Course Overview

Geometry B builds on the foundational skills developed in Geometry A, advancing students' understanding of geometric relationships, trigonometry, and mathematical modeling. The course emphasizes reasoning, precision, and connections across mathematics, while highlighting real-world applications of geometry in problem-solving. Students learn to approach mathematics as a discipline of inquiry, applying concepts flexibly and with confidence.

Key Learning Focus

Students will explore:

• Trigonometry and its applications in right and non-right triangles.
• Inverse trigonometric functions and problem-solving techniques.
• Circles, including their properties, tangents, and relationships with lines and angles.
• 2D and 3D shapes, with a focus on volume, surface area, and spatial reasoning.
• Modeling with geometry in real-world contexts.
• An introduction to probability and its applications in geometric situations.

Special project-based units, such as the ADA Ramp Portfolio and Construct a Tangent Line Portfolio, allow students to apply geometric reasoning to authentic design and construction tasks.

Instructional Approach

Instruction integrates visual models, collaborative problem-solving, and peer demonstration videos. Students are encouraged to engage in mathematical discussions, identify patterns, refine strategies, and justify their reasoning. Lessons emphasize the use of multiple approaches and tools, helping students move fluidly between abstract concepts and practical applications.

Unit Structure

The course is organized into ten units:

1. Geometry B Course Overview
2. Trigonometry
3. ADA Ramp Portfolio
4. Inverse Trigonometry
5. Circles
6. Construct a Tangent Line Portfolio
7. 2D and 3D Shapes
8. Modeling with Geometry
9. Probability
10. Geometry B Semester Review and Exam

Real-World and 21st-Century Connections

Geometry B highlights applications in engineering, architecture, design, and data analysis. By embedding 21st-century skills, the course develops students' ability to think critically, solve problems creatively, and apply mathematics across academic and professional contexts.

Outcome

By the end of Geometry B, students will have developed advanced skills in trigonometry, circle geometry, and spatial reasoning. Together with Geometry A, this course prepares learners for higher-level mathematics, including Algebra 2 and Pre-Calculus, while fostering a growth mindset and the problem-solving skills needed for future success.