Standard #: MA.3.FR.2.1


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Plot, order and compare fractional numbers with the same numerator or the same denominator.


Examples


The fraction begin mathsize 12px style 3 over 2 end style is to the right of the fraction begin mathsize 12px style 3 over 3 end style on a number line so begin mathsize 12px style 3 over 2 end style is greater than begin mathsize 12px style 3 over 3 end style.

Clarifications


Clarification 1: Instruction includes making connections between using a ruler and plotting and ordering fractions on a number line. 
Clarification 2: When comparing fractions, instruction includes an appropriately scaled number line and using reasoning about their size.

Clarification 3: Fractions include fractions greater than one, including mixed numbers, with denominators limited to 2, 3, 4, 5, 6, 8, 10 and 12.



Related Courses

Course Number1111 Course Title222
5012050: Grade Three Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7712040: Access Mathematics Grade 3 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
5012055: Grade 3 Accelerated Mathematics (Specifically in versions: 2019 - 2022, 2022 and beyond (current))
5012015: Foundational Skills in Mathematics 3-5 (Specifically in versions: 2019 - 2022, 2022 and beyond (current))


Related Access Points

Access Point Number Access Point Title
MA.3.FR.2.AP.1 Compare fractional numbers with the same denominator. Denominators are limited to 2, 3 and 4.


Related Resources

Formative Assessments

Name Description
Comparing Fractions

Students compare two pairs of fractions and record their comparisons using the less than or greater than symbols.

The Cake Problem

Students compare two fractional parts of two different wholes.

Four-Sixths on the Number Line

Students are asked to use a number line that includes the location of zero and one-sixth to find the location of four-sixths.

One-Third on the Number Line

Students are given four number line diagrams and asked to choose the one that correctly shows the location of one-third.

Five-Eighths on the Number Line

Students are asked to locate five-eighths on a number line that has been anchored by zero and one, but that has not yet been scaled.

Three-Fourths on the Number Line

Students are asked to scale a number line from zero to one so that they can find the location of three-fourths.

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.

Original Student Tutorials

Name Description
Fraction Camp! Fractions Greater Than 1 on a Number Line

Joey uses his knowledge of fractions to win games at camp by knowing where fractions greater than one are located on number lines, in this interactive tutorial.

Nature Walk: Fractions Less Than 1 on a Number Line

Learn to use number lines to represent fractions as Emmy explores nature in this interactive tutorial.

Finding Fractions at Camp: Fractions on a Number Line

Joey learns about the location of unit fractions on a number line while at camp in this interactive tutorial.

Student Resources

Original Student Tutorials

Name Description
Fraction Camp! Fractions Greater Than 1 on a Number Line:

Joey uses his knowledge of fractions to win games at camp by knowing where fractions greater than one are located on number lines, in this interactive tutorial.

Nature Walk: Fractions Less Than 1 on a Number Line:

Learn to use number lines to represent fractions as Emmy explores nature in this interactive tutorial.

Finding Fractions at Camp: Fractions on a Number Line:

Joey learns about the location of unit fractions on a number line while at camp in this interactive tutorial.



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.



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