Number and Operations—Fractions

Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.

3. Understand a fraction a/b with a > 1 as a sum of fractions 1/b.

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Resource | Resource Type Grade Level | Rating |
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This progressions document from the Common Core Standards Writing team explains how fractions are incorporated in the standards from third grade through fifth grade. Each grade level includes an explanation, important vocabulary, and illustrations. | Instructional Strategy, Reference Materials Grade Level: 3, 4, 5 | |

Twenty-eight lesson plans make up this research-based fourth and fifth grade fraction curriculum. It includes a teacher guide with theoretical framework and instructions and templates for making manipulatives. The Rational Number Project is an NSF-funded multi-university research project, and originally published this series of lessons in 1997 as "Fraction Lessons for the Middle Grades Level 1". This is an updated version, aligned to NCTM Standards for 2000. | Instructor Guide/Manual, Lesson Plans Grade Level: 4, 5, 6+ | |

Teachers can use this interactive tool to help students build a conceptual understanding of subtracting fractions with common denominators by linking visual models to procedures. The page includes a video demonstration of the tool. Free registration is required to use the tool. A paid subscription is necessary to access curriculum materials and allow full student use. | Demonstration, Interactive Media, Video Grade Level: 4, 5, 6+ | |

These videos focus on specific standards and include examples/illustrations geared to clarify the meaning of the individual standard rather than to be a guide on how to teach it. There is an introductory video for the collection; the videos are organized by grade level and can be downloaded as well as viewed online. | Instructional Strategy, Reference Materials, Video Grade Level: K, 1, 2, 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 | |

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+ |