Grade 6 Mathematics Module 3, Topic A, Overview

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Topic A focuses on the development of the number line in the opposite direction (to the left or below zero).  Students use positive integers to locate negative integers, understanding that a number and its opposite will be on opposite sides of zero and that both lie the same distance from zero.  Students represent the opposite of a positive number as a negative number and vice-versa.  Students realize that zero is its own opposite and that the opposite of the opposite of a number is actually the number itself (6.NS.C.6a).  They use positive and negative numbers to represent real-world quantities such as -50 to represent a $50 debt or 50 to represent a $50 deposit into a savings account (6.NS.C.5).  Topic A concludes with students furthering their understanding of signed numbers to include the rational numbers.  Students recognize that finding the opposite of any rational number is the same as finding an integer’s opposite (6.NS.C.6c) and that two rational numbers that lie on the same side of zero will have the same sign, while those that lie on opposites sides of zero will have opposite signs.

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Common Core Learning Standards

CCLS State Standard
6.NS.5 Understand that positive and negative numbers are used together to describe quantities having...
6.NS.6.a Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number...
6.NS.6.c Find and position integers and other rational numbers on a horizontal or vertical number line...

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