1. + Number Line Motivation: What is the topic?

2. + absolute value

3. + Number Line +

4. Objectives: 1.Add integers with same sign and unlike sign using the number line 2. Generate rules or principles for adding integers with a) same sign and b) unlike sign

5. 2.1 Integers and Absolute Value Objective: Represents the absolute value of a number on a number line as the distance of a number from 0

6. Integers Integers are all of the positive and negative whole numbers. There are no fractions or decimals that are integers. ….. -3, -2, -1, 0, 1, 2, 3 … -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 Negative DirectionPositive Direction

7. Absolute Value Absolute value of a number is the DISTANCE to ZERO.Absolute value of a number is the DISTANCE to ZERO. Distance cannot be negative, so the absolute value cannot be negative. -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

8. Absolute Value? What is Absolute Value? Absolute value of a number is the DISTANCE from ZERO or origin.Absolute value of a number is the DISTANCE from ZERO or origin. Distance cannot be negative, so the absolute value cannot be negative. The absolute value of any number will always be positive

9. Opposites Two numbers that have the same ABSOLUTE VALUE, but different signs are called opposites. Example -6 and 6 are opposites because both are 6 units away from zero. | -6 | = 6 and | 6 | = 6 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

10. Evaluate the absolute value: how far is the number from zero? 1)| -4 | =4. | 8 +3 | = 2)| 3 | =5.  -14  +  -2  = 3)| -9 | = -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

11. Evaluate the absolute value: how far is the number from zero? 1)| -4 | =4 2)| 3 | =3 3)| -9 | = 9 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 4. | 8 +3 | = 1 5.  -14  +  -2  = 14+2=16

14. Absolute Value Evaluate the absolute value: Ask yourself, how far is the number from zero? 1)| 12 ÷ -4 | = 2)| 3 ● 15 | = 3)| -9 + 1 | - │1 + 2│ = 4)| 8 - 3 | + │20 - 20│= -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

15. Evaluate the absolute value: how far is the number from zero? 1)| -4 | =4. | 8 +3 | = 2)| 3 | =5.  -14  +  -2  = 3)| -9 | = -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

16. Opposites What is the opposite? 1)-10 2)-35 3)12 4)100 5)1 6)X

17. Using Absolute Value in Real Life The graph shows the position of a diver relative to sea level. Use absolute value to find the diver’s distance from the surface.

18. Graphing Integers on a number line 1)Draw a number line 2)Graph an Integer by drawing a dot at the point that represents the integer. Example: -6, -2, and 3 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

19. Graphing Integers on a number line 1)Graph 7, -8, and -5 2)Graph -2, and 3 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

20. Addition of Integers using number line 1)Find the sum of (-3) and (-4) using number line (-3) + (-4) = Steps: 1.Plot -3 on the number line -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 3 steps from the origin Negative Direction Positive Direction Negative Direction Another 4 steps going to left -7 (-3) + (-4) =-7

21. Addition of Integers using number line 1)Find the sum of (+6) and (-4); (+6) + (-4) = Steps: 1.Plot -7 on the number line -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 Move 6 steps going to the right Negative Direction Positive Direction Negative Direction Another 4 steps going to left (+6) + (-4) = 2

22. Addition of Integers using number line 1)Find (-7) + 5 2)Graph -4, -1, and 1 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

23. Order Integers from Least to Greatest You need to know which numbers are bigger or smaller than others, so we need to order them from least to greatest. Example: Order the integers -4, 0, 5, -2, 3, -3 from least to greatest. The order is -4, -3, -2, 0, 3, 5. -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

24. Order Integers from least to greatest 1)Order the integers 4,-2,-5,0,2,-1 from least to greatest. 2)Order the integers 3,4,-2,-5,1,-7 from least to greatest. -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6