Lesson 6: Converting Fractions, Decimals, & Percent Period Odds: 10/8/15 Period Evens: 10/9/15.

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Presentation transcript:

Lesson 6: Converting Fractions, Decimals, & Percent Period Odds: 10/8/15 Period 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 Understanding On 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 Understanding On 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. PercentFractionDecimal

Whiteboard CFU Convert 325% into a FRACTION and DECIMAL PercentFractionDecimal

Answer: ▪Decimal= 3.25 ▪Fraction: 325/100= 65/20= 13/4= 3 1/4 PercentFractionDecimal 325%325/100= 65/20= 13/4= 3 1/4 3.25

Whiteboard CFU ▪Convert 36% into a FRACTION and DECIMAL PercentFractionDecimal

Answer: ▪Decimal=.36 ▪Fraction= 36/100= 9/25 PercentFractionDecimal 36%36/100= 9/25.36

Fist to 5: Check for Understanding On 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.