## Common Core State Standards for Mathematics

Grade(s) 4 resources related to the following standard:
Number and Operations—Fractions
Extend understanding of fraction equivalence and ordering.
2. Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

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This interactive Java applet provides students with practice in subtraction and pattern recognition. Starting with four numbers in the corners of an outside square, students find the differences (larger minus the smaller) between the pair of numbers on each side of the square. After correctly completing each square, they repeat the process for the next inner square, until all squares are complete. Students can explore the patterns that emerge as they work toward the center square. Users can choose to work with whole numbers, integers, fractions, decimals, or money. They may also create their own problems by selecting the four starting numbers for the outside square.
Activity, Game, Interactive Media
Grade Level: 1, 2, 3, 4, 5
This web page contains four Flash applets that help students develop fraction concepts. In the three demonstrations, users can adjust the numerators and denominators of two fractions to compare them or to create two equivalent fractions, represented visually by either fraction bars or circles or by both. A game applet challenges the student to create a fraction equivalent to a given fraction and provides a check. The applets lend themselves well to classroom discussions with interactive white boards.
Activity, Interactive Media
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 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
In this interactive game, students collect cards as they journey through the maze of a house (Fraction Manor), avoiding monsters. With each level they complete, they are presented with a math puzzle: given a series of digits, arrange them into fractions in a given order. Some fractions may already be given. Puzzles increase in difficulty with each level.
Game
Grade Level: 3, 4, 5, 6+