1. General Introduction / Course Learning Outcomes
General introduction:
Geometry is a college-level mathematics course that focuses on describing space, explaining geometric relationships, and strengthening students’ reasoning skills. It satisfies the Geometry math sequence requirement, and passing the course is required for graduation. Students learn to understand and justify geometric ideas using precise language, visual models, and logical proof.
Learning outcomes:
By the end of the course, students can:
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Develop strong reasoning skills and clearly explain geometric relationships using mathematical language.
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Use core Geometry terms, concepts, and structures, including deductive reasoning, to justify solutions and conclusions.
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Apply properties of geometric figures and use measurement formulas to solve real-world and multi-step problems.
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Demonstrate understanding of key concepts such as the Pythagorean Theorem, similarity, and fundamental relationships among angles, lines, and planes.
2. Content Overview
The course covers major topics in plane and solid geometry, including:
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Foundations of geometry: properties and relationships of angles, lines, and planes.
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Polygons and circles: classification, properties, and key theorems related to polygons and circles.
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Measurement and applications: using formulas for circumference, area, and volume, and applying them to contextual problems.
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Key theorems and concepts:
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Pythagorean Theorem
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Polygon similarity and proportional reasoning
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Core geometric vocabulary and concepts used for formal reasoning and proof
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3. Learning and Teaching Approach
The course uses the school’s core instructional models to support visual thinking and deep understanding:
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Backwards design: lessons are built from clear outcomes so students always know what they are expected to understand and demonstrate.
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Blended learning: students preview concepts through online instructional videos (e.g., Khan Academy-style resources), then use interactive learning time for practice, discussion, and guided problem-solving.
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Inquiry-based and hands-on learning: students explore relationships through investigations and visual/physical models, strengthening spatial reasoning and conceptual understanding rather than memorizing formulas.
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Personalized instruction: learning pathways adapt to each student’s pace, ensuring mastery of core concepts before moving forward.
Lessons:
