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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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 fraction game (Java) enables students to find matching fractions using numbers and pictures, to match fractions in different picture patterns, and to compare fractions using numbers and patterns. Included in this website are the interactive simulation, lesson plan in PDF or docx, student instruction sheet in PDF or docx, and a progress tracker in PDF or xlsx. | Interactive Media, Lesson Plans 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 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 | |

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 | |

In this five lesson unit with overview from Illuminations, student activities explore relationships among fractions through work with the length model. Students construct fraction strips and use fraction bars throughout the unit to make sense of basic fraction concepts, to compare fractions and order fractions and to work with equivalency in fractions. Specific learning objectives, a material list, an instructional plan, questions for the students, assessment options, extensions, and teacher reflections are given for each lesson. | Lesson Plans Grade Level: 3, 4, 5 | |

This unit from Illuminations consists of five lessons designed to help students understand fractions when they are represented as a part of a region. Learners investigate relationships between parts and wholes, the relative value of the fraction based on the pattern block shape and equivalency while working with physical and/or virtual pattern blocks. Instructional plan, questions for the students, assessment options, extensions, and teacher reflections are given for each lesson. | Activity, Interactive Media, Lesson Plans Grade Level: 3, 4, 5 | |

In this lesson plan from Illuminations, students use relationship rods to explore fraction relationships. Relationship rods range in length from one to ten centimeters, and each rod is a different color. An activity sheet with solutions, questions for students, assessment options, and suggested extension activities are included. The lesson plan is part of a five lesson plan unit, Fun with Fractions, which is cataloged separately. | Activity, Lesson Plans Grade Level: 3, 4, 5, 6+ Resource is part of a PD collection | |

This document provides descriptions and examples of what each Mathematics Common Core standard means a Grade Three student will know, understand and be able to do. This "unpacking" of the standards provides instructional guidelines and was developed to assist North Carolina educators teach the Mathematics Common Core (Standard Course of Study). | Reference Materials Grade Level: 3 | |

In these pattern block activities, students explore geometric models of fractions to discover relations among them, reinforcing their concepts of fractions and providing a visual model for fraction operations. Lessons can be worked on paper or using a pattern block applet. Teacher notes are included. | Activity, Problem Set Grade Level: 3, 4, 5, 6+ |