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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Resource | Resource Type Grade Level | Rating |
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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 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 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 interactive game provides an opportunity for students to think about how fractions are related to a unit whole, compare fractional parts of a whole, and find equivalent fractions. Players move markers a total distance that is less than or equal to the random target fraction, along their choice of seven parallel number line tracks, which are divided into different fractional parts. The goal is to move each of the seven markers to the right side of the game board using as few fraction target cards as possible. Instructions and exploration questions are included. | Activity, Game, Interactive Media Grade Level: 3, 4, 5 | |

This FAQ page from the Teacher2Teacher service at The Math Forum @ Drexel contains many suggestions for learning about fractions. It includes ideas contributed by T2T Associates and teacher participants. There are links to Ask Dr. Math resources, children's literature connections, and outside websites with related resources. | Instructional Strategy, Reference Materials, Community Grade Level: 3, 4, 5, 6+ | |

This interactive Flash applet gives students practice in ordering fractions and matching equivalent fractions. Each round displays a 0-1 number line with increments of a specific denominator labeled. Monkeys holding fraction cards appear one at a time; users hang them on rings on the number line to match the labeled fractions, or their equivalents. Denominators increase through each successive round and range from 1/4s to 1/16s. Versions for iPad and iPhone are available in the iTunes AppStore. | Activity, Interactive Media Grade Level: 3, 4, 5 | |

This interactive applet provides a visual model to help students compare fractions and understand equivalent fractions. The applet displays eight fraction tracks (unit number lines) divided into fractional increments from halves to twelfths. The user turns over cards displaying fractions and moves sliders on the tracks a distance equal to or less than the target fractions. The goal is to move all the sliders to the end of each fraction track in the least number of moves. | Activity, Interactive Media Grade Level: 3, 4, 5 | |

This 17:29 minute video from the classic Annenberg Learner series illustrates the practice standard of communication about mathematics among a teacher and her students as they learn and play the "fraction tracks" game. The video also shows how activities like this allow students to use communication as a tool to deepen their understanding of mathematics. Three analysis questions are given at the end of the video to promote dialogue among teachers of mathematics. | Demonstration, Game, Instructional Strategy, Video Grade Level: 3, 4, 5 | |

This lesson fosters a student's conceptual fraction sense with proper fractions, improper fractions, and mixed numbers by placing thirty fraction cards in order between given whole numbers on a number line clothesline. Users will visually identify that all proper fractions are grouped between zero and one, and that improper fractions or mixed numbers are all grouped above one. Users also play an estimation game with groups using the same principle. Instructional plan, questions for the students, assessment options, extensions, and teacher reflections are given. | Activity, Lesson Plans Grade Level: 3, 4, 5, 6+ | |

In this collection of 13 interactive Flash applets learners can check their understanding of various fraction concepts, including comparison to 1/2, location on the number line, equivalent fractions, and simplest form. Activities for the learners include sorting, labeling, constructing diagrams, and converting improper fractions. Displays are suitable for classroom demonstrations. | Activity, Interactive Media Grade Level: 3, 4, 5 |