Problem Solving and Scientific Notation

1. Problem Solving and Scientific Notation Monday, February 24th

2. 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.

3. 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

4. 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

5. 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

6. 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

7. 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

8. 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

9. 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

10. 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

11. 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

12. 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

13. Practice! Practice in your teams: Page 87 #2 Practice individually: Page 87 #3 – 9

14. Scientific Notation The sun is 149 600 000 km away from earth. But that’s a ridiculously long number to try to spell out to a friend. How can we write this number more efficiently?

15. Scientific Notation The sun is 149 600 000 km away from earth. But that’s a ridiculously long number to try to spell out to a friend. How can we write this number more efficiently? 149 600 000 km = 1.5 x 108 km

16. Scientific Notation To put a large number into scientific notation: • Move the decimal to the left until you have a coefficient between 1 and 9 • Count how many places you moved the decimal to the left. Multiply your coefficient by 10number of places

17. Why does scientific notation work for large numbers? 34 000  3.4 x 104. Why? 34 000 = 3.4 x 10000 = 3.4 x 104

18. Example: Scientific Notation The distance between the earth and the moon is 384 400 km. How far is it to the moon in scientific notation?

19. Practice: Scientific Notation Put 45 000 in scientific notation. • 45 x 103 • 4.5 x 103 • 4.5 x 104 • 4.5 x 10–4

20. Practice: Scientific Notation Put 45 000 in scientific notation. • 45 x 103 • 4.5 x 103 • 4.5 x 104 • 4.5 x 10–4

21. Practice: Scientific Notation Put 45 in scientific notation. • 4.5 x 102 • 4.5 x 10–2 • 4.5 x 101 • 4.5 x 10–1

22. Practice: Scientific Notation Put 45 in scientific notation. • 4.5 x 102 • 4.5 x 10–2 • 4.5 x 101 • 4.5 x 10–1

23. Practice Individually • Page 103 #1 – 9

24. Scientific Notation To put a small number into scientific notation: • Move the decimal to the right until you have a coefficient between 1 and 9 • Count how many places you moved the decimal to the right. Multiply your coefficient by 10–number of places

25. Why does scientific notation work for small numbers? 0.00034  3.4 x 10–4. Why? 34 000 = 3.4 x 0.0001 1 104 0.0001 = = 10–4 34 000 = 3.4 x 10-4

26. Example: Scientific Notation The diameter of a carbon atom is 0.0000000221cm. How big is a carbon atom in scientific notation?

27. Practice: Scientific Notation Put 0.0045 in scientific notation. • 4.5 x 103 • 4.5 x 10–3 • 4.5 x 104 • 4.5 x 10–4

28. Practice: Scientific Notation Put 0.0045 in scientific notation. • 4.5 x 103 • 4.5 x 10–3 • 4.5 x 104 • 4.5 x 10–4

29. Practice: Scientific Notation Put 45 000 000 in scientific notation. • 4.5 x 106 • 4.5 x 107 • 4.5 x 108 • 4.5 x 109

30. Practice: Scientific Notation Put 45 000 000 in scientific notation. • 4.5 x 106 • 4.5 x 107 • 4.5 x 108 • 4.5 x 109

31. Practice: Scientific Notation Put 0.45 in scientific notation. • 4.5 x 102 • 4.5 x 10–2 • 4.5 x 101 • 4.5 x 10–1

32. Practice: Scientific Notation Put 0.45 in scientific notation. • 4.5 x 102 • 4.5 x 10–2 • 4.5 x 101 • 4.5 x 10–1

33. Practice in your teams! Write these numbers in scientific notation: • 23400 • 0.00234 • 35 000 000 • 0.035

34. Practice Individually • Page 103 #1 – 9 • Page 115 #1 – 6