MAFS.2.G.1.3Archived Standard

Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc., and describe the whole as two halves, three thirds, four fourths. Recognize that equal shares of identical wholes need not have the same shape.
General Information
Subject Area: Mathematics
Grade: 2
Domain-Subdomain: Geometry
Cluster: Level 1: Recall
Cluster: Reason with shapes and their attributes. (Additional 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

Related Courses

This benchmark is part of these courses.
5012040: Mathematics - Grade Two (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7712030: Access Mathematics Grade 2 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
5001030: Art - Grade 2 (Specifically in versions: 2014 - 2015, 2015 - 2019, 2019 - 2022, 2022 and beyond (current))
7701030: Access Art Grade 2 (Specifically in versions: 2018 - 2019, 2019 and beyond (current))
5012005: Foundational Skills in Mathematics K-2 (Specifically in versions: 2019 - 2022, 2022 and beyond (current))

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.

Related Resources

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

Formative Assessments

Different Halves:

Students consider if two different shaped halves of the same rectangle represent equal shares.

Type: Formative Assessment

Different Fourths:

Students consider if two different shaped fourths of the same rectangle represent equal shares.

Type: Formative Assessment

How Many Fourths Are in a Whole?:

Students partition a rectangle into four equal parts and consider what fraction represents the whole.

Type: Formative Assessment

Halves, Thirds, and Fourths:

Students partition three different circles into two, three, and four equal parts and consider what fraction each part represents.

Type: Formative Assessment

Lesson Plans

Equal Shares: I Care:

Students will understand the concept of halves, thirds and fourths through the exploration of circles, squares and rectangles. Students will recognize that a half of a circle may not look like a half of a square or a rectangle. Also, students will demonstrate that halves, thirds and fourths of different sizes of circles, squares and rectangles will not look the same.

Type: Lesson Plan

Halves and Wholes:

In this lesson students will gain a foundation for fractions by partitioning shapes into equal shares.

Type: Lesson Plan

Thirds:

In this lesson, students will gain experience partitioning rectangles, and circles into equal shares of halves, thirds, and fourths.

Type: Lesson Plan

Fraction Action:

In this lesson students will begin to recognize how to partition circles and rectangles equally into halves, thirds, and fourths. The students will be introduced to the concept using a video and literature, delve deeper into their own understanding by dividing pastries, and conclude the lesson with a game played with a partner.

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 - Second Grade:

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

Type: Lesson Study Resource Kit

Original Student Tutorials

Partitioning Cakes: Thirds:

It's time for cake! Learn to partition cakes into thirds in this interactive student tutorial. 

Type: Original Student Tutorial

Partitioning Pizzas: Halves:

Learn to partition circular and rectangular pizzas into halves in this interactive tutorial. 

Type: Original Student Tutorial

Partitioning Circular Pies: Fourths:

It's time for pie! Learn to partition circular pies into fourths in this interactive student tutorial. 

Type: Original Student Tutorial

Partitioning Rectangular Pies: Fourths:

It's Thanksgiving and time for pie! Learn to partition rectangular pies into fourths in this interactive student tutorial.

Type: Original Student Tutorial

Problem-Solving Tasks

Which Pictures Represent One Half?:

The purpose of this task is for students to see different ways of partitioning a figure into two or more equal shares, by which we mean decomposing the figure into "pieces" with equal area.

Type: Problem-Solving Task

Representing Half of a Rectangle:

This task is for assessment purposes, providing a context for indentifying different ways of representing half of an object, a rectangle in this case. The task may also be used for instructional purposes but if so the teacher may wish to introduce some other ways of showing one half of the rectangle, such as dividing along a diagonal (and shading in one piece) or dividing it into four equal pieces, shading in two pieces that only touch at a corner.

Type: Problem-Solving Task

MFAS Formative Assessments

Different Fourths:

Students consider if two different shaped fourths of the same rectangle represent equal shares.

Different Halves:

Students consider if two different shaped halves of the same rectangle represent equal shares.

Halves, Thirds, and Fourths:

Students partition three different circles into two, three, and four equal parts and consider what fraction each part represents.

How Many Fourths Are in a Whole?:

Students partition a rectangle into four equal parts and consider what fraction represents the whole.

Original Student Tutorials Mathematics - Grades K-5

Partitioning Cakes: Thirds:

It's time for cake! Learn to partition cakes into thirds in this interactive student tutorial. 

Partitioning Circular Pies: Fourths:

It's time for pie! Learn to partition circular pies into fourths in this interactive student tutorial. 

Partitioning Pizzas: Halves:

Learn to partition circular and rectangular pizzas into halves in this interactive tutorial. 

Partitioning Rectangular Pies: Fourths:

It's Thanksgiving and time for pie! Learn to partition rectangular pies into fourths in this interactive student tutorial.

Student Resources

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

Original Student Tutorials

Partitioning Cakes: Thirds:

It's time for cake! Learn to partition cakes into thirds in this interactive student tutorial. 

Type: Original Student Tutorial

Partitioning Pizzas: Halves:

Learn to partition circular and rectangular pizzas into halves in this interactive tutorial. 

Type: Original Student Tutorial

Partitioning Circular Pies: Fourths:

It's time for pie! Learn to partition circular pies into fourths in this interactive student tutorial. 

Type: Original Student Tutorial

Partitioning Rectangular Pies: Fourths:

It's Thanksgiving and time for pie! Learn to partition rectangular pies into fourths in this interactive student tutorial.

Type: Original Student Tutorial

Problem-Solving Tasks

Which Pictures Represent One Half?:

The purpose of this task is for students to see different ways of partitioning a figure into two or more equal shares, by which we mean decomposing the figure into "pieces" with equal area.

Type: Problem-Solving Task

Representing Half of a Rectangle:

This task is for assessment purposes, providing a context for indentifying different ways of representing half of an object, a rectangle in this case. The task may also be used for instructional purposes but if so the teacher may wish to introduce some other ways of showing one half of the rectangle, such as dividing along a diagonal (and shading in one piece) or dividing it into four equal pieces, shading in two pieces that only touch at a corner.

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

Which Pictures Represent One Half?:

The purpose of this task is for students to see different ways of partitioning a figure into two or more equal shares, by which we mean decomposing the figure into "pieces" with equal area.

Type: Problem-Solving Task

Representing Half of a Rectangle:

This task is for assessment purposes, providing a context for indentifying different ways of representing half of an object, a rectangle in this case. The task may also be used for instructional purposes but if so the teacher may wish to introduce some other ways of showing one half of the rectangle, such as dividing along a diagonal (and shading in one piece) or dividing it into four equal pieces, shading in two pieces that only touch at a corner.

Type: Problem-Solving Task