Number and Operations—Fractions

Extend understanding of fraction equivalence and ordering.

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Resource | Resource Type Grade Level | Rating |
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This problem provides students an opportunity to find equivalent fractions and carry out some simple additions and subtractions of fractions in a context that may challenge and motivate students. Users need to download, print, and cut-out the fraction jigsaw. Then, they must arrange the square pieces right-side up so that the edges that touch contain equivalent fractions. The Teachers' Notes page offers rationale, suggestions for implementation, discussion questions, and ideas for extension and support. | Activity Grade Level: 4, 5 | |

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 | |

In this virtual manipulative, students are given two fractions with unlike denominators, and shapes divided into equal pieces that represent those fractions. Students find equivalent fractions with a common denominator by re-dividing those shapes. They then locate the equivalent fractions on a number line, and re-divide the number line to find fractions between the two they located. Instructions for using the applet and teaching ideas for parents/teachers are available through the links at the top of the page. | Activity Grade Level: 3, 4, 5 | |

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 | |

This activity requires students to study freeway exit signs and interpret the information presented by comparing distances and telling how far between exits. The activity includes four different exit signs, each including fractions, challenge questions as well as guiding questions to help students think about the real world application of these signs. The site includes a downloadable file for the signs and a PDF of the entire activity. | Activity Grade Level: 3, 4, 5 | |

In this lesson students learn the meaning of fractions as parts of a whole and parts of a set. They learn key vocabulary and how to compare and order fractions. The lesson links to an interactive game, Fraction Fun (catalogued separately), which gives practice in naming fractions, and to downloadable follow-up exercises (Word and pdf). | Activity, Interactive Media, Lesson Plans Grade Level: 3, 4, 5 | |

This interactive applet helps students develop fraction sense by comparing and ordering fractions and identifying equivalent fractions. In each of 8 progressive rounds students arrange 10 socks, each with a fraction displayed, onto a 0 - 1 number line by estimating their relative locations. The applet adjusts the position of each sock to be accurate; however, if the new sock has to pass a previously placed sock, the level ends and the player must start over. | Activity, Interactive Media Grade Level: 3, 4, 5, 6+ | |

In this lesson plan, students investigate ways to share different sized items between two people. Students are asked to find equivalent fractions on a number line and to order those fractions by size. Included are a video clip called Equal Amounts of Gold, two worksheets, and two assessments as well as an answer key. | Activity, Lesson Plans, Video Grade Level: 3, 4, 5, 6+ |