Our evaluation this week will concentrate on fractions, decimals, and percents. The class has practiced finding equivalent fractions (and ratios). Much of this evaluation will require students to be able to find percents and decimals if given a fraction, decimals and fractions if given a percent, or fractions and percents if given a decimal. They will also be required to put various numbers in order when the numbers are given as a combination of fractions, decimals, and percents. I have noticed the students are already in the habit of changing fractions into decimals so that they can compare values more easily.
Equivalent fractions and ratios are found in much the same way, by multiplying or dividing each part of the ratio by the same number (Ex: the ratio 8:10 can be divided by 2 to find an equivalent ratio of 4:5 OR it could be multiplied by 2 to find an equivalent ratio of 16:20). Now, to find equivalents between fractions, decimals and percents (which all give the same basic numerical information, as we have discovered). A fraction is really a division problem 2/5, or 2 divided by 5. 2 divided by 5 is 0.4, a decimal! The decimal 0.4 = 0.40, which is 40/100. Today we made the connection that 0.40 = 40%, it's just a matter of moving the decimal point two places to the right. So 2/5 = 0.4 = 40%. If I don't have time to upload specific 'how to' instructions, the I have indicated which lessons (and they are pink almost all the time) and what homework (usually white sheets) will help them study.
I think the explanations are pretty clear here in the picture. The top relates to yesterday's explanation. The only thing I did not cover in the picture was absolute value. Absolute value is basically asking a number how far it is from zero. It is never a negative answer to that question. So the absolute value of 3 is 3. The absolute value of -3 is also 3. I3I=3 AND I-3I=3
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September 2015
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