INTRODUCING INTEGERS

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INTRODUCING INTEGERS
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Unit Essential Questions

• What are integers?
• When do we work with integers in the real world?
• How do we add and subtract integers?

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Lesson Essential Questions

• What are integers?
• What situations can be represented with integers?
• In what ways can we order and compare integers?

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Key Vocabulary

• Integers
• Positive Numbers
• Negative Numbers
• Positive Integers
• Negative Integers
• Addends
• Sum
• Difference
• Opposites

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Integers

• Whole numbers and their opposites are integers
  such as 6 and -6.
• Zero is also a whole number.

0
6
-6

Opposites
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Definition

• Positive number a number greater than zero.

0
1
2
3
4
5
6
7
Definition

• Negative number a number less than zero.

0
1
2
3
4
5
6
-1
-2
-3
-4
-5
-6
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Definition

• Opposite Numbers numbers that are the same
  distance from zero in the opposite direction

0
1
2
3
4
5
6
-1
-2
-3
-4
-5
-6
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Negative Numbers Are Used to Measure Temperature
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Negative Numbers Are Used to Measure Under Sea
Level
30
20
10
0
-10
-20
-30
-40
-50
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Negative Numbers Are Used to Show Debt
Lets say your parents bought a car but had to
get a loan from the bank for 5,000. When
counting all their money they add in -5.000 to
show they still owe the bank.
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INTRODUCTION TO INTEGERS

• Integers are positive and negative numbers.
• , -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5,
  6,
• Each negative number is paired with a positive
  number the same distance from 0 on a number line.

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0
1
-3
-2
-1
3
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INTRODUCTION TO INTEGERS

• We can represent integers using red and yellow
  counters.
• Red tiles will represent negative integers, and
  yellow tiles will represent positive integers.

Positive integer
Negative integer
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INTRODUCTION TO INTEGERS

• The diagrams below show 2 ways to represent -3.
• Represent -3 in 2 more ways.

-3
-3
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INTRODUCTION TO INTEGERS

• Students may represent -3 by using 3 red tiles
  and any number of groups of 1 and -1 tiles

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INTRODUCTION TO INTEGERS

• Tell which integer each group of tiles
  represents.

1
-2
2
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INTRODUCTION TO INTEGERS

• If there are the same number of red tiles as
  yellow tiles, what number is represented?
• It represents 0.