1. Florida’s B.E.S.T. Standards (High School Geometry / Precalculus)[br]According to Florida’s B.E.S.T. Standards for Geometry (Grades 9–12), the relevant benchmarks include:[list][*][b]MA.912.GR.7.1[/b] — Identify the conic resulting from the cross-section of cones.[br][/*][*][b]MA.912.GR.7.2[/b] — Derive and create the equation of a circle using key features, including completing the square[br][/*][*][b]MA.912.GR.7.3[/b] — Graph and solve real-world problems with equations of a circle, interpreting center, radius, domain/range.[br][/*][*][b]MA.912.GR.7.4[/b] — Derive and create the equation of a parabola using key features such as vertex, focus, and directrix.[br][/*][*][b]MA.912.GR.7.5[/b] — Graph and solve real-world problems with parabolas; interpret intercepts, focus, directrix, domain/range.[br][/*][*][b]MA.912.GR.7.6[/b] — Derive and create the equation of an ellipse using center, foci, axes.[br][/*][*][b]MA.912.GR.7.7[/b] — Graph and solve problems with ellipses, identifying center, foci, axes, vertices, domain/range.[br][/*][*][b]MA.912.GR.7.8[/b] — Derive the equation of a hyperbola, including key features.[br][/*][*][b]MA.912.GR.7.9[/b] — Graph and solve problems with hyperbolas, interpreting center, foci, asymptotes, vertices, directrices, domain/range.[/*][/list][br]2. NCTM Process Standards (PSSM Framework)[br]NCTM emphasizes five interrelated [b]process standards[/b], which are essential capacities and habits of mind that students should develop through learning mathematics:[list=1][*][b]Problem Solving[/b] – Engaging with non-routine problems, applying a variety of strategies.[br][/*][*][b]Reasoning and Proof[/b] – Making and justifying conjectures, using logical deduction.[br][/*][*][b]Communication[/b] – Expressing mathematical thinking coherently to others.[br][/*][*][b]Connections[/b] – Relating math concepts to each other and to real-world contexts.[/*][*][b]Representation[/b] – Modeling ideas through diagrams, symbols, graphs, technology, etc.[/*][/list]