Coordinates
Coordinates is a Grade 8 math skill in Saxon Math Course 3, Chapter 1, where students learn to locate and plot ordered pairs (x, y) on the coordinate plane, identify the x- and y-axes, and understand the four quadrants. Coordinate skills are the foundation for graphing functions, transformations, and algebraic problem solving throughout middle and high school math.
Key Concepts
Property We can identify any point on the coordinate plane with two numbers called coordinates of the point. The coordinates are written as a pair of numbers in parentheses, such as $(3, 2)$.
Examples To plot the point $(5, 3)$, you start at the origin, move 5 units right, and then 3 units up. To plot the point $( 2, 4)$, you start at the origin, move 2 units left, and then 4 units down. A point on the x axis, like $(4, 0)$, means you move 4 units right but $0$ units up or down.
Explanation Coordinates are a point's secret address, written as $(x, y)$. The first number tells you how far to 'run' along the x axis hallway (left or right). The second number tells you how high to 'rise' on the y axis elevator (up or down). Just remember to run before you rise!
Common Questions
What are coordinates in math?
Coordinates are an ordered pair (x, y) that describe the exact location of a point on the coordinate plane, where x is the horizontal position and y is the vertical position.
How do you plot a point on the coordinate plane?
Start at the origin (0,0), move horizontally by the x value (right if positive, left if negative), then move vertically by the y value (up if positive, down if negative) and mark the point.
What are the four quadrants of the coordinate plane?
Quadrant I has positive x and positive y. Quadrant II has negative x and positive y. Quadrant III has negative x and negative y. Quadrant IV has positive x and negative y.
What is the origin on the coordinate plane?
The origin is the point (0, 0) where the x-axis and y-axis intersect.
Where are coordinates taught in Grade 8?
Coordinates are covered in Saxon Math Course 3, Chapter 1: Number and Operations and Measurement.