Comparing Fractions, Decimals, & Percents 

 

Objectives:

 Outcomes:

 Warm-Up:

  1. Try this self-check quiz on using percents.  Click here:  http://www.glencoe.com/sec/math/studytools/cgi-bin/msgQuiz.php4?isbn=1-57039-850-X&chapter=4&lesson=1 .  (Different each time)

  2. There are three numbers in every percent problem.  These are often given different names.  The “total” is also known as the “base” or the “original amount”.  The “rate” is also known as the “percent” or the “percentage”.  To check your understanding of percents, click here http://www.onlinecollegeprep.com/InteractiveArith/A12/A12Prev/A12Preview.html and complete the Chapter 12 Preview.  At this point you need to make a decision about your understanding of chapter 12 and proceed accordingly using the choices shown below.

  3.  For three quizzes on comparing decimals and percentages, click here http://www.bbc.co.uk/skillswise/numbers/fractiondecimalpercentage/comparing/decimalspercentages/quiz.shtml.  Begin with level A.  NOTE:  The British pound, ₤, is similar to the American dollar.  

  4. For three quizzes on comparing fractions and percentages, click here http://www.bbc.co.uk/skillswise/numbers/fractiondecimalpercentage/comparing/fractionspercentages/quiz.shtml.   Begin with level A. 

  5. Try this self-check quiz on finding a percent of a quantity Click here http://www.glencoe.com/sec/math/studytools/cgi-bin/msgQuiz.php4?isbn=1-57039-850-X&chapter=4&lesson=2.

New Instruction:

Meaning of Percents

  1. For instruction on the meaning of percents, click here:  http://www.free-ed.net/fr07/lfc/course070101_01/unit1201.htm 

  2. For more instruction on the meaning of percents, click here: http://www.mathgoodies.com/lessons/vol4/meaning_percent.html

 Decimal, Fraction, Percent Conversions

 

  1. For instruction on decimal and percent conversions, click here http://www.free-ed.net/fr07/lfc/course070101_01/unit1202.htm

  1. For more instruction on writing a percent as a decimal, click here: http://www.mathgoodies.com/lessons/vol4/percents_to_decimals.html.

  1. For fact sheets on comparing decimals and percentages click here: http://www.bbc.co.uk/skillswise/numbers/fractiondecimalpercentage/comparing/decimalspercentages/factsheet.shtml

  1. For instruction on converting decimals to fractions by multiplying by one, click here: http://www.sosmath.com/algebra/fraction/frac6/frac6.html

  1. For instruction on changing fractions to percents, click here http://www.free-ed.net/fr07/lfc/course070101_01/unit1203.htm  

  1. For fact sheets on comparing fractions and percentages, click here: http://www.bbc.co.uk/skillswise/numbers/fractiondecimalpercentage/comparing/fractionspercentages/factsheet.shtml .

  1. For additional lesson on writing fractions as percents, click here: http://www.mathgoodies.com/lessons/vol4/fractions_to_percents.html.

  1. For information on converting percentages to fractions or decimals, click here: http://www.sosmath.com/algebra/fraction/frac7/frac7.html.

  1. For help in converting complex fractions to simple fractions, click here: http://www.sosmath.com/algebra/fraction/frac4/frac41/frac41.html.

  1. For a lesson on percents less than 1 and greater than 100, click here: http://www.mathgoodies.com/lessons/vol4/special_percents.html.

  1. For a challenge exercise on converting between fractions, decimals and percents by finding the missing value, click here: http://www.mathgoodies.com/lessons/vol4/challenge_vol4.html.

 

Percent Statements

 

  1. There are three numbers in every percent problem.  These are often given different names.  The “total” is also known as the “base” or the “original amount” or the denominator.  The “rate” is also known as the “percent” or the “percentage”, or “per one hundred”.  The “part” is the third quantity or the numerator.  For instruction on identifying these three numbers, click here http://www.free-ed.net/fr07/lfc/course070101_01/unit1204.htm 

  1. For instruction on using ratios and proportions in solving percent problems, click here: http://www.free-ed.net/fr07/lfc/course070101_01/unit1205.htm.

  1. For instruction on solving percent word problems, click here http://www.free-ed.net/fr07/lfc/course070101_01/unit1206.htm.

 Feedback and Review:

 

Meaning of Percents

  1. Click here http://www.free-ed.net/fr07/lfc/course070101_01/unit1201.htm and then click on “Feedback” on the left side of the screen to check your skills on the meaning of percents

  1. Try this timed game estimating the percent shaded of various rectangular shapes by clicking here http://www.scweb4free.com/percent1.html.  Can you get 8 points out of 10 consecutive exercise attempts?  This is a great practice in visualizing different percentages.

Decimal, Fraction, Percent Conversions

  1. Click here http://www.free-ed.net/fr07/lfc/course070101_01/unit1202.htm  and then click on “Feedback” on the left side of the screen to check your skills on decimal and percent conversions

  1. Click here http://www.edhelper.com/math/percents3.htm for feedback on writing decimals as percents.

  1. Click here http://www.edhelper.com/math/percents2.htm for feedback on writing each percent as a decimal.

  1. Click here http://www.free-ed.net/fr07/lfc/course070101_01/unit1203.htm and then click on “Feedback” on the left side of the screen to check your skills on changing fractions to percents.

  1. Click here http://www.edhelper.com/math/percents4.htm for more feedback on writing a fraction as a percent.

  1. Click here http://www.edhelper.com/math/percents1.htm for feedback on writing each percent as a fraction.

  1. Click here http://www.edhelper.com/math/percents5.htm to practice writing each fraction as a percent, rounding as needed. 

  1. For five worksheets comparing fractions and percentages click here http://www.bbc.co.uk/skillswise/numbers/fractiondecimalpercentage/comparing/fractionspercentages/worksheet.shtml.  Answers are included. 

    NOTE:  The British pound, ₤, is similar to the American dollar.  

  1. For three worksheets comparing decimals and percentages, click here http://www.bbc.co.uk/skillswise/numbers/fractiondecimalpercentage/comparing/decimalspercentages/worksheet.shtml.  Answers are included. 

  1. For a worksheet on writing fractions or decimals as percents and writing percents as decimals or fractions, click here http://www.mathgoodies.com/worksheets/percent_wks.shtm Click here http://www.mathgoodies.com/worksheets/percent_wks_ans.shtm  to check your answers.

  1. Click here http://www.edhelper.com/math/percents6.htm for problems on converting to the equivalent fraction, decimal or percent.

  1. Click here http://www.edhelper.com/math/percents7.htm to complete a fraction, decimal, percent table when only one form is given.

Percent Statements

  1. Click here http://www.free-ed.net/fr07/lfc/course070101_01/unit1204.htm  and then click on “Feedback” on the left side of the screen to check your skills on identifying the three numbers in a percent problem.

  1. Click here http://www.edhelper.com/math/percents8.htm for feedback on determining the percent of each number.

  1. Click here http://www.edhelper.com/math/percents9.htm for a mixture of percent statements to solve.

  1. Click here http://www.edhelper.com/math/percents10.htm for problems determining each percent of change.

  1. Click here http://www.edhelper.com/math/percents11.htm for practice in finding the missing number in simple interest problems.

  1. Click here http://www.edhelper.com/math/percents12.htm for practice in finding the missing number in more complex simple interest problems.

  1. Click here http://www.free-ed.net/fr07/lfc/course070101_01/unit1205.htm and then click on “Feedback” on the left side of the screen to check your skills on solving percent problems using ratios and proportions.

  1. Click here http://www.free-ed.net/fr07/lfc/course070101_01/unit1206.htm and then click on “Feedback” on the left side of the screen to check your skills on solving percent word problems.

  1. To play the Fun-Brain - Penguin Waiter Tip Game, click here http://www.funbrain.com/cgi-bin/pw.cgi?A1=s&A2=3&INSTRUCTS=1 .

 Transfer of Knowledge or Skills:

  1. Try this self-check quiz on using percents Click here http://www.glencoe.com/sec/math/studytools/cgi-bin/msgQuiz.php4?isbn=1-57039-850-X&chapter=4&lesson=1.

  1. To check on your mastery in writing each fraction (all hundredths) in decimal format, click here http://www.mathbuilder.com/cgi-bin/m.cgi?FT=1&F=FIVE56.

  1. To check on your mastery in writing each fraction in decimal format, click here http://www.mathbuilder.com/cgi-bin/m.cgi?FT=1&F=FIVE57.

  1. To check on your mastery in writing each decimal as a fraction, click here http://www.mathbuilder.com/cgi-bin/m.cgi?FT=1&F=FIVE58.

  1. To check on your mastery in finding the percent of a number, click here http://www.mathbuilder.com/cgi-bin/m.cgi?FT=1&F=FIVE85.

  1. To check on your mastery of all the percent concepts, click here http://www.onlinecollegeprep.com/InteractiveArith/A12/A12Mast/A12Mast.html.

  1. This is another good worksheet to test your understanding of all the concepts in percents.  Click here http://www.edhelper.com/math/percents90.htm.

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