Strand: NUMBER AND OPERATIONS - FRACTIONS (3.NF)

Develop understanding of fractions as numbers. Denominators are limited to 2, 3, 4, 6, and 8 in third grade.

Standard 3.NF.3

Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

• Comparing Fractions
The purpose of this task is for students to compare fractions using common numerators and common denominators and to recognize equivalent fractions. Students need to represent their answers with both symbols and pictures, so that the visual representation can help students make meaning of the more abstract symbolic representations.
• Comparing Fractions Game
The goal of this task is to compare fractions with a focus on providing explanations that demonstrate deep conceptual understanding.
• Comparing Fractions with a Different Whole
This task is meant to address a common error that students make, namely, that they represent fractions with different wholes when they need to compare them.
• Comparing Fractions with Lines
This lesson will help students simplify fractions, compare and order them on a number line, and estimate their value.
• Comparing Fractions with the Same Denominator, Assessment Variation
This task is part of a set of three assessment tasks for 3.NF.3d. This part of the standard is about comparing two fractions with the same numerator or the same denominator by reasoning about their size, and understanding that such comparisons are valid only when the fractions refer to the same whole.
• Comparing Fractions with the Same Numerators, Assessment Variation
This task is part of a set of three assessment tasks for 3.NF.3d. This part of the standard is about comparing two fractions with the same numerator or the same denominator by reasoning about their size, and understanding that such comparisons are valid only when the fractions refer to the same whole.
• Equivalent Fractions Finder
Students doing this lesson will visually experiment with the relationship between the value of fractions and areas within a square or a circle. In doing so they will practice simplifying fractions and compare fractions.
• Equivalent Fractions Pointer
This lesson will help students understand how to simplify and compare fractions as well as place them in order on a number line.
• Fraction Comparisons With Pictures, Assessment Variation
This task is part of a set of three assessment tasks for 3.NF.3d. This part of the standard is about comparing two fractions with the same numerator or the same denominator by reasoning about their size, and understanding that such comparisons are valid only when the fractions refer to the same whole.
• Grade 3 Math Module 5: Fractions as Numbers on the Number Line (EngageNY)
In this 35-day Grade 3 module, students extend and deepen second grade practice with "equal shares" to understanding fractions as equal partitions of a whole. Their knowledge becomes more formal as they work with area models and the number line.
• Grade 3 Unit 5: Representing and Comparing Fractions (Georgia Standards)
In this unit, students will develop an understanding of fractions, beginning with unit fractions. View fractions in general as being built out of unit fractions, and they use fractions along with visual fraction models to represent parts of a whole. Understand that the size of a fractional part is relative to the size of the whole. For example, 1/2 of the paint in a small bucket could be less paint than 1/3 of the paint in a larger bucket, but 1/3 of a ribbon is longer than 1/5 of the same ribbon because when the ribbon is divided into 3 equal parts, the parts are longer than when the ribbon is divided into 5 equal parts. Students are able to use fractions to represent numbers equal to, less than, and greater than one.
• Halves, thirds, and sixths
The purpose of this task is for students to use their understanding of area as the number of square units that covers a region, to recognize different ways of representing fractions with area, and to understand why fractions are equivalent in special cases.
• IXL Game: Compare Fractions
This game helps the third grader compare two fractions with the same numerator or the same denominator by reasoning about their size. This is just one of many online games that supports the Utah Math core. Note: The IXL site requires subscription for unlimited use.
• Jon and Charlie's Run
The purpose of this task is to present students with a context where they need to explain why two simple fractions are equivalent and is most appropriate for instruction.
• Ordering Fractions
The purpose of this task is to extend students' understanding of fraction comparison and is intended for an instructional setting.
• Snow Day
The purpose of this task is for students to investigate a claim about a comparison of two fractions in a context. This particular task helps students to construct viable arguments and critique the reasoning of others. Students are asked to critique the reasoning of Alec's claim that his school day was shorter than his brother's in the scenario given.

http://www.uen.org - in partnership with Utah State Board of Education (USBE) and Utah System of Higher Education (USHE).  Send questions or comments to USBE Specialist - Shannon Olson and see the Mathematics - Elementary website. For general questions about Utah's Core Standards contact the Director - Jennifer Throndsen .

These materials have been produced by and for the teachers of the State of Utah. Copies of these materials may be freely reproduced for teacher and classroom use. When distributing these materials, credit should be given to Utah State Board of Education. These materials may not be published, in whole or part, or in any other format, without the written permission of the Utah State Board of Education, 250 East 500 South, PO Box 144200, Salt Lake City, Utah 84114-4200.