Dear Family,
Earlier this year and in previous grades, your student worked with vertical and horizontal number lines. Now, they are ready to plot points in the coordinate plane. They are familiar with using a coordinate, or a number, to describe the location of a point on a number line. To describe the location of a point that is not on a line, your student learns that they can use two perpendicular number lines, called axes, to create a coordinate plane. They see that with two number lines, they have to use two coordinates, called an ordered pair. Students construct coordinate planes, plot and label points, and answer questions about the locations of points in the coordinate plane.
Axes, origin, coordinate, x-axis, x-coordinate, y-axis, coordinate system, ordered pair, y-coordinate
AT HOME ACTIVITY
Find a sample of our lessons below to help support MATH TALK at home.
Students also have these in their APPLY workbook.
Lesson 1
Construct a coordinate system on a line.
When I draw a tick mark to represent 0 and define an interval length, iterating the length from 0, I create a coordinate system on a line. I use a coordinate to name the location of a point and to plot a point.
Lesson 2
Construct a coordinate system in a plane.
To create a coordinate system in a plane, I draw a pair of perpendicular number lines that intersect at 0. I use a point’s x- and y-coordinates to describe the point’s location to the right of the y-axis and above the x-axis. I use a point’s ordered pair to plot the point by starting at the origin, moving right along the x-axis, and moving up from there.
Lesson 3
Identify and plot points by using ordered pairs.
I know that a point located on an axis has an x- or y-coordinate of 0. I can plot points in a coordinate plane when the interval lengths between grid lines are something other than 1. When I am given ordered pairs, I can choose an interval length that allows me to plot the points on grid lines.
Lesson 4
Describe the distance and direction between points in the coordinate plane.
I can describe movement between points plotted in the coordinate plane by saying how many units to the left or right, or west or east, and how many units up or down, or north or south, one point is from another point. I notice how the x- and y-coordinates of points change as I move in different directions.