Standard 1 : Develop an understanding of fractions.



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General Information

Number: MA.2.FR.1
Title: Develop an understanding of fractions.
Type: Standard
Subject: Mathematics (B.E.S.T.)
Grade: 2
Strand: Fractions

Related Benchmarks

This cluster includes the following benchmarks
Code Description
MA.2.FR.1.1: Partition circles and rectangles into two, three or four equal-sized parts. Name the parts using appropriate language, and describe the whole as two halves, three thirds or four fourths.
Clarifications:
Clarification 1: Within this benchmark, the expectation is not to write the equal-sized parts as a fraction with a numerator and denominator.

Clarification 2: Problems include mathematical and real-world context.

MA.2.FR.1.2: Partition rectangles into two, three or four equal-sized parts in two different ways showing that equal-sized parts of the same whole may have different shapes.


Related Access Points

This cluster includes the following access points.

Access Points

Access Point Number Access Point Title
MA.2.FR.1.AP.1: Partition rectangles into two or four equal-sized parts in two different ways showing that equal-sized parts of the same whole may have different shapes.


Related Resources

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

Original Student Tutorials

Name Description
Partitioning Cakes: Thirds:

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

Partitioning Pizzas: Halves:

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

Partitioning Circular Pies: Fourths:

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

Chocolate Partitioning!:

Learn to partition a rectangular chocolate bar into equally sized pieces by making rows and columns in this interactive tutorial. 

 

Note: This tutorial extends beyond partitioning a rectangle into 4 equal sized shares and explores partitioning into higher numbers.

Formative Assessments

Name Description
Different Halves:

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

Different Fourths:

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

How Many Fourths Are in a Whole?:

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

Halves, Thirds, and Fourths:

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

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
Drone Zones:

Students will explore the division of a square into equal parts in multiple ways and interpret tally marks within a table to help a city develop a plan to inspect roadways after a hurricane using drones.

This is an open-ended engineering design lesson where students will develop a model to help them solve a problem. There are no “right” answers as the lesson is focused on the process of developing a solution and the skills and reasoning behind the process. Students should be given the freedom to interpret the problem and parameters in unique ways to pursue their own lines of thinking in producing a solution.

Partition the Flag:

In this Math and Social Studies Civics lesson plan, students will use their mathematical knowledge of fractions as equal groups, and knowledge of wholes, and fourths. Additionally, students will use two interrelated symbols representing Florida, to design a new Florida State Flag into four equal parts. Students will discuss and reason why Marjory Stoneman Douglas and the Florida Everglades were chosen as symbols of Florida, and brainstorm other possible symbols that could be used based on their personal experiences. As students design their flag, they will determine the best way to partition the rectangular shape into fourths, so that the four areas are equal-sized parts.

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.

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.

Thirds:

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

Perspectives Video: Teaching Ideas

Name Description
Using Manipulatives to Add Fractions:

Unlock an effective teaching strategy for teaching adding fractions in this Teacher Perspectives video for educators.

Making Connections Between Partitioning Circles and Circle Graphs:

Unlock an effective teaching strategy for connecting partitioning circles and circle graphs in this Teacher Perspectives video for educators.

Decomposing Fractions in Multiple Ways:

Unlock an effective teaching strategy for decomposing fractions in multiple ways in this Teacher Perspectives video for educators.

Exploring Fractions with Pattern Blocks:

Unlock an effective teaching strategy for using pattern blocks to explore fraction concepts in this Teacher Perspectives video for educators.

Problem-Solving Tasks

Name Description
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.

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.

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


Student Resources

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

Original Student Tutorials

Title Description
Partitioning Cakes: Thirds:

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

Partitioning Pizzas: Halves:

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

Partitioning Circular Pies: Fourths:

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

Chocolate Partitioning!:

Learn to partition a rectangular chocolate bar into equally sized pieces by making rows and columns in this interactive tutorial. 

 

Note: This tutorial extends beyond partitioning a rectangle into 4 equal sized shares and explores partitioning into higher numbers.

Problem-Solving Tasks

Title Description
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.

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.

Virtual Manipulative

Title 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


Parent Resources

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

Image/Photograph

Title 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 Tasks

Title Description
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.

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.

Virtual Manipulative

Title 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