 1
Translate Tape Diagrams into Expressions
A tape diagram can be translated into a mathematical expression where the entire tape represents the whole (1 or a total value). Brackets identify parts of the whole or a remainder. These parts are represented using operations like multiplication (for a fraction 'of' an amount) and subtraction (to find a remainder).
Section 2
Create Word Problems from Expressions and Models
To create a word problem from an expression or model, you must translate the numbers and operations into a real-world story. Identify the whole, the parts, and the actions (adding, subtracting, or finding a fraction of a quantity), then write a question that asks for the final unknown value.