6th Grade Math Activities: Understanding Absolute Value. by Amara Walls

Instructions:

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Identify and compare the absolute values of the given rational numbers. Write down the absolute value of each number and order them from least to greatest. Explain your reasoning.

Example:

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Rational Numbers: -5, 3, -7.5, 2.5

Absolute Values: 5, 3, 7.5, 2.5

Ordered from Least to Greatest: 2.5, 3, 5, 7.5

Reasoning: Absolute value measures distance from zero without considering direction.

Instructions:

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Solve real-world problems involving the absolute value of rational numbers. Explain how you determined the distances and justify your answers.

Example:

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Problem: The temperature was -3°C in the morning and 4°C in the afternoon. What is the temperature difference?

Solution: |-3| + |4| = 3 + 4 = 7°C

Reasoning: The absolute value represents the magnitude of temperature change regardless of direction.

Instructions:

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Create your own real-world scenario involving absolute values. Provide enough information for your classmates to solve your problem. Answer one of the problems created by someone else.

Example:

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Problem: Imagine you are at sea level (0 meters). You dive to -15 meters and then ascend to 10 meters above sea level. What is the total distance you traveled?

Solution: |-15| + |10| = 15 + 10 = 25 meters

Why:

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What Order Should These numbers be in:

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-7, 4, -5.5, 3.5

Problem:

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The Temperature was -10C at 9am and 12C at 3pm what is the difference in temperature between 9am and 3pm?

Why:

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Create Your Own Problem Here:

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