Activity
101 Questions

Best Midpoint

For Teachers 9th - 12th Standards
Develop a strong understanding of what it means to be a midpoint. Learners analyze the angles, coordinates, and lengths of segments and their approximated midpoints. They use their analyses to develop a formula to rank four attempts at...
Lesson Plan
Illustrative Mathematics

Joining Two Midpoints of Sides of a Triangle

For Teachers 9th - 11th Standards
Without ever using the actual term, this exercise has the learner develop the key properties of the midsegment of a triangle. This task leads the class to discover a proof of similar triangles using the properties of parallel...
Activity
Education Development Center

Proof with Parallelogram Vertices

For Teachers 8th - 10th Standards
Geometric figures are perfect to use for proofs. Scholars prove conjectures about whether given points lie on a triangle and about midpoints. They use a provided dialogue among fictional students to frame their responses.
Lesson Plan
Curated OER

Finding the Area of an Equilateral Triangle

For Teachers 9th - 11th Standards
The problem seems simple: find the area of the equilateral triangle whose sides are each length 1. In fact, this same problem is solved in 8th grade, addressing a different Common Core standard, using the formula for area of a triangle...
Activity
Illustrative Mathematics

Reflections and Isosceles Triangles

For Teachers 9th - 11th Standards
Geometers explore symmetries of isosceles triangles by using rigid transformations of the plane. They complete four tasks, including congruence proofs, which illustrate the relationship between congruence and rigid transformations. The...
Activity
Illustrative Mathematics

Tangent to a Circle From a Point

For Teachers 9th - 10th Standards
Learners see application of construction techniques in a short but sophisticated problem. Combining the properties of inscribed triangles with tangent lines and radii makes a nice bridge between units, a way of using...
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
Rice University

Rice University: Cynthia Lanius: School Bus Geometry

For Students 9th - 10th
This site gives a lesson on school bus (Taxicab) geometry. The lesson includes distances and midpoints in taxicab geometry.
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.
Activity
CK-12 Foundation

Ck 12: Segments From Chords

For Students 9th - 10th Standards
[Free Registration/Login Required] Students will move points to create a midpoint on a chord. Click 'Challenge Me' to answer a practice question.
Activity
Texas Instruments

Texas Instruments: Investigating Segments in a Quadrilateral

For Teachers 9th - 10th Standards
In this activity, students use the tools of Cabri Jr to test their knowledge of geometry. They investigate the properties of the shape formed by connecting the midpoints of adjacent sides of a quadrilateral.

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