1. Integer Rules

2. Warm-Up # 169 9-08 Hmwk: Digits p. 5 22 125 reflection translation 11 23.2 cm 1/20 or 5%

3. Using a Number Line to Model Addition of Integers LT: I can add integers EQ: When is addition really subtraction?

4. Adding integers Use Number Lines Start at zero and model the addition of 4 + (-3) l l l l l l l l l l -4 -3 -2 -1 0 1 2 3 4 5 Positive numbers move right and negative move left. 4 + (-3) = 1 1.-3 + 5 = 2.3 + -4 = 3.2 + 1 = 4.-4 + 4 = 5.5 + (-7) =

6. 1. Start at zero and model the addition of -3 + 7 I l l l l l l l l l l -5 -4 -3 -2 -1 0 1 2 3 4 5 2. A diver is standing on a platform 10 ft above the surface of the water. If the pool is 16 ft deep, how far will the diver travel if his dive takes him to the bottom of the pool? 3. On Tuesday, the low temperature in Green Bay was -15° and the high was 25°. What was the change in temperature for the day?

7. 9-08 Inverse Property of Addition

9. Modeling Integer Addition using Integer Chips 12 + (-20) = - 8 Solve using Integer Chips 1.8 + (-3)2. -9 + 2 3. -6 + (-4)4. 5 + 5

10. Modeling Integers has a value of 1 has a value of -1 + = 0 and is called a zero pair.

11. Find the value…. Model the value -8 using a total of 12 chips.

12. Warm-Up # 168 9-09 Hmwk: Digits 1-2 P. 6-8 Four hundred twenty-seven and sixty-three hundredths 28.311 576 YES 10:52 pm

13. 7 +( -3) + + + + - - - + + + 4 -8 + 7 -3 + 2 +(-3) 10 +(-5) -6 + 7+(-9) + 8 Model each number using + or – and then write the number for the combined value.

16. ATTACH THIS TO A PAGE BEHIND ‘PROCEDURES’

17. -15 + -3 -44 + 5 15 + -52 -41 + (-33) -72 + 21 -1 + (-5) + 8 -18 + 9+ 9 -2 + 8 + (-34) Think, Pair, Share Problem goes here Work and answer goes here

18. Think, Pair, Share Problem goes here Work and answer goes here

19. T-Chart Method 14 + (-23) + (-) Positive Negative 14 23 - 14 9 Since the ‘left overs’ are in the negative column, the answer is also negative, -9 T Charts are very useful when adding multiple integers!

20. Different signs 14 + (-23) + - Positive Negative 14 23 - 14 If they are in different columns, 9 subtract. Since it is in the negative column, the answer is -9 Same signs - 25 + (-41) + - Positive Negative 25 41 66 If they are in the same column, just add. T – Charts

21. Use the T-chart method to solve 1. -44 + 5 + 10 2. 15 + (-52) + (-4) + (-3) 3. -41 + (-33) + (-2) + (-34) + (-40) 4. -2 + 8 + (-34) + 5 + 12 + 6 + 5 5. -9 + (-4) + 13 + (-6) + 8 + (-12) + (-5) + 16 - 29 - 44 - 150 0 1

22. Exit Slip: Copy these problems on a sticky note and solve. Attach to the bulletin board on your way out. 1.-8 + (-5) + 1 = 2.-45 + (-21) = 3.14 + (-9) + 10 = 4.100 + (-25) = - 12 - 66 - 15 75

23. Ex: 2 + 3 = 5 -2 + -1 = -3 #1 Adding integers with the same sign, just add them and keep the sign. Two Rules for Addition What are the two rules for adding integers?

24. When adding integers with different signs, subtract and take the sign of the integer that has the larger absolute value. 1.Find the sign of the answer 3+( -5) = (neg.) 2.Subtract AV 5 – 3 = -2 When adding integers with different signs, you are actually subtracting! #2…

27. What is the rule for subtracting integers? The easiest way to subtract integers is to add the opposite or keep, change, change Keep the first number the same. Change the operation from subtraction to addition. Change the sign of the second number. -5 – 7 = 2 – (-4) = -5 – 7 = -5 + (-7) = -12 2 – (-4) = 2 + 4 = 6

28. Practice Problems Wkbk p. 14 and 15 ODD 1.-5 – (-15) = 2. -3 + 4 – (-20) = 3. 17 – 20 + (-13) = 4. -50 – (-50) – 50 = 5.-1 + 6 + (-12) – 25 = 6.7b + (-22b) = 7.-5d – (-3d) + (-10d) = 8.24abc + (-13abc) = 10 21 -16 -50 -32 -15b -12d 11abc

29. LT: I can use rules to multiply & divide integers. EQ: When do 2 negatives make a positive? 9-15 HMWK Integer x and ÷ What is the rule for x and ÷ integers? Same signs = positive Different signs = negative QUIZ Tomorrow Unit Test Friday.

30. 15 -15 -8 If the number of negatives is EVEN – answer is POSITIVE! If the number of negatives is ODD – the answer is NEGATIVE! TIP

31. WRITE THE PROBLEM!

33. Integer x and ÷ LT: I can use rules to multiply & divide integers. EQ: When do 2 negatives make a positive? 9/15 Bellringer: Write the problem!! Hmwk: Wkbk p. 17 13 - 16 & p. 18 37 - 40