Number and Operations—Fractions

Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.

3. Understand a fraction a/b with a > 1 as a sum of fractions 1/b.

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This iOS app contains 12 computer animated videos on understanding fractions, improper fractions & mixed fractions, equivalent fractions, adding fractions, adding fractions examples, subtracting fractions, multiplying fractions. Each video presents important vocabulary and concepts, there is a table of contents, and an option to skip to later lessons. | Interactive Media, Lesson Plans, Mobile App, Video Grade Level: 3, 4, 5, 6+ | |

This interactive game provides an opportunity for students to think about how fractions are related to a unit whole, compare fractional parts of a whole, and find equivalent fractions. Players move markers a total distance that is less than or equal to the random target fraction, 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 using as few fraction target cards as possible. Instructions and exploration questions are included. | Activity, Game, Interactive Media Grade Level: 3, 4, 5 | |

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+ | |

Using this interactive fraction number line, students can identify and locate equivalent fractions as well as compare fractions. They can move the mouse to the left or right and "mark" fractions on the number line. A section called "Which is Larger?" provides examples of fraction pairs to compare. | Activity, Interactive Media Grade Level: 3, 4, 5 | |

Students use this Java applet to explore pieces representing fractional portions of a circle or square. This virtual manipulative can be used to explore patterns and symmetry with young children, or to develop fluency in fraction operations and equivalency in older students. Instructions for using the applet and teaching ideas for parents/teachers are available through the links at the top of the page. | Activity, Interactive Media Grade Level: K, 1, 2, 3, 4, 5 | |

This interactive applet provides a visual model to help students compare fractions and understand equivalent fractions. The applet displays eight fraction tracks (unit number lines) divided into fractional increments from halves to twelfths. The user turns over cards displaying fractions and moves sliders on the tracks a distance equal to or less than the target fractions. The goal is to move all the sliders to the end of each fraction track in the least number of moves. | Activity, Interactive Media Grade Level: 3, 4, 5 | |

This 17:29 minute video from the classic Annenberg Learner series illustrates the practice standard of communication about mathematics among a teacher and her students as they learn and play the "fraction tracks" game. The video also shows how activities like this allow students to use communication as a tool to deepen their understanding of mathematics. Three analysis questions are given at the end of the video to promote dialogue among teachers of mathematics. | Demonstration, Game, Instructional Strategy, Video 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 blog entry details the importance of hands on learning in creating a productive classroom environment. Included in this blog is the lesson plan and worksheets for the AIMS activity Jelly Belly(R). In the lesson plan students collect, display, and analyze data using a circle graph. | Lesson Plans, Community Grade Level: 3, 4, 5 | |

In this lesson plan, students use recipes to investigate how to add two fractions with like denominators to produce improper fractions and then interpret the meaning of the result by converting improper fractions to mixed numbers and finally mixed numbers back to improper fractions. Included are two Cyberchase video clips (Crumpets Recipe and Reclaiming the Power), three worksheets, and two assessments as well as an answer key. | Activity, Lesson Plans, Video Grade Level: 4, 5, 6+ |