This math unit focuses on the detailed geometry of circles. At first, learners explore basic geometric principles related to circles, such as rules involving radius, tangent, and specific angles (radius tangent angle, inscribed angles, chord bisectors, and tangents). As they progress, they delve deeper into more complex concepts like the relationships and properties of cyclic quadrilaterals, the interaction of multiple tangents and secants with circles, and various circle theorems including the alternate segment theorem, intersecting chords theorem, and tangent secant theorem. The unit culminates in the application of all learned basic and advanced rules to solve intricate problems regarding angles and lengths, emphasizing both theoretical and problem-solving skills in circle geometry. The sequential learning structure builds from foundational to advanced skills, enhancing the learners’ overall understanding and capability in geometric problem-solving within the context of circles.Skills you will learn include:
Topics are small, focused areas which build towards the greater unit's goals.