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Really understanding what fractions are, how they fit on the number line, and how to operate with them-add, subtract, multiply, divide-is central to learning decimals and percentages. According to the NCTM Principles and Standards, students in the middle grades should be expected to acquire a deeper understanding of fractions, decimals, and percents and an increased flexibility in using them to solve problems. Yet students may reach even the higher grades of middle school without a firm grasp of fractions. Perhaps a change in strategy could help? Lets offer compelling visuals and hands-on manipulation of those fractured numbers!

Summary

Subject keyword(s)Arithmetic, Education, Fractions, Mathematics, Number and operations, Percent, Process skills, Ratio and proportion, Visualization
Grade levelMiddle School, Informal Education, Vocational/Professional Development Education
Intended audienceEducator, Learner
Resource typeInstructional Material
Resource formattext, text/html
RightsCopyright June 2006 - The Ohio State University.

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MSP2: Math and Science Pathways

Content contained within the resource

Home Math Pathway Science Pathway Project Partners Search Entire Site Math Pathway Science Pathway for Quick Take on ... Action with Fractions! Really understanding what fractions are, how they fit on the number line, and how to operate with them-add, subtract, multiply, divide-is central to learning decimals and percentages. According to the NCTM Principles and Standards, students in the middle grades should be expected to acquire a deeper understanding of fractions, decimals, and percents and an increased flexibility in using them to solve problems. Yet students may reach even the higher grades of middle school without a firm grasp of fractions. Perhaps a change in strategy could help? Let's offer compelling visuals and hands-on manipulation of those fractured numbers! Visual Fractions,br/> http://www.visualfractions.com/index.htm A thorough tutorial on the topic—from identifying and comparing fractions to operations with them! Students work through interactive exercises and games. A complete step-by-step, illustrated explanation of each subtopic is included. Don't miss the game of Finding Grampy, where students practice finding a mixed number in lowest terms as they look for Grampy on the number line.   Fraction Sorter http://www.shodor.org/interactivate/activities/fracsorter/index.html Using this online manipulative, students represent two to four fractions—such as 7/13, 2/7, 8/9, and 2/3—by dividing and shading areas of squares or circles. They then order the fractions from smallest to largest on a number line. The visual representation here is powerful.   National Library of Virtual Manipulatives http://matti.usu.edu/nlvm/nav/index.html Under the middle school offerings, you will find the activity Adding Fractions. Students must do the usual exercise of finding equivalent fractions with common denominators, but here the fractions are represented visually as portions of a square. Once the computer checks that the fractions are correct, the students can drag the representations into a third box and enter the sum of the fractions. This is a learning experience! There are other activities on fractions as well, all worth checking out.   The Maths File Game Show http://www.bbc.co.uk/education/mathsfile/index.shtml This BBC site offers a game that requires players to match fractions with equivalent decimals or percentages, Go to Saloon Snap. When a question is answered correctly, the player can move his or her piece across the board. The goal is to be the first to create a path across a 10-by-10 grid. It's a real math exercise and it's motivating!   About | Funded by NSF | Contact This work is licensed under a Creative Commons Attribution-Share Alike 3.0 Unported License.