1. Warm up

2. Dimensional Analysis

3. Dimensional Analysis What happens when you divide a number by itself?
What happens when you divide a unit by itself?
In both cases, you get the number 1.
What happens when you have a number over 1?
Dimensional analysis involves multiplication and division.
Focus on cancelation of UNITS
Just another name for unit conversion

4. Dimension Analysis

5. Conversion factors To convert between units:
Figure out what CONVERSION FACTOR you need to perform your calculation
Conversion factors – take a definition and turn it into a fraction– for example:
There are 12 inches in 1 foot
12 inches or foot
1 foot inches

6. Examples of dimensional analysis
Multiply across the top. Divide by whatever’s on the bottom

7. Examples:
1. A football field is 110 yards from field gold to field gold. How many feet make up a football field?
2. There are 8 hours of school left. Figure out how many minutes there are left for the school year.
3. Jared can work 54 math problems in 1 hour. How many can he work in 10 minutes?

8. Examples Contd.
4. Ernesto has a dilemma. His dad told him that Ernesto only has 360 inches of space to make his own in the playroom. But Ernesto thinks it makes more sense to put those units in feet. Help Ernesto convert 360 inches to feet.
5. Leah rides 22 feet per second on her bicycle. How many miles per hour does she ride?

9. You Try: How many yards are in 3 miles?
Joshua has 7 months until his first football game. How many days are there until his football game? (Assuming that there are 30 days in every month)
What is the highway speed of 65 miles per hour in feet per second?