Number Representations

Added on 9/24/2008

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In this activity, students will explore the relationship between fractions, decimals, and percents. They will learn to use the calculator to convert between the different representations and then order them from least to greatest on a number line. Students will also work with tables and circle graphs.
 
Students will first convert a fraction to its equivalent decimal using the key. To do this, they need to follow the directions on the worksheet, entering the numerator, the fraction key, the denominator, then conversion key. In the example to the right the key press is    .
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A decimal is converted to its equivalent fraction using the same conversion key. Students are to enter the decimal, with or without the leading zero, into the calculator and then press they conversion key.
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Students can convert a decimal to a percent by multiplying the decimal by 100.  They need to enter the decimal into the calculator, with or without the leading zero, multiply by 100 and then press enter. The screenshot to the right shows how 0.23 is converted to 23%.
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Discuss with students about how they can convert a fraction to a percent. They will need to combine two of the steps used in this first problem; converting first to a decimal and then multiplying the decimal by 100. 
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Students explore the relationship between mixed numbers, decimals, and percents. They can enter a mixed number into the calculator by typing in the whole number, pressing "Unit," typing the numerator, arrow down to the bottom, and typing the denominator.
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A mixed number can be changed to an improper fraction, converted to a decimal, and then converted to a percent. 
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Students are to use what they’ve learned in the previous steps to convert all three numbers to the same form, a decimal.  The percent can be changed to a decimal using the "percent" key.
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Students explore the relationship between fractions, decimals, and percents by collecting data from a pictorial model of rectangles with different shading. They are to complete a chart expressing the parts of the model as fractions, decimals, and percents.

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The data collected in the table can now be displayed in a circle graph. To do this, students will need to enter two lists into the calculator, one for the categories and one for the data.
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Then students will set up Plot1 for the necessary circle graph settings. An example of a circle graph with data expressed as percents is shown in the screenshot.
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