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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This interactive game, similar to "Fraction Game" (catalogued separately) allows two students an opportunity to think about how fractions are related to a unit whole, compare fractional parts of a whole, and find equivalent fractions. Two players move markers a total distance (forwards and backwards directions) that equals the random target fraction box, along their choice of seven parallel number line tracks, which are divided into different fractional parts. The goal is to move each of the seven markers to the right side of the game board before your opponent does. Instructions and discussion questions are given. | Activity, Game, Interactive Media Grade Level: 3, 4, 5 Resource is part of a PD collection | |

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 fraction game from GregTangMath.com provides users with challenges in mental reasoning about identifying, simplifying, comparing, and calculating with fractions. Players choose which skill they would like to focus on, then pick the operation or level within that skill. The game keeps track of how long it takes the player to complete the specified number of trials accurately. | Game Grade Level: 3, 4, 5 | |

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+ | |

This four-page article describes four basic approaches children use in understanding fractions as equal parts of a whole. Topics covered include working with equal shares, partitioning regions and units, understanding of fraction equivalence, and ideas for teaching fractions more effectively. References are given. | Reference Materials, Article Grade Level: 1, 2, 3, 4, 5 Resource is part of a PD collection | |

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 game offers students a chance to practice grouping fractions with the same number value, as well as visual representations of those fractions (using both circles and bars). A "check" button gives students three checks before the solution is revealed, and highlights incorrect groupings with each try. The site includes a version of the game enhanced for interactive whiteboards (IWBs). | Game Grade Level: 3, 4, 5, 6+ |