Number and Operations—Fractions

Develop understanding of fractions as numbers.

2. Understand a fraction as a number on the number line; represent fractions on a number line diagram.

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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 | |

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 informative webpage, teachers are given ideas on how to test what their students know about fractions on a number line, as well as some easy ideas to get students comfortable with placing fractions on a number line. There is a 2:50 minute video explaining how to place fractions on a number line. Two printable practice sheets are available in PDF format. | Instructional Strategy, Lecture/Presentation, Video 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 application students determine the fractional value that is represented on the number line. Students use the number line to determine both the numerator and the denominator of the fraction. Beneath the application is a detailed explanation of the parts of a fraction; students may also receive an explanation by clicking on the "Explain" button. This resource is part of the Visual Fractions website which is cataloged separately. | Activity, Interactive Media Grade Level: 3, 4, 5 | |

Teachers can use this interactive tool to help students build a conceptual understanding of fractions by linking visual models to numeric representations. Students learn about equal parts of a whole (denominators) and shaded parts (numerators). This page includes a video demonstration of the tool and sample lessons from the Conceptua curriculum. Free registration is required to use the tool. A paid subscription is necessary to access full curriculum and allow full student use. | Activity, Demonstration, Interactive Media, Video Grade Level: 2, 3, 4, 5 Resource is part of a PD collection | |

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+ | |

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. Included are the alignments to the CCSS, a scoring rubric, and background on the task itself. | Assessment, Problem Set, Reference Materials Grade Level: 3 |