1. A PowerPoint Presentation Introducing the Concept of Integers

2. About the Presentation
This presentation is a great way to introduce positive and negative whole numbers to students for the first time in 6th grade. It directly correlates to standards [6-NS5] and [6-NS6] in the Common Core. However, this concept is frequently reviewed at the beginning of 7th and 8th grade because of the huge importance integers play in understanding the other standards. This lesson is designed to get students involved through questioning. The answers to each example are provided at the end of the PowerPoint. It can be easily converted into a Flip Book for Smart Board users.
Included is a worksheet that is perfect for a homework or classwork follow-up activity. It is 20 question worksheet that includes fill in the blank, short answer, and real world problems.

3. Introduction to Integers

4. Vocabulary Negative Number: A number less than zero
Positive Number: A number greater than zero
Integer: Positive and negative whole numbers

5. Vocabulary Inequality: Compares numbers > Greater Than
< Less Than
= Equal
> Greater Than OR Equal To
< Less Than OR Equal To

6. Negative Integers
Remember, negative numbers are numbers LESS THAN 0. What does a negative number look like? -1, -99, -4.72, -½ , -3.9 What does a negative integer look like? -1, -99, -4, -2, -15 Ok, so what exactly is the difference? The word INTEGER. When we are talking about INTEGERS, these are the positive & negative whole numbers. This means, no fractions and no decimals allowed.

7. Positive Integers
Remember, positive numbers are numbers GREATER THAN 0. What does a positive number look like? 6, 92, 5.92, ½ , 3.9 What does a positive integer look like? 9, 73, 7, 2, 18 Ok, so what exactly is the difference? The word INTEGER. When we are talking about INTEGERS, these are the positive & negative whole numbers. This means, no fractions and no decimals allowed.

8. Zero
Where does zero fit into all of this positive and negative business? It doesn’t…. Zero is neither positive nor negative. Both definitions. (positive and negative) are defined in terms of zero. Negative is LESS THAN zero and positive is GREATER THAN zero. Both of these completely leave zero out. Therefore, zero is neither positive or negative.

9. Zero is neither negative or positive
The Number Line
What do we need the number line for? It allows us to plot our integers. This is very helpful when we want to compare numbers.
Negative Numbers
Zero is neither negative or positive
Positive Numbers

10. When are WE going to use this??
Lots of people use integers to represent real world situations. In fact, you use it all the time!!
For example,
Ex 1) When I say “It’s 5°F below zero in New York” , how would you write that in text to tell your mom?
-5°F
Ex 2) What if I said that I hiked to the top of a mount that was 3, 124 feet above sea level? How would you
represent that with an integer?
3, 124 ft

11. Back to That whole Comparing Thing…
How could I use a number line to compare two or more numbers? Let’s look at a few examples to help us out! Ex 3) Compare 4 and 6 Ex 4) Compare -4 and -6 Ex 5) Compare 3 and -3 Ex 6) Compare 2 and 2 Ex 7) Put all the numbers we have compared in order from least to greatest

12. Let’s Be Sure we Got This
Instructions: Write an integer to represent the following real world situations Ex 1) A deposit of $25 Ex 2) A withdrawal of $100 Ex 3) A loss of 12 yards Instructions: Replace the blank with <, >, or =. Ex 1) -2 _____ -1 Ex 2) 8 _____ -5 Ex 3) -4 _____ 0

13. Answers
Ex 1) and Ex 2) given within the lesson. Ex 8) $25 Ex 3) < Ex 9) - $100 Ex 4) > Ex 10) – 12 yds Ex 5) > Ex 11) < Ex 6) = Ex 12) > Ex 7) -6, -4, -3, 2, 3, 4, 6 Ex 13) <

14. Thank You!!
Thank you so much for stopping by my store! I hope you enjoy this activity.
Check out my store for more Common Core Resources!
Thanks, Key Math Solutions
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