4 Quiz #3a: Convert the given amount to the given unit: 200 cm = ______ meters?5 ft 3 in = _________ in?Solve each proportion:3.5.32y4.3645
5 Quiz #3b: Convert the given amount to the given unit: Hint:lb = poundoz = ouncesConvert the given amount to the given unit:6 ½ ft = ______ in?4 lb 7 oz = _________ oz?Solve each proportion:3.5.32y4.3645
6 YOUR TURN Vocabulary: Percentage = .58 .08 .04 .6 Name:Date:Period:Topic: Percent and Change Expressed as a percentEssential Question: What strategies could help you solve a percent problem or a percent change?Vocabulary:Percentage =%A percentage is a fraction in which the denominator is equal to 100.For example,Fractions to percentage:Decimals to percentage:.58.08YOUR TURNQuick Review:.04.6
7 a = part of, b = base, p = percent a = p · bWhat percentage of 56 is 42?How do youfind the percentusing the percentproportion?What percentage of 75 is 15?A dress shirt that normally costs $38.50 is on sale for 30% off.What is the sale price of the shirt?How do youfind the “a” partusing the percentequation?A family sells a car to dealership for 60% less than they paid for it.They paid $9000 for the car. For what price did they sell the car?How do youfind the “b” partusing the percentequation?125% of what number is 17. 5?20% of what number is 80?
8 YOUR TURN 1) What percentage of 16 is 10? a = part ofb = base3) As you walk into a store you see the skate board you alwayswanted at a 35% discount from its original price of $39.99.What is the sale price of the skateboard?p = percent4) 60% of what number is 13.5?a = p · b5) 150% of what number is 34?If you need help do not hesitate to ask for help!
9 YOUR TURN I = Prt I = interest P = principal t = time in years How do youfind simpleinterest?You deposited $840 in a savings account that earns a simpleinterest rate of 4.5% per year. You want to keep themoney in the account for 4 years.How much interest will you earn?You deposited $125 in a savings account that earns asimple interest rate of 1.75% per year.You earned a total of $8.75 in interest.For how long was your money in the account?I = PrtI = interestP = principalYOUR TURNr = annual interest rate6) A savings account earns simple interest ata rate of 6% per year.Last year the account earned $10.86 in interest.What was the balance in the account at the beginning of last year?t = time in years
10 = Vocabulary: Example: Percentage Change is the ratio of the amount of change to the original amount .Example:Peter’s weight decreases from 60kg to 48 kg.Find the percentage change of hisweight.If the answer is positive, it means a percentage increase. If the answer is negative, it means a percentage decrease.
11 YOUR TURN7) In one year, the toll for passenger carsto use a tunnel rose from $3 to $3.50.What was the percent increase?8) The average monthly precipitation for Chicago, Illinois, peaks in June at 4.1 in. The average monthly precipitation in December is 2.8 in.What is the percent decrease from June to December?
12 Real Life: Profit and Loss 9) David bought a car for $90,000 three years ago. He sells the car for $54,000 this year. What is the percentage change of his car’s price?When the percentage change is positive, it means there is a profit.When the percentage change is negative, it means there is a loss.Still Your Turn!
13 Real Life: Percent Error 10) A decorator estimates that a rectangular rug is 5ft by 8ft. The rug is actually 4ft by 8ft. What is the percent error in the estimated area?A) 0.25% B) 20% C) 25% D) 80%Yeah, You Know It. It’s Your Turn!
15 Pair Work: Presentations 30 meters; cm 12 lb 3 oz; oz Group 1:Pair Work:PresentationsGroup 6:103ft; yd30 meters; cm12 lb 3 oz; ozGroup 2:Group 7:If 5 pizzas serve 14 people, how many pizzas are needed for a pizza party with 76 people?15% of what number is 74?What is 30% of 241Group 8:A beauty salon buys bottles of styling gel for $6. 35 per bottle and marks up the price by 35%. For what price does the salon sell each bottle?Group 3:You are planting a vegetable garden with 12 rows. If it took 26 minutes to plant the first 4 rows, how long will it take to plant all 12 rows of the garden?Group 4:Group 9:You deposit $645 in a savings account that earns simple interest at a rate of 3.5% per year. How much interest will you have earned after 7 years?270 min; hours5000 centimeters; meters43 km; cmGroup 5:Find the percent change: A $1700 computer is on sale for $1175.Group 10:Find the percent change: The value of a stamp collection increases from $150 to $170 in one year