Number and Operations—Fractions

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

7. Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.

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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 game requires students to divide the unit into fractions in order to distribute the proper laser power to the space creatures. Each level begins with a laser with a value of 1 that must be divided into several parts (from 1/2 to 11/24). The first few levels simply show how to redirect the laser, and then each level builds to more complicated fractions. The user may play the game straight through or choose a level of difficulty. | Game, Video Grade Level: 5, 6+ | |

This webpage contains sample items and performance tasks from the Smarter Balanced assessment system in mathematics as well as English LA/Literacy. They are intended to help teachers, administrators, and policymakers implementing the Common Core State Standards (CCSS) prepare for next-generation assessments and plan the required shifts in instruction. Sample items and tasks can be viewed by grade band (grades 3-5, 6-8, and high school) or content focus. They showcase the variety of item types, including technology-enhanced items and performance tasks, that will be included in the assessment system. A drop-down tab provides information on each item, including grade level, CCSS alignment, and a scoring rubric for performance tasks. | Assessment, Interactive Media, Problem Set Grade Level: 3, 4, 5, 6+ | |

This 4-page document (pdf) explains the intent, development and benefits of the CCSS. It addresses the Standards for Mathematical Practice and provides sample fractions problems to illustrate the grade 5 content standards. The article discusses assessment and implementation, and offers suggestions for parent involvement. It is available in English and Spanish. | Reference Materials Grade Level: K, 1, 2, 3, 4, 5 | |

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+ | |

Thinking Blocks is an interactive Flash tool for modeling and solving math problems visually. Students represent quantities and relationships by placing blocks and braces on a work space and using the tools to resize and label them accordingly. Users can change the color of blocks, move them, copy them, divide them into equal parts, and separate them. A pencil tool and keyboard are also available. The site includes video tutorials demonstrating how to use the tool and how to model a wide variety of problem types. It also contains a bank of hundreds of word problems. | Activity, Interactive Media, Problem Set, Tools, Video Grade Level: 1, 2, 3, 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 |