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Stand Quietly

Stand Quietly. Lesson 6.3_The Percent Proportion Students will be able to use percent proportion to solve real life examples. Warm-Up #11 (3/6/2017). Order the number from least to greatest: 0.66, , 66.1%, 0.667 Order the number from least to greatest: , 21%, 0.21,. Homework (3/6/2017).

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Stand Quietly

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  1. Stand Quietly

  2. Lesson 6.3_The Percent Proportion Students will be able to use percent proportion to solve real life examples

  3. Warm-Up #11 (3/6/2017) • Order the number from least to greatest: 0.66, , 66.1%, 0.667 • Order the number from least to greatest: , 21%, 0.21,

  4. Homework (3/6/2017) Solving Percent Problems Using Proportions Worksheet_page 1 and 2

  5. Warm-Up #12 (3/7/2017) Write a proportion and then solve for it each problem. • What number is 75% of 125? • 60 is what percent of 25? • 39 is 150% of what number?

  6. Homework (3/7/2017) Solving Percent Problems Using Proportions Worksheet_page 3 and 4

  7. Warm-Up #13 (3/9/2017) Write a proportion and then solve for it each problem. • At a sale, a shirts were sold for $14. This price was 70% of their original price. What was the original price? • There are 40 students in a class. 11 of the those students are women. What percent are men? (Round to the nearest tenths)

  8. Homework (3/9/2017) Worksheet: Percent Word Problems Page 1 and 2

  9. Warm-Up #14 (3/10/2017) Write a proportion and then solve for it each problem. • Dr. Hall files 320 insurance claims every month. If 5% of those claims are rejected, how many claims are rejected?How many are accepted? • In the Central City Grand Prix, out of 30 cars that started the race, 12 of them finished. What percent of the cars finished the race? What percentdid not finish the race?

  10. Homework (3/10/2017) Worksheet: Percent Word Problems Page 3 and 4

  11. Partner Poster Activity • Write names on the poster (top right corner) • Copy down the number and the problem on the poster. Underline important information. • Set up the problem • Solve the problem (include the units) • Draw picture(s) that relate to the problem • Make sure it is NEAT and READABLE

  12. Pg 224. #1-10 #20-30

  13. The Formula Also called the (Part) Also called the (Whole) or (Total) or (Base)

  14. Two words that will occur in these types of problems are "is" and "of". These words have specific meanings in math. "Is" means equals (=) "Of" means multiply

  15. To solve a percent problem, translate the words into an equation. Change the following: 1. Percent into a decimal 2. "is" to "=" 3. "of" to " multiply " 4. Unknown to “x" Then, solve the equation.

  16. Translate to a proportion. • 56% of 46 is what number? • What percent of 69 is 153?

  17. Finding the Part 3. 25% of 60 4. 5.1% of 400

  18. 5. What percent of 1800 is 36? 6. 320 is what percentage of 4? Finding the Percent

  19. 7. 12 is 80% of what number? 8. Find a number so that 66 2/3 % of it is 12. Finding the Base

  20. Proportion Method Steps 1. Set up the proportion as shown. 2. Substitute given values into the proportion. 3. Solve the proportion. = % is 100 of Note: You can use this box to solve many problems involving percents! Note: Try to find the numbers that are attached to the words/symbols: is, of, or percent.

  21. Example: What is 25% of 400? Steps 1. Set up the proportion. 2. Substitute. 3. Solve. ? 25 % is = 400 100 100 of Click on each box to see if you substituted correctly. What is 25% of 400? 400 x 25 = 100w 10,000 = 100w 10,000/100 = w 100 = w Click

  22. Example: What is 32% of 300? Steps 1. Set up the proportion. 2. Substitute. 3. Solve. ? 32 % is = 300 100 100 of Click on each box to see if you substituted correctly. What is 32% of 300? 300 x 32 = 100w 9,600 = 100w 9600/100 = w 96 = w Click

  23. Try it: What is 20% of 180? Steps 1. Set up the proportion. 2. Substitute. 3. Solve. % is = 100 of

  24. Tips on solving Percent Word Problems • Make sure you understand the question that is asked. Figure out the missing variable. • Sometimes you have to add or subtract in order to have the correct information. • The base (“of”) will always be the original number, price, or total. • Plug information into the formula:

  25. Practice on Rounding 1. Round to the nearest tenths 35.656  35.7 2. Round to the nearest hundredths 5.532  5.53 3. Round to the nearest whole number 35.76  36

  26. Practice on Rounding 4. Round to the nearest cent $3.7612  $3.76 5. Round to the nearest dollar $3.712  $4.00

  27. Practice on Rounding 1. Round the nearest tenth 35.656  35.7 2. Round to the nearest hundredths 5.532  5.53 3. Round to the nearest whole number 35.656  35.7 4. Round to the nearest cent 5. Round to the nearest dollar

  28. Example 1 A baseball pitcher won 80% of the games he pitched. If he pitched 35 ball games, how many games did he win? X= 28 games

  29. Example 2 Jerry, an electrician, worked 7 months out of the year. What percent of the year did he work? (round to the nearest hundredths) X= 58.33%

  30. Example 3 There are 28 students in class. 16 of those students are men. What percentof the class are women? (Round to the nearest tenths) Create the question: 12 is what percent of 28? X= 42.9% 12

  31. Example 4 Don took a math test and got 35 correct and 10 incorrect answers. What was the percentage of correct answers nearest tenths) Create the question: 35 is what percent of 45% Correct Answers 35 X= 77.8% Incorrect Answers 10 Total Answers 45

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