Geometry

Semester A

In the first semester of Geometry, students build foundational knowledge in geometric notation, tools, and definitions. They apply these concepts through constructions and transformations. Students then study logic, where they identify statement types, evaluate and order statements, to develop skills for constructing formal proofs. Initial proofs focus on angle relationships and triangle properties, then expand to congruence and similarity. The semester concludes with right triangle trigonometry. Students are introduced to the sine, cosine, and tangent ratios, as well as their applications in problem-solving.

Semester B

Semester B builds and extends the skills students gained in semester A. The course continues to emphasize deductive and indirect reasoning as students write proofs relating to quadrilaterals and conics. This work is scaffolded using interactive videos. Students also apply geometric thinking to real-world problems through geometric transformations, and the algebraic and graphical representation of those transformations. Students endeavor to deepen their understanding of measurement by calculating area, surface area, and volume for a wide range of two- and three dimensional figures. The semester concludes with an introduction to probability and predicting outcomes. This semester includes six modules, each containing ten lessons.

Semester A

Geometric Tools
Logic and Proofs
Angles and Lines
Congruent & Similar Triangles
Triangles
Trigonometric Ratios

Semester A Syllabus

Semester B

Polygons
Transformations
Circles
Area and Surface Area
Volume
Probability

Semester B Syllabus