spi 4.4 rates and measurements annotated

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).

What are we doing today?

SPI 4.4 Convert rates and measurements.

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

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

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)

In the metric system,

milli- = 1/1,000

centi- = 1/100

kilo- = 1,000

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

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.

The mass of an object is 7.45 kg. What is the mass of the object in grams?

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?

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?

Another example:

A truck is traveling at 55 miles per hour. How many feet per second is the truck traveling?

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?

Dimensional Analysis

Give the definition in your own words.

Give examples.

ACTIVITY

TIME!

U R the Teacher

Teacher solves: A living room has 12 yards of carpeting. How many inches of carpeting is this?

Assignment

Complete worksheet on whiteboard.