Transcript Dimensional Analysis PP

Success Starter
1. 𝑛2 + 6𝑛 − 4 (2𝑛 − 4)
2. Round
3.584 to the nearest tenths.
Unit 1 Test on Friday!!!
Remind me to talk about bonus please
Homework Answers
1.
5𝑥 − 3 4𝑥 + 1 = 20𝑥 2 − 7𝑥 − 3
2.
𝑥 2 + 5 x 2 − 11x + 6 = x 4 − 11x 3 + 11x 2 − 55x + 30
3. 𝑥 2 𝑦 2𝑥 2 − 3 = 2x 4 y − 3x 2 y
Dimensional Analysis/Unit
Conversion
Real world connections:
 Apartment
 Traveling
laundry example
(Converting money currency)
 Cooking
 Science
 Many
& business related career fields
everyday situations
Accuracy/Precision
 Money
 Speed
limit
 Medicine
dosage vs. distance from your
house to Tapp Middle (precision)
 Calculating
diameter of the sun
Steps
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Change your given into a fraction by placing it over 1. This makes it a fraction
but does not change its value.
Write a conversion factor that has the unit you wish to get rid of in
the denominator and the unit you want to end up with in
the numerator. After you fill in your units, add the numbers. One of the
numbers is always a 1 but it can be in either the denominator or the
numerator.
Multiply your given times the conversion factor. (A given is what you started
with.) When you do this the unit in your given will cancel out leaving you with
the unit you wish to convert to.
Multiply the numerators together. Then multiply the denominators together to
where you have a fraction. (Do not cross-multiply!)
Change your fraction back to a decimal by dividing the numerator by the
denominator and adding the unit. Note
Note: The unit you end up with will always be in the numerator of the last
conversion factor and no units will be left in the denominators since they all
cancel out. When you divide a measurement by a number the unit carries
over. For example: 5.0 mL/2 = 2.5 mL.
Example
1.
Convert 15 feet to yards.
2.
Nelaya studied for her Algebra 1 quiz for 2.5
hours. How many minutes did she study for?
You will see conversion problems as a word problem or a
simple statement. Know how to do both!!!
You Try 1
1. Convert
2. Louise
309 yards to feet.
and Jae are traveling from Sarasota to
Tampa, which is 55 miles. What is the distance
in kilometers? (Note: There are 1.6 km in 1
mile.)
Example
1. How
many seconds are there in 1.4 days?
2. Serena
Williams serves 140 miles per hour.
How fast is that in feet per second?
You Try 2
1. Haven
and Emma went on a road trip and
drove 45 miles per hour to their destination.
How many feet per minute did they drive?
2. Convert
30,000 feet to miles. (Round to
nearest tenth)
Example
Madeline is traveling at 65 miles/hour,
how many feet can she travel in 22
minutes?
You Try 3
1.
Sandro’s car travels 60 mph. How fast is his
car traveling in feet per second?
2.
Caleb’s Mac and Cheese weighs 80 oz. How
heavy is it in kg? (Note: 0.454 kg = 1 pound)
(Round to the nearest tenth)
Example
1. Ashlynn’s
bird chirps 10 times a minute. At
this rate, about how many times would it
chirp in a day?
2. Your
paper is 8.5 inches wide and 27.94
centimeters long. Find the area of the paper
in centimeters. (Round to the nearest
hundredth place.)
You Try 4
1. Convert
24 barrels to quarts. (Note: There
are 73 gallons in 2 barrels)
Success Starter 8/31/16
1.
Convert 40,000 feet to miles.
2.
How fast is a car going 85 mph traveling in
feet per second?
Round #1 to the nearest tenth. Round #2 to a whole
number
Test on Friday!!! 
Metric Conversions
KING HENRY DIED DRINKING CHOCOLATE MILK
Example
1.
2.
Convert 261 grams to kilograms.
Convert .73kL to L
You Try 4
1.
Convert 498.82 cg to mg
2.
Convert 4.65 km to m
Example
A rattlesnake is 2.44 m long. How
long is the snake in cm?
You Try 5
1.
129.34 m to cm
2.
1,943 mm to m
3.
4,719 mm to km
4.
A rectangle has a length of 2 meters and a
width of 40 centimeters. What is the
perimeter of the rectangle in meters and in
centimeters.
Example
1.
The cost, in dollars, of a single-story home can be
approximated using the formula 𝐶 = 𝑘𝑙𝑤, where 𝑙 is the
approximate length of the home and 𝑤 is the approximate
width of the home. Find the units for the coefficient 𝑘.
2.
When David goes to work, he drives at an average speed
of 65 miles per hour. It takes about 1 hour and 30
minutes for David to arrive at work. His car travels about
25 miles per gallon of gas. If gas costs $3.65 per gallon,
how much money does David spend on gas to travel to
work?
Practice Problem (Milestone
Review)
A rectangle has a length of 12 meters and a width of
400 centimeters. What is the perimeter, in cm, of the
rectangle?
824 cm
B. 1600 cm
C. 2000 cm
D. 3200 cm
A.