January 6, 2009 Math 201

REVIEW: Converting fractions to decimals

In a word…DIVIDE!

Converting decimals to percents

In two words…Place Value!

Objective: Students will be able to convert fractions to percents

Aim: In what ways can division and place value help us to convert fractions to percents?

NYS Mathematics Standards: 6.N.11, 6.N.21

Prior Knowledge: Convert 2/5 to a decimal

Convert .4 to a percent

January 6-7, 2010 Math 201

Mini-lesson:

To convert a fraction to a percent:

First convert the fraction to a decimal, then convert the decimal to a percent

FRACTION DECIMAL PERCENT

Example:

Convert the fraction 9/20 to a percent

1. Change 9/20 to a decimal, by dividing 20 into 9

2. Change the decimal to a percent, by moving the decimal point two places to the right.

Example:

Convert the fraction 6/25 to a percent

1. Change 6/25 to a decimal, by dividing 25 into 6

2. Change the decimal to a percent, by moving the decimal point two places to the right.

Example:

Convert the fraction 3/8 to a percent

1. Change 3/8 to a decimal, by dividing 8 into 3

2. Change the decimal to a percent, by moving the decimal point two places to the right.

If we wanted to convert a percent to a fraction, how do you think we could do that? What steps could we follow?

Example: 75%

Question:

What about a percent to a decimal?

Example: 65%

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What about a decimal to a fraction?

Example: 0.125 (Think: place value)

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Independent Practice: Worksheet handout, problems 1,4 and 7

Homework: Finish problems 2,3,5,6,8 and 9