1. Guided Notes – Percentages
Date____________
Percent Definition: A _________________ that compares a number to ___________.
To Convert a Fraction to Percent:
_____________________ the numerator by the ___________________.
Multiply by ______________. (move decimal over ______ spaces)
Examples:
1) The Waynesville High School library has 500 books books were checked out this year. What percentage of the books were checked out this year?
3) A service club is planting seedlings as part of an erosion prevention project. Out of 240 newly planted seedlings, 30 are laurel sumac. What percent of the seedlings are laurel sumac?
4) Mrs. Loya sponsors the Spanish club at Central Middle School. The club has 8 members who are sixth graders, 12 members who are seventh graders, and 10 members who are eighth graders. What percent of the Spanish club members are seventh graders?
Estimating Examples: 2) 1)
Two Step Percent Problems
1) The eighth grade basketball team had tryouts last week. 17 out of 20 students who tried out made the team. What percent of students who tried out did NOT make the team?
2) Mrs. Graf has 150 students total. If 120 students turned in their weekly review, what percent of her students did not turn in their weekly review?

2. Converting Rational Numbers:
1.) Write the following percentages as a fraction in simplest form:
a) 45% = ________________
b) 13.5% = ________________
c) 120% = ________________
d) 80% = _________________
3.) Convert the following percentages to decimals:
a) 71% = __________________
b) 213% = _____________________
c) 8% = ___________________
d) 16% = ______________________
4.) Write the following decimals as percentages:
a) 1.25 = __________________
b) 0.03 = ______________________
c) 0.43 = __________________
d) 4.07 = ______________________

3. Guided Notes – Percent Change
Date____________
Percent Increase: when the value _______________ 100% of the original value
Example: 50 to 75 (50% increase)
Percent Decrease: when the value __________________100% of the original value
Example: 50 to 25 (50% decrease)
To Find a New Value:
Change the percent to a ________________________________.
__________________________by the original amount.
___________________ for an increase and ________________________ for a decrease.
OR 1) _________________ or __________________ the percent to/from 100
2) Multiply
Example 1:
The Waynesville High School library has 500 books. Next year, they would like to increase the number of books they have by 52%. If they reach their goal, how many books would they have next year?
Example 2
The Waynesville High School band has 45 members. Next year, they would like to increase their membership by 20%. If they reach their goal, how many members would they have next year?
Example 3
The Dayton Transportation Department recorded 200 crashes in October. Next month, they would like to decrease their crashes by 25%. If they reach their goal, how many crashes would they have next month?
Example 4
The Dayton Fire Department recorded 120 fires in October. Next month, they would like to decrease the fires by 20%. If they reach their goal, how many fires would they have next month?

4. To Find a Percent Increase or Decrease:
1) Find the amount (not percent) of change by ______________________
__________________________________ by original
Change to _____________________________________
Example 2: Growing up, you lived in a tiny country village. When you left for college, the population was 840. You recently heard that the population was Is this a percent increase or decrease? What is the percent change?
Increase or Decrease: ____________
Percent change _____________
Example 1: Janie starts playing sports and gets into shape. She goes from 125 pounds to 110 pounds. Is this a percent increase or decrease? What was her percentage weight loss?
Increase or Decrease: ____________
Percent change _____________
Example 4: Last year, only 8 athletes played on the girls tennis team. This year 10 people played. Is this a percent increase or decrease? By what percentage?
Increase or Decrease: ____________
Percent change _____________
Example 3: One week 24 people in Waynesville got speeding tickets. The next week only 16 people got speeding tickets. Is this a percent increase or decrease? What is the percent change?
Increase or Decrease: ____________
Percent change _____________
PARCC Practice:
What has the greatest percent of change?
A tree grew from 6 feet to 12 feet
An aquarium that was originally priced at $80 is now $60
A person whose salary was $100 per week is now earning $120 per week
A baby who weighed 7 pounds at birth now weighs 16 pounds

5. Guided Notes – Percent of a Number
Date____________
OF tells you to:
Step 1: Change percent to ________________________________________
Step 2: _________________________________________________.
Examples
1) A car company found that 3% of all headlights are defective after 2 months. If they recently received a shipment of 1,350 headlights, approximately how many of the headlights may be defective?
2) Your school newspaper’s budget this year is 160% of last year’s budget, which was $2125. What is this year’s budget?
PARCC PRACTICE: 1)

6. 2) Each bulleted statement describes how the amount of income tax is determined for yearly income in different ranges (for a married couple who files jointly).
Yearly income of $17,850 or less are taxed at a flat rate of 10%.
For yearly incomes from $17,851 to $72,500, the first $17,850 is taxed at 10% and any income beyond $17,850 is taxed at 15%.
For yearly incomes greater than 72,500, the first $17,851 is taxed at 10%, the next $54,649 is taxed at 15%, and any income beyond $72,500 is taxed at 25%.
Part B
Molly’s mom makes $20 each hour before taxes are taken out. She worked a total of 38 hours each week for 49 weeks. Molly’s dad’s yearly taxable income is $60,250. What is the dollar amount taken out for taxes based on Molly’s parents’ incomes?
Part A
Jaxson’s mom has a yearly taxable income of $32,500. Jaxson’s dad has a yearly taxable income of $35,700. As a family, what is the dollar amount taken out for taxes based on Jaxson’s parents’ income?
You Try:
Mr. Cross earned $30,000 last year. He must pay taxes of 10% on earnings up to $8,500, and he must pay taxes of 15% on the rest of his earnings. What is the total amount he must pay in taxes for his earnings last year?
Mario worked 40 hours per week for 50 weeks and earned $8 per hour last year. He must pay 10% on earnings up to $8,500 and he must pay 15% on the rest of his earnings. What is the total amount he must pay in taxes for his earnings last year?

7. Guided Notes – Tax, Tip, Discount Date_________
Gratuity: (Tip) A percent earned by a person for providing a service
The tip is a ___________________ OF your bill
Step 1: ____________________ the percent by the bill to get the tip
Step 2: ___________ the answer to ____________________________
Example 1:
You want to leave a 15% tip. If your meal costs $10, how much should you leave for a tip?
How much did you spend altogether?
Example 2:
You want to leave a 20% tip. If your meal costs $15, how much should you leave for a tip?
How much did you spend altogether?
Example 3:
You want to leave a 15% tip. If your meal cost $10, how much did you spend altogether?
Example 4:
Your bill at Bob Evans is $ If you want to leave 20% gratuity, what will be the total amount that you spent?
Going Backwards (Finding the Bill):
It may be helpful to set up a ___________________________.
Example 2: Eric’s family leaves a tip of $18, which was 15% of the cost of their bill. How much did their meal cost?
Example 1: Justin leaves a tip of $6, which was 20% of the cost of his meal. How much did his meal cost?

8. Sales Tax: A percent of a purchase charged by the government
Tax is a ___________________ OF your purchase
Step1: ____________________ the percent by the purchase to get the tax
Step 2: ___________ the answer to ____________________________
Example 1:
The sales tax is 6.5%. If you buy a television for $500, what will your total price be?
Step 1: Multiply the percent by your price (to get your tax)
6.5% x 500 = ___________
Step 2: Add tax to the original amount to get the total!
500 + _________ = $________ Total Price
Example 2:
The sales tax is 7%. If you spent $60 on items, how much is your sales tax?
Including tax, how much did you spend?
Example 3:
Menu:
Hamburger meal $8.75
Drink $2.50
You and your friend each order a hamburger meal and a drink. What is your total amount you will spend?
What is the tax of the meal with a 6.5% tax?
What is the final bill?
Example 4:
The bill for a family dinner was $49.53.
What is the bill with a 6.5% tax?
What is the total so far?
Mr. Jones wants to leave about 15% of the bill as a tip. What is the tip?
What is the total amount he paid?

9. Guided Notes Percent: Date _______
DISCOUNTS:
To calculate discounts and/or multiple discounts:
Step1: Find the _______________________________ you’re paying (by subtracting from 100)
Step 2: Change percent to _________________________ and _____________________ by original
Step 3: __________________________________ for multiple discounts
Examples:
1. Find 30% off of a CD that cost $15.
2. A stereo is $ It is marked as 15% off the original price. What is sale price? 3) 4)
5) Jackson wants to buy a television. The television is $800 but is marked 10% off. He sees an ad in the paper that reads “get an addition 20% off any already marked down prices.” Jackson thinks this means he will get 30% off of $800. Is he correct or incorrect, and why? Use mathematics to prove your answer.

10. What is the discounted price? _________
TAX and DISCOUNT:
Step1: Find the _______________________________ you’re paying (subtracting from 100)
Step 2: Change percent to _________________________ and _____________________ by original
Step 3: Change tax to _____________________ and multiply by new price (*keep in mind you need to move the decimal 2 spaces!!! For example, 6.5% = .065
Step 4: Add tax to total 1) 2)
A pair of jeans that you want to buy costs $ The jeans are on sale for 15% off. Sales tax is 7% added to the price. What will the total be at the checkout?
What is the discounted price? _________
What is 7% of the discounted price _______
What is your final total at checkout ________
Aimee is decorating her new house. She found a table at Pier One for $425. If the table is 25% off and she has to pay a 6% tax, what will be her final price at checkout?
What is the discounted price? ________
What is 6% of the discounted price? ______
What is your final total at checkout? ___________
TAX and TIP: (Both are added to bill)
1.) Julie’s service charge at a beauty salon was $ She also had to pay sales tax, and the rate was 8%. If she added 20% as a tip (on the total with tax), how much did she pay for the service at the salon? Show your work. Circle your answer.
2.) Mrs. Graf ate at Stonehouse Tavern. Mrs. Graf’s bill came to $ A tax of 7% was added to the bill. Then she tipped the waiter on the total (of the final price and tax). How much did she spend? Show your work. Circle your answer.
3.) The Warner Family decided to go to dinner at Bob Evan’s Restaurant. At the end of dinner, they receive a bill for $ They have a 15% off coupon on their entire meal. A sales tax of 7.25% will be added to the meal (with the discount). If they plan on leaving a 20% tip (on the discounted meal with tax), how much will they spend? Show your work. Circle your final answer.

11. Multiple Discounts: 1) 2)
3) Extended Response Example:
Going Backwards (finding the original price):
It may be helpful to set up a ___________________________.
Example 1:
A TV is selling at a discount of 25%. The sale price is $ What was the original price of the TV?
Example 2:
A shirt is selling at a discount of 10%. The sale price is $ What was the original price of the TV?

12. Guided Notes – Tax, Tip, Discount Date_________
Gratuity: (Tip) A percent earned by a person for providing a service
The tip is a ___________________ OF your bill
Step 1: ____________________ the percent by the bill to get the tip
Step 2: ___________ the answer to ____________________________
Example 1:
You want to leave a 15% tip. If your meal costs $10, how much should you leave for a tip?
How much did you spend altogether?
Example 2:
You want to leave a 20% tip. If your meal costs $15, how much should you leave for a tip?
How much did you spend altogether?
Sales Tax: A percent of a purchase charged by the government
Tax is a ___________________ OF your purchase
Step1: ____________________ the percent by the purchase to get the tax
Step 2: ___________ the answer to ____________________________
Example 1:
The sales tax is 6.5%. If you buy a television for $500, what will your total price be?
Step 1: Multiply the percent by your price (to get your tax)
6.5% x 500 = ___________
Step 2: Add tax to the original amount to get the total!
500 + _________ = $________ Total Price
Example 2:
The sales tax is 7%. If you spent $60 on items, how much is your sales tax?
Including tax, how much did you spend?

13. To calculate discounts and/or multiple discounts:
Markdowns:
To calculate discounts and/or multiple discounts:
Step1: ____________________ the percent by the purchase
Step 2: ___________ the answer from ____________________________
(Sometimes) Step 3: _____________ the additional percentage by the new sale price
(Sometimes) Step 4: _____________ the additional discount by the new sale price
1. A sweater is selling at a discount of 45%. The original price is What was the sale price of the sweater?
2. Elise is buying two coats for her children. Margaret’s coat costs $40.00 but is 25% off. Justin’s coat cost $34.00 but is 10% off. Which coat is the better deal?
If she buys them both, how much will she spend? (without tax)
Multiple Discounts: 1) 2)
Discounts and Tax: 1)
A pair of jeans that you want to buy costs $ The jeans are on sale for 15% off. Sales tax is 7% added to the price. What will the total be at the checkout?
What is the discounted price? _________
What is 7% of the discounted price _______
What is your final total at checkout ________ 2)
Aimee is decorating her new house. She found a table at Pier One for $425. If the table is 25% off and she has to pay a 6% tax, what will be her final price at checkout?
What is the discounted price? ________
What is 6% of the discounted price? ______
What is your final total at checkout? ___________

14. Multistep Step Problems
Percent of a Variable
Date____________
960 students of a high school have a D or an F. This number is 40% of the population of the school. How many students attend the school?
Expression ______________________
Answer __________________
21 seventh grade students won the physical fitness award. This is 15% of the students in the seventh grade. How many students are in the seventh grade?
Expression ______________________
Answer __________________
3) A salesperson receives a 3% commission on the sales. The salesperson receives $180 in commission. What is the amount of sales?
Your school raised 125% of its fundraising goal. The school raised $6,750. What was the goal?
Multistep Step Problems 2)
1) You have a large container of olive oil. You have used 22½ quarts of oil. Twenty five percent of the olive oil remains. How many quarts of olive oil remain?
Expression ______________________
Answer __________________

15. Working Backwards with Markup and Markdowns
Together
On Your Own
1) Kelsey bought flowers from a florist for her mom’s birthday. Kelsey bought a dozen roses and was charged $ If tax was 6%, how much did each rose cost before tax?
2) Nick bought a card for each of his grandmothers (he has two). He was charged $ If the tax was 7%, how much did each card cost before tax?
Equation ________________________
Simplified _______________________
Answer ______________
Equation ________________________
Simplified _______________________
Answer ______________
3) A TV is selling at a discount of 20%. The sale price is $ What was the original price of the TV?
4) Mark bought a sweater at a discount of 15%. The sale price is $ What was the original price of the TV?
Equation ________________________
Simplified _______________________
Answer ______________
Equation ________________________
Simplified _______________________
Answer ______________
5) Grace bought a computer at 30% off. She had to pay 6% tax. If Grace spent $593.60, what was the original price of the computer?
6) Nathan bought a shirt at 20% off. He had to pay 7% tax. If Nathan spent $34.24, what was the original price of the shirt?
Equation ________________________
Simplified _______________________
Answer ______________
Equation ________________________
Simplified _______________________
Answer ______________

16. Guided Notes – Simple Interest
Date ____________
Simple Interest: Money _____________ or ______________ on the principal amount
When is it paid? ____________________________________________________________
When is it earned? _________________________________________________________
Formula:
I = P x r x t
Where I is _______________________________________
P is _________________ or ____________________________________
r is ________________________ (as a ______________________)
T is ________________ (in _________________)
1) Suppose a bank is offering its customers 3% interest on savings accounts. If a customer deposits $1500 in the account, how much interest does the customer earn in 5 years?
How much does the customer have in the bank after 5 years?
2) Kelly plans to put her graduation money into an account and leave it there for 4 years while she goes to college. She receives $750 in graduation money that she puts it into an account that earns 4.25% interest. After 4 years, how much has Kelly earned in interest?
How much will be in Kelly’s account at the end of four years?
3) Suppose you borrow $10,000 to pay for your last year of college. The interest rate is 8%. If you plan on paying off the loan in 10 years, how much will you pay in interest?
How much will you pay for the loan altogether?
4) Adam plans to put his birthday money into an account and leave it there for 10 years. He receives $400 in birthday money that he puts into an account that earns 5% interest. After 10 years, how much has Adam earned in interest?
How much will be in Adam’s account at the end of ten years?

17. Problem Solving When Finding the Rate or Time Rewrite the formula
_________________________________ what you know
___________________________
______________________________ for the missing variable
1) You put $1000 in an account. The account earns $100 simple interest in 4 years. What is the annual interest rate?
2) You put $600 in an account. The account earns $405 simple interest in 9 years. What is the annual interest rate?
3) How long does it take an account with a principal of $10,000 to earn $750 in interest if the rate is 15%?
4) You put $3000 in an CD (certificate of deposit) at the promotional rate of 5.6%. How long will it take to earn $336 in interest?
If Time is NOT in years, you must use the fractional portion of a year.
1) You put $400 in an account. The account earns $18 simple interest in 9 months. What is the annual interest rate?
2) Find the total in your account after 54 months with a principal of $5,200 and an interest rate of 7.36%.
Problem Solving
1) You have two loans, for 2 years each. The total interest for the two loans is $138. On the first loan, you pay 7.5% simple interest on a principal of $800. On the second loan, you pay 3% simple interest. What is the principal for the second loan?
2) A music company offers a loan to buy a $1500 drum set at a rate of 11.8% for 2 years. What is the monthly payment?

18. Guided Notes – Using Equations to Solve Percent Problems
Date ____________
INTEREST Formula ______________________________
Where I is _______________________________________
P is _________________ or ____________________________________
r is ________________________ (as a ______________________)
T is ________________ (in _________________)
1) You put $1000 in an account. The account earns $100 simple interest in 4 years. What is the annual interest rate?
2) You put $600 in an account. The account earns $405 simple interest in 9 years. What is the annual interest rate?
PERCENT CHANGE
Example 1: Janie starts playing sports and gets into shape. She goes from 125 pounds to 110 pounds. Is this a percent increase or decrease? What was her percentage weight loss?
Increase or Decrease: ____________
Percent change _____________
Example 2: One week 24 people in Waynesville got speeding tickets. The next week only 16 people got speeding tickets. Is this a percent increase or decrease? What is the percent change?
Increase or Decrease: ____________
Percent change _____________
Example 3: Linus is buying a shirt on sale. He pays $8.75 for a shirt that originally cost $ What was the percent discount? Increase or Decrease: ____________
Percent change _____________
Example 2: One week 24 people in Waynesville got speeding tickets. The next week only 16 people got speeding tickets. Is this a percent increase or decrease? What is the percent change?
Increase or Decrease: ____________
Percent change _____________