A PowerPoint Presentation Introducing the Concept of Integers

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.

Introduction to Integers

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

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

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.

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.

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.

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

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

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

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

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) <

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! https://www.teacherspayteachers.com/Store/Key-Math-Solutions Thanks, Key Math Solutions Borders, Fonts, and Backgrounds were used from: https://www.teacherspayteachers.com/Store/Carrie-Manchester and Font/s From the Pond http://frompond.blogspot.com and https://www.teacherspayteachers.com/Store/Glitter-Crayons-And-Little-Hands