Math 11 (Geometry Honors)
Course Overview
Geometry Honors is an accelerated mathematics course that integrates logic, spatial reasoning, algebraic application, and proof development. Designed for high-performing students, the course deepens understanding of geometric relationships, formal argumentation, and real-world modeling. It prepares students for future STEM coursework and AP-level mathematics, while aligning with Florida B.E.S.T. benchmarks and SAT readiness skills.
Honors students investigate two- and three-dimensional geometry with emphasis on congruence, similarity, transformations, coordinate proofs, and trigonometry. Greater complexity is introduced through layered constructions, deductive reasoning, and multi-step proofs. Technology, collaboration, and mathematical modeling are embedded throughout.
Learning Outcomes by Quarter
- Quarter 1: Analyze geometric foundations, complete compass/straightedge constructions, and prove angle/segment relationships.
- Quarter 2: Develop triangle congruence proofs, perform advanced transformations, and explore properties of polygons.
- Quarter 3: Apply similarity, trigonometry, and coordinate geometry to construct and verify geometric arguments.
- Quarter 4: Solve problems involving circles, volume, surface area, and geometric modeling with justification.
Instructional Methods
Instruction includes Socratic questioning, geometric construction labs, proof workshops, digital modeling, and case-based applications. Honors students engage in collaborative reasoning, critique of student work, and integration of algebra with geometry. SAT/PSAT-aligned problem solving and real-world modeling scenarios strengthen abstraction and relevance.
Assessment and Grading
| Category | Weight |
|---|---|
| Unit Exams & Projects | 40% |
| Quizzes & Proof Checks | 25% |
| Homework & Reasoning Practice | 15% |
| Participation & Collaboration | 10% |
| Enrichment Tasks | 10% |
Anchor Topics Justification
- Triangle Congruence & Proof: Develops foundational reasoning and introduces formal mathematical argumentation.
- Similarity & Trigonometry: Essential for physics, engineering, and advanced mathematics applications.
- Coordinate & Transformational Geometry: Links algebraic methods to geometric representations, preparing for AP and SAT tasks.
- Geometric Modeling: Connects abstract reasoning to real-world contexts and career-ready problem solving.
College Board – SAT Crosswalk
| College Board Domain | Integrated Skills in Geometry Honors |
|---|---|
| Problem Solving and Data Analysis | Area/volume reasoning, interpreting diagrams, modeling with geometry |
| Passport to Advanced Math | Algebra-geometry integration through coordinate proof and equations |
| Additional Topics in Math | Lines, circles, angles, and reasoning through transformations |
| Precision & Justification | Constructing and critiquing formal proofs with logic and clarity |
Unit Overview
| Quarter | Unit Title | Florida B.E.S.T. Benchmarks | College Board Focus Skills |
|---|---|---|---|
| Q1 | Foundations, Logic & Constructions | MA.912.GR.1.1, MA.912.GR.1.3 | Angle/segment proof, definitions, logical structure |
| Q2 | Congruence, Transformations & Proof | MA.912.GR.2.1, MA.912.TR.2.1 | Triangle congruence, rigid motion proofs |
| Q3 | Similarity, Trigonometry & Coordinates | MA.912.TR.3.1, MA.912.GR.5.1 | Coordinate proof, triangle ratios, special right triangles |
| Q4 | Circles, Solids & Modeling | MA.912.GR.6.1, MA.912.GR.4.2 | Arcs, 3D figures, modeling constraints |
Academic Vocabulary Matrix
| Category | Key Terms | Contextual Application |
|---|---|---|
| Logic & Proof | Conditional, Biconditional, Converse | Used in formal argumentation and deductive structure |
| Congruence & Similarity | CPCTC, Transformation, Dilation | Applied in triangle/polygon congruence and scaling |
| Coordinate Geometry | Distance, Midpoint, Slope Criteria | Used in algebraic proofs and triangle classification |
| Trigonometry & Modeling | Sine, Cosine, Tangent | Used in real-world measurement and modeling |