MA.3.A.2.3Archived Standard

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Compare and order fractions, including fractions greater than one, using models and strategies.

Remarks

Strategies include using benchmark fractions and common numerators and denominators. Typical benchmarks for comparing fractions are 0, 1⁄2, and 1. Fractions can also be compared by looking at numerators, such as when comparing 2⁄5 and 2⁄6. Since both fractions represent two parts of a whole, the size of the parts can be compared. Fifths are larger than sixths so 2⁄5 is greater than 2⁄6.
General Information
Subject Area: X-Mathematics (former standards - 2008)
Grade: 3
Body of Knowledge: Algebra
Idea: Level 2: Basic Application of Skills & Concepts
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)
    • Also assesses MA.3.A.2.2 Describe how the size of the fractional part is related to the number of equal-sized pieces in the whole.
  • Clarification :

    Students will compare or order fractions using graphic representations or other strategies, such as benchmark fractions (0,1/10, 1/5, ¼, 1/3, 2/3, 3/4, and 1)

  • Content Limits :
    Denominators of fractions must be 1 through 10, 12, or 16. 

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

    Items may include only the inequality symbols < and > .

  • Stimulus Attributes :
    Items involving mixed numbers must include graphic representations.

    Fractions in items must have either the same denominators, the same numerators, graphical representations, or be easily compared to benchmark fractions, such as 0,1/10, 1/5, ¼, 1/3, 2/3, 3/4, and 1

  • Response Attributes :
    Responses may include fractions, mixed numbers, or graphics.

    Responses should not be listed in numerical order when this would be a clue to the correct response.
Sample Test Items (1)
  • Test Item #: Sample Item 1
  • Question:

    Two windmills are pictured below. On Windmill A, ½ of the blades are shaded gray. On Windmill B, ? of the blades are shaded gray.

    windmill

    Which inequality below correctly compares the fractions of blades that are shaded gray?

  • Difficulty: N/A
  • Type: MC: Multiple Choice

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.

Image/Photograph

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.

Type: Image/Photograph

Virtual Manipulative

Fraction Game:

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

Type: Virtual Manipulative

Student Resources

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

Virtual Manipulative

Fraction Game:

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

Type: Virtual Manipulative

Parent Resources

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

Image/Photograph

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.

Type: Image/Photograph