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.
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 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.
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.
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 - 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)
Number and Operations - Fractions - 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)
Rational Number Project
This portal leads to 28 lesson plans designed to help students understand the four operations with fractions.
Solving Equivalent Fraction Problems: Bianca's New Pet
Students view a video about Bianca who must use equivalent fractions to build an house for her new pet. In the associated activity students work with graph paper to represent a candy bar and portions of it and create a word problem involving equivalent fractions to be solved by a classmate. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
USBE Core Guide (4NF2)
This core guide was developed by USBE and Utah educators.
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.
Word Problems Using Addition and Subtraction of Fractions: Harry Gets Locked Up
In order to use his cousin's bike, Harley must solve a word problem that will give him the combination to the bike lock. Students crack a code on their own in the accompanying classroom activity. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
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 -
and see the Mathematics - Elementary website. For
general questions about Utah's Core Standards contact the Director
- DIANA SUDDRETH .
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