Standard #: MA.3.FR.1.1


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Represent and interpret unit fractions in the form 1/n as the quantity formed by one part when a whole is partitioned into n equal parts.


Examples


begin mathsize 11px style 1 fourth end style can be represented as begin mathsize 12px style 1 fourth end style of a pie (parts of a shape), as 1 out of 4 trees (parts of a set) or as begin mathsize 12px style 1 fourth end style on the number line.

Clarifications


Clarification 1: This benchmark emphasizes conceptual understanding through the use of manipulatives or visual models. 
Clarification 2: Instruction focuses on representing a unit fraction as part of a whole, part of a set, a point on a number line, a visual model or in fractional notation.

Clarification 3: Denominators are limited to 2, 3, 4, 5, 6, 8, 10 and 12.



Related Courses

Course Number1111 Course Title222
5012050: Grade Three Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7712040: Access Mathematics Grade 3 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
5012055: Grade 3 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

Access Point Number Access Point Title
MA.3.FR.1.AP.1 Explore unit fractions in the form 1/n as the quantity formed by one part when a whole is partitioned into n equal parts. Denominators are limited to 2, 3 and 4.


Related Resources

Educational Game

Name Description
Flower Power: An Ordering of Rational Numbers Game


This is a fun and interactive game that helps students practice ordering rational numbers, including decimals, fractions, and percents. You are planting and harvesting flowers for cash. Allow the bee to pollinate, and you can multiply your crops and cash rewards!

Formative Assessments

Name Description
Unit Fractions

Students divide a hexagon into two, three, and six equal parts and write the unit fraction representing each part.

Two Equal Parts

Students divide figures into two parts, each having the same area, and write the unit fraction representing each part.

Which Shows One Third?

Students are shown three circles and asked to select the one that correctly shows one third shaded and explain why the other two do not.

What Does One Fifth Mean?

Students are shown the fraction one fifth and asked to describe what it means.

Halves of an Irregular Polygon

Students partition an irregular hexagon into two equal parts and describe each part using a unit fraction.

Four Parts of the Whole

Students partition a rectangle into four equal parts and describe each part using a fraction.

Image/Photograph

Name Description
Clipart ETC Fractions

Illustrations that can be used for teaching and demonstrating fractions. Fractional representations are modeled in wedges of circles ("pieces of pie") and parts of polygons. There are also clipart images of numerical fractions, both proper and improper, from halves to twelfths. Fraction charts and fraction strips found in this collection can be used as manipulatives and are ready to print for classroom use.

Lesson Plans

Name Description
Mystery Strips - Fractional Parts of the Whole

This problem-solving lesson has students working together in groups to discover that fractions are made up of equal parts of one-whole. In this lesson, students are exposed to equivalent fractions as well as challenged to work beyond unit fractions to discover the fractional part of one-whole that the "mystery strips" represent. This highly engaging lesson takes into account all levels of learners and will challenge even your most advanced students.

Fraction Action!

This lesson will help students understand that fractions are parts of a whole. The lesson introduces fractional parts using familiar manipulatives.

Discovering Fractions

In this lesson students will make initial discoveries about fractions. Students will work together to explain and record the discoveries they make while using manipulatives to explore fractions.

Fractions Meet Pattern Blocks

Students will identify the fractional parts of a whole using pattern blocks.

Symmetrical Solutions

Students will use paper cutout and geoboards to find and create lines of symmetry. Students will have the opportunity to work with a partner and independently.

Fraction Folding - Part 2

Students will use foldables to create and name fractions. Students will sing a song to learn the terms numerator and denominator. Students will identify how many unit fractions compose a fraction.

Original Student Tutorials

Name Description
Finding Fractions at Camp: Fractions on a Number Line

Joey learns about the location of unit fractions on a number line while at camp in this interactive tutorial.

Sharing With Fractions

Learn to name or identify fractions, especially unit fractions, and justify the fractional value using an area model in this pizza-themed, interactive tutorial.

Problem-Solving Task

Name Description
Money in the piggy bank

This task is designed to help students focus on the whole that a fraction refers. It provides a context where there are two natural ways to view the coins.  While the intent is to deepen a student's understanding of fractions, it does go outside the requirements of the standard. 

Virtual Manipulatives

Name Description
Build a Fraction


This virtual manipulative will help the students to build fractions from shapes and numbers to earn stars in this fraction lab. To challenge the children there are multiple levels, where they can earn lots of stars.
Some of the sample learning goals can be:

  • Build equivalent fractions using numbers and pictures.
  • Compare fractions using numbers and patterns
  • Recognize equivalent simplified and unsimplified fractions
Fraction Game

This virtual manipulative allows individual students to work with fraction relationships. (There is also a link to a two-player version.)

Student Resources

Original Student Tutorials

Name Description
Finding Fractions at Camp: Fractions on a Number Line:

Joey learns about the location of unit fractions on a number line while at camp in this interactive tutorial.

Sharing With Fractions:

Learn to name or identify fractions, especially unit fractions, and justify the fractional value using an area model in this pizza-themed, interactive tutorial.

Educational Game

Name Description
Flower Power: An Ordering of Rational Numbers Game:


This is a fun and interactive game that helps students practice ordering rational numbers, including decimals, fractions, and percents. You are planting and harvesting flowers for cash. Allow the bee to pollinate, and you can multiply your crops and cash rewards!

Problem-Solving Task

Name Description
Money in the piggy bank:

This task is designed to help students focus on the whole that a fraction refers. It provides a context where there are two natural ways to view the coins.  While the intent is to deepen a student's understanding of fractions, it does go outside the requirements of the standard. 

Virtual Manipulatives

Name Description
Build a Fraction:


This virtual manipulative will help the students to build fractions from shapes and numbers to earn stars in this fraction lab. To challenge the children there are multiple levels, where they can earn lots of stars.
Some of the sample learning goals can be:

  • Build equivalent fractions using numbers and pictures.
  • Compare fractions using numbers and patterns
  • Recognize equivalent simplified and unsimplified fractions
Fraction Game:

This virtual manipulative allows individual students to work with fraction relationships. (There is also a link to a two-player version.)



Parent Resources

Image/Photograph

Name Description
Clipart ETC Fractions:

Illustrations that can be used for teaching and demonstrating fractions. Fractional representations are modeled in wedges of circles ("pieces of pie") and parts of polygons. There are also clipart images of numerical fractions, both proper and improper, from halves to twelfths. Fraction charts and fraction strips found in this collection can be used as manipulatives and are ready to print for classroom use.

Problem-Solving Task

Name Description
Money in the piggy bank:

This task is designed to help students focus on the whole that a fraction refers. It provides a context where there are two natural ways to view the coins.  While the intent is to deepen a student's understanding of fractions, it does go outside the requirements of the standard. 

Virtual Manipulative

Name Description
Build a Fraction:


This virtual manipulative will help the students to build fractions from shapes and numbers to earn stars in this fraction lab. To challenge the children there are multiple levels, where they can earn lots of stars.
Some of the sample learning goals can be:

  • Build equivalent fractions using numbers and pictures.
  • Compare fractions using numbers and patterns
  • Recognize equivalent simplified and unsimplified fractions


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