By the end of the lesson the student will gain the following skills:[br]Use the following tools in GeoGebra:[br]- Lines and perpendicular bisectors[br]- Conditional statements[br]- Input bar[br]- Sliders[br]- Textboxes[br]Using the tools above, construct the following:[br]- Parabolas[br]- Hyperbolas[br]- Witch of Agnesi[br]- Folium of Descartes[br]- Cissoid of Diocles[br]Conic Sections & Relationships[br]- Modeling and interpreting hyperbolas[br]- Understanding asymptotes and branches of conics[br]- Comparing quadratic graphs with their inverses[br]Cubic and Higher-Degree Curves[br]- Applying algebraic equations to generate geometric loci[br]- Exploring intersections, asymptotic behavior, and tangents[br]Analytical Thinking & Discovery[br]- Translating equations into dynamic visual models[br]- Identifying patterns and special properties of classical curves[br]- Enhancing conceptual understanding of function families beyond quadratics