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Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. For example, partition a shape into 4 parts with equal area, and describe the area of each part as 1/4 of the area of the shape.
Standard #: MAFS.3.G.1.2Archived Standard
Standard Information
General Information
Subject Area: Mathematics
Grade: 3
Domain-Subdomain: Geometry
Cluster: Level 1: Recall
Cluster: Reason with shapes and their attributes. (Supporting Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date Adopted or Revised: 02/14
Content Complexity Rating: Level 1: Recall - More Information
Date of Last Rating: 02/14
Status: State Board Approved - Archived
Assessed: Yes
Related Courses
Related Resources
Formative Assessments
  • 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.
  • 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.
Lesson Plans
  • Best Vegetable Garden # The students will plan a vegetable garden, deciding which kinds of vegetables to plant, how many plants of each kind will fit, and where each plant will be planted in a fixed-area garden design. Then they will revise their design based on new garden dimensions and additional plant options.  Students will explore the concept of area to plan their garden and they will practice solving 1 and 2-step real-world problems using the four operations to develop their ideas.Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.
  • 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.
  • 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. There is a focus on unit fractions.
  • Fraction Counting Book # Students will make a book of fractions by counting by a specified denominator. They will represent the fractions as pictures, in number form, word form, and on a number line.
  • 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.
  • Fraction Folding-Part 1 # In this lesson, students will build the understanding of unit fractions. They will differentiate examples and non-examples of fractional parts of squares. They will label unit fractions and describe unit fractions as those that “build” other fractions.
Presentation/Slideshow
  • Fractions # This is an accessible, easy-to-read book introducing fractions. It can be downloaded in PowerPoint, Impress, and Flash formats. For struggling or non-readers the book can be read aloud in a variety of voices. All of the books on the Tar Heel Reader site can be used with the Intellikeys keyboard with a custom overlay, a touch screen, and/or 1-3 switches. The text and background colors can be modified for students with visual impairments.
Problem-Solving Tasks
  • Representing Half of a Circle # This task continues "Which pictures represent half of a circle?" moving into more complex shapes where geometric arguments about cutting or work using simple equivalences of fractions is required to analyze the picture. In order for students to be successful with this task, they need to understand that area is additive.
  • Geometric pictures of one half # This task presents students with some creative geometric ways to represent the fraction one half. The goal is both to appeal to students' visual intuition while also providing a hands on activity to decide whether or not two areas are equal. In order for students to be successful with this task, they need to understand that area is additive.
Virtual Manipulatives
  • Exploring Fractions # Match shapes and numbers to earn stars in this fractions game.
    • Match fractions using numbers and pictures
    • make the same fractions using different numbers
    • Match fractions in different picture patterns
    • Compare fractions using numbers and patterns
  • Fraction Models # An interactive tool to represent a fraction circle, rectangle, or set model with numerators and denominators ranging from 1 to 100. The decimal and percent equivalents of the created fraction are also displayed.
STEM Lessons - Model Eliciting Activity
  • Best Vegetable Garden # The students will plan a vegetable garden, deciding which kinds of vegetables to plant, how many plants of each kind will fit, and where each plant will be planted in a fixed-area garden design. Then they will revise their design based on new garden dimensions and additional plant options.  Students will explore the concept of area to plan their garden and they will practice solving 1 and 2-step real-world problems using the four operations to develop their ideas.Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.
MFAS Formative Assessments
  • Four Parts of the Whole # Students partition a rectangle into four equal parts and describe each part using a fraction.
  • Halves of an Irregular Polygon # Students partition an irregular hexagon into two equal parts and describe each part using a unit fraction.
  • Two Equal Parts # Students divide figures into two parts, each having the same area, and write the unit fraction representing each part.
  • Unit Fractions # Students divide a hexagon into two, three, and six equal parts and write the unit fraction representing each part.
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