Copyright 2011 Kentucky Department of Education

Grade Level/ Course: 6th Grade Standard 6.NS.6abc Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes with code: familiar from previous grades to represent points on the line and in the plane with negative number coordinates. a. Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., -(-3) = 3 and that 0 is its own opposite. b. Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes. c. Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane. Domain: Number Sense Cluster: Apply and extend previous understandings of numbers to the system of rational numbers. Type: ______Knowledge ___X___Reasoning ______Performance Skill ______Product

Copyright © 2011 Kentucky Department of Education The content of this document constitutes original works of authorship owned by the Kentucky Department of Education (KDE) and may not be reproduced without the express, written permission of the KDE. Make sense of Reason abstractly Construct viable Model with Use appropriate Attend to Look for and make Look for and problems and and quantitatively. arguments and mathematics. tools strategically. precision. use of structure. express regularity in persevere in critique the repeated reasoning. solving them. reasoning of others.

Knowledge Targets Reasoning Targets Performance Skills Product Targets Targets Identify a rational number as a point on Reason that the opposite of the opposite of a the number line. number is the number itself.

Identify the location of zero on a Reason that when only the x value in a set of number line in relation to positive and ordered pairs are opposites, it creates a reflection negative numbers over the y axis, e.g., (x,y) and (-x,y)

Recognize opposite signs of numbers as Recognize that when only the y value in a set of locations on opposite sides of 0 on the ordered pairs are opposites, it creates a reflection number line over the x axis, e.g., (x,y) and (x, -y)

Recognize the signs of both numbers in Reason that when two ordered pairs differ only by an ordered pair indicate which quadrant signs, the locations of the points are related by of the coordinate plane the ordered pair reflections across both axes, e.g., (-x, -y) and (x,y) will be located

Find and position integers and other rational numbers on a horizontal or vertical number line diagram

Find and position pairs of integers and other rational numbers on a coordinate plane Copyright © 2011 Kentucky Department of Education The content of this document constitutes original works of authorship owned by the Kentucky Department of Education (KDE) and may not be reproduced without the express, written permission of the KDE.