 Mathematics Grade 4

Strand: NUMBER AND OPERATIONS - FRACTIONS (4.NF)

Extend understanding of equivalence and ordering of fractions (Standards 4.NF.1�2). Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers (Standards 4.NF.3�4). Understand decimal notation to the hundredths and compare decimal fractions with denominators of 10 and 100 (Standards 4.NF.5� 7). Denominators for fourth grade are limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100.

Standard 4.NF.1

Explain why a fraction a/b is equivalent to a fraction (n x a)/(n x b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.

• 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.
• Explaining Fraction Equivalence with Pictures
The purpose of this task is to provide students with an opportunity to explain fraction equivalence through visual models in a particular example.
• Fractions and Rectangles
The primary goal of this task is for students to use pictures to explain the equivalence between 3/12 and 1/4.
• Grade 4 Mathematics Module 5: Fraction Equivalence, Ordering, and Operations
In this 40-day module, students build on their Grade 3 work with unit fractions as they explore fraction equivalence and extend this understanding to mixed numbers. This leads to the comparison of fractions and mixed numbers and the representation of both in a variety of models. Benchmark fractions play an important part in students ability to generalize and reason about relative fraction and mixed number sizes. Students then have the opportunity to apply what they know to be true for whole number operations to the new concepts of fraction and mixed number operations.
• Grade 4 Unit 3: Fraction Equivalents (Georgia Standards)
In this unit students will understand representations of simple equivalent fractions and compare fractions with different numerators and different denominators.
• Number and Operations - Fractions (3.NF) - Third Grade Core Guide
The Utah State Board of Education (USBE) and educators around the state of Utah developed these guides for Third Grade Mathematics - Number and Operations - Fractions (3.NF)
• Number and Operations - Fractions (4.NF) - Fourth Grade Core Guide
The Utah State Board of Education (USBE) and educators around the state of Utah developed these guides for Fourth Grade Mathematics - Number and Operations - Fractions (4.NF)
• Rational Number Project
This portal leads to 28 lesson plans designed to help students understand the four operations with fractions. 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 - Trish  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.