6 th Grade Integers 2 Adding Integers by
6 th Grade Integers 2 Adding Integers by Monica Yuskaitis, M. A. Ed. Copyright © 2013 by Monica Yuskaitis 1
Pay Attention Ignore Distractions Eyes Front Listen
Objective • To be able to add integers. Copyright © 2013 by Monica Yuskaitis 3
Essential Question • How can I add integers? Copyright © 2013 by Monica Yuskaitis 4
Integer Review Copyright © 2013 by Monica Yuskaitis 5
Integer Review Copyright © 2013 by Monica Yuskaitis 6
Vocabulary • Integers – Integers are all the whole numbers and all of their opposites on the negative number line including zero. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 Copyright © 2013 by Monica Yuskaitis 7
Vocabulary • Positive number (integer) – a number greater than zero. 0 1 2 3 4 5 6 Copyright © 2013 by Monica Yuskaitis 8
Vocabulary • Negative number (integer) – a number less than zero. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 Copyright © 2013 by Monica Yuskaitis 9
Hint • Zero is neither positive nor negative. 0 Copyright © 2013 by Monica Yuskaitis 10
Vocabulary • Opposite numbers (integers) – numbers that are the same distance from zero in the opposite direction. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 Copyright © 2013 by Monica Yuskaitis 11
Vocabulary • Absolute value – the distance an integer is from zero. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 4 is the absolute value for both these integers. We write: | -4 | = 4 |+4 | = 4
Hint • If you don’t see a negative or positive sign in front of a number it is positive. +9 Copyright © 2013 by Monica Yuskaitis 13
Positive & Negative Numbers Working with positive and negative numbers is like driving in traffic. You have to watch the traffic signs and follow the driving rules. Copyright © 2013 by Monica Yuskaitis 14
Essential Question • How can I add integers? Copyright © 2013 by Monica Yuskaitis 15
Adding Integers Using a Number Line Copyright © 2013 by Monica Yuskaitis 16
One Way to Add Integers Is With a Number Line When the number is positive, count to the right. When the number is negative, count to the left. + -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 Copyright © 2013 by Monica Yuskaitis 17
One Way to Add Integers Is With a Number Line +3 + -5 = -2 + -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 Copyright © 2013 by Monica Yuskaitis 18
One Way to Add Integers Is With a Number Line +6 + -4 = +2 + -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 Copyright © 2013 by Monica Yuskaitis 19
It’s Your Turn Copyright © 2013 by Monica Yuskaitis 20
Solve Using the Number Line +3 + -7 = -4 + -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 Copyright © 2013 by Monica Yuskaitis 21
Solve Using the Number Line -5 + +3 = -2 - -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 + Copyright © 2013 by Monica Yuskaitis 22
Solve Using the Number Line -5 + +2 = -3 - -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 + Copyright © 2013 by Monica Yuskaitis 23
Solve Using the Number Line -4 + -2 = -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 Copyright © 2013 by Monica Yuskaitis 24
Solve Using the Number Line -1 + -4 = -5 - -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 Copyright © 2013 by Monica Yuskaitis 25
Solve Using the Number Line 4+1= 5 + -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 + Copyright © 2013 by Monica Yuskaitis 26
Solve Using the Number Line 1+5= 6 + -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 + Copyright © 2013 by Monica Yuskaitis 27
Adding Integers Using +’s & -’s Copyright © 2013 by Monica Yuskaitis 28
Write the number in pluses if it is a positive number. +6 = + + + Write the number in minuses if it is a negative number. -5 = - - Copyright © 2013 by Monica Yuskaitis 29
Put the signs of both numbers right on top of each other, each plus and minus matching. +6 = + + + + -5 = - - Copyright © 2013 by Monica Yuskaitis 30
Cross-out any plus & minus that match because +1 and – 1 = zero. +6 = + + + + -5 = - - Copyright © 2013 by Monica Yuskaitis 31
What you have left is the answer. +6 = + + + + -5 = - - +6 + -5 = +1 Copyright © 2013 by Monica Yuskaitis 32
It’s Your Turn Copyright © 2013 by Monica Yuskaitis 33
Solve Using +’s and –’s -7 = - - - + +3 = + + + -7 + +3 = -4 Copyright © 2013 by Monica Yuskaitis 34
Try it on your own. Here just add up the minuses. -6 = - - - + -4 = - -6 + -4 = Copyright © 2013 by Monica Yuskaitis -10 35
Again in this case nothing cancels out so you add up the pluses and that’s your answer. +5 = + + + +7 = + + + +5 + +7 = +12 Copyright © 2013 by Monica Yuskaitis 36
Solve Using +’s and –’s +7 = + + + +-4= - - - +7 + -4 = +3 Copyright © 2013 by Monica Yuskaitis 37
Solve Using +’s and –’s -6 = - - - + +4 = + + -6 + +4 = -2 Copyright © 2013 by Monica Yuskaitis 38
Solve -5 = - - + -3 = - - -5 + -3 = Copyright © 2013 by Monica Yuskaitis -8 39
Solve +6 = + + + +5 = + + +6 + +5 = +11 Copyright © 2013 by Monica Yuskaitis 40
Integer Addition Rules Copyright © 2013 by Monica Yuskaitis 41
Integer Addition Rules • Rule #1 – If the signs are the same, pretend the signs aren’t there (Use absolute values). Add the numbers and then put the sign of the addends in front of your answer. 9 + 5 = 14 -9 + -5 = -14 Copyright © 2013 by Monica Yuskaitis 42
-8 + -5 8 +5 - 13 Copyright © 2013 by Monica Yuskaitis 43
+7 + +4 7 +4 +11 Copyright © 2013 by Monica Yuskaitis 44
-3 + -6 3 +6 -9 Copyright © 2013 by Monica Yuskaitis 45
Solve the Problems -8 • -3 + -5 = 11 • 4+7= • (+3) + (+4) = 7 -13 • -6 + -7 = 14 • 5+9= -18 • -9 + -9 = Copyright © 2013 by Monica Yuskaitis 46
Integer Addition Rules • Rule #2 – If the signs are different pretend the signs aren’t there (Use absolute values). Subtract the smaller from the larger one and put the sign of the larger one in front of your answer. -9 + +5 = 9 - 5 = 4 Answer = - 4 Larger number Copyright © 2013 by Monica Yuskaitis 47
+9 + -6 9 -6 +3 Copyright © 2013 by Monica Yuskaitis 48
+5 + -9 9 -5 -4 Copyright © 2013 by Monica Yuskaitis 49
-4 + +7 7 -4 +3 Copyright © 2013 by Monica Yuskaitis 50
-8 + +9 9 -8 +1 Copyright © 2013 by Monica Yuskaitis 51
Solve These Problems 5 – 3 = 2 -2 • 3 + -5 = • -4 + 8 = • (+3) + (-4) = • -6 + 7 = • 3 + -9 = • -9 + 9 = 8– 4=4 4– 3=1 4 -1 7– 6=1 9– 3=6 9– 9=0 1 -6 0 Copyright © 2013 by Monica Yuskaitis 52
Problem Solving Copyright © 2013 by Monica Yuskaitis 53
Problem Solving Steps What information do you need? What is the problem asking you to find out? Is the answer going to be larger or smaller? What strategies will you use? What operations will you use? How many steps are there and in what order must you do them? Analysis Representation How will you solve the problem? Did you check your answer? Does your answer make sense? Resolution Copyright © 2013 by Monica Yuskaitis 54
The coldest temperature ever recorded in the United States was -80 o F. in Prospect Creek, Alaska. The coldest temperature in California was 34 degrees warmer in Boca, California. What was the coldest recorded in California? Copyright © 2013 by Monica Yuskaitis 55
-8 0 + +3 4 7 810 - 34 o - 4 6 F. Copyright © 2013 by Monica Yuskaitis 56
This is for you for working so hard! Copyright © 2013 by Monica Yuskaitis 57
This Lesson Is Part of This Series • Common Core 6 th – Integers 1 – Introduction to Integers • Common Core 6 th – Integers 2 – Addition of Integers • Common Core 6 th – Integers 3 – Subtraction of Integers Copyright © 2013 by Monica Yuskaitis 58
This Lesson Is Part of This Series • Common Core 6 th – Integers 4 – Multiplication and Division of Integers If you like this lesson, I know you will love the others. Copyright © 2013 by Monica Yuskaitis 59
Earn TPT credits for purchases by rating this lesson! After you click, make sure you sign in! Click Here! Copyright © 2013 by Monica Yuskaitis 60
Copyright Notice • This presentation is copyrighted. You have the right to use or even alter the slides for your own personal use in the classroom or with individuals. However, you do not have the right to copy and give or to sell this product to anyone. Severe penalties are in place should you decide to do so. Copyright © 2013 by Monica Yuskaitis 61
Credits Clipart from clipart. com Written by Monica Yuskaitis To view 400 more math presentations like this one Contact: http: //www. teacherspayteachers. com/Store/ Effective-Math-Lessons 62 Copyright © 2013 by Monica Yuskaitis
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