Number and Operations—Fractions

Develop understanding of fractions as numbers.

3. Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

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Resource | Resource Type Grade Level | Rating |
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This interactive Flash applet develops a student's fractional understanding and provides practice with comparing and ordering fractions. The learner is given five fractions in "frames" and must place them on the wall hooks in order from least to greatest. If help is needed, a student can enter the Testing Room and manipulate a pair of pipes to see and/or compare the two fractions side by side. | Activity, Interactive Media Grade Level: 3, 4, 5 | |

The resource booklet contains pattern block activities for grades 3-5. The activities cover a range of math topics including fractions, symmetry, and angles. Each activity includes a list of standards, resources needed, and suggestions for implementation. The resource booklet includes activity sheets and vocabulary cards. | Activity, Game, Instructor Guide/Manual Grade Level: 3, 4, 5 | |

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+ | |

In this formative assessment lesson (PDF) students learn to represent fractions on a number line. This multi-part lesson is based upon a story problem involving six friends swimming a 1-mile race in a lake. Included in the lesson is a pre-assessment, two versions of the lesson task, an assessment, and suggested feedback based on student errors. | Assessment, Activity, Lesson Plans Grade Level: 3 | |

This iOS app can be used to drag, manipulate and animate visual mathematics to develop and generalize student understanding of fundamental concepts across elementary mathematics. For elementary purposes click on the book in the bottom right of the screen and then select the Elementary Mathematics Guide. Within the Elementary Mathematics guide there are eight activities that can be completed using this application. Each activity includes an exploration with guiding questions. | Activity, Interactive Media, Mobile App 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+ | |

Teachers can use this interactive tool to help students build a conceptual understanding of fractions by creating artwork on a grid, where each color represents a fraction. Students learn how fractions are related to each other and that their value is determined by the value of the unit. This page includes a video demonstration of the tool and sample lessons from the Conceptua curriculum. Free registration is required to use the tool. A paid subscription is necessary to access full curriculum and allow full student use. | Activity, Demonstration, Interactive Media, Video Grade Level: 3, 4, 5 | |

Teachers can use this interactive tool to help students develop fraction sense by arranging pattern blocks to explore unitizing. Then they can see their correct answer tessellate. This page includes a video demonstration of the tool. Free registration is required to use the tool. A paid subscription is necessary to access full curriculum and allow full student use. | Activity, Demonstration, Interactive Media, Video Grade Level: 3, 4, 5 Resource is part of a PD collection | |

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+ |