Number and Operations—Fractions

Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

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Teachers can use this interactive tool to help students build a conceptual understanding of what it means to multiply with fractions. The tool includes word problems and paraphrase applications of the word problems, visual models, and equations. It can be used to model the use of multiplication to find the product for both "groups of" and "parts of" problems. 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, Lesson Plans, Video Grade Level: 4, 5, 6+ | |

This problem, based on the story of Goldilocks and the Three Bears, provides a context for children to apply ratio and proportion concepts as well as fraction computation skills. Using the given size relationships among the bears, solvers determine the sizes of various objects in the bears' house. The Teachers' Notes page offers suggestions for implementation, key questions, ideas for extension and support, a printable pdf of the problem, and links to related problems. | Activity Grade Level: 4, 5, 6+ | |

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- through sixth-grade fraction and decimal curriculum, covering through addition and subtraction of decimals, and multiplication and division of fractions. It includes a teacher guide with theoretical framework and instructions and templates for making manipulatives, as well as suggestions for using the lessons with English-language learners (ELL). The Rational Number Project is an NSF-funded multi-university research project. | Lesson Plans Grade Level: 4, 5, 6+ | |

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+ | |

This 8-page article (PDF) details the errors and misconceptions that students may have with fraction computation. The article emphasizes the importance of putting fraction problems in a real world context in order to deepen understanding of fractions and operations with fractions. By anticipating potential errors and misconceptions, teachers can help students avoid misunderstandings that might arise from these models and contexts. | Instructional Strategy, Reference Materials, Article 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 | |

This series of interactive activities introduces fraction concepts, notation, addition, and multiplication in a concept-building way. It includes a teacher page with implementation ideas and standards alignment. | Activity, Lesson Plans, Unit of Instruction Grade Level: 3, 4, 5 | |

This is the Spanish version of the resource Who Wants Pizza? This series of interactive activities introduces fraction concepts, notation, addition, and multiplication in a concept-building way. It includes a teacher page with implementation ideas and standards alignment. | Activity, Lesson Plans, Unit of Instruction Grade Level: 3, 4, 5 |