Number and Operations—Fractions

Develop understanding of fractions as numbers.

2. Understand a fraction as a number on the number line; represent fractions on a number line diagram.

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This 60-page pdf document demonstrates the connections between the CCSS content standards and the mathematical practice standards. It is a compilation of research, standards from several states, instructional strategies, common misconceptions, and examples for each standard at the grade 3 level. It is intended to help teachers understand what each standard means in terms of what students must know and be able to do. Additional flip books are cataloged separately for grades K-2 and 4-5. | Instructional Strategy, Reference Materials Grade Level: 3 | |

This webpage for math students and their teachers offers a searchable archive of questions and answers about fractions and decimals at the elementary level. Equivalent fractions, common denominators, all four operations, fraction and decimal conversions, and other topics are included. | Community Grade Level: 3, 4, 5 | |

In this Flash game students estimate the location of fractions, whole numbers, and decimals on a number line. The game requires students to place a target on the estimated position of the ship from the value given. Students choose fractions, whole numbers, decimals, or a mixture and after passing the first level are prompted to choose their next level of play. | Game Grade Level: 3, 4, 5 | |

In this interactive game, students build bridges using fractional lengths in the form of fraction bars. Gap length may be known or unknown, entirely empty or partially filled. Fractions to fill the gap must be constructed in specific ways, using the four basic operations. After five tries at one level, the game resets. Note that the game sometimes expects particular answers: students may need to multiply 2/5 by 3 rather than multiplying 3/5 by 2, for example, even though both computations would produce the same result. | Game Grade Level: 3, 4, 5 | |

This 22 slide interactive module provides details and examples to support the progression of the CCSS Fraction Standards for grades 1-8. Throughout the module are active links to the standards, a glossary, and examples and solutions. | Reference Materials, Voice Recording Grade Level: 1, 2, 3, 4, 5, 6+ | |

This four-part E-Example from Principles and Standards for School Mathematics of the NCTM standards highlights how mathematical games can foster mathematical communication as students explain and justify their moves to one another in a fraction game. In addition, a video is included that demonstrates students engaged in thinking about and applying their mathematical concepts and skills. The game "Playing Fraction Tracks" is cataloged separately. | Activity, Game, Interactive Media Grade Level: 3, 4, 5 Resource is part of a PD collection | |

This brief article discusses the Count the Beat project, which incorporates music into math instruction. The instructors in this project began each lesson with a brief math exercise followed by a more in-depth music task utilizing number lines, fractions, ratios, and/or probability. While music professionals carried out this project the article does offer some suggestions for application in the math classroom without music professional. | Activity, Reference Materials, Article Grade Level: 3, 4, 5 | |

In this game students must create a fraction from a set of digits and then estimate its location on a number line. Students play against the computer or, with free registration, against an opponent. The object is to indicate where an excavator digs for gems and thus earn points. Additional information for educators and parents and instructions for the game are included. | Game Grade Level: 3, 4, 5 | |

This interactive applet provides students practice with making equivalent fractions and comparing fractions. Students are given two fractions with unlike denominators. Users first rewrite the fractions using the least common denominator, and then use the visual models and number line to identify a fraction between the two given fractions. | 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 |