1. Dimensional Analysis

2. Formal assessment –practice and exit ticket Common Core Connection
Objectives:
Today I will be able to:
Apply dimensional analysis to solving metric coversions
Informal Assessment – monitoring student interactions as they complete the practice
Formal assessment –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 Evaluate: Review GT Math Assessment
Explain: Dimensional Analysis Notes
Elaborate: Dimensional Analysis Practice
Evaluate: Exit Ticket

4. Warm- Up Place the following numbers into scientific notation
What is the purpose of putting numbers into scientific notation?

5. Objective Today I will be able to:
Apply dimensional analysis to solving metric coversions

6. Homework Complete the dimensional analysis practice
Study for Intro to Chem Quiz Wednesday, September 9
Lab Safety
Accuracy and Precision
Scientific Notation
Sig Figs
Dimensional Analysis

7. Agenda Warm-Up Math Assessment Review Dimensional Analysis Notes
Dimensional Analysis Practice
Exit Ticket

8. Math Assessment Review
Ms. Ose will pass back the assessment from last week. We will review problems that you have a question about.

9. Dimensional Analysis Notes

10. Conversion Factor 12 inches 1 foot 7 days 1 week
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 ½

11. 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!

12. 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

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

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

15. Practice Problem 1 Cont. 10 hours . 1 hour = 10 hours 2
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
Incorrect, the units do not cancel out
10 hours hour = hours 2
minutes minutes

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

17. Practice Problem 2 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 =
1 week day hour

18. = 1,048,320 minutes or 1,051,200 minutes (365 days)
Practice Problem 3
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)

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

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

21. Dimensional Analysis Practice

22. Exit Ticket
Describe how the units should be arranged in a dimensional analysis problem when solving to get the correct answer.