1. Compare and Order Rational Numbers
7th Grade Math
Lesson Objective:
Students will compare and order fractions and decimals.

2. Vocabulary Rational Number
Any number that can be written as a fraction
Examples: whole numbers, integers, fractions, decimals and percents

3. Compare Rational Numbers
Use <, >, or = to make the statement true.
-5 __ 3
<
-4 __ -6
> 3 -5 -4 -6

4. Compare Rational Numbers
Use <, >, or = to make the statement true.
¾ __ ¼
>
-1 5/6 __ -1 1/6
< 1
-11/6 -1 -2
-15/6

5. Whiteboard Practice
Use <, >, or = to make the statement true.

6. Least Common Multiple
If the fractions are unlike, find a common denominator to compare them.
12 x 1 = 12
18 x 1 = 18
12 x 2 = 24
18 x 2 = 36
12 x 3 = 36

7. Compare Rational Numbers
Use <, >, or = to make the statement true.
> so
>

8. Whiteboard Practice
Use <, >, or = to make the statement true.

9. Real World Example
In Mr. Huang’s math class, 6 out of 32 students own roller shoes. In Mrs. Trevino’s math class, 5 out of 29 students own roller shoes. In which class does a greater fraction of students own roller shoes?
Mr. Huang
6 ÷ 32 =
Mrs. Trevino
5 ÷ 29 =
0.1875
0.1724

10. Whiteboard Practice
The table shows hoe much copper is in each type of coin. Which coin contains the greatest amount of copper?
Coin
Amount of Copper
Dime
12/16
Nickel
3/4
Penny
1/400
Quarter
23/25

11. Whiteboard Practice
Gracia and Jim were shooting free throws. Gracia made 4 out of 15 free throws. Jim missed 6 out of 16 free throws. Who made the free throw a greater fraction of the time?

12. Ordering Rational Numbers
List the numbers 3.44, π, 3.14, and 3.4 in order from least to greatest.
1. Write all numbers to the same place value.
3.440 , 3.141, 3.140, 3.444
2. Order the numbers according to directions.
3.140
3.141
3.440
3.444 or
3.14 , π, 3.44, 3.4

13. Whiteboard Practice Order each set of numbers from least to greatest.
0.23, 0.19, 1/5
-0.615, -5/8, -0.62
-1.4, -11/25, -1.25
8/10, 0.81, 0.805