Common Core State Standards for Mathematics

Grade(s) 3 resources related to the following standard:
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.
d. Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

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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
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
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
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
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
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+