Compare and Order Rational Numbers

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 > -6 -4 0 -5 0 3

4. Compare Rational Numbers • Use <, >, or = to make the statement true. ¾ __ ¼ < > -1 5/6 __ -1 1/6 0 ¼ 1 -2 -15/6 -1 ¾ -11/6

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 18 x 2 = 36 12 x 2 = 24 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?

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