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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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 | |

Students use this Java applet to explore pieces representing fractional portions of a circle or square. This virtual manipulative can be used to explore patterns and symmetry with young children, or to develop fluency in fraction operations and equivalency in older students. Instructions for using the applet and teaching ideas for parents/teachers are available through the links at the top of the page. | Activity, Interactive Media Grade Level: K, 1, 2, 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 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 problem students use a visual representation of fractions to compare fractions. Students are given two fractions and using the fraction wall they must compare them and find the difference between them. A Teacher's Notes page, hints, solutions, and printable pages are provided. The goal of this problem is for students to compare the two fractions given by using the visual fraction wall or their knowledge of equivalent fractions and subtracting fractions. | Activity Grade Level: 3, 4, 5 | |

This is a sample PARCC assessment task based on CCSS grade 3 fraction standards. In this interactive five-part task students reason about fractions used to represent part of a whole or a location on a number line, compare fractions with and without models, and construct arguments to defend their decisions. 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 set of interactive activities for students introduces early fractions concepts. Students name the parts needed to divide a pizza, fill in a fraction wall with fraction bars, name a shaded fraction, arrange fractions on a number line, and subtract fractions from a whole using different denominators. The main page links to support materials for teachers: practice problems and exposition material. | Activity, Lecture/Presentation, Problem Set Grade Level: 2, 3, 4, 5 |