This video is from the Khan Academy subject of Math on the topic of Geometry and it covers Area of shaded region made from equilateral triangles.
This video is from the Khan Academy subject of Math on the topic of Geometry and it covers Axis of symmetry.
An elegant visual proof of the Pythagorean Theorem developed by the 12th century Indian mathematician Bhaskara.
Perimeter of rectangle covered by 9 non-overlapping squares. From 200) American Invitational Math Exam
Interesting similarity problem where we don't have a lot of information to work with
Interesting problem finding the sums of particular exterior angles of an irregular pentagon
Showing that the midpoint of the hypotenuse is the circumcenter
Multiple proofs showing that a point is on a perpendicular bisector of a segment if and only if it is equidistant from the endpoints. Using this to establish the circumcenter, circumradius, and circumcircle for a triangle
Showing that a triangle with the same point as the orthocenter and centroid is equilateral
Basics of complementary, supplementary, adjacent and straight angles. Also touching on what it means to be perpendicular
Showing that segments have the same length
Proving that a point is the midpoint via triangle congruency
What it means for triangles to be congruent
Showing that congruent legs imply equal base angles and vice versa
This video is from the Khan Academy subject of Math on the topic of Geometry and it covers Congruent segments.
This video is from the Khan Academy subject of Math on the topic of Geometry and it covers Constructing an angle bisector using a compass and straightedge.
This video is from the Khan Academy subject of Math on the topic of Geometry and it covers Constructing a perpendicular bisector using a compass and straightedge.
This video is from the Khan Academy subject of Math on the topic of Geometry and it covers Constructing a perpendicular line using a compass and straightedge.
Finding the volume and surface area of a cylinder
Students learn about the mathematical characteristics and reflective property of ellipses by building their own elliptical-shaped pool tables. After a slide presentation introduction to ellipses, student “engineering teams” follow the steps of the engineering design process to develop prototypes, which they research, plan, sketch, build, test, refine, and then demonstrate, compare and share with the class. Using these tables as models to explore the geometric shape of ellipses, they experience how particles rebound off the curved ellipse sides and what happens if particles travel through the foci. They learn that if a particle travels through one focal point, then it will travel through the second focal point regardless of what direction the particle travels.