1. Dimensional Analysis Scientific Notation

2. Common Core Connection
Objectives:
Today I will be able to:
Apply scientific notation to problem solving.
Calculate multiplication and division problems using scientific notation.
Apply dimensional analysis to solving metric coversions
Informal Assessment – monitoring student interactions as they complete the scientific notation practice
Formal assessment – math assessment/scientific notation practice and exit ticket
Common Core Connection
Make sense of problem and persevere in solving them
Model with mathematics

3. Lesson Sequence Evaluate: Warm-Up Explain: Scientific Notation Notes
Elaborate: Scientific Notation Practice
Explain: Dimensional Analysis Notes
Elaborate: Dimensional Analysis Practice
Evaluate: Exit Ticket

4. Warm-Up
Solve and record your answer to the correct number of sig figs.
= _____________
= ____________
34.5 x = _____________
x 65.4 = ______________

5. Objective Today I will be able to:
Apply scientific notation to problem solving.
Calculate multiplication and division problems using scientific notation.
Apply dimensional analysis to solving metric coversions

6. Homework Complete the dimensional analysis practice
Wear closed toed shoes for lab on Wednesday and Thursday

7. Agenda Warm-Up Scientific Notation Notes Scientific Notation Practice
Dimensional Analysis Notes
Dimensional Analysis Practice
Exit Ticket

8. Scientific Notation Notes

9. In groups, brainstorm 3 examples of things that scientists/ engineers could study that would be large enough or small enough for scientific notation to be used to describe them

10. Standard Notation to Scientific Notation cont.
Examples
(Standard Notation)
Move the decimal to the left, exponent is positive
4.89 x 108 (Scientific Notation)
Numbers greater than 1 always have a positive exponent in scientific notation
(Standard Notation)
Move the decimal to the right, exponent is negative
1.23 x 10-4
Numbers less than 1 always have a negative exponent in scientific notation

11. Scientific Notation to Standard Notation cont.
Examples
3.47 x 105 (Scientific Notation)
Exponent is positive, move to the right
(Standard Notation)
7.82 x 10-4 (Scientific Notation)
Exponent is negative, move to the left
(Standard Notation)

12. Let’s Think… Place the following numbers into scientific notation

13. Multiplying/Dividing in Scientific Notation
Multiply or divide the numbers first
(don’t include x 10exp)
When multiplying, add the exponents together
When dividing, subtract the exponents
Make sure there is only one number before the decimal place in scientific notation. You may have to move the decimal so there is only one

14. Multiplying/Dividing Scientific Notation cont.
Examples:
(2.0 x 105)(7.0 x104)=
1.4 x 1010
(15.0 x 107) / (3.0 x 109)=
5.0 x 10-2

15. Scientific Notation Practice
Complete the practice at your desk. We will review selected answers as a class.

16. Dimensional Analysis Notes

17. Conversion Factor 12 inches 1 foot 7 days 1 week ½
A Fraction that is equal to the number one
Two quantities that equal the same thing
12 inches
1 foot
7 days
1 week .5

18. Dimensional Analysis 1 dozen 12 eggs 12 eggs 1 dozen Yes!
Do these two fractions equal the same quantity?
1 dozen
12 eggs
12 eggs
1 dozen
Yes!

19. Dimensional Analysis Problem Solving Tips
Read the problem
Write down what you are given, put it over 1
Write down what you are looking for
List all possible conversion factors for the problem
Make a road map
Solve the problem

20. Practice Problem 1 10 hours 1
Q: How many minutes are there in 10 hours?
1. Read the problem
2. Write down what you are given, put it over 1
3. Write down what you are looking for.
The number of minutes
x minutes
10 hours 1

21. Practice Problem 1 Cont 1 hour 60 minutes 60 minutes 1 hour
4. List all possible conversion factors for the problem
-We know that one hour = 60 minutes
5. Make a road map
Hours ? Minutes
1 hour minutes
60 minutes hour

22. Practice Problem 1 Cont. 10 hours . 1 hour = 10 hours 2
6. Solve the problem
We also know that when you multiply, if 2 quantities are placed in opposite corners of each other, they will cancel out
For example,
Incorrect, the units do not cancel out
10 hours hour = hours 2
minutes minutes

23. Practice Problem 1 cont. 10 hours . 60 minutes = 600 minutes 1 1 hour
7. Solve for Correct Answer!
10 hours minutes = minutes
hour

24. Practice Problem 2 Q: How many minutes are there in 12 weeks?
Weeks  Days  Hours  ? Minutes
12 weeks days hours . minutes =
week day hour
12 weeks . 7 days . 24 hours . 60 minutes =
week day 1 hour

25. = 1,048,320 minutes or 1,051,200 minutes (365 days)
Practice Problem 3
Q: How many minutes are there in 2 years?
Years  Weeks  Days  Hours  Minutes
2 years weeks days hours . minutes =
1 year week day hour
2 years . 52 weeks . 7 days . 24 hours . 60 minutes =
year week day hour
= 1,048,320 minutes or ,051,200 minutes (365 days)

26. Practice Problem 4 500 mL . 1 Liter = 0.500 L 1 1000 mL
Q: How many liters are in 500 mL? mL  ? L
500 mL Liter = L mL

27. Practice Problem 5 20 kg . 1000 g . 1000 mg = 2 x 107 mg 1 1 kg 1 g
Q: How many milligrams are there in 20 kg? kg  g  ? mg
20 kg g mg = 2 x 107 mg
kg g

28. Dimensional Analysis Practice

29. Exit Ticket
Activity
Find your matching partner by finding the correct standard notation and scientific notation pair
With your partner discuss the following questions:
If you could have one special superhero power, what would it be?
Would you rather have Cheetos fingers, or a popcorn kernel stuck in the back of your throat, for the rest of your life?