Course Overview

Honors Geometry B continues the accelerated study of geometry, guiding students into advanced applications of trigonometry, spatial reasoning, and mathematical modeling. Building on the foundation from Honors Geometry A, this course emphasizes rigorous reasoning, precision, and the ability to apply geometric concepts to real-world and cross-disciplinary contexts. Students are encouraged to approach mathematics as a discipline of inquiry, deepening their skills as critical thinkers and problem-solvers.

Key Learning Focus

Students will explore:

• Trigonometry in right and non-right triangles.
• Applied geometry projects, such as constructing ramps to model slope and angle relationships.
• Inverse trigonometric functions and their applications.
• Circles, including properties, tangents, and angle relationships.
• Constructing tangent lines using geometric reasoning.
• 2D and 3D shapes, with emphasis on volume, surface area, and visualization.
• Modeling with geometry in authentic real-world contexts.
• An introduction to probability within geometric situations.

Each unit is aligned with the Standards for Mathematical Practice, ensuring balance between conceptual understanding, procedural fluency, and mathematical communication.

Instructional Approach

Students engage with visual models, peer demonstration videos, and hands-on tasks to connect abstract concepts with real-world applications. Mathematical discussions and reflection activities challenge learners to refine strategies, justify reasoning, and critique solutions with precision.

Honors-Level Enrichment

As an honors course, Geometry B moves at a faster pace and requires deeper engagement with proofs, applications, and modeling. Students are challenged to think flexibly, explore multiple solution pathways, and apply geometry in creative, authentic contexts.

Real-World and 21st-Century Connections

Through projects such as ramp construction and modeling tasks, students see how geometry informs fields like engineering, architecture, design, and technology. The course also develops 21st-century skills including collaboration, analytical reasoning, and adaptability.

Outcome

By the end of Honors Geometry B, students will have developed advanced skills in trigonometry, circle geometry, 3D modeling, and probability. Together with Honors Geometry A, this course prepares students for Honors Algebra 2, Pre-Calculus, and higher-level STEM pathways, while cultivating resilience, problem-solving ability, and a growth mindset.