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.

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Resource | Resource Type Grade Level | Rating |
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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 Grade Level: 3, 4, 5 | |

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 Grade Level: 4, 5 | |

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 Grade Level: 4, 5, 6+ | |

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 Grade Level: 4, 5, 6+ | |

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 Grade Level: 4, 5, 6+ 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 Grade Level: 4, 5, 6+ | |

This collection of lessons, interactive Flash exercises and teacher utilities supports the learning of fraction concepts using side-by-side symbolic and pictorial representations. The lessons cover identifying, comparing, renaming and operating with fractions using circle and number line models. The Fraction Maker feature allows a teacher to create visual models to illustrate those same topics with fractions chosen by the user. The site includes student games and worksheets as well as suggestions and resources for the teacher. | Activity, Game, Interactive Media, Tutorial Grade Level: 3, 4, 5, 6+ | |

This 5-lesson unit gives students practice in using calculating, graphing and modeling skills to analyze varoius aspects of weather. Students calculate fractions of a set of rainfall data, graph damage costs of selected hurricanes, and make Venn diagrams to compare droughts and hurricanes. Visuals and student handouts are provided. | Activity, Unit of Instruction Grade Level: 4, 5 | |

This formative assessment lesson is intended to help teachers assess how well students are able to use fractions in a problem solving context. In particular this lesson aims to identify and help students with difficulties in fractional concepts and problem solving strategies. | Activity, Lesson Plans Grade Level: 4, 5, 6+ |