Standard #: MA.3.A.2.1 (Archived Standard)


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Represent fractions, including fractions greater than one, using area, set, and linear models.


Remarks


Examples of area models include circular and rectangular shapes. Area models can also be represented by more unusual shapes.

 

Examples of set models include groups of objects such as counters.

 

Linear models refer to the number line and fraction strips.

Example: Arvin ate ½ of a pizza. April ate ½ of a pizza. Arvin claimed that he ate more pizza than April did. Show that Arvin's claim can be correct.

 



General Information

Subject Area: X-Mathematics (former standards - 2008)
Grade: 3
Body of Knowledge: Algebra
Big Idea: BIG IDEA 2 - Develop an understanding of fractions and fraction equivalence.
Date Adopted or Revised: 09/07
Content Complexity Rating: Level 2: Basic Application of Skills & Concepts - More Information
Date of Last Rating: 06/07
Status: State Board Approved - Archived
Assessed: Yes

Test Item Specifications

    Item Type(s): This benchmark may be assessed using: MC item(s)
    At Grade 3, this benchmark will be assessed using MC items, with the following distribution: 1/3 of the items represent fractional parts of an area model, 1/3 of the items represent fractional parts of a set of objects, and 1/3 of the items represent fractional parts of a linear model.

    Clarification :
    Students will represent a fraction or a mixed number by a graphic representation or identify a fraction or mixed number from its graphic representation.
    Content Limits :
    Area models may include shapes such as circles and rectangles. 

    Set models may include groups of objects such as counters or other objects familiar to Grade 3 students. 

    Linear models may include number lines and fraction strips. 

    Items may include fractions and mixed numbers up to and including the whole number 5. 

    Items may include fractions with denominators from 1 through 10, 12, or 16.

    Stimulus Attributes :
    Graphics must be used in all these items.
    Response Attributes :
    Responses should not be listed in numerical order when this would be a clue to the correct response.


Sample Test Items (1)

Test Item # Question Difficulty Type
Sample Item 1 Rosalyn drew three figures and shaded parts of each figure.

figure

what mixed number is represented by the shading of the three figures above? 		N/A MC: Multiple Choice


Related Resources

Educational Game

Name Description
Fraction Beach

In this interactive Flash game, students are challenged to identify a fraction from a picture of a group of objects or from a geometric diagram, or they are asked to create a diagram or picture given a common fraction. Motivation is provided by earning buckets of sand to built a sand castle.

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 Plan

Name Description
"What's the part? What's the whole?"

This lesson provides a conceptual approach to multiplying a fraction times a whole number and a whole number times a fraction.  Students are to use an understanding of the meaning of the denominator and numerator to figure out a strategy for finding the solution. 

Virtual Manipulatives

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
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 Game

This virtual manipulative allows individual students to work with fraction relationships. (There is also a link to a two-player version.)

Student Resources

Educational Game

Name Description
Fraction Beach:

In this interactive Flash game, students are challenged to identify a fraction from a picture of a group of objects or from a geometric diagram, or they are asked to create a diagram or picture given a common fraction. Motivation is provided by earning buckets of sand to built a sand castle.

Virtual Manipulatives

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
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 Game:

This virtual manipulative allows individual students to work with fraction relationships. (There is also a link to a two-player version.)



Parent Resources

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.

Virtual Manipulatives

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
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


Printed On:5/24/2025 11:46:32 AM
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