Criteria A: Knowledge and Understanding Percent. 23 = x

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1 Name: Criteria A: Knowledge and Understanding Percent The student consistently solves simple, complex, and challenging problems correctly. Day/Block: The student generally The student sometimes solves solves, simple, challenging, simple, challenging, and and complex problems complex problems correctly. correctly. The student attempts to solve simple, challenging, and complex problems correctly. 1) What is 23% of 550? Answer: Step 1: Convert 23% to a decimal: 23/100 = 0.23 Step 2: Multiply: 0.23 x 550 = or Step 1: Set up the percent proportion to solve: 23 = x Step 2: Cross Multiply to set up an equation to solve 100x = = ) 12 is 40% of what number? Answer: 30 Step 1: Set up the percent proportion to solve:

2 12 = 40 x 100 Step 2: Cross Multiply to set up an equation to solve 1200 = 40x = 30 3) 7 is what percent of 56? Answer: 12.5 Step 1: Set up the percent proportion to solve: 7 = x Step 2: Cross Multiply to set up an equation to solve 700 = 56x = ) What is the percent of change if 75 is decreased to 45? Answer: 40% Step 1: Set up the percent of change equation and solve = -30 = Step 2: Multiply by 100 to change the decimal to a percent 0.4 x 100 = 40 %

3 5) What is the percent of change is 40 is increased to 88? Answer: 120% Step 1: Set up the percent of change equation and solve = 48 = Step 2: Multiply by 100 to change the decimal to a percent 1.2 x 100 = 120% 6) Original Price of a t-shirt: $21.50 Discount: 45% What is the selling price? Answer: $11.82 Step 1: Convert 45% to a decimal by dividing by 100 Step 2: Multiply the original price by the discount $21.50 x.45 = $9.68 Step 3: Subtract the discounted price from the original price $21.50 $9.68 = $ ) Original price of a concert ticket: $95.00 Tax: 7% What is the final price? Answer: $ Step 1: Convert 7% to a decimal by dividing by 100 Step 2: Multiply the original price by the tax $95.00 x 0.07 = $6.65 Step 3: Add the tax to the original price $ $6.65 = $101.65

4 8) Price store owner pays for leather flip flops: $25.00 Markup: 80% Tax: 8.5% How much will a customer have to pay to purchase the flip flops? Answer: $48.83 Step 1: Convert 80% to a decimal by dividing by 100 Step 2: Multiply the original price of the flip-flops by the markup $25.00 x 0.8 = $20 Step 3: Add the original price and the amount of the mark up $ $20.00 = $45.00 Step 4: Convert 8.5% to a decimal by dividing by 100 Step 5: Multiply the price after mark up by tax $45.00 x = $3.83 Step 6: Add the price after mark up and the amount of tax $ $3.83 = $48.83

Name: Day/Block: Criteria A: Knowledge and Understanding Percent 7-8 5-6 3-4 1-2 The student generally The student sometimes solves, simple, solves simple, challenging, and challenging, and complex

5 Name: Day/Block: Criteria A: Knowledge and Understanding Percent The student generally The student sometimes solves, simple, solves simple, challenging, and challenging, and complex problems complex problems correctly. correctly. The student consistently solves simple, complex, and challenging problems correctly. The student attempts to solve simple, challenging, and complex problems correctly. 1) What is 76% of 240? Answer: Step 1: Convert 76% to a decimal: 76/100 = 0.76 Step 2: Multiply: 0.76 x 240 = Or Step 1: Set up the percent proportion to solve: 76 = x Step 2: Cross Multiply to set up an equation to solve 100x = = ) 12 is 60% of what number? Answer: 20 Step 1: Set up the percent proportion to solve:

6 60 = x Step 2: Cross Multiply to set up an equation to solve 60x = 1200 = 20 3) 42 is what percent of 112? Answer: 37.5 Step 1: Set up the percent proportion to solve: X = Step 2: Cross Multiply to set up an equation to solve 112x = 4200 = ) What is the percent of change if 18 is increased to 45? Answer: 150% Step 1: Set up the percent of change equation and solve

7 45 18 = 27 = Step 2: Multiply by 100 to change the decimal to a percent 1.5 x 100 = 150% 5) What is the percent of change if 400 is decreased to 290? Answer: 27.5% Step 1: Set up the percent of change equation and solve = -110 = Step 2: Multiply by 100 to change the decimal to a percent x 100 = 27.5% 6) Original price of a candy bar: $3.95 Sale: 30% off What is the selling price? Answer: $2.76 Step 1: Convert 30% to a decimal by dividing by 100 Step 2: Multiply the original price by the discount $3.95 x 0.30 = $1.19 Step 3: Subtract the discounted price from the original price $ $1.19 = $2.76

8 7) Original price of a plane ticket: $398 Tax: 4% What is the final price? Answer: $ Step 1: Convert 4% to a decimal by dividing by 100 Step 2: Multiply the original price by the tax $398 x 0.04 = $15.92 Step 3: Add the tax to the original price $398 + $15.92 = $ ) Price store owner pays for a soccer ball: $12.50 Markup: 70% Tax: 7.5% How much will the customer have to pay to purchase the soccer ball? Answer: $22.84 Step 1: Convert 70% to a decimal by dividing by 100 Step 2: Multiply the original price of the soccer ball by the markup $12.50 x 0.70 = $8.75 Step 3: Add the original price and the amount of the mark up $ $8.75 = $21.25 Step 4: Convert 8.5% to a decimal by dividing by 100 Step 5: Multiply the price after mark up by tax $21.25 x = $1.59 Step 6: Add the price after mark up and the amount of tax $ $1.59 = $22.84

9 Name: Day/Block: Criteria D: Application Percent I can Identify relevant elements of authentic real-life problems Select appropriate mathematics when solving authentic real-life problems Apply the selected mathematics successfully to reach a solution Justify the degree of accuracy of the solution Justify whether a solution makes sense in real life The student meets all of the descriptors above. The student meets most of the descriptors above. The student meets some of the descriptors above. The student meets few of the descriptors above. The student does not reach a standard described by any of the descriptors above. 1) Manuel recently bought a used car for 55% of the original price of $24,500. What did he pay for the car? Step 1: Convert 55% to a decimal by dividing by 100 Step 2: Multiply (0.55 x $24,500= $13,475) Manuel paid $13,475 for the car 2) By buying 10 books, Fred gets a 20% discount on his purchase. The 10 books cost a total of $ How much will Fred pay for the 10 books? Step 1: Convert 20% to a decimal by dividing by 100 Step 2: Multiply - $67.50 x 0.20 = $13.50 Step 3: Subtract - $ $13.50 = $54.00 Fred will pay $54.00 for the books. 3) In 1909, the average American consumed 18 pounds of butter. In 1999, the average American consumed 27% of that amount. About how much butter did the average American consume in 1999? Step 1: Convert 27% to a decimal by dividing by 100 Step 2: Multiply 18 x 0.27 = 4.86

10 In 1999, Americans consumed 4.86 pounds of butter. 4) Yankee Stadium in New York City can hold 55, 070 fans. If a baseball game draws a crowd that is 80% of the stadium s capacity, how many empty seats are there in the stadium? Step 1: Convert 80% to a decimal by dividing by 100 Step 2: Multiply - 55, 070 x 0.80 = 44, 056 Step 3: Subtract 55, , 056 = 11, 014 There are 11, 014 empty seats in the stadium. 5) Adam and Cyndi have lunch together and decide to split the cost evenly and leave a 15% tip. The bill for lunch is $16. How much should each leave as a tip? Step 1: Convert 15% to a decimal by diving by 100 Step 2: Divide the cost of the meal 16/2 = 8 Step 3: Multiply the cost for lunch by 0.15 (8 x 0.15 = $1.20) Each will leave $1.20 as a tip. 6) Kate had $2, in her bank account. Currently, she has $1, in her account. Find the percent of change. Step 1: Set up the percent of change equation and solve $1, $2, = $2,

11 Step 2: Multiply by 100 to convert to a percent (-0.12 x 100 = 12%) There was a 12% decrease in her bank account. 7) In 1986 the average price of a gallon of gasoline was $0.93 cents. In 2007 the average price of a gallon of gasoline was $2.77. Find the percent of change rounded to the nearest tenth of a percent. Step 1: Set up the percent of change equation and solve $ $0.93 = $0.93 Step 2: Round to the nearest tenth 2.0 Step 3: Convert to a percent by multiplying by 100 (2 x 100 = 200%) The price of gasoline increased by approximately 200% 8) Mike and his parents went to Red Robin. Their order consisted of 2 hamburgers at $5.49 each, a chicken sandwich for $6.25, an order of ribs for $12.99, and 4 sodas at $1.75 each. They left a 20% tip (on the food and drink total, before tax) paid a 7% sales tax. How much money did lunch cost them? Step 1: Determine the cost of the meal 2 x $5.49 = $ x $1.75 = $5.25 $ $ $ $12.99 = $35.47

12 Step 2: Convert 20% to a decimal by dividing by 100 Step 3: Multiply the cost of dinner by the tip ($35.47 x 0.2 = $7.09) Step 4: Convert 7% to a decimal by dividing by 100 Step 5: Multiply the cost of dinner by the tax (35.47x 0.07 = $2.48) Step 6: Add the tax and tip to the cost of dinner - $ $ $2.48 = $45.04) The cost of the meal was $45.04

Lesson 3 The Percent Proportion

Lesson 3 The Percent Proportion A percent proportion compares part of a quantity to a whole quantity for one ratio and lists the percent as a number over 100 for the other ratio. is(part) of(whole) = %