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

Homework Review

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

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

What is

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

Think about this…

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

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

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

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

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

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

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

Dimensional Analysis WS CW/HW Dimensional Analysis WS