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**Compare and Order Rational Numbers**

7th Grade Math Lesson Objective: Students will compare and order fractions and decimals.

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**Vocabulary Rational Number**

Any number that can be written as a fraction Examples: whole numbers, integers, fractions, decimals and percents

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**Compare Rational Numbers**

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

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**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

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

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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

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**Compare Rational Numbers**

Use <, >, or = to make the statement true. > so >

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

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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

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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

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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?

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**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

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**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

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