Theorem Videos

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Implicit Function Theorem Using the Implicit Function Theorem to find partial derivatives.

Professor Edward Burger explains more on the remainder theorem in this video from Thinkwell's online Algebra series.

Professor Edward Burger explains the factor theorem and its uses in this video from Thinkwell's online Algebra series.

Professor Edward Burger explains using the binomial theorem in this video from Thinkwell's online Algebra series.

Professor Edward Burger presents the rational zero theorem in this video from Thinkwell's online Algebra series.

Professor Edward Burger explains using Demoivre's theorem to raise a complex number to a power in this video from Thinkwell's online Algebra series.

Professor Edward Burger explains solving with the pythagorean theorem in this video from Thinkwell's online Algebra series.

I have discovered a mathematical theorem that will indicate the most terrifying potential rapists in the world.

Visit Leon the Pendulum (named after the French physicist Jean Bernard L on Foucault). Spanning four stories, Leon appears to rotate once every 48 hours, although it actually swings back and forth in the same place while the Earth turns beneath it.

To access the complete lesson on this topic, go to http://www.yourteacher.com. Students learn that an isosceles triangle is composed of a base, two congruent legs, two congruent base angles, and a vertex angle. Students also learn the isosceles triangle theorem, which states that if two sides of a triangle are congruent, then the angles opposite those sides are congruent; and the converse of the isosceles triangle theorem, which states that if two angles of a triangle are congruent, then the sides opposite those angles are congruent. Students are then asked to solve problems related to these theorems using Algebra.

To access the complete lesson on this topic, go to http://www.yourteacher.com. Students learn the following theorems related to similar triangles. If an angle of one triangle is congruent to an angle of another triangle, and the lengths of the sides that include each angle are in proportion, then the triangles are similar (Side-Angle-Side Similarity Theorem, or SAS Similarity Theorem). If the lengths of the sides of two triangles are in proportion, then the triangles are similar (Side-Side-Side Similarity Theorem, or SSS Similarity Theorem). Students are then asked to determine whether given triangles are similar based on these theorems.

To access the complete lesson on this topic, go to http://www.yourteacher.com. Students learn the following postulates related to congruent triangles. If the three sides of one triangle are congruent to the three sides of another triangle, then the triangles are congruent (Side-Side-Side or SSS). If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent (Side-Angle-Side or SAS). If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent (Angle-Side-Angle or ASA). Students are then asked to determine whether given triangles are congruent, and name the postulate that is used.

To access the complete lesson on this topic, go to www.yourteacher.com. Students learn the definition of vertical angles and the vertical angle theorem, and are asked to find the measures of vertical angles using Algebra. Students also solve two-column proofs involving vertical angles.

To access the complete lesson on this topic, go to www.yourteacher.com. Students learn the definition of an inscribed angle, and that the measure of an inscribed angle is equal to the measure of its intercepted arc. Students also learn the following theorems related to inscribed angles. If two inscribed angles intercept the same arc, then the angles are congruent. An angle inscribed in a semicircle is a right angle. If a quadrilateral is inscribed in a semicircle, then opposite angles are supplementary. The measure of an angle formed by a chord and its tangent is half the measure of the intercepted arc. Students are then asked to find the missing measures of arcs and angles in given circles using these theorems.