Number and Operations—Fractions

Extend understanding of fraction equivalence and ordering.

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Resource | Resource Type Grade Level | Rating |
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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 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 | |

This interactive game gives students practice in ordering sets of whole numbers, integers, fractions, decimals, and the sizes of circles. Students re-order a group of numbers or objects in a line from least to greatest by dragging them. The activity is timed and points are awarded. | Activity, Interactive Media Grade Level: K, 1, 2, 3, 4, 5, 6+ | |

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 pair of videos (8 min and 10 min) and accompanying text illustrate various strategies for providing mental skills practice that is brief, interesting, useful, and effective. They include examples of teachers working with their students in group settings as well as narrative elaboration by Paul Goldenburg. Two related articles (Practice and Fact of the day) are cataloged separately. | Activity, Instructional Strategy, Reference Materials, Article, Video Grade Level: 1, 2, 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 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+ | |

This problem allows students an opportunity to think about fraction comparisons and equivalencies in a different way using interactive rods. Students are given two different fraction rods of unknown lengths and the goal is to find out what fraction the shorter rod is of the longer rod. A Teacher's Notes page, hints, solution, and printable pages are provided. | Activity, Interactive Media Grade Level: 3, 4, 5 | |

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 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+ |