1. Warm UP How many seconds are there in a day?
How many total pins are knocked down if you bowl a turkey (3 strikes)?
How many pennies would you need to have 6 dollars total?

2. Unit Conversion Factor
Dimensional Analysis

3. How many seconds are there in a day?
First assess what you know:
There are 60 seconds in a minute
There are 60 minutes in an hour
There are 24 hours in a day
Cancel Units and Solve the Problem:
60 seconds x 60 minutes x 24 hours
1 minute 1 hour 1 day
= seconds
1 day

4. Important Notes
In dimensional analysis we use a line to separate two things that are equal
1 day = 24 hours IS THE SAME AS…
_1 day__ OR 24 hours
24 hours day
We multiply numbers on the top and divide by any numbers on the bottom
(BUT UNITS MUST BE CORRECT IN THE ANSWER!!!)
Units are very important, you will lose points if you forget them!

5. For Example In the previous problem…
60 seconds x 60 minutes x 24 hours 1 minute 1 hour 1 day (60 x 60 x 24) = 86,400 s/day

6. How many total pins are knocked down if you bowl a turkey?
First assess what you know:
There are 10 pins knocked down in a strike
There are 3 strikes in a turkey
Then write out the problem and cancel units:
1 Strike x 1 Turkey = 1 Turkey
10 pins 3 Strikes 30 pins
Is this the answer you want?
No – Invert your answer
ANSWER: 30 Pins knocked down/Turkey

7. How many pennies would you need to have 6 dollars total?
First assess what you know:
There are 100 pennies in a dollar
You need 6 dollars
Then write out the problem and cancel units:
100 pennies x 6 dollars = 600 pennies
1 dollar

8. Let’s Practice…
A new drug has a dosage of 2.3 mL for every 1 pound of patient’s body weight. If you have a patient who weights 198 lbs, how much drug should you give them?

9. Show Your Work! 2.3 mL X 198 lbs = 1 lb
Pounds cancel out and we are left with:
2.3 mL X 198 = mL

10. One More Important One…
If the STEELERS beat the Cowboys this season by three touchdowns (including extra points) and three field goals, how many total points will the Steelers WIN by?

11. Show Your Work: First assess what you know:
There are 7 points per touchdown
There are 3 total touchdowns
There are also 3 field goals
There are 3 points per field goal
Then write out the problem and cancel units:
7 points x 3 touchdowns = 21 points
1 touchdown
3 points x 3 field goals = 9 points
1 field goal
21 points + 9 points = 30 points

12. SI Units: Length Volume Mass Temperature Time Pressure Energy
Amount of a Substance
Luminous Intensity
Electric Current
Meters (m)
Liters (L)
Kilograms (kg)
Kelvin (K)
Seconds (s)
Pascals (Pa)
Joules (J)
Moles (mol)
Candela (cd)
Ampere (A)