Math 11 (Geometry Standard)
Course Overview
Geometry Standard is a full-year mathematics course that focuses on the study of shapes, spatial relationships, and logical reasoning. Students develop skills in formal proof, geometric construction, and coordinate geometry while applying real-world problem-solving. This course is aligned with Florida B.E.S.T. benchmarks and provides essential foundations for success in Algebra II, standardized testing, and STEM readiness.
Students explore two- and three-dimensional figures, transformations, congruence, similarity, and geometric applications of algebra. Emphasis is placed on mathematical reasoning, precision, and the ability to construct logical arguments using postulates and theorems.
Learning Outcomes by Quarter
- Quarter 1: Explore points, lines, angles, and formal definitions. Develop basic constructions and begin proof writing.
- Quarter 2: Study triangles, congruence, transformations, and relationships within and between geometric figures.
- Quarter 3: Analyze similarity, right triangles, trigonometry, and coordinate proofs using algebra and geometry together.
- Quarter 4: Apply geometry to circles, volume, surface area, and real-world modeling problems.
Instructional Methods
Instruction includes guided discovery, collaborative reasoning tasks, visual demonstrations, compass/straightedge constructions, digital simulations, and real-world problem-solving scenarios. Students build visual literacy and mathematical reasoning with consistent practice, structured feedback, and scaffolded formal proof strategies.
Assessment and Grading
| Category | Weight |
|---|---|
| Tests & Projects | 40% |
| Quizzes | 25% |
| Homework & Practice | 20% |
| Class Engagement | 10% |
| Portfolio & Reflections | 5% |
Anchor Topics Justification
- Congruence & Transformations: Develops logic and visual reasoning foundational to all geometric understanding.
- Triangle Relationships: Applies to trigonometry, physics, engineering, and structural design.
- Coordinate Geometry: Bridges algebra with geometry and builds modeling fluency for SAT and future math courses.
- Circles, Volume & Applications: Integrates geometry into real-world modeling and 3D reasoning.
College Board – SAT Crosswalk
| College Board Domain | Integrated Skills in Geometry Standard |
|---|---|
| Problem Solving and Data Analysis | Interpreting shapes, area/volume, and real-world models |
| Passport to Advanced Math | Application of equations in geometric settings |
| Additional Topics in Math | Lines, angles, circles, and geometric reasoning |
| Fluency & Precision | Constructing and critiquing logical proofs and diagrams |
Unit Overview
| Quarter | Unit Title | Florida B.E.S.T. Benchmarks | College Board Focus Skills |
|---|---|---|---|
| Q1 | Foundations, Angles & Constructions | MA.912.GR.1.1, MA.912.GR.1.3 | Segment/angle relationships, diagram construction |
| Q2 | Congruence, Triangles & Transformations | MA.912.GR.2.1, MA.912.TR.2.1 | Proof writing, rigid motions, triangle congruence |
| Q3 | Similarity, Trigonometry & Coordinate Proof | MA.912.TR.3.1, MA.912.GR.5.1 | Slope, Pythagorean applications, similarity ratios |
| Q4 | Circles, Volume & Modeling | MA.912.GR.6.1, MA.912.GR.4.2 | Arcs, area, surface area, geometric modeling |
Academic Vocabulary Matrix
| Category | Key Terms | Contextual Application |
|---|---|---|
| Foundational Geometry | Ray, Line Segment, Midpoint | Used in constructions and basic relationships |
| Proof & Reasoning | Postulate, Theorem, Contrapositive | Applied in formal logic and triangle congruence |
| Coordinate Geometry | Slope, Distance Formula, Perpendicular | Used in analytical proofs and transformations |
| Circles & Solids | Central Angle, Radius, Cross Section | Used in 2D and 3D modeling tasks |