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 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 open-ended problem requires students to use the pattern of triangles on the given figure to divide the square into halves, thirds, sixths, and ninths. The problem asks students to find the part of the whole that is squares or triangles and then determine how these shapes represent each fraction of the whole. Included with this problem are teacher notes with suggestions for introducing the problem, discussion questions, support suggestions, and a printable version of the square. | Activity Grade Level: 3, 4, 5 | |

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 | |

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 |