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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Resource | Resource Type Grade Level | Rating |
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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 | |

Using this interactive fraction number line, students can identify and locate equivalent fractions as well as compare fractions. They can move the mouse to the left or right and "mark" fractions on the number line. A section called "Which is Larger?" provides examples of fraction pairs to compare. | Activity, Interactive Media Grade Level: 3, 4, 5 | |

This interactive Flash applet displays eight fraction strips (bars, ribbons) of unit length. Denominators range from halves to twelfths. Segments of each bar can be dragged and dropped for close comparisons. | Activity, Interactive Media, Tools 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+ | |

This problem with multiple solutions is an opportunity for students to practice finding equivalent fractions using a visual fraction bar model. The goal is for the student to develop a deep understanding of equivalent fractions using the model in order to determine a rule for finding equivalent fractions without a model. A Teacher's Note page, hints, possible solutions, and a printable page are provided. | Activity Grade Level: 3, 4, 5 | |

This interactive Flash applet can be used to compare and explore equivalence among fractions, decimals and percentages. It allows a child or teacher to represent fractions on one or more fraction strips, and to color individual parts. Each displayed strip can be labelled as a fraction, a decimal (to three decimal places) or a percentage; the ratio of yellow to green parts of each strip can also be displayed. It lends itself well to use with an interactive white board. A pdf guide to this collection of teaching applets is cataloged separately. | Activity, Interactive Media Grade Level: 2, 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 | |

This downloadable Java applet allows students to experiment with fractions by building and displaying fractions in the "Intro" tab. Students may explore the "Build a Fraction", "Equality Lab", and "Matching Game" tabs for more directed simulations. The website includes a teacher's guide (PDF) for suggested user tips. | Activity, Interactive Media Grade Level: 2, 3, 4 |