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7-N-2-6

Page history last edited by Tashe Harris 6 years, 1 month ago

7.N.2.6 Explain the relationship between the absolute value of a rational number and the distance of that number from zero on a number line. Use the symbol for absolute value.


In a Nutshell

The absolute value of a number is the same as the distance from the number to zero on a number line. Use absolute value notation appropriately.

Student Actions

Teacher Actions

  • Develop mathematical reasoning of numbers and efficient procedures to determine that distance, and therefore the absolute value, between two objects is always positive regardless of where the objects lie in a plane.
  • Develop a deep and flexible understanding of absolute value and how it relates to distance.

  • Develop the ability to model absolute value utilizing a number line.

  • Implement tasks that promote the understanding of absolute value as the distance from zero.
  • Use and connect mathematical representations of absolute value to a number line. 

 

Key Understandings

Misconceptions

  • Number lines extend to the left and right of zero.

  • Distance is always positive.

  • Absolute value is distance from zero.

  • Absolute value notation | |.
  • Students may think distance from a negative number to zero is negative.

  • Students may think the absolute value symbols mean "opposite of."

  • Students may forget that there are sometimes two possible values for answers when evaluating absolute value. For example, in the equation |x| = 5 what could x be? Students may say x = 5 but forget that the answer could also be x = - 5.

OKMath Framework Introduction

7th Grade Introduction

 

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