Geometry

Course Description

Semester A

This course introduces students to the core structures and reasoning of geometry through a focused study of basic shapes, logic, lines and angles, triangles, congruence, similarity, and introductory trigonometric ideas. Across 60 lessons, students build a strong foundation in geometric proof, learning how to justify relationships using deductive and indirect reasoning. Special emphasis is placed on triangle congruence and similarity and the key theorems, postulates, and properties. Interactive videos and practical assignments help students see how these ideas apply to real-world problem-solving, while the course steadily develops their ability to write, analyze, and communicate geometric arguments with clarity and precision.

 

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, for a total of 60 lessons in the course.

Course Requirements

Grade Level

9th Grade

Duration

2 Semesters

Credit Value

1.0

Prerequisites

Algebra 1

Technology Skills (special)

Desmos and GeoGebra experience is helpful but not required.

Semester A

Major Concepts

Basic shapes

Logic

Lines and angles

Triangles

Congruence and similarity

Trigonometric ratios

 

Semester A Syllabus

Semester B

Major Concepts

Quadrilaterals

Transformations

Area

Surface Area

Volume

Probability

 

Semester B Syllabus