Ellipsis Math Geometry
This course emphasizes the study of the properties and applications of common geometric figures in two and three dimensions. Students engage in an in-depth exploration of plane, solid, and coordinate geometry, connecting abstract mathematical concepts to real-world problem situations.
Topics include logic and proof, parallel lines and polygons, analysis of perimeter and area, analysis of volume and surface area, and the study of similarity and congruence. Emphasis is placed on developing critical thinking through logical reasoning, mathematical argument, and problem solving. Throughout the course, students strengthen abstract reasoning, spatial visualization, and logical reasoning skills. Algebra I skills are used consistently and applied in geometric contexts.
Topics include logic and proof, parallel lines and polygons, analysis of perimeter and area, analysis of volume and surface area, and the study of similarity and congruence. Emphasis is placed on developing critical thinking through logical reasoning, mathematical argument, and problem solving. Throughout the course, students strengthen abstract reasoning, spatial visualization, and logical reasoning skills. Algebra I skills are used consistently and applied in geometric contexts.
Topics Covered
Fall semester
We will cover the basic elements that make up geometric figures: point, lines, planes, and angles. Prove congruent triangles and similar triangles, and study application of special triangles as well as using compass and straightedge for constructing geometric diagrams. We will also cover on transformation of geometric figures – translations, rotations, reflections, and dilation.
Spring semester
We will explore polygons including quadrilaterals – trapezoids, parallelograms, rhombi, rectangles, squares; geometric inequalities of triangles, circles, and three-dimensional geometry – prisms, pyramids, cylinders, cones, and sphere. We will work on Sine and Cosine Laws as well as in depth study on Circles (circumference and area).
We will cover the basic elements that make up geometric figures: point, lines, planes, and angles. Prove congruent triangles and similar triangles, and study application of special triangles as well as using compass and straightedge for constructing geometric diagrams. We will also cover on transformation of geometric figures – translations, rotations, reflections, and dilation.
Spring semester
We will explore polygons including quadrilaterals – trapezoids, parallelograms, rhombi, rectangles, squares; geometric inequalities of triangles, circles, and three-dimensional geometry – prisms, pyramids, cylinders, cones, and sphere. We will work on Sine and Cosine Laws as well as in depth study on Circles (circumference and area).