Number and Operations—Fractions

Develop understanding of fractions as numbers.

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Resource | Resource Type Grade Level | Rating |
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In this interactive activity a user identifies two pairs of equivalent fractions for a given random fraction or one of the player's own and the user creates their representations by dividing and shading either a square or circular region. The fractions are shown as locations on the number line and their equivalency is demonstrated when they are at the same point. The user has the ability to construct a table of equivalent fractions. Instructions and exploration questions are given. | Activity, Interactive Media Grade Level: 3, 4, 5 | |

In this NCTM iOS app a user identifies equivalent fractions for a given random fraction or one of the player's own. The user creates their representations by dividing and shading either a square or circular region. The fractions are shown as locations on the number line and their equivalency is demonstrated when they are at the same point. The user has the ability to construct a table of equivalent fractions. This app is related to an Illuminations activity and an Android app that are cataloged separately. | Game, Interactive Media, Mobile App Grade Level: 3, 4, 5 | |

In this NCTM Android app a user identifies equivalent fractions for a given random fraction or one of the player's own. The user creates their representations by dividing and shading either a square or circular region. The fractions are shown as locations on the number line and their equivalency is demonstrated when they are at the same point. The user has the ability to construct a table of equivalent fractions. This app is related to an Illuminations activity and an iOS app that are cataloged separately. | Game, Interactive Media, Mobile App Grade Level: 3, 4, 5 | |

In this four-day lesson students use several models to explore equivalent fractions and to compare proper fractions with denominators of values up to 12. It incorporates the book "The Hershey's Milk Chocolate Bar Fractions Book" by Jerry Pallotta. The 30-page pdf includes lists of materials, teacher instructions, printable activity sheets, assessments, and a game. | Activity, Lesson Plans Grade Level: 3, 4, 5 | |

In this Cyberchase activity the Cybersquad must compare fractions with unlike denominators. Students try the activity before seeing the Cybersquads solution of dividing sections to make equal denominators; students can compare their solutions with the Cybersquad's solution. The activity includes one short video, a student worksheet, and two assessment options. | Activity, Lesson Plans, Video Grade Level: 3, 4, 5 | |

In this math investigation students must determine how two people can share the food items for a picnic equally. The problem involves dividing whole numbers by two and using fractions to divide items equally. The problem is accompanied by a Teachers' Resource page that includes suggestions for approaching the problem, questions, extension ideas, and tips for support. | Activity Grade Level: 3, 4, 5 | |

In this application students determine the location of Grampy when given the denominator of the fraction and his general location behind the hedge (number line). Students input the expected numerator for Grampy's location. Directions are included beneath the activity. This resource is part of Visual Fractions which is cataloged separately. | Activity, Interactive Media Grade Level: 3, 4, 5 | |

This interactive Flash game challenges students to specify a location as a fractional part of a unit segment. Grampy hides (partially) behind a hedge, and the student enters the numerator and denominator of a lowest terms fraction that locates him. Instructions are provided below the applet; practice with renaming fractions and an easier version of the game are found elsewhere at the site. | Activity, Interactive Media Grade Level: 3, 4, 5 | |

This is a sample PARCC assessment task based on CCSS grade 3 fraction standards. In this interactive three-part task students reason about fractions used to represent area or a location on a number line. Included are the alignments to the CCSS, a scoring rubric, and background on the task itself. | Assessment, Problem Set, Reference Materials Grade Level: 3 | |

This virtual manipulative is a Java applet that allows students to explore concepts in whole number operations and fractions, just as they would with a physical manipulative such as Cuisinaire Rods. The user can add bars of length 1 to 10 to the workspace, change their color, and move, duplicate, or remove them. Instructions for using the applet and teaching ideas for parents/teachers are available through the links at the top of the page. | Activity Grade Level: K, 1, 2, 3, 4, 5, 6+ |