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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The resource booklet contains pattern block activities for grades 3-5. The activities cover a range of math topics including fractions, symmetry, and angles. Each activity includes a list of standards, resources needed, and suggestions for implementation. The resource booklet includes activity sheets and vocabulary cards. | Activity, Game, Instructor Guide/Manual Grade Level: 3, 4, 5 | |

Teachers can use this interactive tool to help students build a conceptual understanding of the value of fractions by placing numbers, visual models, and decimals on a number line. Students learn that every fraction and decimal describes a specific value. 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, 6+ | |

This interactive game, similar to "Fraction Game" (catalogued separately) allows two students an opportunity to think about how fractions are related to a unit whole, compare fractional parts of a whole, and find equivalent fractions. Two players move markers a total distance (forwards and backwards directions) that equals the random target fraction box, along their choice of seven parallel number line tracks, which are divided into different fractional parts. The goal is to move each of the seven markers to the right side of the game board before your opponent does. Instructions and discussion questions are given. | Activity, Game, Interactive Media Grade Level: 3, 4, 5 Resource is part of a PD collection | |

This progressions document from the Common Core Standards Writing team explains how fractions are incorporated in the standards from third grade through fifth grade. Each grade level includes an explanation, important vocabulary, and illustrations. | Instructional Strategy, Reference Materials Grade Level: 3, 4, 5 | |

Twenty-eight lesson plans make up this research-based fourth and fifth grade fraction curriculum. It includes a teacher guide with theoretical framework and instructions and templates for making manipulatives. The Rational Number Project is an NSF-funded multi-university research project, and originally published this series of lessons in 1997 as "Fraction Lessons for the Middle Grades Level 1". This is an updated version, aligned to NCTM Standards for 2000. | Instructor Guide/Manual, Lesson Plans Grade Level: 4, 5, 6+ | |

In this formative assessment lesson (PDF) students learn to represent fractions on a number line. This multi-part lesson is based upon a story problem involving six friends swimming a 1-mile race in a lake. Included in the lesson is a pre-assessment, two versions of the lesson task, an assessment, and suggested feedback based on student errors. | Assessment, Activity, Lesson Plans Grade Level: 3 | |

This problem allows students an opportunity to think about fraction comparisons and equivalencies in a different way using interactive rods. Students are given two different fraction rods of unknown lengths and the goal is to find out what fraction the shorter rod is of the longer rod. A Teacher's Notes page, hints, solution, and printable pages are provided. | Activity, Interactive Media Grade Level: 3, 4, 5 | |

This fraction game from GregTangMath.com provides users with challenges in mental reasoning about identifying, simplifying, comparing, and calculating with fractions. Players choose which skill they would like to focus on, then pick the operation or level within that skill. The game keeps track of how long it takes the player to complete the specified number of trials accurately. | Game Grade Level: 3, 4, 5 | |

This 88-page document addresses the meaning of the Common Core State Standards for teaching fractions in grades 3-7. For each grade level the specific standards that are addressed are listed, followed by a detailed explanation of what the standards mean, including visual models, and any misconceptions teachers or students might have about how specific standards apply to fractions in the CCSS. | Instructional Strategy, Reference Materials, Article Grade Level: 3, 4, 5, 6+ | |

This four-page article describes four basic approaches children use in understanding fractions as equal parts of a whole. Topics covered include working with equal shares, partitioning regions and units, understanding of fraction equivalence, and ideas for teaching fractions more effectively. References are given. | Reference Materials, Article Grade Level: 1, 2, 3, 4, 5 Resource is part of a PD collection |