1. Confidential1 OUR LESSON: Adding Integers

2. Confidential2 WARM-UP: 1.) Order from least to greatest 7, -3, 0, -1, 3 -3, -1, 0, 3, 7 2.)-35 = 35 3.)56 x 4 = 224 4.)235 - 17 = 218

3. Confidential3 6/1/2 Adding Integers Let's review what we learned in the last lesson. INTEGERS are all of the positive whole numbers, their opposites, and zero. Example:.....-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5,...... Integers consist of positive numbers, negative numbers and zero (which is neither positive or negative)

4. Confidential4 6/1/2 Adding Integers Two numbers that are the same distance from zero on the number line are called opposites Example 6 and -6 The ABSOLUTE VALUE of a number is its distance from zero on the number line. Absolute Value is always Positive. 9 = 9 -11 = 11

5. Confidential5 6/1/2 Adding Integers 102 34567 89 10 -3-4-5-6-7-8-9 -10 -2.. If we compare two numbers on a number line The number that is furthest to the left is the smallest number.

6. Confidential6 6/1/2 Adding Integers Today we are going to learn how to add integers. We will explore 3 different METHODS. METHOD 1 - ZERO PAIRS The red chips are NEGATIVE. The grey chips are POSITIVE - - - - + + +

7. Confidential7 If we want to add 3 + 2 We begin with 3 grey chips And we add 2 more grey chips FOR A TOTAL OF 5 GREY CHIPS + + + + + 6/1/2 Adding Integers 3 + 2 = 5

8. Confidential8 6/1/2 Adding Integers If we want to add -2 + (-4) We begin with 2 red chips And we add 4 more red chips Remember red chips are negative. - - - - - - FOR A TOTAL OF 6 RED CHIPS. -2 + (-4) = -6 Do you have any questions so far????

9. Confidential9 But if we want to add integers with different signs, we must use ZERO PAIRS + - These 2 chips form a ZERO PAIR. These 2 chips equal zero. 6/1/2 Adding Integers

10. Confidential10 Let's add (-5) + 3 We begin with 5 red chips And we add 3 grey chips next page + ++ - - - - - 6/1/2 Adding Integers

11. Confidential11 Let's add (-5) + 3 We begin with 5 red chips And we add 3 grey chips We circle the Zero Pairs and remove them! - - - - - + + + 6/1/2 Adding Integers (Remember a ZERO PAIR equals zero.) next page

12. Confidential12 Let's add (-5) + 3 We begin with 5 red chips And we add 3 grey chips We are now left with 2 red chips OR -2 - - Therefore, (-5) + 3 = -2 6/1/2 Adding Integers

13. Confidential13 6/1/2 Adding Integers You try a few. Use your red and black pens to make your chips. (-3) + 1 = 4 + (-5) = - + -- -3 + 1 = (-2) ----- + + + + 4+(-5) = (-1)

14. Confidential14 6/1/2 Adding Integers METHOD 2 - Number Line We can use a number line to find the sum of 2 integers. 102 34567 89 10 - -3-4-5-6-7-8-9 -10 WE ALWAYS START AT ZERO! 2

15. Confidential15 6/1/2 Adding Integers 102 34567 89 10 - -3-4-5-6-7-8-9 -10 Let's add 3 + 4 Start at zero and move to the right (in a positive direction) 3 spaces. Next, move further to the right 4 spaces.. 2. 1. Your answer is 7. 3 + 4 = 7 2

16. Confidential16 6/1/2 Adding Integers Now, let's add (-2) + (-8) 102 34567 89 10 -2 -3-4-5-6-7-8-9 -10 Start at zero and move to the left (in a negative direction) 2 spaces. Next, move further to the left 8 spaces. Your answer is -10. (-2) + (-8) = -10 1. 2. 3.

17. Confidential17 6/1/2 Adding Integers Let's see what happens when we add a positive AND a negative number. (-6) + 8 = 102 34567 89 10 -2 -3-4-5-6-7-8-9 -10 Start at zero and move to the left (in a negative direction) 6 spaces. Next, move to the RIGHT 8 spaces. Your answer is 2. (-6) + 8 = 2 DO YOU HAVE ANY QUESTIONS??

18. Confidential18 6/1/2 Adding Integers You try a couple..... 4 + (-7) = (-3) 102 34567 89 10 -2 -3-4-5-6-7-8-9 -10 Start at zero and draw your arrows! 102 34567 89 10 -2 -3-4-5-6-7-8-9 -10 (-2) + (-5) = (-7)

19. Confidential19 6/1/2 Adding Integers Method 3 - Rules for adding integers Adding the Same Sign - The sum of 2 positive numbers is POSITIVE. The sum of 2 negative numbers is NEGATIVE. Example: 4 + 7 = 11 (-3) + (-6) = (-9) 11 + 8 = 19 (-9) + (-1) = (-10)

20. Confidential20 6/1/2 Adding Integers Adding Different Signs - 1. Find the absolute value of the 2 numbers. 2. Subtract the smaller number from the larger number. 3. Take the sign of the larger number for your answer. Example:(-2) + 9 = 1.) Absolute Values are 2 and 9 2.) Step Subtract 9 - 2 Step 3.) Sign of the larger number so +7

21. Confidential21 6/1/2 Adding Integers Adding Different Signs - 1. Find the absolute value of the 2 numbers. 2. Subtract the smaller number from the larger number. 3. Take the sign of the larger number for your answer. Step 1.) Step 2.) Step 3.) Try (-11) + 5 = Absolute values are 11 and 5 11 – 5 = 6 Sign of larger number so answer is -6

22. Confidential22 6/1/2 Adding Integers

23. Confidential23 6/1/2 Adding Integers GAME TIME ! Click here to play a game

24. Confidential24 6/1/2 Adding Integers 1.)The temperature in Minneapolis was 7 degrees F at noon. By 8 pm, the temperature had dropped 15 degrees F. What was the temperature at 8 pm? 7 – 15 = (-8)

25. Confidential25 6/1/2 Adding Integers 2.)You have $60 in your bank account. You withdraw (or take out) $45 to buy new tires for your bike. You then deposit (or add in) your babysitting money of $18. What is the new balance in your bank account? 60 – 45 + 18 = 33

26. Confidential26 Let's see how well we understood the lesson today. Use a number line to find each sum. 1.)(-7) + 12 = 5 102 34567 89 10 -2 -3-4-5-6-7-8-9 -10 102 34567 89 10 -2 -3-4-5-6-7-8-9 -10 2.)4 + (-10) = (-6) 6/1/2 Adding Integers

27. Confidential27 Find each sum. Remember your Addition Rules! 3.)(-7) + (-11) = (-18) 4.)12 + (-5) = 7 5.)22 + 7 = 29 6.)(-9) + 5 = (-4) 7.)3 + (-10) = (-7) 8.)(-8) + 20 = 12 9.)1 + (-30) = (-29) 10.)(-15) + (-5) = (-20) 6/1/2 Adding Integers

28. Confidential28 6/1/2 Adding Integers Let's Review... We can add integers using ZERO PAIRS. There are 3 METHODS we can use to Add Integers. METHOD 1 - + These two chips form a ZERO PAIR These two chips equals to zero

29. Confidential29 6/1/2 Adding Integers To add (-5) + 3 = Then we are left with 2 red chips. Therefore, (-5) + 3 = -2 - - - - - We begin with 5 red chips And we add 3 grey chips + ++ We circle the zero pairs and remove them

30. Confidential30 6/1/2 Adding Integers We can also use a number line to find the sum of 2 integers. METHOD 2 102 34567 89 10 -2 -3-4-5-6-7-8-9 -10 (-6) + 8 = Start at zero and move to the left (in a negative direction) 6 spaces Next move to the right 8 spaces Your answer is 2 (-6) + 8 = 2

31. Confidential31 METHOD 3 Adding the Same Sign - The sum of 2 positive numbers is POSITIVE. The sum of 2 negative numbers is NEGATIVE. Rules Adding Different Signs - 1. Find the absolute value of the 2 numbers. 2. Subtract the smaller number from the larger number. 3. Take the sign of the larger number for your answer. 6/1/2 Adding Integers

32. Confidential32 You had a great lesson today! Be sure to practice what you learned! 6/1/2 Adding Integers