Plotting Points
Plotting points on a coordinate plane is a Grade 5 math skill in enVision Mathematics, Chapter 14: Graph Points on the Coordinate Plane. Each point is identified by an ordered pair (x, y): start at the origin, move right (positive) or left (negative) along the x-axis, then up (positive) or down (negative) along the y-axis. Plotting points is foundational for graphing relationships and geometric figures.
Key Concepts
Property The location of a point in the plane is given by an ordered pair $(a, b)$, where $a$ is the $x$ coordinate and $b$ is the $y$ coordinate. Starting at the origin, move along the $x$ axis to the right if the $x$ coordinate is positive, and to the left if it is negative. From there, move up if the $y$ coordinate is positive, and down if it is negative.
Examples To plot the point $(3, 4)$, you start at the origin, move 3 units to the right along the x axis, and then move 4 units up.
To plot the point $(5, 2)$, you start at the origin, move 5 units to the right along the x axis, and then move 2 units up.
Common Questions
How do you plot a point on a coordinate plane?
Start at the origin (0,0). Move right or left along the x-axis by the x-coordinate, then move up or down along the y-axis by the y-coordinate, and mark the point.
What does the ordered pair (3, 5) mean?
Move 3 units right along the x-axis and 5 units up along the y-axis from the origin.
What is the origin on a coordinate plane?
The origin is the point (0, 0) where the x-axis and y-axis intersect.
Where is plotting points taught in enVision Grade 5?
Chapter 14: Graph Points on the Coordinate Plane in enVision Mathematics, Grade 5.
What is the difference between the x-coordinate and y-coordinate?
The x-coordinate (first number) tells horizontal position, while the y-coordinate (second number) tells vertical position. They always appear in (x, y) order.