1. Module 3 Rational Numbers
Lesson 2 Number Lines
Module 3 Rational Numbers

2. I can…
Use a number line and inequality symbols to describe rational numbers in real-world situations.

3. Rational numbers can be graphed on horizontal and vertical number lines.
Vertical: Up and Down
Horizontal: side-to-side

4. Horizontal Number Line: Positive numbers are to the right of zero
Horizontal Number Line: Positive numbers are to the right of zero. Negative numbers are to the left of zero.
Least
Greatest
Negative
Positive
The farther to the left, the smaller the number
The farther to the right, the bigger the number

5. Vertical Number Line: Positive numbers are above zero
Vertical Number Line: Positive numbers are above zero. Negative numbers are below zero.
Greatest
Positive
The farther down, the smaller the number
The farther up, the bigger the number
Negative
Least

6. Before you can graph rational numbers, you must first determine the interval being used to label each hash mark.
Step 1: Look between any 2 whole numbers.
Step 2: Count how many spaces are in between.
Step 3: The interval is 1/#of spaces.
For example: if there are 5 spaces, then each hash mark is equivalent to 1/5.

7. Create an interval using both fractions and decimals.
1.)
2.)
3.)

8. Examples: 1.) Identify the rational number that is represented by point A. 2.) Plot and label 2.4 (B). 3.) Plot and label 1 1/5 (C). A

9. Inequalities show that two things are not equal, but that one is greater than or less than the other.
The mathematical symbol (<) means less than.
For example: 2 < 6
This is read, “Two is less than six.”
The mathematical symbol (>) means greater than.
For example: 8 > 3
This is read, “Eight is greater than three.”

10. Inequalities really just show where rational numbers are located on a number line.
Any number to the right is >
Any number to the left is <
Least
Greatest
-10 < -9 < -8 <-7 <-6 <-5 < -4 <-3 < -2 < -1 < 0 < 1 < 2 < 3 < 4 < 5 < 6 < 7 < 8 < 9 < 10

11. Examples Write an inequality statement to compare the two numbers in the real-world situation.
1.) Terri lives closer to school because she lives 4 miles away and Josie lives 5 miles away.
2.) Monday’s temperature was warmer than Tuesday’s because on Monday it was -10˚c and on Tuesday it
was -14˚c.
3.) The Valdes Peninsula has a higher elevation than the Caspian sea. The Valdes Peninsula has an elevation of 131 feet above sea level and the Caspian Sea has an elevation of 92 feet above sea level.