Mathematics Grade 3
Educational Links

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.1

Understand that a unit fraction has a numerator of one and a non-zero denominator.

• Comparing Fractions with Lines
  This lesson will help students simplify fractions, compare and order them on a number line, and estimate their value.
• 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.
• 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.
• Naming the Whole for a Fraction
  The goal of this task is to show that when the whole is not specified, which fraction is being represented is left ambiguous.
• Single Fraction Finder
  In this lesson students will practice dividing a whole into a fraction and visualize fractions on a number line.
• Single Fraction Pointer
  This activity was designed to help students better understand fractions by practicing dividing a whole into a fraction and visualizing fractions on a number line.
• What Fraction of this Shape is Red?
  This Teaching Channel video shows how students can explore part and whole by creating pattern block designs. (4 minutes)

---

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 Specialists - Patricia  Stephens-French or Molly  Basham 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.