ACT Math

Lesson Plan

Midpoint formula

Goals / Objectives

Compute the midpoint of a segment given both endpoints, using M = ((x_1+x_2)/2, (y_1+y_2)/2)

Explain why averaging each pair of coordinates separately lands on the point halfway along the segment

Find the missing endpoint when one endpoint and the midpoint are given, by solving two one-variable equations

Use the midpoint to locate the center of a circle from the endpoints of a diameter, and to decide whether a given point bisects a segment

Distinguish a midpoint question from a distance question by what the stem asks for, and state which operation each requires

Standards

G 511. Find the midpoint of a line segment G 510. Determine the slope of a line from points or a graph G 605. Use the distance formula

Academic Vocabulary

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Remediation

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