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Warm-up

Warm-up. 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 . Chapter 2: Operations with Integers.

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Warm-up

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  1. Warm-up 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

  2. Chapter 2: Operations with Integers LEQ: What are the properties of different kinds of integers and how do we use them to simplify expressions?

  3. 2.1 Integers and Absolute Value • 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.

  4. 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.

  5. Ex. 1: Name the coordinates of M, A, and Z. Which is bigger, -18 or -12? M Z P A -3 0 1 3 4

  6. Try Ex. 2

  7. Cards

  8. From your house, you walk right 10 steps and back 20 steps. Can you graph this on the number line? • 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???

  9. Absolute Value!!! 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=

  10. Let’s do some examples as a class l-4l= l-19l= l42l= l4-3l l-4-2l= l-3l-l7l=

  11. Warm-up Simplify: - -15-5

  12. Try 1-6:

  13. Wkst.

  14. 7) -5___5 8) l-8l____l8l 9) -18___-12 10) -7___l-7l

  15. Practice

  16. Warm-up • 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!!

  17. 2.3: Adding and subtracting integers • You can add integers using a number line. • Start at the 1st 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

  18. 1) -4 + 3 = _____ • 2) 6 + -5 = _____ • 3) -2 + - 6 = ______ • 4) 5 + - 12 = ____

  19. 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.

  20. Let’s Practice • 5) -4 + - 6 = _______ • 6) 12 + - 8 = ________ • 7) -10 + 13 = _______ • 8) - 20 + - 9 = _______ • 9) 16 + - 8 = _______ • 10) 13 + -24 = _______

  21. Try 11-14 on your own, check your answers with a neighbor

  22. Ok, now Create a real-life problem… • 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?

  23. 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?

  24. 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 = _________

  25. Add the following integers working left to right: • 17) -6 + 8 + - 12 + 15 = ____________ • 18) 12 + - 9 + - 16 + 5 = __________

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

  27. Hwk: p. 68-69 33-44,48-53

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