
This course provides an opportunity for students to explore Trigonometry, Analytic Geometry, and Modeling. Topics include properties and solutions for right triangles, Law of Sines and Cosines and their applications; properties and construction of circles and tangents to circles, properties and construction of cyclic quadrilaterals and regular polygons; parallel and perpendicular lines, deriving their slopes and distance between them; surface area, volume, and perimeter of several types of geometric figures; describing and applying geometric measurements for practical purposes; rotating 2D objects, cross-section of 3D geometric figures; concepts of density and solving design problems using geometric concepts. Students perform constructions, measure figures, observe patterns, discuss their findings, write their own definitions, and formulate and prove geometric conjectures.
Section 1: Trigonometry of triangle
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Section 2: Circles
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Section 3: Analytical geometry in the plane
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Section 4: Geometric measurements and dimensions
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Section 5: Modeling with geometry
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