Number and Operations—Fractions

Understand decimal notation for fractions, and compare decimal fractions.

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This interactive Flash applet can be used to compare and explore equivalence among fractions, decimals and percentages. It allows a child or teacher to represent fractions on one or more fraction strips, and to color individual parts. Each displayed strip can be labelled as a fraction, a decimal (to three decimal places) or a percentage; the ratio of yellow to green parts of each strip can also be displayed. It lends itself well to use with an interactive white board. A pdf guide to this collection of teaching applets is cataloged separately. | Activity, Interactive Media Grade Level: 2, 3, 4, 5, 6+ | |

This 5-minute video highlights a grade 4 class using a game, Fill Two, to reinforce their understanding of decimals, specifically tenths and hundredths. Teacher Tiffani Poirier provides rationale and demonstrates implementation strategies. Downloadable support materials are included: lesson plan, game materials, teacher instructions, video transcript, and a SMART Board Notebook file. | Activity, Game, Lesson Plans, Video Grade Level: 4, 5, 6+ | |

This customizable iOS app ($) provides practice with a variety of mental math skills. Users roll or drag marbles through a maze collecting numbers that satisfy given challenges. Each of the three levels of difficulty offers a range of skills that may be selected. The game rewards accuracy and includes obstacles and bonuses that increase the motivational value. | Activity, Interactive Media, Mobile App Grade Level: 1, 2, 3, 4, 5, 6+ | |

This interactive Wolfram Demonstration helps students visualize and understand the relationship between fractions and decimals. Users manipulate controls to adjust the size of the decimal portion of a pie eaten, in increments of hundredths. The result is represented visually on the diagram of a pie as well as in fraction and decimal forms. The remainder of the pie is also displayed as a fraction and its decimal equivalent. Wolfram CDF Player, a free download, is required to view this resource. | Activity, Interactive Media Grade Level: 4, 5 | |

Teachers can use this interactive tool to help students build a conceptual understanding of the value of fractions by placing numbers, visual models, and decimals on a number line. Students learn that every fraction and decimal describes a specific value. 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, 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 lesson provides an opportunity for students to develop concepts and skills with fractions, decimals, and percentages in the context of shooting baskets. Students take turns tossing a ball into a wastebasket a number of times determined by a random card draw, while other students keep track of the number of shots made. The class processes the data by creating fractions and converting them into decimals and percentages, and then uses them to analyze and interpret the results. | Activity, 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 collection of 21 videos (2 - 12 min each) details the 3-part lesson structure used in Ontario math classrooms. Lessons involve open-ended problems and teaching practices that build self-efficacy, independence, collaboration, and communication. The videos follow a team of teachers and support staff as they plan and co-teach a lesson on fractions based on the 3-part structure: activation of prior knowledge, work on the problem, and consolidation and practice. The series includes clips offering related perspectives from Lucy West, Deborah Ball, Marian Small, and Steven Katz. Videos may be streamed or downloaded (.mov or .wmv). A downloadable (pdf) Viewer's Guide summarizes and elaborates on the videos and provides reflection questions. | Instructional Strategy, Lesson Plans, Video Grade Level: 4, 5, 6+ |