 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.2

Compare two fractions with different numerators and different denominators, for example, by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, for example, by using a visual fraction model.

• Comparing Fractions Using Benchmarks Game
The goal of this task is to determine appropriate benchmarks for fractions with a focus on providing explanations that demonstrate deep conceptual understanding.
• Comparing Fractions with Lines
This lesson will help students simplify fractions, compare and order them on a number line, and estimate their value.
• Doubling Numerators and Denominators
The purpose of this task is to assess whether students understand the meaning of the numerator and the denominator in a fraction. This task is not appropriate for a high-stakes summative assessment, but it could be very helpful in gauging students' flexibility with the meaning of fractions.
• Fraction King
This is a lesson plan to help students compare two fractions and understand the addition and subtraction of fractions.
• 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.
• IXL Game: Add and Subtract Fractions
This game helps fourth graders understand how to compare two fractions with different numerators and different denominators. This is just one of many online games that supports the Utah Math core. Note: The IXL site requires subscription for unlimited use.
• Listing fractions in increasing size
This activity asks students to order a group of fractions from smallest to largest and explain their reasoning.
• 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.
• Using Benchmarks to Compare Fractions
This task is intended primarily for instruction. The goal is to provide examples for comparing two fractions, 1/5 and 2/7 in this case, by finding a benchmark fraction which lies in between the two. 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 - Tricia French 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.