Unit 7, Lesson 13
Distances in the Coordinate Plane
Accelerated 6
Preparation
Lesson Narrative
In this lesson, students explore the relationship between points with opposite coordinates and develop strategies for finding vertical and horizontal distances in the coordinate plane. Students begin by plotting points in one of the four quadrants. By comparing the coordinates of points in the different quadrants, students generalize patterns about their signs (MP8). Next, students explore points where the - or -coordinates are opposites and see that they are also reflections across the - or -axis. Then students develop strategies for finding the distance between two points where the coordinates may not be integers.
- Compare and contrast (orally and in writing) the coordinates for points in different locations on the coordinate plane.
- Determine the vertical or horizontal distance between two points on the coordinate plane that share the same $x$- or $y$-coordinate.
- Generalize (orally) about the coordinates of points that are reflected across the $x$- or $y$-axis.
Let’s explore distance on the coordinate plane.
Required Preparation
For the digital version of the activity, acquire devices that can run the applet.
For the digital version of the activity, acquire devices that can run the applet.