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 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 while the fraction is being 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 | |

This interactive Java applet presents an array of common fractions sometimes referred to as a wall. Fractions less than one with denominators from 2 through 16 are placed to scale horizontally. The learner then moves a mouse to highlight equivalent sets of fractions vertically. Links to related topics are included. | Activity, Interactive Media Grade Level: 3, 4, 5 | |

This interactive applet provides students practice with making equivalent fractions and comparing fractions. Students are given two fractions with unlike denominators. Users first rewrite the fractions using the least common denominator, and then use the visual models and number line to identify a fraction between the two given fractions. | Activity, Interactive Media Grade Level: 3, 4, 5 | |

In this interactive game students are given a fraction to match to the equivalent fraction models that rotate around the screen. There are five levels of difficulty and each level has two modes, relaxed (ten problems, untimed) or timed(answer quickly and it increases your score). The goal is to get as many correct as possible. | Game, Interactive Media Grade Level: 3, 4, 5 | |

In this four-day lesson students use several models to explore equivalent fractions and to compare proper fractions with denominators of values up to 12. It incorporates the book "The Hershey's Milk Chocolate Bar Fractions Book" by Jerry Pallotta. The 30-page pdf includes lists of materials, teacher instructions, printable activity sheets, assessments, and a game. | Activity, Lesson Plans Grade Level: 3, 4, 5 | |

In this Cyberchase activity the Cybersquad must compare fractions with unlike denominators. Students try the activity before seeing the Cybersquads solution of dividing sections to make equal denominators; students can compare their solutions with the Cybersquad's solution. The activity includes one short video, a student worksheet, and two assessment options. | Activity, Lesson Plans, Video Grade Level: 3, 4, 5 | |

Teachers can use this interactive tool to help students develop fraction sense. After a teacher places a fraction, decimal, or expression on the screen, students determine which given benchmark number it is closest to. An adjustable number line supports conceptual understanding. 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 article explains several strategies for comparing fractions. It includes a Java applet that displays three fractions in a row for practice with these strategies. Modify the numerator or denominator of the middle one by clicking just to the left (decrease) or right (increase) of its center line so that it forms a valid inequality: either equal to or greater than the fraction to its left, and either equal to or less than the one to its right. The applet includes buttons to "Use common denominator" and "simplify." | Instructional Strategy, Interactive Media, Reference Materials, Article 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+ |