## Ellipsis Math Geometry

This course is designed to emphasize the study of the properties and applications of common geometric figures in two and three dimensions. This Geometry course includes an in-depth analysis of plane, solid, and coordinate geometry as they relate to both abstract mathematical concepts as well as real-world problem situations.

Topics include logic and proof, parallel lines and polygons, perimeter and area analysis, volume and surface area analysis, similarity and congruence. Emphasis will be placed on developing critical thinking skills as they relate to logical reasoning and argument. Abstract reasoning skill, spatial visualization skill and logical reasoning pattern skills are to developed through this course. Algebra I skills are use throughout the course.

Topics include logic and proof, parallel lines and polygons, perimeter and area analysis, volume and surface area analysis, similarity and congruence. Emphasis will be placed on developing critical thinking skills as they relate to logical reasoning and argument. Abstract reasoning skill, spatial visualization skill and logical reasoning pattern skills are to developed through this course. Algebra I skills are use throughout the course.

## 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).