MA.5.FR.1.1

Given a mathematical or real-world problem, represent the division of two whole numbers as a fraction.

Examples

At Shawn’s birthday party, a two-gallon container of lemonade is shared equally among 20 friends. Each friend will have begin mathsize 12px style 2 over 20 end style of a gallon of lemonade which is equivalent to one-tenth of a gallon which is a little more than 12 ounces.

Clarifications

Clarification 1: Instruction includes making a connection between fractions and division by understanding that fractions can also represent division of a numerator by a denominator.

Clarification 2: Within this benchmark, the expectation is not to simplify or use lowest terms. 

Clarification 3: Fractions can include fractions greater than one.

General Information
Subject Area: Mathematics (B.E.S.T.)
Grade: 5
Strand: Fractions
Date Adopted or Revised: 08/20
Status: State Board Approved

Related Courses

This benchmark is part of these courses.
5012070: Grade Five Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7712060: Access Mathematics Grade 5 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
5012065: Grade 4 Accelerated Mathematics (Specifically in versions: 2019 - 2022, 2022 and beyond (current))
5012015: Foundational Skills in Mathematics 3-5 (Specifically in versions: 2019 - 2022, 2022 and beyond (current))

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.
MA.5.FR.1.AP.1: Explore the connection between fractions and division in a real-world problem.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

Formative Assessments

Two Thirds:

Students are asked to interpret a fraction and write a word problem to match the context of the fraction.

Type: Formative Assessment

Five Thirds:

Students are asked to interpret an improper fraction and then write a word problem to match the context of the fraction.

Type: Formative Assessment

Sharing Brownies:

Students are asked to draw a visual fraction model to solve a division word problem.

Type: Formative Assessment

Sharing Pizzas:

Students are asked to draw a visual fraction model to solve a division word problem.

Type: Formative Assessment

Lesson Plans

Fraction Frenzy! (Division/Fractional Word Problems):

Students will draw models to solve real-life word problems and show the relationship between division and fractions. This is not an introductory lesson to this standard.  By the end of this lesson, they should be able to create their own word problems and explain if the answer will be a mixed number or a fraction less than one.

Type: Lesson Plan

Sharing Fairly:

The students will connect fractions with division. They will solve word problems involving the division of whole numbers by using the strategy of drawing a model and/or equations with a fraction or mixed number for the answer. Next they will write word problems with a story context that represent problems involving division of whole numbers that lead to a fraction or mixed number answer.

Type: Lesson Plan

Picture This! Fractions as Division:

In this lesson the student will apply and extend previous understandings of division to represent division as a fraction. This includes representations and word problems where the answer is a fraction.

Type: Lesson Plan

Original Student Tutorials

Bee A Coder Part 1: Declare Variables:

Learn how to define, declare and initialize variables as you start the journey to "bee" a coder in this interactive tutorial. Variables are structures used by computer programs to store information.  You'll use your math skills to represent a fraction as a decimal to be stored in a variable.

This is part 1 of a 4-part series on coding. Click below to open the other tutorials in the series.

 

Type: Original Student Tutorial

#InterpretAFractionAsDivision:

Learn to identify a fraction as division of the numerator by the denominator using fraction models in this interactive tutorial.  

Type: Original Student Tutorial

Problem-Solving Tasks

How Much Pie?:

The purpose of this task is to help students see the connection between a÷b and a/b in a particular concrete example.  This task is probably best suited for instruction or formative assessment.

Type: Problem-Solving Task

Converting Fractions of a Unit into a Smaller Unit:

The purpose of this task is to help students gain a better understanding of fractions and the conversion of fractions into smaller units.

Type: Problem-Solving Task

MFAS Formative Assessments

Five Thirds:

Students are asked to interpret an improper fraction and then write a word problem to match the context of the fraction.

Sharing Brownies:

Students are asked to draw a visual fraction model to solve a division word problem.

Sharing Pizzas:

Students are asked to draw a visual fraction model to solve a division word problem.

Two Thirds:

Students are asked to interpret a fraction and write a word problem to match the context of the fraction.

Original Student Tutorials Mathematics - Grades K-5

#InterpretAFractionAsDivision:

Learn to identify a fraction as division of the numerator by the denominator using fraction models in this interactive tutorial.  

Computer Science Original Student Tutorials

Bee A Coder Part 1: Declare Variables:

Learn how to define, declare and initialize variables as you start the journey to "bee" a coder in this interactive tutorial. Variables are structures used by computer programs to store information.  You'll use your math skills to represent a fraction as a decimal to be stored in a variable.

This is part 1 of a 4-part series on coding. Click below to open the other tutorials in the series.

 

Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

Original Student Tutorials

Bee A Coder Part 1: Declare Variables:

Learn how to define, declare and initialize variables as you start the journey to "bee" a coder in this interactive tutorial. Variables are structures used by computer programs to store information.  You'll use your math skills to represent a fraction as a decimal to be stored in a variable.

This is part 1 of a 4-part series on coding. Click below to open the other tutorials in the series.

 

Type: Original Student Tutorial

#InterpretAFractionAsDivision:

Learn to identify a fraction as division of the numerator by the denominator using fraction models in this interactive tutorial.  

Type: Original Student Tutorial

Problem-Solving Tasks

How Much Pie?:

The purpose of this task is to help students see the connection between a÷b and a/b in a particular concrete example.  This task is probably best suited for instruction or formative assessment.

Type: Problem-Solving Task

Converting Fractions of a Unit into a Smaller Unit:

The purpose of this task is to help students gain a better understanding of fractions and the conversion of fractions into smaller units.

Type: Problem-Solving Task

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.

Problem-Solving Tasks

How Much Pie?:

The purpose of this task is to help students see the connection between a÷b and a/b in a particular concrete example.  This task is probably best suited for instruction or formative assessment.

Type: Problem-Solving Task

Converting Fractions of a Unit into a Smaller Unit:

The purpose of this task is to help students gain a better understanding of fractions and the conversion of fractions into smaller units.

Type: Problem-Solving Task