Download - Spi 4.4 rates and measurements annotated
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Bell Ringer
Simplify the following:1. √30 * √60
2. √300 * 5√20
3. 6√20 + 3√10 – 5√20 – 10√10
4. Find the distance AND midpoint of the line segment with the endpoints (-6, -2) and (5, 6).
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What are we doing today?
SPI 4.4 Convert rates and measurements.
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Conversion factors
A CONVERSION FACTOR is the number you multiply or divide by to convert from one unit to another.
In the metric system, milli- = 1/1,000centi- = 1/100kilo- = 1,000
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Important Conversion Factors
Time
60 seconds = 1 minute 12 months = 1 year
60 minutes = 1 hour 365 days = 1 year
24 hours = 1 day 52 weeks = 1 year
7 days = 1 week
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Important Conversion Factors cont.
Length, Capacity, and Weight/Mass (Customary)
12 inches (in.) = 1 foot (ft) 2 cups = 1 pint (pt)
3 feet = 1 yard (yd) 2 pints = 1 quart (qt)
5,280 feet = 1 mile (mi) 4 quarts = 1 gallon (gal)
8 fluid ounces (fl oz) = 1 cup (c)
16 ounces (oz) = 1 pound (lb)
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In the metric system,
milli- = 1/1,000
centi- = 1/100
kilo- = 1,000
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Important Conversion Factors cont.
Length, Capacity, and Weight/Mass (Metric)
1,000 millimeters (mm) = 1 meter
1,000 liters = 1 kiloliter (kL)
100 centimeters (cm) = 1 meter (m)
1,000 milligrams (mg) = 1 gram (g)
1,000 meters = 1 kilometer (km)
100 centigrams (cg) = 1 gram
1,000 milliliters (mL) = 1 liter (L) 1,000 grams = 1 kilogram (kg)
100 centiliters (cL) = 1 liter
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An example of a problem:
The mass of an object is 7.45 kg. What is the mass of the object in grams?
We’ll use DIMENSIONAL ANALYSIS to solve these problems.
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The mass of an object is 7.45 kg. What is the mass of the object in grams?
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Pairs Check
Person 1: How many liters of water are in 35 mL?
Person 2: How many mL of water are in 2.3 L?
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Another Pairs Check
Person 1: The road between two towns is 2.44 miles long. How long is the road in yards?
Person 2: The road between two towns is 5,922 yards long. How long is the road in miles?
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Another example:
A truck is traveling at 55 miles per hour. How many feet per second is the truck traveling?
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Pairs Check
Person 1: A truck is traveling at 90 miles per hour. How many feet per second is the truck traveling?
Person 2: A truck is traveling at 20 miles per hour. How many feet per second is the truck traveling?
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Dimensional Analysis
Give the definition in your own words.
Give examples.
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ACTIVITY
TIME!
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U R the Teacher
Teacher solves: A living room has 12 yards of carpeting. How many inches of carpeting is this?
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Assignment
Complete worksheet on whiteboard.