MAFS.1.G.1.3Archived Standard

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Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares.
General Information
Subject Area: Mathematics
Grade: 1
Domain-Subdomain: Geometry
Cluster: Level 2: Basic Application of Skills & Concepts
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 2: Basic Application of Skills & Concepts - More Information
Date of Last Rating: 02/14
Status: State Board Approved - Archived

Related Courses

This benchmark is part of these courses.
5012030: Grade One Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current))
7712020: Access Mathematics Grade 1 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
5001020: Art - Grade 1 (Specifically in versions: 2014 - 2015, 2015 - 2019, 2019 - 2022, 2022 - 2024, 2024 and beyond (current))
7701025: Access Art Grade 1 (Specifically in versions: 2018 - 2019, 2019 - 2023, 2023 and beyond (current))
5012005: Foundational Skills in Mathematics K-2 (Specifically in versions: 2019 - 2022, 2022 - 2024, 2024 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

Partition A Rectangle:

Students partition a rectangle into two equal parts and then describe the parts.

Type: Formative Assessment

Which Is Less?:

Students are asked to share a rectangular cake between two people and then among four people and decide which results in smaller pieces.

Type: Formative Assessment

Partition the Pizza:

Students fold a picture of a circular pizza into four equal parts and then are asked to describe each part.

Type: Formative Assessment

Half of a Rectangle:

Students are asked to partition a rectangle into halves.

Type: Formative Assessment

Lesson Plans

It's a Piece of Cake...and Pizza:

This lesson focuses only on partitioning circles and rectangles into two equal-sized parts, naming the parts with the word half/halves. Students will be partitioning paper pizzas and cakes to learn the concepts and then building pizzas through a game.

Type: Lesson Plan

Equal Shares at the Zoo? Who Knew!:

In this lesson, students will be partitioning shapes into halves and fourths. The class will get a letter from a zoo requesting their help in solving some problems with designing the layout of animal enclosures.

Type: Lesson Plan

Halves and Quarters of Circles:

In this lesson, students will learn how to partition circles into halves and quarters/fourths and examine how partitioning a circle into more equal shares creates smaller shares.

Type: Lesson Plan

Pizza Anyone? Exploring Halves and Fourths/Quarters:

This lesson practices the partitioning a whole to equal shares for halves, fourths, and quarters through pizza and candy bar manipulatives. Students are then challenged to demonstrate how many different ways they can fold a square sticky note into fourths!

Type: Lesson Plan

Halves, Quarters and Fourths:

In this lesson, the students will partition circles and rectangles into halves and fourths in order to gain a solid foundation for fractions.

Type: Lesson Plan

Halves and Fourths:

In this lesson, students will gain experience partitioning rectangle and circles into equal shares of halves and fourths and naming the parts appropriately.

Type: Lesson Plan

Fair Share Picnic:

In this introductory lesson on halves, pairs of students will rotate through math stations to prepare for a picnic. They will use paper materials to represent wholes and partition each whole into halves, using applicable mathematics vocabulary.

Type: Lesson Plan

Who gets the bigger share?:

Use this interactive lesson to help your students learn about fractions by partitioning circles and rectangles into two, three, or equal-sized parts and by using a real life scenario.

Type: Lesson Plan

Halves and Fourths:

This lesson uses a discovery approach to exploring the meaning of halves and fourths. The students will utilize math benchmarks as they analyze math solutions and explain their solutions. This lesson also teaches students that they can decompose larger sized parts to make smaller sized parts.

Type: Lesson Plan

Halves and Wholes:

In this lesson, students will gain a foundation for fractions by partitioning circles and rectangles into two equal-sized shares.

Type: Lesson Plan

I'll Share With You:

This lesson focuses on the beginning understanding of fractions through fair-sharing. Students will partition circles and rectangles into 2 and 4 equal-sized parts and be able to describe these parts using appropriate language such as halves and fourths.

Type: Lesson Plan

A Fourth of That?:

Students will partition circles and rectangles into four equal-sized parts. This is a foundational building block of fractions. Students should also develop an understanding of the idea of the whole. This is part of a series of lessons dealing with the foundation for fractions. The other two lessons are Resource ID 46582 and 46846. Throughout the three lessons the students are creating a Fraction Book.

Type: Lesson Plan

Half of This, A Fourth of That, A Whole Lot of Fun!:

Students will partition circles and rectangles into two and four equal-sized parts. They will also explore and discuss the concept that decomposing into more equal shares creates smaller shares. This is a foundational building block of fractions. Students should also develop an understanding of the idea of the whole. This is part of a series of lessons dealing with the foundation for fractions. The other two lessons are Resource IDs 46582 and 46764. Throughout the three lessons the students are creating a Fraction Book.

Type: Lesson Plan

Half of This?:

Students will partition circles and rectangles into two equal-sized parts. This is a foundational building block of fractions. Students should also develop an understanding of the idea of the whole. This is part of a series of lessons dealing with the foundation for fractions. The other two lessons are Resource ID 46764 and 46846. Throughout the three lessons the students are creating a Fraction Book.

Type: Lesson Plan

Original Student Tutorials

Equal Shares Heroes Find Fourths:

Be a hero and partition circles and rectangles into four equal shares. Describe equal shares using the words "fourths" and "quarters" in this interactive tutorial.

Type: Original Student Tutorial

Equal Shares Heroes:

Help the heroes separate circles and rectangles into equal shares and describe the equal shares as "halves" or "half of" as you complete this interactive tutorial. 

Type: Original Student Tutorial

Teaching Idea

Shape Hunt:

To give students opportunities to recognize, describe, build, and explore shapes in many different contexts.

Type: Teaching Idea

MFAS Formative Assessments

Half of a Rectangle:

Students are asked to partition a rectangle into halves.

Partition A Rectangle:

Students partition a rectangle into two equal parts and then describe the parts.

Partition the Pizza:

Students fold a picture of a circular pizza into four equal parts and then are asked to describe each part.

Which Is Less?:

Students are asked to share a rectangular cake between two people and then among four people and decide which results in smaller pieces.

Original Student Tutorials Mathematics - Grades K-5

Equal Shares Heroes:

Help the heroes separate circles and rectangles into equal shares and describe the equal shares as "halves" or "half of" as you complete this interactive tutorial. 

Equal Shares Heroes Find Fourths:

Be a hero and partition circles and rectangles into four equal shares. Describe equal shares using the words "fourths" and "quarters" in this interactive tutorial.

Student Resources

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

Original Student Tutorials

Equal Shares Heroes Find Fourths:

Be a hero and partition circles and rectangles into four equal shares. Describe equal shares using the words "fourths" and "quarters" in this interactive tutorial.

Type: Original Student Tutorial

Equal Shares Heroes:

Help the heroes separate circles and rectangles into equal shares and describe the equal shares as "halves" or "half of" as you complete this interactive tutorial. 

Type: Original Student Tutorial

Parent Resources

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