Handout
University of Toronto (Canada)

University of Toronto: Why the Midpoint Formula Works

For Students 9th - 10th Standards
A written proof that shows how the midpoint formula works.
Activity
Texas Instruments

Texas Instruments: Midpoint Formula Discovery

For Teachers 9th - 10th
Step by step instructions are given for the students to draw a segment, find the midpoint, and label the coordinates of the two endpoints and the midpoint. The students then record the data in a table for various segments. Based on the...
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Midpoint of a Line Segment

For Students 9th - 10th
Twenty problems present a variety of problems working with various aspects of finding the midpoint of a line segment. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem...
Activity
Texas Instruments

Texas Instruments: The Midpoint Formula

For Teachers 9th - 10th
The purpose of the activity is for students to verify the results of the Midpoint Formula using the dynamic capabilities of Cabri Jr.
Activity
Texas Instruments

Texas Instruments: Special Midpoint Quadrilaterals

For Teachers 9th - 10th Standards
Midpoint Quadrilaterals are quadrilaterals that are formed when consecutive midpoints of a quadrilateral are connected. This activity will use Cabri Jr. to investigate what properties an exterior quadrilateral has if its midpoint...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Angle Bisection and Midpoints of Line Segments

For Teachers 9th - 10th Standards
This task provides a construction of the angle bisector of an angle by reducing it to the bisection of an angle to finding the midpoint of a line segment. Aligns with G-CO.D.12.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Midpoints of the Sides of a Paralellogram

For Teachers 9th - 10th Standards
Suppose that ABCD is a parallelogram and that M and N are the midpoints of lines AB and CD respectively. Learners are asked to prove that MN=AD, and that the line MN is parallel to line AD. Aligns with G-CO.C.11.
Activity
Texas Instruments

Texas Instruments: Midpoint of a Segment

For Teachers 9th - 10th Standards
Students review the basic geometry definitions of segment and midpoint, and learn to use drawing and measurement tools. They explore changes in measurements as the figure is altered.
Unit Plan
CK-12 Foundation

Ck 12: Volume of Pyramids: Midpoints and Segment Bisectors

For Students 6th - 9th Standards
[Free Registration/Login Required] Students explore the concept of midpoints and segment bisectors by navigating through the interactive learning module and then answering questions that go along with the module. Students can also learn...
Unit Plan
CK-12 Foundation

Ck 12: Volume of Pyramids: Midpoint Map

For Students 9th - 10th Standards
[Free Registration/Login Required] Students explore the concept of midpoints and segment bisectors by navigating through the interactive learning module and then answering questions that go along with the module. Students can also learn...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Midpoints of Triangle Sides

For Teachers 9th - 10th Standards
The goal of this task is to use similarity transformations to relate two triangles. The triangles are obtained by taking midpoints of two sides of a given triangle. Aligns with HSG-CO.C.10.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Srt Joining Two Midpoints of Sides of a Triangle

For Teachers 9th - 10th Standards
In this task, students must prove that angles and triangles are congruent and that a parallel line passes through the midpoints of two sides of the larger triangle. Aligns with G-SRT.B.4.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Gpe a Midpoint Miracle

For Teachers 9th - 10th Standards
For this task, young scholars are asked to draw a quadrilateral so that no two sides are congruent, no two angles are congruent, and no two sides are parallel. The task gives students the opportunity to prove that if we join the...
Graphic
University of California

Ucla Mathematics Department : Midpoint Rule

For Students 9th - 10th
This site from UCLA Mathematics Department explains the Midpoint Rule and how it relates to a double integral and finding surface area.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Positions and Midpoints in Two Dimensions

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] Position vectors and identifying midpoints in 2 dimensions
Activity
Other

Numerical Integration: The Left and Right Rectangle Rules and the Midpoint Rule

For Students 9th - 10th
A detailed and comprehensive site dealing with the Left and Right Rectangle Rules and the Midpoint Rule. Includes formulas and graphs.
Unit Plan
Oswego City School District

Regents Exam Prep Center: Midpoint of a Line Segment

For Students 9th - 10th
Examples for using the midpoint formula are given at this site.
Lesson Plan
Alabama Learning Exchange

Alex: Midpoint of a Line Segment.

For Teachers 6th - 8th Standards
Investigate finding the midpoint of a line segment and derive the formula for the midpoint of two points on a coordinate plane. This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
Graphic
Oswego City School District

Oswego City School: Midpoint Formula

For Students 9th - 10th
Students are given methods with pictures to solve for the midpoint of a line segment.
Activity
Texas Instruments

Texas Instruments: Distance and Midpoint Formulas

For Teachers 9th - 10th
Self checking using the attached LearningCheck .edc file. These six questions, maybe used for class warmup, review, or checking for understanding.
Activity
Mathematics Archives

Math Archives: Midpoint Rule

For Students 9th - 10th
This site, which is provided for by the University of Tennessee, Knoxville, has a worked example the student can examine on the midpoint rule
PPT
Sophia Learning

Sophia: Midpoint vs. Segment Bisector: Lesson 7

For Students 9th - 10th Standards
This lesson defines midpoint and segment bisector, and provides examples that demonstrate how to distinguish between the two. It is 7 of 10 in the series titled "Midpoint vs. Segment Bisector."
Handout
Math Open Reference

Math Open Reference: Midpoint of a Line Segment

For Students 9th - 10th Standards
Learn about the midpoint of a line segment with this helpful reference tool. Provides a detailed definition and an interactive activity that enhance further explanation. Includes links to related topics.
Unit Plan
Sophia Learning

Sophia: Finding a Missing Coordinate Using the Midpoint Formula: Lesson 2

For Students 9th - 10th
This lesson demonstrates how to find a missing x or y coordinate of a segment when given the midpoint of the two points on a coordinate plane. It is 2 of 5 in the series titled "Finding a Missing Coordinate using the Midpoint Formula."

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