Course Description:
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.
Course Prerequisites:
Acceptance into Spur Virtual Academy
Required Materials:
A computer (or similar device) and access to high speed internet.
Course Accessibility:
Spur Virtual Academy uses the Edgenuity program for students in grades 6-12 and VLNPartners for students in grades K-5. Both platforms wantall users to have equal access to the information and functionality of the learning materials and are committed to making their educational resources and websites accessible to individuals with disabilities and to meet appropriate standards includingWeb Content Accessibility Guidelines (WCAG) 2.0at Conformance Level AA.
Course Participation: 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.
- Percentage of coursework completed. Completion of weekly steps.
No
- Synchronous time with the class, a group or the virtual education teacher recorded by the learning management system or teacher.
- The virtual education teacher verifies participation in the course 1-3 times a week.
- Teachers will verify one or more of the following as course participation: 60 or more active minutes for the course recorded in the LMS,weekly coursework submitted for the course in the LMS, recommended weekly steps completed for the course in the LMS, 3% progress completed for the course recorded in the LMS, attendance at a synchronous session for the course recorded by the teacher of record.
