MAFS.3.G.1.2

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.
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
Assessed: Yes
Test Item Specifications
    Assessed with:
    MAFS.3.NF.1.1

Sample Test Items (1)
  • Test Item #: Sample Item 1
  • Question:

    A triangle representing one whole is shown.

    Complete the sentences to make true statements about the triangle. For each blank, fill in the circle before the word or phrase that is correct.

    The parts of the triangle have A. equal areas since they are A. the same size.

       B. unequal       B. different sizes.

     

    The area of each part is A. one-fourth.

       B. unknown.

  • Difficulty: N/A
  • Type: ETC: Editing Task Choice

Related Courses

This benchmark is part of these courses.
5012050: Grade Three Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
7712040: Access Mathematics Grade 3 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 and beyond (current))
5001040: Art – Intermediate 1 (Specifically in versions: 2014 - 2015, 2015 - 2019, 2019 - 2022 (current), 2022 and beyond)
5020100: STEM Lab Grade 3 (Specifically in versions: 2016 - 2022 (current), 2022 and beyond)
7701035: Access Art Grade 3 (Specifically in versions: 2018 - 2019, 2019 and beyond (current))
5012055: Grade 3 Accelerated Mathematics (Specifically in versions: 2019 - 2022 (current), 2022 and beyond)
5012015: Foundational Skills in Mathematics 3-5 (Specifically in versions: 2019 - 2022 (current), 2022 and beyond)

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.
MAFS.3.G.1.AP.2a: Partition a rectangle into equal parts with equal area.

Related Resources

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

Assessments

Sample 4 - Third Grade Math State Interim Assessment:

This is a State Interim Assessment for third grade.

Type: Assessment

Sample 3 - Third Grade Math State Interim Assessment:

This is a State Interim Assessment for third grade.

Type: Assessment

Sample 2 - Third Grade Math State Interim Assessment:

This is a State Interim Assessment for third grade.

Type: Assessment

Sample 1 - Third Grade Math State Interim Assessment:

This is a State Interim Assessment for third grade.

Type: Assessment

Formative Assessments

Unit Fractions:

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

Type: Formative Assessment

Two Equal Parts:

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

Type: Formative Assessment

Halves of an Irregular Polygon:

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

Type: Formative Assessment

Four Parts of the Whole:

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

Type: Formative Assessment

Lesson Plans

Area Architects, Lesson 1:

In this unit on area, students explore geometric measurement by becoming "Area Architects" in order to learn the concepts of area. Using all five lessons will allow the students to discover, explore and eventually relate area to multiplication and addition. This lesson is the introductory lesson of the unit. In Lesson 1, students will develop strategies for finding area by counting square units. Students will learn the importance of accurately measuring area by exploring the concepts of area in realistic applications.

Type: Lesson Plan

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.

Type: Lesson Plan

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.

Type: Lesson Plan

Fractions Meet Pattern Blocks:

Students will use pattern blocks to write fractions.

Type: Lesson Plan

Fraction Counting Book:

Students will make a book of fractions in which they choose a denominator and count up to a whole and greater than a whole. They will represent the fractions as pictures, in number form, word form, and on a number line.

Type: Lesson Plan

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 begin to identify equivalent fractions.

Type: Lesson Plan

Fraction Folding-Part 1:

In this lesson, students will build base knowledge of fractions as parts of a whole. They will differentiate examples and non-examples of fractions. They will label unit fractions.

Type: Lesson Plan

Lesson Study Resource Kit

Geometry Lesson Study Resource Kit – Third Grade:

This lesson study resource kit can be used to guide and support teams of third grade teachers as they engage in lesson study focused on the Florida Standards in the Geometry domain.

Type: Lesson Study Resource Kit

Presentation/Slideshows

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.

Type: Presentation/Slideshow

Introducing Fractions Slideshow- Flowering Fractions:

This online resource is a story of a girl and her father planting flowers that your children and you interact with. Help them fill in the fractions as they practice dividing the garden up for their flowers!

Type: Presentation/Slideshow

Problem-Solving Tasks

Representing Half of a Circle:

This task continues "3.G 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 in the sense described in 3.G.7.d.

Type: Problem-Solving Task

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 in the sense described in 3.G.7.d.

Type: Problem-Solving Task

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

Type: Virtual Manipulative

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.

Type: Virtual Manipulative

Frank and Fran's Fabulous Fractions:

This online slideshow is another way to introduce parts of a whole to your class.

This lesson could be presented to the whole class or completed by students independently.

Type: Virtual Manipulative

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.

Student Resources

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

Presentation/Slideshows

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.

Type: Presentation/Slideshow

Introducing Fractions Slideshow- Flowering Fractions:

This online resource is a story of a girl and her father planting flowers that your children and you interact with. Help them fill in the fractions as they practice dividing the garden up for their flowers!

Type: Presentation/Slideshow

Problem-Solving Tasks

Representing Half of a Circle:

This task continues "3.G 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 in the sense described in 3.G.7.d.

Type: Problem-Solving Task

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 in the sense described in 3.G.7.d.

Type: Problem-Solving Task

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

Type: Virtual Manipulative

Frank and Fran's Fabulous Fractions:

This online slideshow is another way to introduce parts of a whole to your class.

This lesson could be presented to the whole class or completed by students independently.

Type: Virtual Manipulative

Parent Resources

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

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.

Type: Presentation/Slideshow

Problem-Solving Tasks

Representing Half of a Circle:

This task continues "3.G 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 in the sense described in 3.G.7.d.

Type: Problem-Solving Task

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 in the sense described in 3.G.7.d.

Type: Problem-Solving Task

Virtual Manipulative

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

Type: Virtual Manipulative