Bell work Cronnelly Solve: 1) −6+(−19) 2) 18.6+19.5 3) −36+18 4) −27+49 5) −103.8+96.9 6)41.3+(−13.5)

Lesson 2.2.4 Addition of Rational Numbers with Integers Fractions and Icebergs! Lesson 2.2.4 Addition of Rational Numbers with Integers

Since 1912 when the Titanic sank after striking an iceberg, ships and planes from the INTERTATIONAL ICE PATROL have searched the waters of the North Atlantic to report icebergs that have broken off Greenland’s Ice Sheet and drifted into shipping.

Most Icebergs form from the Greenland glaciers. 12,500 icebergs are produced each year. 375 float south into the North Atlantic shipping lanes where they become a hazard. 

Where is Greenland? Greenland United States Baffin Bay Many icebergs break off the west side of Greenland into the Baffin Bay where they drift into the North Atlantic in a area that many call iceberg alley. These icebergs can be very dangerous to ships.

Icebergs from Iceberg Alley created the Titanic disaster of 1912. Where is iceberg alley? Icebergs from Iceberg Alley created the Titanic disaster of 1912. This is the area of the ocean we patrol and monitor most carefully. Baffin Bay Greenland Iceberg Alley Atlantic Ocean

The iceberg suspected of having sunk the RMS Titanic. Contains the infamous "red smear" and was found in the same vicinity as many bodies and debris from the ship.

Icebergs vary in size from the size of a large piano, called growlers, to the dimensions of a 10-story building. Icebergs about the size of a small house are called “Bergy” bits. SIZE CATEGORY HEIGHT (FT) LENGTH Growler less than 3 less than 16 Bergy Bit 3-13 15-46 Small 14-50 47-200 Medium 51-150 201-400 Large 151-240 401-670 Very Large Over 240 Over 670

International Ice Center Database   International Ice Center Database Iceberg Date Updated Latitude Longitude Size B-15A 08/12/2010 81.1 N 61.7 W 1,200 sq mi Satellite images show where icebergs break off into the ocean. Each iceberg is named, measured, dated, an kept track of by latitude and longitude. If a iceberg drifts into a shipping lane the International Ice center will go to extreme measures to ensure that the iceberg is moved so that it is not a threat to ships.

How much of an iceberg is below the water? Usually about ⅛ of an iceberg is above the waterline. That part consists of snow, which is not very compact. The part of the iceberg that is under the cold water is very compact and very heavy. 7 8 The International Ice Center knows that icebergs are much more dangerous than they appear from the surface of the water. What you see floating is as they say “just the tip of the iceberg’” Looking at this image explains why so much damage was done to the titanic! The International Ice Center uses calculations with rational numbers to determine size and locations of potentially dangerous icebergs! 1 1 ? 8 ? + =

Antarctica “Blue Iceberg” Greenland Iceberg Antarctica “Blue Iceberg”

Adding Rational Numbers As we’ve just seen, sometimes it is necessary to add numbers that are not integers. Remember, integers are whole numbers and their opposites. …-3, -2, -1, 0, 1, 2, 3… Yesterday, we used the integer rules to add integers with the same signs and different signs. Today, we will use the same rules to add rational numbers such as fractions and decimals.

The rest of our lesson will be taught from our student notes.

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