MA.4.A.2.3Archived Standard

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Relate equivalent fractions and decimals with and without models, including locations on a number line.

Remarks

Students can explore equivalency of fractions and decimals by using rulers.

 

Models may include rulers, fraction circles, sets of similar objects, and drawings.
General Information
Subject Area: X-Mathematics (former standards - 2008)
Grade: 4
Body of Knowledge: Algebra
Idea: Level 2: Basic Application of Skills & Concepts
Big Idea: BIG IDEA 2 - Develop an understanding of decimals, including the connection between fractions and decimals.
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 , GR item(s)
    • Also assesses MA.4.A.2.1 Use decimals through the thousandths place to name numbers between whole numbers.

    Also assesses MA.4.A.2.2 Describe decimals as an extension of the base-ten number system.
  • Clarification :
    Students will identify decimals that are equivalent to commonly used fractions or mixed numbers (see content limits on the following page) and vice versa. 

    Students will identify decimals and/or fractions from a graphical representation or a number line. 

    Students will recognize the relationship between the place values (e.g., place values increase by a factor of 10 as they move to the left). 

    Students will identify the place value of a digit to the right of the decimal point. 

    Students will find or identify a decimal, fraction, or mixed number between two numbers.

  • Content Limits :
    Items may include mixed numbers and/or fractions.

    Items may assess translating the following commonly used fractions or mixed numbers to decimals (or their decimal equivalents):1/10, 1/4, 1/2, 3/4, all fifths, tenths, hundredths, and thousandths. For example, 0.2, 0.20, 0.200, and 2/10 are all equivalent. Also, 0.5 = 1/2, 3/5 = 0.6, 3/2 = 1.5, or 7½ = 7.5.

    Items will not require the use of division or dividing a denominator into a numerator to translate a fraction to an equivalent decimal.

    Items will not assess simplifying fractions, except for converting commonly used fractions or mixed numbers to decimals.

    When naming or identifying fractions or decimals between two consecutive whole numbers, the whole numbers may not exceed 99.
  • Stimulus Attributes :
    Graphics should be used in some of these items, as appropriate.

    Items may include number lines, area models, or other visual representations.
  • Response Attributes :
    Gridded responses may not include fractions.

    Grids will have five digits, including three decimal places, up through 99.999.
Sample Test Items (2)
  • Test Item #: Sample Item 1
  • Question: Naomi plotted four points on the number line below.

    number line

    Which letter represents the point plotted at 98 3/8?
  • Difficulty: N/A
  • Type: MC: Multiple Choice
  • Test Item #: Sample Item 2
  • Question: The figure below represents the number 1. What decimal is represented by the shaded part of the figure?

  • Difficulty: N/A
  • Type: GR: Gridded-Response

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

Lesson Plan

Dynamic Decimals, Fractions and Money!:

This lesson is a practice lesson for student’s knowledge on connecting decimals, money and fractions. 

Type: Lesson Plan

Virtual Manipulative

Fraction Models:

An interactive tool to represent a fraction circle, rectangle, or set model with numerators and denominators ranging from 1 to 100. The decimal and percent equivalents of the created fraction are also displayed.

Type: Virtual Manipulative

Student Resources

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

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