Objectives We are beginning to learn about percentages. At the end of this lesson you will know – What a percentage is (day 1) – How to convert a percentage.

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Presentation transcript:

Objectives We are beginning to learn about percentages. At the end of this lesson you will know – What a percentage is (day 1) – How to convert a percentage to a decimal and fraction and back again. (day 1) – How to calculate percentages using the percent box (day 2) – How to solve percent word problems. (day 2)

KNOWLEDGE CHECK!! MATCH THE FOLLOWING STATEMENTS AND PICTURE WITH THE CORRECT PERCENTAGE! Percentage of people who are female on earth? 12% 22% 52% 92%

KNOWLEDGE CHECK!! Percentage of Pizza that is left over? 75% 100% 10% 25%

KNOWLEDGE CHECK!! Percent change of winning the lottery!?! 75% 1% % 85%

KNOWLEDGE CHECK!! Percentage of daily fat intake? 15% 38% 100 % 55%

So what is a percentage? Percentage is a rate, number, or amount in each hundred. In other words, if the number you were calculating was out of 100, how often or how much would it be?

Percentages So… 15% = 15/100 =.15 60% = 60/100 =.6 3% = 3/100 =.03 Can be reduced to 3/20 You don’t need to write the last zero Notice zero place holder to put the 3 in the 100 th place

You Try A) 45% = ___/100 =.45 B) 55% = ___/___ =.____ C) ____% =____/____ =.25 D) ____% = 9/100 =._____

Percentages Part Deux Warm Up 1)0.85 = ____% 2)0.__ = 9% Solve for X 3)3x = 214) 4x = 32 5) 100 x 35 = _______6) 4500 / 100 = _____

Percent Box The Percent Box is an easy way to compute percent.

Percent Box Example 1 What is 30% of 200? Steps 1.Determine which numbers go in which box. 2. Place an “X” in the missing box. 3. Cross multiply and solve for X 30% 200 X 100X = 600

Percent Box Example 2 30% of what number is 20? Steps 1.Determine which numbers go in which box. 2. Place an “X” in the missing box. 3. Cross multiply and solve for X 30% 20 X 2000 = 30X

Percent Box Example 3 50 is what percent of 200? Steps 1.Determine which numbers go in which box. 2. Place an “X” in the missing box. 3. Cross multiply and solve for X X 5000X = 200X

Percent Box YOUR TURN!!!! What is 40% of 80? Steps 1.Determine which numbers go in which box. 2. Place an “X” in the missing box. 3. Cross multiply and solve for X

Percent Box YOUR TURN!!!! 30 is 20% of what number? Steps 1.Determine which numbers go in which box. 2. Place an “X” in the missing box. 3. Cross multiply and solve for X