WARM-UP: SOLVE FOR X.
1. 2 x  7  5 x  14
x = -7
x
2.
 10
x = 50
5
3
3. Solve for y. 3 x  4 y  8 y  4 x  2
4. Emily ran 3 5K races (5km)
this summer. How many meters
did she run?
15000 m
HOMEWORK REVIEW
Imagine This!
You’re driving along a highway in Mexico when you
notice this sign
What should your speed be in miles per hour?
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
?
What is
x
y
 ?
y
x
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.
EXAMPLE 2
An aspirin tablet contains 325 mg of
active ingredient. How much is this in
cg?
325 mg
1
1 cg
10 mg
=
325
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
factor
2.5 hr x 60 min
1 hr
DIVIDE OUT
Final
unit
= 150 min
EXAMPLE 4
How many seconds are in 1.4 days?
Unit plan: days
hr
1.4 days x 24 hr x
1 day
min
seconds
??
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.
= 205.3 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