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 60-page pdf document demonstrates the connections between the CCSS content standards and the mathematical practice standards. It is a compilation of research, standards from several states, instructional strategies, common misconceptions, and examples for each standard at the grade 3 level. It is intended to help teachers understand what each standard means in terms of what students must know and be able to do. Additional flip books are cataloged separately for grades K-2 and 4-5. | Instructional Strategy, Reference Materials Grade Level: 3 | |

This web page provides links to resources aligned to the CCSS that guide and support third grade mathematics teaching and learning. Tasks developed by the Mathematics Assessment Resource Service (MARS) and Problems of the Month, (POM home page is cataloged separately) developed by the Noyce Foundation are included. The tasks were designed to measure students’ ability to solve non-routine problems, explain and justify their solutions, and promote high level thinking skills. They include the scoring rubric, student responses, and discussion of student understanding and misconceptions. Resources are listed for specific grade 3 standards and are also organized by progression for an alternate search route. | Instructional Strategy, Problem Set, Reference Materials Grade Level: 3 | |

This webpage for math students and their teachers offers a searchable archive of questions and answers about fractions and decimals at the elementary level. Equivalent fractions, common denominators, all four operations, fraction and decimal conversions, and other topics are included. | Community Grade Level: 3, 4, 5 | |

In this problem students explore the concept of proportion by comparing the relative strengths of different mixes of juice flavor and water in a visual context. Given four mixtures represented by purple and white rectangles, students order the drinks from strongest to weakest flavor and explain their reasoning. The Teachers' Notes page offers suggestions for implementation, discussion questions, and ideas for extension and support. | Activity Grade Level: 3, 4, 5, 6+ | |

This 22 slide interactive module provides details and examples to support the progression of the CCSS Fraction Standards for grades 1-8. Throughout the module are active links to the standards, a glossary, and examples and solutions. | Reference Materials, Voice Recording Grade Level: 1, 2, 3, 4, 5, 6+ | |

This four-part E-Example from Principles and Standards for School Mathematics of the NCTM standards highlights how mathematical games can foster mathematical communication as students explain and justify their moves to one another in a fraction game. In addition, a video is included that demonstrates students engaged in thinking about and applying their mathematical concepts and skills. The game "Playing Fraction Tracks" is cataloged separately. | Activity, Game, Interactive Media Grade Level: 3, 4, 5 Resource is part of a PD collection | |

In this 7-minute video, users learn how to compare and order fractions. The video shows visual representations and guides the learner through steps for comparing and ordering like-denominator fractions, unit fractions, and fractions with unlike denominators (by using equivalent fractions). | Tutorial, Video Grade Level: 3, 4, 5 | |

Teachers can use this interactive tool to help students build a conceptual understanding of fractions by comparing and ordering numeric representations, or comparing fractions using symbols (>, < or =). 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: 3, 4, 5 | |

This web page contains four Flash applets that help students develop fraction concepts. In the three demonstrations, users can adjust the numerators and denominators of two fractions to compare them or to create two equivalent fractions, represented visually by either fraction bars or circles or by both. A game applet challenges the student to create a fraction equivalent to a given fraction and provides a check. The applets lend themselves well to classroom discussions with interactive white boards. | Activity, Interactive Media Grade Level: 3, 4, 5 | |

This interactive Java applet helps users explore equivalent fractions through partitioning circles and squares. The applet provides a random fraction and the user creates one or two equivalent representations of that fraction by partitioning and coloring a square (or circle). The applet also plots the fraction on a number line and points from the shape to the number line displaying its equivalent value after the fraction is built. Options include choice of circles or squares, one or two equivalent fractions, and a scoring feature allows users to keep track of the number correct. | Activity, Interactive Media Grade Level: 2, 3, 4, 5 |