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Distance formula
Start lessonBegins with Distance formula · Slides
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
- Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
- Guided Notes →One page your students fill in and keep.
- Exit Ticket →Three items at the end of class. No student accounts.
- Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
- Homework →Assign practice; it grades itself.
G 605. Use the distance formula
N 405. Find the distance in the coordinate plane between two points with the same x-coordinate or y-coordinate
G 602. Use the Pythagorean theorem
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G 605. Use the distance formula
N 405. Find the distance in the coordinate plane between two points with the same x-coordinate or y-coordinate
G 602. Use the Pythagorean theorem
What you'll learn
- Compute the distance between two points using d = sqrt((x_2-x_1)^2 + (y_2-y_1)^2)
- Derive the distance formula from the Pythagorean theorem by constructing a right triangle on the coordinate grid
- Find the perimeter of a polygon given vertex coordinates by summing pairwise distances
- Determine whether a triangle is right, isosceles, or equilateral by comparing its side lengths computed via the distance formula
- Solve ACT-style problems where the distance and one endpoint are given, or where three points are given and the closest pair must be identified
Review first:
Slides
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1
Distance formula
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