WARM-UP: SOLVE FOR X. x = -7 x = m

HOMEWORK REVIEW

CCGPS COORDINATE ALGEBRA DAY 4 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

STEPS: 1.Given quantity w/its unit 2.Set up conversion factor 3.Divide Units – only the desired unit should be left 4.Solve the problem

EXAMPLE 1 Let’s look a the metric problems a different way. Convert 35m to km.

An aspirin tablet contains 325 mg of active ingredient. How much is this in cg? EXAMPLE mg1 cg = 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 DIVIDE OUT

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 13

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

EXAMPLE 5 John Isner serves 140 miles per hour. How fast is that in feet per second?

SOLUTION 140 miles x 5,280 ft. x 1 hr x 1 min = 1 hr 1 mile 60 min 60 sec. = ft/sec.

EXAMPLE 6 If a 3 day boating trip covers 150 miles and you are boating 5 hours a day, how many miles must you boat each hour? 10 miles per hour

CW/HW LITERAL EQUATIONS & DIMENSIONAL ANALYSIS WS