Geometry introduces the tools central to the study of space and spatial relationships. Students learn the classical methods of finding the area of important two-dimensional shapes, including quadrilaterals and circles. They learn the basic geometry of three-dimensional shapes and some methods of finding simple volumes and surface areas. Taking Geometry helps develop spatial reasoning ability, and, with it, the capacity to represent shapes and figures in powerful ways.
Sophomore students will be taking this course through Agile Mind, an online curriculum source.
Topics covered include:
Quarter 1: Aug. 5 – Oct. 8
- Using Inductive Reasoning and Conjectures
- Rigid Transformations
- Transformations and Coordinate Geometry
- Deductive Reasoning, Logic, and Proof
- Conditional Statements and Converses
- Lines and Transversals
Quarter 2: Oct. 15 – Dec. 19
- Properties of a Triangle
- Special Lines and Points in Triangles
- Congruent Triangle Postulates
- Using congruent Triangles
- Compass and Straightedge Constructions
Quarter 3: Jan. 6 – Mar. 13
- Applications of Similarity
- Pythagorean Theorem/Distance Formula
- Right Triangle and Trig Relationships
- Trigonometry in General Triangles
- Polygons and Special Quadrilaterals
- Algebraic Representations of Circles
- Chords, Arcs, and Inscribed Angles
- Lines and Segments of Circles
Quarter 4: Mar. 17 – May 22
- Modeling with Area
- Arc Length and Sectors of Circles
- Relating 2-D and 3-D Objects
- Prisms and Cylinders
- Pyramids and Cones
- Spheres