**Comparing
Fractions, Decimals, & Percents **

** **

**Objectives:**

To learn the meaning of percents

To learn how to convert a decimal or a fraction to a percent

To learn how to convert a percent to a decimal

To identify the numbers in a percent problem

To learn a process to solve percent problems using proportions

**Outcomes:**

- To complete a mastery test on percents.

**Warm-Up:**

Try this

self-check quizon 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)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.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.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.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

For instruction on the

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

meaning of percents, click here: http://www.mathgoodies.com/lessons/vol4/meaning_percent.html

Decimal, Fraction, Percent Conversions

For instruction on

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

For more instruction on

writing a percent as a decimal,click here: http://www.mathgoodies.com/lessons/vol4/percents_to_decimals.html.

For

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

For instruction on

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

For instruction on

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

For fact sheets on

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

For additional lesson on

writing fractions as percents, click here: http://www.mathgoodies.com/lessons/vol4/fractions_to_percents.html.

For information on

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

For help in

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

For a lesson on

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

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

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

For instruction on

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

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

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.

Try this timed game

estimating the percentshaded 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

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.

Click here http://www.edhelper.com/math/percents3.htm for feedback on

writing decimals as percents.

Click here http://www.edhelper.com/math/percents2.htm for feedback on

writing each percent as a decimal.

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.

Click here http://www.edhelper.com/math/percents4.htm for more feedback on

writing a fraction as a percent.

Click here http://www.edhelper.com/math/percents1.htm for feedback on

writing each percent as a fraction.

Click here http://www.edhelper.com/math/percents5.htm to practice

writing each fraction as a percent, rounding as needed.

For five worksheets

comparing fractions and percentagesclick 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.

For three worksheets

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

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 youranswers.

Click here http://www.edhelper.com/math/percents6.htm for problems on

converting to the equivalent fraction, decimal or percent.

Click here http://www.edhelper.com/math/percents7.htm to complete

a fraction, decimal, percent table when only one form is given.

Percent Statements

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.

Click here http://www.edhelper.com/math/percents8.htm for feedback on

determining the percent of each number.

Click here http://www.edhelper.com/math/percents9.htm for a

mixture of percent statements to solve.

Click here http://www.edhelper.com/math/percents10.htm for

problems determining each percent of change.

Click here http://www.edhelper.com/math/percents11.htm for practice in

finding the missing number in simple interest problems.

Click here http://www.edhelper.com/math/percents12.htm for practice in

finding the missing number in more complex simple interest problems.

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.

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.

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:**

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.

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.

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.

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.

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.

To check on your

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

This is another good worksheet to test your

understanding of all the concepts in percents. Click here http://www.edhelper.com/math/percents90.htm.