 # Date Assignment Assignment Name Poss Pts 112 36

• Slides: 79 Date Assignment # Assignment Name Poss. Pts. 11/2 36 Warm up 15 11/2 37 Finding Percent of a Number 10 DO NOT USE CALCULATOR 1. Warm Up– Nov 2 Find Percent of a Number Example: 5% of 300 Steps: 1. Change percent to fraction 2. Solution By Writing Percent as a Fraction Example: 5% of 300 Steps: 1. Change percent to fraction 2. Multiply fraction and number Solution By Writing Percent as a Fraction Example: 25% of 180 Steps: 1. Change percent to decimal (move decimal 2 places to the left) 2. Solution By Writing Percent as a Decimal Example: 25% of 180 Steps: 1. Change percent to decimal (move decimal 2 places to the left) 2. Multiply decimal and number Solution By Writing Percent as a Decimal Example: 120% of 75 Steps: 1. Change percent to fraction 2. Solution By Writing Percent as a Fraction Example: 120% of 75 Steps: 1. Change percent to fraction 2. Multiply fraction and number Solution By Writing Percent as a Fraction Example: 150% of 28 Steps: 1. Change percent to decimal (move decimal 2 places to the left) 2. Solution By Writing Percent as a Decimal Example: 150% of 28 Steps: 1. Change percent to decimal (move decimal 2 places to the left) 2. Multiply decimal and number Solution By Writing Percent as a Decimal Date Assignment # Assignment Name Poss. Pts. 11/6 38 Estimate the Percent of a Number 10 1. Find 40% of 70, change percent to fraction 2. Find 75% of 280, change percent to decimal 3. If 30% of the people speak Spanish in a town. If there are 735 people living in the town. How many people speak Spanish Dispatch – nov 5 Estimate the Percent of a Number Example 1: Jodi has paid 62% of the 500 she owes for her loans. Estimate 62% of 500. Estimate the Percent of a Number Example 2: Maria and four of her friends ordered a pizza that cost \$14. 72. She is responsible for 20% of the bill. About how much money will she need to pay? Estimate the Percent of a Number Example 3: There are 789 students at Washington Middle School. About _______ of the seventh grade students have traveled overseas. What is the approximate number of seventh grade students that have traveled overseas? Explain. Date Assignment # Assignment Name Poss. Pts. 11/9 39 Warm UP 10 11/9 40 Percent Proportion 10 Warm UP 11/9 1. Find 12% of 40 2. Find 45% of 25 change percent to fraction change percent to decimal 3. Last weekend, 23, 123 people attended the football game. About 0. 25% of them were reporters. About how many reporters were at the game? Percent Proportion Percent Proportion Percent Proportion Percent Proportion Percent Proportion Find the Percent Example: What percent of \$15 is \$9 Percent Proportion Find the Part Example: What number is 40% of 120 Percent Proportion Find the Whole Example: 18 is 25% of what number? ◦ Warm up 11/12 & 11/13 7 A – answer the problems on the lower half of page 39 Date Assignment # Assignment Name Poss. Pts. 11/9 40 Percent Proportion 10 Error Analysis 10 11/16 41 ◦ Number of Hot Dogs Cost 6 \$13. 50 8 \$18 10 \$22. 50 Copy all on “My Error” column Date Assignment # Assignment Name Poss. Pts. 11/16 41 Error Analysis 10 11/30 42 Warm Up 15 1. Solve using proportion 27 is what percent of 150? (do not use calculator) 2. The table shows the total cost of a variety of nuts purchased in a gourmet store, before tax is added. Type of Nuts Weight in Pounds, x Total Cost, y Cashews 1 \$6 Spanish Peanuts 3 \$12 SHOW YOUR WORK OR EXPLAIN HOW YOU KNOW Almonds 5 \$45 a. Place three types of nuts in order from the one with the lowest price per pound to the highest price per pound. b. The total cost of the nuts purchased, including tax is \$6. 30. Determine the sales tax rate to the nearest tenth of a percent. Warm up 11/30 & 12/1 Turn in Study Island Log 1. What is 36% of 50? 2. 75% of 35 is what number? 3. What percent of 25 is 18? Warm Up 12/2 Date Assignment # Assignment Name Poss. Pts. 12/3 43 Percent Equation 10 12/3 44 Percent Equation Foldable 10 Write and solve proportions. Round to the nearest tenth place. 1. 27 is what percent of 150? 2. 34 is 75% of what number? 3. Joanne paid \$34 for a necklace, sales tax is 8%. What was the price of the necklace plus tax? Warm up 12/3 Percent Equation Percent Equation Example 1: What number is 12% of 150? Do you need to find part, percent, or whole? _______ Percent Equation Example 2: 21 is what percent of 40? Do you need to find part, percent, or whole? _______ Percent Equation ◦ Example 3: 13 is 26% of what number? ◦ Do you need to find part, percent, or whole? _______ Percent Equation Ex. 1: What is 6% of 200? Percent Equation Ex. 2: 26% of what number is 45? Percent Equation Ex. 3: 27 is what percent of 150? Date Assignment # Assignment Name Poss. Pts. 44 Percent equation foldable (you entered last week) 10 12/6 45 Warm up 15 12/6 46 Percent of Change 10 Do not use calculator 1. 75% of what number is 24? Write and solve as an equation 2. 45 is what percent of 60? Write and solve as an equation 3. What is 88% of 25? Write and solve as an equation Warm up Percent of Change Percent Increase Ex: In 1970 gas was \$1. 30. In 2010 it was \$2. 95. Find the percent increase. Round to the nearest whole percent if necessary. Step 1: Find the difference Step 2: _______ Step 3: Percent Increase Step 1: Find the difference Step 2: Divide the difference by the original number. Difference Original Number Step 3: Ex: In 1970 gas was \$1. 30. In 2010 it was \$2. 95. Find the percent increase. Round to the nearest whole percent if necessary. Percent Increase Ex: In 1970 gas was \$1. 30. In 2010 it was \$2. 95. Find the percent increase. Round to the nearest whole percent if necessary. Step 1: Find the difference Step 2: Divide the difference by the original number. Difference Original Number Step 3: Don’t forget to change the decimal to a percent by multiplying it by 100. Percent Decrease Ex: David bought a DVD player for \$280. Now it is on sale for \$220. What is the percent decrease? Step 1: Find the difference Step 2: Step 3: Percent Decrease Ex: David bought a DVD player for \$280. Now it is on sale for \$220. What is the percent decrease? Step 1: Find the difference Step 2: Divide the difference by the original number. Difference Original Number Step 3: Percent Decrease Ex: David bought a DVD player for \$280. Now it is on sale for \$220. What is the percent decrease? Step 1: Find the difference Step 2: Divide the difference by the original number. Difference Original Number Step 3: Don’t forget to change the decimal to a percent by multiplying it by 100. Nick is buying a toy in a city where the sales tax is 7. 5%. The scooter is on sale for \$56. What will be the total cost of the scooter, including tax? Show all your work without using a calculator. Warm up 12/9 Find the percent of change, state whether it is percent increase or decrease DO NOT USE CALCULATOR 1. 30 inches to 24 inches 2. \$125 to \$500 3. An orchestra has a total of 42 violins and violas combined. The ratio of violins to violas is 5: 2. If the number of violas increases by 50%, what will be the new ratio of violins to violas. Warm up 12/10 Date Assignment # Assignment Name Poss. Pts. 1/4 47 Warm Up 15 1/4 48 Financial Literacy Foldable 10 A store owner, in Orange County, thinks pennies are a nuisance. Starting this New Year, his stores will not take pennies. He will round up to the nearest nickel. To some customers, it’s not a big deal. Some customers do not like this idea. What is your opinion on this idea of getting rid of pennies? Explain and support your opinion with evidence. Warm Up Jan 4 /Jan 5 Financial Literacy Tax What is the total cost of a sweatshirt if the regular price is \$42 and the sales tax is ? First , find the • t= 0. 055 x 42 sales tax • t = 2. 31 Part = percent X whole Tax What is the total cost of a sweatshirt if the regular price is \$42 and the sales tax is ? First , find the • t= 0. 055 x 42 sales tax • t = 2. 31 Part = percent X whole Next add the • \$42 + 2. 31 = \$44. 31 sales tax to the regular price Tip/Gratuity A customer wants to tip 15% on a restaurant bill that is \$45. What will be the total bill with tip? Find the tip Part = percent x whole • t = 0. 15 x 45 • t = \$6. 75 Tip/Gratuity A customer wants to tip 15% on a restaurant bill that is \$45. What will be the total bill with tip? Find the tip • t = 0. 15 x 45 • t = \$6. 75 Part = percent x whole Add the tip to the bill • \$45 + \$6. 75 = \$51. 75 Markup A store pays \$150 for a portable basketball backboard and the markup is 40%. What is the selling price? Find the markup Part = percent x whole • m = 0. 40 x 150 • m = 60 Markup A store pays \$150 for a portable basketball backboard and the markup is 40%. What is the selling price? Find the markup Part = percent x whole • m = 0. 40 x 150 • m = 60 • \$150 + 60 = \$210 Add the markup to the amount the store pays 1. Find the total cost to the nearest cent. \$13 haircut: 15% tip 2. Jamie went to have a manicure that cost \$30. She wanted to tip the technician 20% and the tax is 5. 75%. How much did she spend for the total manicure? Warm up Jan 6 ◦ Warm up Jan 7 / Jan 8 Discount/Markdown A shirt is regularly priced at \$42. It is on sale for 15% off of the regular price. What is the sale price of the shirt? Find the discount Part = percent x whole • d = 0. 15 x 42 • d = \$6. 30 A shirt is regularly priced at \$42. It is on sale for 15% off of the regular price. What is the sale price of the shirt? Find the discount Part = percent x whole Subtract the discount from the regular price • d = 0. 15 x 42 • d = \$6. 30 • \$42 - \$6. 30 = \$35. 70 A CD that has a regular price of \$15. 50 is on sale at a 25% discount. What is the sale price with 6. 5% tax? Find the • d = 0. 25 x 15. 50 discount • d = 3. 875 Part = percent x whole • d = 0. 25 x 15. 50 Find the • d = 3. 875 discount • Round to the nearest cent \$3. 88 Part = percent x A CD that has a regular price of \$15. 50 Subtract whole the is on sale at a 25% discount. What is discount • \$15. 50 – 3. 88 = \$11. 62 the sale price with 6. 5% tax? from the • Sale price is \$11. 62 regular price to find the sale price • d = 0. 25 x 15. 50 Find the • d = 3. 875 discount • Round to the nearest cent Part = \$3. 88 percent x whole A CD that has a regular price of \$15. 50 Subtract the • \$15. 50 – 3. 88 = \$11. 62 is on sale at a 25% discount. What is discount • Sale price is \$11. 62 the sale price with 6. 5% tax? from the regular price to find the sale price • t = 0. 065 x 11. 62 Find the • t = 0. 7553 tax using • Round to the nearest cent the sale • Tax is \$0. 76 price • d = 0. 25 x 15. 50 Find the • d = 3. 875 discount • Round to the nearest cent \$3. 88 Part = percent x A CD that has a regular price of \$15. 50 Subtract whole the is on sale at a 25% discount. What is discount • \$15. 50 – 3. 88 = \$11. 62 the sale price with 6. 5% tax? from the regular price to find the • t = 0. 065 x 11. 62 sale price Find the • t = 0. 7553 tax using • Round to the nearest cent the sale • Tax is \$0. 76 price • \$11. 62 + \$0. 76 = \$12. 38 Add the tax to the • Sale price and tax sale price Rosa buys a cell phone that is on sale for 60% off. If the sale price is \$79. 98, what is the original price? Find the % you are paying • The sale price is • 100% - 60% = 40% • You are paying 40% of the cost Rosa buys a cell phone that is on sale for 60% off. If the sale price is \$79. 98, what is the original price? Find the % you are paying • The sale price is • 100% - 60% = 40% • You are paying 40% of the cost • • • Let p = original • price • Part = Percent x whole \$79. 98 = 0. 40 p 0. 40 \$199. 95 = p The original price is \$199. 95 Simple Interest I = simple interest (money you earn in savings or addition money you pay when borrowing money) P = Principal (amount you save or borrow) R = interest rate (percent rate) T = time in years I = PRT (Simple interest formula) Jen puts \$1560 into a savings account. The account pays 2. 5% simple interest. How much interest will she earn in 3 years. • P = \$1560 Determine p, r • R = 2. 5% = 0. 025 • T= 3 years and t Jen puts \$1560 into a savings account. The account pays 2. 5% simple interest. How much interest will she earn in 3 years. • P = \$1560 Determine p, r • R = 2. 5% = 0. 025 • T= 3 years and t Use the • I=1560 x 0. 025 x 3 formula to find • I = \$117 the simple interest I=prt Mrs. Hanover borrows \$1400 at a rate of 5. 5% per year. How much simple interest will she pay if it takes 8 months to repay the loan? • P = \$1400 Determine p, r • R = 5. 5% = 0. 055 • T= 8 months and t Mrs. Hanover borrows \$1400 at a rate of 5. 5% per year. How much simple interest will she pay if it takes 8 months to repay the loan? • P = \$1400 Determine p, r • R = 5. 5% = 0. 055 • T= 8 months and t Use the • I = 1400 x 0. 055 x 2/3 formula to find • I = \$51. 33 the simple interest I = prt ◦ Maggie is taking out a student loan for \$2600. She plans on paying off the loan in 3 years. At the end of 3 years, Maggie will have paid \$390 interest. What is the simple interest rate on the student loan? • I = \$390 Determine I, p • P = \$2600 and t • T= 3 years (you are solving for the percent (r) ◦ Maggie is taking out a student loan for \$2600. She plans on paying off the loan in 3 years. At the end of 3 years, Maggie will have paid \$390 interest. What is the simple interest rate on the student loan? Determine I, • I = \$390 p and t • P = \$2600 (you are • T= 3 years solving for the percent (r) • • Find r by • using the • formula • I = prt • 390 = (2600)r(3) 390 = 7800 r 7800 . 05 = r . 05 = 5%