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1.   Fraction Model:
Investigating rational numbers using a virtual manipulative

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	SREB Readiness Indicator Read, write, compare, order and represent in a variety of forms: integers, fractions, decimals, percents, and numbers written in scientific notation and exponential form, with and without technology. > Additional indicators
	Skills Master concepts related to rational numbers Use various forms of the same number Use models to show fractions, decimals, and percents
	Figure 1: Representation of a proper fraction (Click to test this tool) NCTM disclaimer

Overview

The NCTM Fraction Model (Figure 1) displays the decimal, percent, and graphic equivalency of a given fraction. Students use sliders to change the value of the numerator and denominator of the fraction and observe corresponding changes in the decimal, percent, and graphic representations. The Fraction Model displays three types of graphic representations - circle graphs, fraction bars, or sets, giving students the opportunity to view equivalencies in various kinds of models. It also displays both proper and improper (Figure 2) fractions so students can explore a broad range of rational numbers.

The Value of This Technology

The Fraction Model is a virtual manipulative. It facilitates the exploration of equivalencies by allowing students to fluidly experiment with ratio values and focus on the effect of independently altering the part or the whole in a rational number. The simultaneous and instantaneous updating of the multiple representations helps students compare the number forms and gain a sense of how each one represents bigger, smaller, and equivalent numbers.

Look in the Classroom

Mr. Hernandez knows that his students struggle when asked to compare and order groups of numbers in mixed forms....
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