Tenth graders learn to find the distance between two points and the midpoint of a segment on the coordinate plane — the distance formula flows straight from the Pythagorean theorem, and the midpoint is just the average.
Students will be able to…
Given two points on a grid, how far apart are they — and what point sits exactly in the middle? Two formulas answer both, and one comes from a theorem you already know.
Project this and move points A and B. Watch the distance and midpoint update — the distance is just the Pythagorean theorem in action!
Tap any phase to open the teacher moves and student actions.
Two points on a grid — how far apart, and what’s the midpoint?
Teacher models.
Class uses Distance & Midpoint.
Students compute.
One pair of points.
Aligned to the Common Core State Standards for Mathematics (High School Geometry).
Find the point that partitions a segment in a given ratio (midpoint).
Use coordinates to compute perimeters and areas using the distance formula.
Use coordinates to prove simple geometric theorems.
Know precise definitions of geometric figures.
Preview the three formative checks. Tap “Sample answer” to see what mastery looks like — hide them before you print for students.
Have students find the perimeter of a triangle plotted on the coordinate plane by using the distance formula on each side. A printable coordinate-geometry sheet is in the Math library.
Tap a card to flip it, then rate whether you knew it. Built from this lesson’s vocabulary.
A quick self-check with instant feedback, drawn from this lesson’s key terms.
A print-and-go review sheet with a built-in answer key. Tap “Show answer key” to reveal answers, or print the clean version for students.