1. Warm-up: Solve for x.
x = -7
x = 50
15000 m

2. Homework Review

4. Foundations of Algebra
UNIT QUESTION: Why is it important to understand the relationship between quantities?
Standard: MCC9-12.N.Q.1-3, MCC9-12.A.SSE.1, MCC9-12.A.CED.1-4
Today’s Question:
How are unit conversions performed, and why is it important?
Standard: MCC9-12.N.Q.1 and N.Q.2

5. Let’s Begin to Talk about dimensional Analysis…
What is the reciprocal of ?
What is

6. What is

7. Our goal with dimensional Analysis is to make units cancel out to……1

8. Think about this…

9. Given quantity w/its unit Set up conversion factor
Steps:
Given quantity w/its unit
Set up conversion factor
Divide Units – only the desired unit should be left
Solve the problem

10. Example 1 Let’s look a the metric problems a different way.
Convert 35m to km.
35 meters dekameters hectometers kilometer =
10 meters dekameters hectometers
.035 KM

11. Example 2
An aspirin tablet contains 325 mg of active ingredient. How much is this in cg?
325 mg
1 cg = 1
10 mg 10
= 32.5cg of active ingredient

12. Example 3
Bob studied for 2.5 hrs. How many minutes did he study for? Initial unit = hr. Final unit = _______

13. How many minutes are in 2.5 hours?
Initial unit 2.5 hr Conversion Final factor unit 2.5 hr x 60 min = 150 min 1 hr

14. Example 4
How many seconds are in 1.4 days? Unit plan: days hr min seconds 1.4 days x 24 hr x ?? 1 day

15. Solution
Unit plan: days hr min seconds 1.4 day x 24 hr x 60 min x 60 sec 1 day 1 hr 1 min = 120,960 sec

16. Dimensional Analysis WS
CW/HW
Dimensional Analysis WS