Based on plane Euclidean geometry, this rigorous full-year course addresses the critical areas of: congruence, proof, and constructions; similarity and trigonometry; circles; three-dimensional figures; and probability of compound events. Transformations and deductive reasoning are common threads throughout the course. Students build on their conceptual understanding of rigid transformations established in middle school as they formally define each and then, use them to prove theorems about lines, angles, and triangle congruency. Rigid transformations are also used to establish relationships between two-dimensional and three- dimensional figures. Students use their knowledge of proportional reasoning and dilations to develop a formal definition for similarity of figures. They apply their understanding of similarity to defining trigonometric ratios and radian measure. Students also make algebraic connections as they use coordinate algebra to verify properties of figures in the coordinate plane and write equations of parabolas and circles. Throughout the course, students investigate properties of figures, make conjectures, and prove theorems. Students demonstrate their reasoning by completing proofs in a variety of formats. The standards of mathematical practice are embedded throughout the course as students apply geometric concepts in modeling situations, make sense of problem situations, solve novel problems, reason abstractly, and think critically.
Internet access, Computer, paper, pencil, household items, and appropriate text.
Pacing of the content is set. The course content and LMS are available with the URL and personal password. Students can access course content 24 hours a day, 7 days a week where the internet is accessible.
Student participation in this course is documented by the following:
- Student active time in course logged by the learning management system.
- Coursework submissions recorded by the learning management system.
- Attendance verified weekly by teacher.
- Participation verified by the virtual education teacher for time spent working offline.
- Academic-based communication between the student and virtual education teacher or learning coach and virtual education teacher.
- Participation time will be recorded by weekly attendance and or cumulative progress.
- Synchronous time with the class, a group or the virtual education teacher recorded by the learning management system or teacher.
- When this course is taken by a student in a school with a district-assigned learning coach, seat time attendance may be used to document participation.
- The virtual education teacher verifies participation in the course 1-3 times a week.
- Estimated time to complete course is 50-100 hours. Teacher verification of participation weekly. Some form of weekly communication between student/parent and teacher via phone, zoom, email or in person.