Common Core State Standards for Mathematics

Grade(s) 4 resources related to the following standard:
Number and Operations—Fractions
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
4. Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
a. Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product 5 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4).

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This interactive applet helps develop the concept of fractions as equal parts of a whole unit. Students estimate common unit fractions of a "ribbon" length and duplicate them to check accuracy. Then they extend this technique to explore the relationship of unit fractions with non-unit fractions and mixed numbers, to find the whole from a given fractional portion, and finally to use shorter ribbon pieces to measure longer ones. The Control Room allows teachers to customize several parameters.
Activity, Interactive Media
This 88-page document addresses the meaning of the Common Core State Standards for teaching fractions in grades 3-7. For each grade level the specific standards that are addressed are listed, followed by a detailed explanation of what the standards mean, including visual models, and any misconceptions teachers or students might have about how specific standards apply to fractions in the CCSS.
Instructional Strategy, Reference Materials, Article
Grade Level: 3, 4, 5, 6+
In this 7-minute video Dr. David C. Geary describes how to build students' understanding of the concepts behind the operations with fractions. He identifies the reasoning behind several student misconceptions and urges teachers to use these misconceptions to build conceptual understanding. A transcript of the video is available in PDF format.
Video
This collection of 21 videos (2 - 12 min each) details the 3-part lesson structure used in Ontario math classrooms. Lessons involve open-ended problems and teaching practices that build self-efficacy, independence, collaboration, and communication. The videos follow a team of teachers and support staff as they plan and co-teach a lesson on fractions based on the 3-part structure: activation of prior knowledge, work on the problem, and consolidation and practice. The series includes clips offering related perspectives from Lucy West, Deborah Ball, Marian Small, and Steven Katz. Videos may be streamed or downloaded (.mov or .wmv). A downloadable (pdf) Viewer's Guide summarizes and elaborates on the videos and provides reflection questions.
Instructional Strategy, Lesson Plans, Video
This iOS app gives students an opportunity to visually model and calculate six different types of fraction applications, all in the context of solving word problems. Types of problems include finding a fraction of a number, using a known part to find the whole or another part, and problems using the four operations. Teachers can track a student's progress throughout the problem sets. An online version of this application is cataloged separately as a related resource.
Interactive Media, Mobile App, Problem Set, Video
This interactive Flash activity gives students an opportunity to visually model and calculate six different types of fraction applications, all in the context of solving word problems. Types of problems include finding a fraction of a number, using a known part to find the whole or other part, and problems using the four operations. A video demonstration introduces the method, and then students work on problems. Teachers can track a student's progress throughout the problem sets.
Activity, Interactive Media, Problem Set, Video
Resource is part of a PD collection
In this lesson plan, students use recipes to practice three ways of doubling fractions using representations, addition, and multiplication. To complete this lesson, students learn to convert between improper fractions and mixed numbers. Included is a three and a half minute video called "The Right Amount of Cupcake Mix" and student worksheet.
Activity, Lesson Plans, Video