Ratios, Fractions, and Percentages

1. Ratios, Fractions, and Percentages Friday, February 21st

2. Ratios to Fractions 3 4 3:4 = Ratio Fraction

3. Ratios to Fractions to Decimals 3 4 3:4 = = 0.75 Ratio Fraction Decimals

4. Ratios to Fractions to Decimals to Percentages 3 4 3:4 = = 0.75 = 75% Ratio Fraction Decimals Percents

5. Practice Individually Write the following as a ratio, a fraction, a decimal, and a percentage. 4 5 0.7 120% 3:2

6. Using Percentages To find out X% of an amount: Step 1. Turn the percentage into a decimal Step 2. Multiply the decimal by the original amount

7. Using Percentages Example #1: What is 33.5% of 3000? Example #2: What is 7% of 400?

8. Using Percentages Example: In 1900, there were about 40 000 tigers in India. By 1972, that had decreased to 4% of the original number. Hunting tigers was banned then, and now the number of tigers has increased to 250% of the number in 1972. • How many tigers were there in India in 1972? • How many tigers are there in India today?

9. In Your Teams! 1. Write the following as a ratio, a fraction, a decimal, and a percentage. 9 7 3.378 27:81 5.5% 2. What is 5.5% of 300? 3. What is 340% of 300?

10. In Your Teams! 4. If the crow population in Chatham increases from 600 000 crows to 654 000 crows, what percentage is the new crow population of the old crow population?

11. Simple Interest Final amount = (Principal) + (Principal)(Rate)(Time) A = P + Prt Principal (P) = the original amount of money invested Final Amount (A) = how much money you have at the end Interest rate (r) = interest rate as a decimal Time (t) = time that your money is invested

12. Interest Kate deposits $1000 to save for a new computer. If she invests at a 5% annual interest rate, how much does she have saved after 1 year? • 1050$ • 1500$ • 5000$ • 6000$

13. Interest Kate deposits $1000 to save for a new computer. If she invests at a 5% annual interest rate, how much does she have saved after 1 year? • 1050$ • 1500$ • 5000$ • 6000$

14. Interest Kate deposits $1000 to save for a new computer. If she invests at a 5% annual interest rate, how much interest did Kate earn in one year? • 5$ • 50$ • 500$ • 1000$

15. Interest Kate deposits $1000 to save for a new computer. If she invests at a 5% annual interest rate, how much interest did Kate earn in one year? • 5$ • 50$ • 500$ • 1000$

16. Interest Kate deposits $1000 to save for a new computer. If she invests at a 5% annual interest rate, how much will she have in 4 years? • 200$ • 1200$ • 2000$ • 3000$

17. Interest Kate deposits $1000 to save for a new computer. If she invests at a 5% annual interest rate, how much will she have in 4 years? • 200$ • 1200$ • 2000$ • 3000$

18. Practice Individually Page 77 #10 – 15, 29 – 33,47 – 52, 62 – 68, 74 – 76

19. Problem Solving Sometimes we’re faced with questions that take more than just steps to figure out. Example: A cat, dog, monkey, and elephant happen to be named Trixie, Walter, Snow, and Bob. Use the clues to figure out who is named what. • Trixie is a friend of the cat and the elephant • The dog and Bob enjoy stealing popcorn • Snow and Bob have joined the monkey in hatching a secret plant to join our math class • The elephant prefers art over math class.

20. Problem Solving Example: A cat, dog, monkey, and elephant happen to be named Trixie, Walter, Snow, and Bob. Use the clues to figure out who is named what. • Trixie is a friend of the cat and the elephant • The dog and Bob enjoy stealing popcorn • Snow and Bob have joined the monkey in hatching a secret plant to join our math class • The elephant prefers art over math class. Cat Dog Monkey Elephant Trixie Walter Snow Bob

21. Problem Solving Example: A cat, dog, monkey, and elephant happen to be named Trixie, Walter, Snow, and Bob. Use the clues to figure out who is named what. • Trixie is a friend of the cat and the elephant • The dog and Bob enjoy stealing popcorn • Snow and Bob have joined the monkey in hatching a secret plant to join our math class • The elephant prefers art over math class. Cat Dog Monkey Elephant Trixie No No Walter Snow Bob

22. Problem Solving Example: A cat, dog, monkey, and elephant happen to be named Trixie, Walter, Snow, and Bob. Use the clues to figure out who is named what. • Trixie is a friend of the cat and the elephant • The dog and Bob enjoy stealing popcorn • Snow and Bob have joined the monkey in hatching a secret plant to join our math class • The elephant prefers art over math class. Cat Dog Monkey Elephant Trixie No No Walter Snow No Bob

23. Problem Solving Example: A cat, dog, monkey, and elephant happen to be named Trixie, Walter, Snow, and Bob. Use the clues to figure out who is named what. • Trixie is a friend of the cat and the elephant • The dog and Bob enjoy stealing popcorn • Snow and Bob have joined the monkey in hatching a secret plant to join our math class • The elephant prefers art over math class. Cat Dog Monkey Elephant Trixie No No Walter Snow No No Bob No

24. Problem Solving Example: A cat, dog, monkey, and elephant happen to be named Trixie, Walter, Snow, and Bob. Use the clues to figure out who is named what. • Trixie is a friend of the cat and the elephant • The dog and Bob enjoy stealing popcorn • Snow and Bob have joined the monkey in hatching a secret plant to join our math class • The elephant prefers art over math class. Cat Dog Monkey Elephant Trixie No No Walter Snow No No No Bob No No

25. Problem Solving Example: A cat, dog, monkey, and elephant happen to be named Trixie, Walter, Snow, and Bob. Use the clues to figure out who is named what. • Trixie is a friend of the cat and the elephant • The dog and Bob enjoy stealing popcorn • Snow and Bob have joined the monkey in hatching a secret plant to join our math class • The elephant prefers art over math class. Cat Dog Monkey Elephant Trixie No No Walter Snow No No No Bob No No Yes

26. Problem Solving Example: A cat, dog, monkey, and elephant happen to be named Trixie, Walter, Snow, and Bob. Use the clues to figure out who is named what. • Trixie is a friend of the cat and the elephant • The dog and Bob enjoy stealing popcorn • Snow and Bob have joined the monkey in hatching a secret plant to join our math class • The elephant prefers art over math class. Cat Dog Monkey Elephant Trixie No No Walter No Snow No No No No Bob No No Yes

27. Problem Solving Example: A cat, dog, monkey, and elephant happen to be named Trixie, Walter, Snow, and Bob. Use the clues to figure out who is named what. • Trixie is a friend of the cat and the elephant • The dog and Bob enjoy stealing popcorn • Snow and Bob have joined the monkey in hatching a secret plant to join our math class • The elephant prefers art over math class. Cat Dog Monkey Elephant Trixie No No No Walter No No Yes Snow No No No No Bob No No Yes

28. Problem Solving Example: A cat, dog, monkey, and elephant happen to be named Trixie, Walter, Snow, and Bob. Use the clues to figure out who is named what. • Trixie is a friend of the cat and the elephant • The dog and Bob enjoy stealing popcorn • Snow and Bob have joined the monkey in hatching a secret plant to join our math class • The elephant prefers art over math class. Cat Dog Monkey Elephant Trixie Yes No No No Walter No No No Yes Snow No No No No Bob No No Yes

29. Problem Solving Example: A cat, dog, monkey, and elephant happen to be named Trixie, Walter, Snow, and Bob. Use the clues to figure out who is named what. • Trixie is a friend of the cat and the elephant • The dog and Bob enjoy stealing popcorn • Snow and Bob have joined the monkey in hatching a secret plant to join our math class • The elephant prefers art over math class. Cat Dog Monkey Elephant Trixie Yes No No No Walter Yes No No No Yes Snow No No No No Bob No No Yes

30. Practice Individually Page 77 #1, 10 – 15, 22, 29 – 33, 38 – 43, 47 – 52, 62 – 68, 74 – 76 Page 87 #1 – 9