Education Technology

Creating a Midpoint Quad

Subject Area
Math: Geometry: Quadrilaterals and Polygons
Level
9-12
Activity Time
45 Minutes
TI Calculator
TI-Nspire™ CX series
TI-Nspire™ CX CAS/CX II CAS
TI-Nspire Version
3.9
Resource Types
Lessons
Format
TNS

Creating a Midpoint Quad

Activity Overview

Explore special outer and inner quadrilaterals formed by the connected midpoints and investigate the area relationships.

Objectives

  • Students will explore the parallelogram formed by the midpoints of any quadrilateral.
  • Students will further explore special outer and inner quadrilaterals formed by the connected midpoints. Area relationships will also be investigated.
Vocabulary

  • midpoint quadrilateral
  • parallelogram
  • convex quadrilateral
  • concave quadrilateral
  • midsegment

About the Lesson

This “create your own” activity is designed to be introduced by the teacher and completed by the students as they discover and justify their conjectures. The time varies for this activity depending on whether the TI-Nspire document (.tns file) is provided or created by the students.

Subject Area
Math: Geometry: Quadrilaterals and Polygons
Level
9-12
Activity Time
45 Minutes
TI Calculator
TI-Nspire™ CX series
TI-Nspire™ CX CAS/CX II CAS
TI-Nspire Version
3.9
Resource Types
Lessons
Format
TNS
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