# Ordered Pairs & Coordinate Plane (Grade 6)

Videos and lessons to help Grade 6 students understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes 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.

Common Core: 6.NS.6b and 6.NS.6c

### Suggested Learning Targets

• I can recognize the signs of both numbers in an ordered pair indicate which quadrant of the coordinate plane the ordered pair will be located.
• I can reason that when only the x value in a set of ordered pairs are opposites, it creates a reflection over the y axis, e.g., (x,y) and (x,-y).
• I can recognize that when only the y value in a set of ordered pairs are opposites, it creates a reflection over the x axis, e.g., (x,y) and (x,-y).
• I can reason that when two ordered pairs differ only by signs, the locations of the points are related by reflections across both axes, e.g., (-x,-y) and (x,y).

Related Topics:

Understanding ordered pairs, signs and the coordinate plane--Lesson 1 of 5 (Common Core 6.NS.6b)
In this lesson you will learn about the coordinate plane by combining horizontal and vertical number lines.

Understanding ordered pairs, signs and the coordinate plane--Lesson 2 of 5 (Common Core 6.NS.6b)
In this lesson you will learn how to graph points by using a coordinate plane.

Understanding ordered pairs, signs and the coordinate plane--Lesson 3 of 5 (Common Core 6.NS.6c)
In this lesson you will learn how to graph rational numbers by using a coordinate plane.

Understanding ordered pairs, signs and the coordinate plane--Lesson 4 of 5 (Common Core 6.NS.6b)
In this lesson you will learn how to reflect points over the x and y axes by using a coordinate plane.

Understanding ordered pairs, signs and the coordinate plane--Lesson 5 of 5 (Common Core 6.NS.6b)
In this lesson you will learn how to translate shapes across the x and y axes by using a coordinate plane.

Plotting Points in a Coordinate Plane (Common Core 6.NS.6b)
In this video, students will learn to plot points in all 4 quadrants of a coordinate plane.

Rational Numbers on Coordinate Plane (Common Core 6.NS.6c)

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.