Maths challenge.net: Unique Circle Equal Angles

Right angles, acute angles, obtuse angles, central angles, inscribed angles: how many types of angles are there? Learners first investigate definitions of inscribed angles, central angles, and intercepted arcs. The majority of the...

Inscribed angles are central to the lesson. Young mathematicians build upon concepts learned in the previous lesson and formalize the Inscribed Angle Theorem relating inscribed and central angles. The lesson then guides learners to prove...

You and your learners will enjoy having a nicely organized, typed up unit circle, all filled in with degrees and radians as well as cartesian coordinates. 

Circle the angles and intercept the arcs. The video introduces three theorems relating to inscribed angles in circles. Using drawings, the segment of a playlist on geometry illustrates the measure of angle along with theorems about two...

Relationships in circles build from the many connections made throughout the geometry course. The instructor in the video explains these connections as she builds the concept of inscribed angles. Using examples, the narrator highlights...

A lune of a circle is defined and a problem of finding the area of two lunes is given.

A geometric proof. Prove two angles in this model are equal in measure.

It's all about the patterns! Young scholars learn that the unit circle repeats itself in all four quadrants. Using these patterns, they evaluate the sine, cosine, and tangent of special angles.

A geometry proof involving exterior angles of a triangle.

An area problem involving finding the area of a rectangle and a circle. The problem may be made into a general proof as well.