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 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+ | |

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 Flash applet displays eight fraction strips (bars, ribbons) of unit length. Denominators range from halves to twelfths. Segments of each bar can be dragged and dropped for close comparisons. | Activity, Interactive Media, Tools Grade Level: 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+ | |

These worksheets are intended to support the teaching and learning of fractions. Problem Solving Activities are problems to be solved; Fraction Wall includes one filled-in fraction wall and two blank walls; Slicing Shapes discusses making fractions by dividing shapes equally; What's the Fraction? offers practice in fraction recognition in non-standard shapes; and Numerators and Denominators discusses the parts of fractions and their names. | Activity, Lecture/Presentation, Problem Set, Graph Grade Level: 2, 3, 4, 5 | |

In this interactive game users are given fractions to add and they need to identify the fraction sum by picking the correct answer that rotates around the screen. There are three levels of difficulty (adding two fractions with like denominators, adding three fractions with like denominators, or adding two fractions with unlike denominators) and for each level you can decide whether you want to do relaxed mode (ten problems, untimed) or timed mode (answer quickly and it increases your score). The goal is to get as many correct as possible. | Game, Interactive Media Grade Level: 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 | |

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 |