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.7

Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, for example, by using a visual model.

This problem simply asks students to add the tenths and hundredths together.
• Dimes and Pennies
This task asks: "A dime is 1/10 of a dollar and a penny is 1/100 of a dollar. What fraction of a dollar is 6 dimes and 3 pennies? Write your answer in both fraction and decimal form."
• Expanded Fractions and Decimals
The purpose of this task is for students to show they understand the connection between fraction and decimal notation by writing the same numbers both ways.
• Fraction Conversion 2 (with percents)
When completing this lesson students will understand how to convert fractions, decimals, and percentages.
• Fraction Equivalence
Students are given this task: "Explain why 6/10=60.100. Draw a picture to illustrate your explanation."
• Grade 4 Mathematics Module 6: Decimal Fractions
This 20-day module gives students their first opportunity to explore decimal numbers via their relationship to decimal fractions, expressing a given quantity in both fraction and decimal forms. Utilizing the understanding of fractions developed throughout Module 5, students apply the same reasoning to decimal numbers, building a solid foundation for Grade 5 work with decimal operations.
• Grade 4 Unit 5: Fractions and Decimals (Georgia Standards)
In this unit, students will express fractions with denominators of 10 and 100 as decimals, understand the relationship between decimals and the base ten system, understand decimal notation for fractions, use fractions with denominators of 10 and 100 interchangeably with decimals and express a fraction with a denominator 10 as an equivalent fraction with a denominator 100.
• How Many Tenths and Hundredths?
In this task students are given a list of equations such as "1 tenth + 4 hundredths = ______________ hundredths" and asked to finish the equations to make true statements.
• 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 Place Value
Each part of this task highlights a slightly different aspect of place value as it relates to decimal notation. More than simply being comfortable with decimal notation, the point is for students to be able to move fluidly between and among the different ways that a single value can be represented and to understand the relative size of the numbers in each place.

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.