Common Core Alignment:.

5.G.1:

Geometry

Graph Points On The Coordinate Plane To Solve Real-World And Mathematical Problems.

Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).

6.NS.6:

The Number System

Apply And Extend Previous Understandings Of Numbers To The System Of Rational Numbers.

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.

6.NS.6a:

The Number System

Apply And Extend Previous Understandings Of Numbers To The System Of Rational Numbers.

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.

6.NS.6b:

The Number System

Apply And Extend Previous Understandings Of Numbers To The System Of Rational Numbers.

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.

6.NS.6c:

The Number System

Apply And Extend Previous Understandings Of Numbers To The System Of Rational Numbers.

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.

6.G.3:

Geometry

Solve Real-World And Mathematical Problems Involving Area, Surface Area, And Volume.

Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.