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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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 | |

Teachers can use this interactive tool to help students make sense of equivalent fractions by linking visual models to words and procedures. Students learn the value of multiplying a fraction by a fraction with a value of one. 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 | |

This iOS app ($) provides students with practice and reinforcement of fraction concepts in a solitaire context. Users try to clear a board by matching cards displaying equivalent visual and numeric representations of fractions, while getting feedback and scoring points for accuracy. A tutorial with voice explains how to play. | Activity, Game, Interactive Media, Mobile App 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 | |

Students can use this Shockwave applet to learn basic probability concepts and to apply fraction and decimal skills. In Level 1 a number of fish are seen in a tank and users express the probability of catching a red fish as a fraction. In Level 2 the required probability is given as a fraction, and users move more fish into the tank to produce this probability. Level 3 is similar to level 2 but involves a wider range of fractions and some decimals. The Key Ideas page provides background in basic probability concepts. A set of student activity printouts (Probability) is available for further practice. | Activity, Game, Interactive Media Grade Level: 4, 5, 6+ | |

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 iOS app contains 12 computer animated videos on understanding fractions, improper fractions & mixed fractions, equivalent fractions, adding fractions, adding fractions examples, subtracting fractions, multiplying fractions. Each video presents important vocabulary and concepts, there is a table of contents, and an option to skip to later lessons. | Interactive Media, Lesson Plans, Mobile App, Video Grade Level: 3, 4, 5, 6+ | |

This article explains several strategies for comparing fractions. It includes a Java applet that displays three fractions in a row for practice with these strategies. Modify the numerator or denominator of the middle one by clicking just to the left (decrease) or right (increase) of its center line so that it forms a valid inequality: either equal to or greater than the fraction to its left, and either equal to or less than the one to its right. The applet includes buttons to "Use common denominator" and "simplify." | Instructional Strategy, Interactive Media, Reference Materials, Article Grade Level: 3, 4, 5, 6+ | |

In this interactive game from NCTM's Calculation Nation, players try to create fractions that are either larger or smaller than their opponents' fractions. Each player begins with twelve cards and can only use them once in each round of play. Players can play against another player or against the computer. A fraction bar chart is available to help students compare fractions. | Activity, Game, Interactive Media Grade Level: 3, 4, 5 | |

In this lesson plan students use fraction bars to explore and compare the sizes of fractions. The lesson includes an activity sheet, answer key, guiding questions and prompts, assessment options and extensions, and a link to Fraction Feud, an interactive game (cataloged separately and listed as a related resource). | Assessment, Activity, Interactive Media Grade Level: 3, 4, 5 |