Lesson 6: Converting Fractions, Decimals, & Percent

Period Odds: 10/8/15Period Evens: 10/9/15

Lesson Objectives:

▪ Objective 1: SWBAT convert fractions to decimals. _____

▪ Objective 2: SWBAT convert fractions to percent using multiple methods. _____

▪ Objective 3: SWBAT convert percent to decimals and fractions. ______

Why does these objectives matter?

Think-Pair-Share:How will these learning objectives help you… ▪ With your success in this class (what is our

goal?) ▪ Other areas? Be specific!

Fractions to Decimals (Objective 1):SWBAT convert fractions to decimals

To change a fraction into a decimal, we must divide the fraction.

Example 1:What decimal is the same as 3/8?Helpful Hint: “Top dog gets the house”

Example 2:

What decimal is the same as 3/11? Round to the nearest hundredths place.

Answer:

What decimal is the same as 3/11? Round to the nearest hundredths place.

=.27

Whiteboard CFU

What decimal is equal to 5/7? Round to the nearest hundredths place.

Answer:

0.71

Fist to 5: Check for UnderstandingOn a scale of 0-5:▪ 5= Currently a master at this objective▪ 0= I don’t even know where to start▪ Any number in between

Rate your current level of understanding of Objective 1 on the line next to your written objective on the first page of your notes.

Fractions to Percent (Objective 2) :SWBAT convert fractions to percent using multiple methods :

We can convert fractions into percent using two methods.

Select the method that is most comfortable for you! But you need to be familiar with both!

Method 1

▪ Convert fraction to a decimal▪ MULTIPLY that decimal by 100, which

means you MOVE the decimal over two spaces to the right.

Example:Convert the following fraction to a percent.2 = 7

Decimal to Percent=

Method 2

Example: Convert 4/5 into a percent.Step 1: Set the fraction equal to“x over 100”

Step 2: Cross-multiply the proportion, then solve for x. Whatever x equals will be your percent.

Whiteboard CFU:

1. Change 8/15 into a percent. Round to the nearest whole number.

(choose either method 1 or method 2)

Answer:

53%

Whiteboard CFU

Change 17/50 into a percent (use different method then the one used before)

Answer:

34%

Fist to 5: Check for UnderstandingOn a scale of 0-5:▪ 5= Currently a master at this objective▪ 0= I don’t even know where to start▪ Any number in between

Rate your current level of understanding of Objective 2 on the line next to your written objective on the first page of your notes.

Percent to Decimals and Fractions (Objective 3):SWBAT convert percent to decimals and fractions

Example:Convert 45% into a fraction and a decimal.

Simplify fraction.Percent Fraction Decimal

Whiteboard CFU

Convert 325% into a FRACTION and DECIMAL

Percent Fraction Decimal

Answer:

▪ Decimal= 3.25▪ Fraction: 325/100= 65/20= 13/4= 31/4

Percent Fraction Decimal

325% 325/100= 65/20=13/4=31/4

3.25

Whiteboard CFU

▪ Convert 36% into a FRACTION and DECIMALPercent Fraction Decimal

Answer:

▪ Decimal= .36▪ Fraction= 36/100= 9/25

Percent Fraction Decimal

36% 36/100= 9/25 .36

Fist to 5: Check for UnderstandingOn a scale of 0-5:▪ 5= Currently a master at this objective▪ 0= I don’t even know where to start▪ Any number in between

Rate your current level of understanding of Objective 3 on the line next to your written objective on the first page of your notes.