Short for the term "decimal fraction", a decimal is another way to represent fractional numbers. The decimal uses place value to express the value of a number as opposed to a fraction that uses a numerator and denominator.
fraction
A rational number of the form a/b where a is called the numerator and b is called the denominator
percent
A ratio that compares a number to one hundred. The symbol for percent is %
Focus and Review
Review prior fraction material. Lead into this lesson by asking: How many people in here like money?
Objectives
Today we will be working on converting between fractions, decimals, and percents.
Teacher Input
Instruct the students to cut out their coins from the coin pages.
Ask the class how they would see 25 cents written in a store. Have the student who raises his/her hand come write his/her answer on the board.
Repeat this for 10, 5, and 1 cents.
Instruct the students to separate their coins into pennies, nickles, dimes, and quarters.
So we represent money using decimals. How many pennies are in a dollar? Count out 100 pennies. Using your pennies tell me:
*What is 1/4 of a dollar?
How did you calculate that?
Can someone write on the board that for the class in decimal form?
What is that equal to in quarters?
*What is 1/5 of a dollar?
How did you calculate that?
Can someone write on the board that for the class in decimal form?
What is that equal to in dimes and nickles?
*What is 1/2 of a dollar?
How did you calculate that?
Can someone write on the board that for the class in decimal form?
What is that equal to in dimes, nickles, and, quarters?
*What is 1/10 of a dollar?
How did you calculate that?
Can someone write on the board that for the class in decimal form?
What is that equal to in dimes?
*What is 3/4 of a dollar?
How did you calculate that?
Can someone write on the board that for the class in decimal form?
What is that equal to in nickels and quarters?
Explain to the students that what they are doing is converting from fractions to decimals.
Show the students how to convert from fractions to decimals by dividing the numerator by the denominator.
Now ask the students a series of questions about percentages. You can also relate the percentages back to the questions they just answered about different parts of a dollar.
Show the students how to convert between percents and decimals.
Guided Practice
Have a mock store set up in the class. In the store have the items on sale for example buy one $1.00 pencil get one 1/2 off. Pass out shopping lists. You will probably want to have several different versions of the list to avoid students clustering at the same stations. Have the students calculate a total for their list. You may want to offer a small reward for those who total up their list correctly.
Independent Practice
Assign partners and demonstrate how to use Fraction Four. Have the students open the Fraction Four applet and begin playing it with a partner.
Closure
Discuss why conversions between fractions, decimals, and percents are important in real life situations.
Review the steps used to convert between fractions, decimals, and percents.