Coordinates are pairs of numbers used to locate points on a graph or a plane. They are typically written as (x, y), where x represents the horizontal position and y represents the vertical position.

The coordinate plane consists of a horizontal x-axis and a vertical y-axis. The point where the two axes intersect is called the origin and has the coordinates (0, 0). To plot a point on the coordinate plane, you move a certain number of units to the right or left along the x-axis, and then a certain number of units up or down along the y-axis.

The coordinate plane is divided into four quadrants, labeled I, II, III, and IV, which are numbered counterclockwise starting from the top right quadrant. The signs of the x and y coordinates determine the quadrant in which a point lies.

The distance between two points with coordinates (x1, y1) and (x2, y2) can be found using the distance formula:

√((x2 - x1)^2 + (y2 - y1)^2)

The midpoint between two points with coordinates (x1, y1) and (x2, y2) can be found using the midpoint formula:

((x1 + x2)/2, (y1 + y2)/2)

- Understand the concept of coordinates and how to read them as (x, y).
- Be able to plot points on the coordinate plane and identify their coordinates.
- Learn the four quadrants of the coordinate plane and understand how to determine the quadrant in which a point lies based on its coordinates.
- Practice using the distance and midpoint formulas to find the distance and midpoint between two points on the coordinate plane.
- Complete practice problems to reinforce the understanding of coordinates and the coordinate plane.

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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-NS6]

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-NS6b]

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-NS6c]

Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate. [6-NS8]