I left the high school and drove right 100 ft., but then turned around and drove left 200 ft. Draw a picture representing the situation. Write your name on the warm-up and place in the m&m bucket

LEQ: What are the properties of different kinds of integers and how do we use them to simplify expressions?

 The number line above represents all the real numbers both integers and rational and irrational numbers.  For now we will be looking at only the integers which are all the whole numbers and their opposites.

 To graph or plot an integer, place a point on the number line. The number that corresponds to a point is called the coordinate of the point.

 Ex. 1: Name the coordinates of M, A, and Z. Which is bigger, -18 or -12? Z A MP

 How far did you walk left?  The (-) is important so that we know what direction we went, so how can we represent the distance using a negative number???

The absolute value of a number is the positive value of the number aka the distance to that number from the point 0. *What is the distance from 0 to 10? l l = “absolute value of” l10l= l-10l=

l-4l=l-19l= l42l= l4-3ll-4-2l=l-3l-l7l=

Simplify:

7) -5___58) l-8l____l8l 9) -18___-1210) -7___l-7l

Practice

 I had $120 for my bill this month, but my bill ended up being $140. How many dollars am I in debt? Get out your homework!!

 You can add integers using a number line.  Start at the 1 st integer.  If you add a positive number move to the right that many units  If you add a negative number move to the left that many units

 1) = _____  2) = _____  3) = ______  4) = ____

You can also add integers using the sign rules A) To add 2 integers with the same sign add their absolute values and keep the same sign. B ) To add 2 integers with different signs find the difference of their absolute values and keep the sign of the greater absolute value.

 5) = _______  6) = ________  7) = _______  8) = _______   9) = _______  10) = _______

 Must use a believable situation  Must involve adding integers at least 3 times  Must add integers with different signs at least once.  Ex.: I earned $50 at work. I spent $30 on new headphones for my ipod. When I came home my mom gave me $20 for helping out around the house. However my cell phone bill came a week later and cost me $82. How much money do I have or am I in debt?

Maria sold craft items at a fair. She started the day with $120 in her cash box. During the first hour, she paid a registration fee of $12 and then collected money for three sales of $25, $11, and $37. How much money did she have in her cashbox at the end of the first hour?

 Evaluate each expression if x = - 5, y = - 8 and z = 4.  15) x + y + z = _____________  *When substituting numbers, put them in ( )!!!!  16) x + 2 z + y = _________

 Add the following integers working left to right:  17) = ____________  18) = __________

 Why do you need to be able to add positive and negative numbers together? Where in life would you use these skills?

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