1. Lesson Objective: I can…
Lesson Topic: Positive and Negative Numbers on the Number Line – Opposite Direction and Value
Lesson Objective: I can…
Understand the number line including zero and numbers to the right, which are above zero, and numbers to the left, that are below zero.
Use positive and negative integers to locate negative integers, moving in the opposite direction from zero.
Understand that the set of integers include the set of positive whole numbers and their opposites as well as zero. Understand that zero is its own opposite.

2. How is it relevant? Temperature above and below zero
Checking (Deposits and Withdrawals)
Sports (Gains and Losses)
Elevation above and below sea level
it’s important in the real world

3. Integers: The set of whole numbers and their opposites, including zero
Vocabulary
The Opposite of a Number: Given a nonzero number, n, on the number line, the opposite of n, labeled –n, is the number such that:
0 is between n and –n
The distance between 0 and n is equal to the distance between 0 and –n.
The opposite of 0 is 0.
Integers: The set of whole numbers and their opposites, including zero
10 min

4. Constructing the Number Line
Draw a line
Place a point on the line, and label it 0
Locate & label the next point 1
Locate other whole numbers to the right of zero using the same scale/equal spaces
Locate the opposites of the whole numbers, labeling the first point to the left of zero, -1.
*Pay close attention to the direction and sign of a number

5. Example 1: Negative Numbers on the Number Line
Use your construction to model the location of a number relative to zero by using a curved arrow starting at zero and pointing away from zero towards the number.
Notice the arrow is pointing to the right to show a positive direction.
As we look further right on the number line, the values of the numbers increase. For example, -1 < 0 < 1 < 2 < 3
5 min

6. Example 1, Continued…
How far is the number from zero on the number line?
If 0 was a mirror facing towards the arrow, what would be the direction of the arrow in the mirror?
Would the number get larger or smaller as we move to the left of zero?

7. Example 1, Continued…
Use your construction to model the location of a number relative to zero by using a curved arrow starting at zero and pointing away from zero towards the number.
Notice the curved arrow is pointing to the left to show a negative direction.
The position of the point is now, negative 3, written as -3.
As you look to the left, the values of the numbers decrease.

8. What is the relationship between 3 and -3 on the number line?
Example 1, Continued…
What is the relationship between 3 and -3 on the number line?
This is also true for a vertical number line. On a vertical number line, positive numbers are located above zero. As we look upward on a vertical number line, the values of the numbers increase. On a vertical number line, negative numbers are located below zero. As we look further down on a vertical number line, the values of the numbers decrease.

9. Example 2: Using Positive Integers to Locate Negative Integers on the Number Line
Move your finger along your number lines to answer the following questions:
How do you find 4 on a number line.
How do you find -4?
Where do you always start when locating an integer on the number line?
What do you notice about the curved arrows that represent the location of 4 and -4?
5 min

10. Lesson Summary…
6 and -6 are the same distance from zero but on opposite sides. Positive 6 is located 6 units to the right of zerio on a horizontal number line and 6 units above zero on a vertical number line. Negative 6 is located 6 units to the left of zero on a horizontal number line and 6 units below zero on a vertical number line.
“Why is this important to know how to do? / Can anyone think of an example in which it would be important?”

11. Lesson Summary…
Number line diagrams show integers listed in order from least to greatest using equal spaces.
Starting at 0, as I move to the right on a horizontal number line, the values get larger. These numbers are called positive numbers because they are greater than zero.
Starting at 0, as I move further to the left of zero on a horizontal number line, the values get smaller. These numbers are called negative numbers because they are less than zero.
“Why is this important to know how to do? / Can anyone think of an example in which it would be important?”

12. Evaluate Your Learning
How will you “Sharpen Your Saw”?