Geometry is everywhere, not just in pyramids. Engineers use geometry to build
highways and bridges. Artists use geometry to create perspective in their paintings, and mapmakers help travelers find things using the points located on a geometric grid. Throughout this course, students travel a mathematical highway illuminated by spatial relationships, reasoning, connections, and problem solving.
Prerequisites: Geometry A
Course Objectives: Upon completion of this course, students will be able to...
- Use the distance formula and slope formula to categorize quadrilaterals and triangles
- Use slope to prove lines are parallel or perpendicular and write an equation of a line that is parallel or perpendicular to a given point
- Use coordinates to find perimeter and area of polygons
- Explain how right triangles lead to the definitions of trigonometric ratios
- Identify trigonometric ratios and their inverses and use these ratios to solve for missing sides or angles of right triangles
- Explain how the formulas for the circumference of a circle, area of a circle, volume of a cylinder, volume of a pyramid, and volume of a cone are derived
- Explain what a 2-dimensional cross section of a 3-dimensional object looks like
- Explain the relationship among radii, chords, tangents, and inscribed/circumscribed angles
- Prove properties of angles for a quadrilateral inscribed in a circle
- Identify the center and radius of a circle, as well as other properties of a circle
Course Outline:
Module 6
Module 7
Module 8
Module 9
Resources Included: Online lesson instruction and activities, opportunities to engage with a certified, online instructor and classmates, when appropriate, and online assessments to measure student performance of course objectives and readiness for subsequent academic pursuits.
Additional Costs: Graphing calculator or online graphing calculator
Scoring System: Michigan Virtual does not assign letter grades, grant credit for courses, nor issue diplomas. A final score out of total points earned will be submitted to your school mentor for conversion to their own letter grading system. Total course points may vary per student based on the items students test out of. The total points in the course may vary per student based upon the number of lessons which each individual demonstrates mastery through scores earned on lesson pre-tests. Students will be exempted from the points possible on a lesson quiz associated with successfully passing a related lesson pre-test.
Time Commitment: Semester sessions are 18-weeks long: Students must be able to spend 1 or more hours per day in the course to be successful. Summer sessions are 10 weeks long: Students must be able to spend a minimum of 2 or more hours per day, or about 90 hours during the summer, for the student to be successful in any course. Trimester sessions are 12-weeks long: Students must be able to spend 1.5 or more hours per day in the course to be successful.
Technology Requirements: Students will require a computer device with headphones, a microphone, webcam, up-to-date Chrome Web Browser, and access to YouTube.
Please review the Michigan Virtual Technology Requirements: https://michiganvirtual.org/about/support/knowledge-base/technical-requirements/
Lightweight devices such as Apple iPads, Google Chromebooks, and tablets have limited support for Java or Flash which still appear in a small percentage of our catalog. While FLVS does not offer technical support for these devices, FLVS is working to remove Flash from their remaining course content. Students will need extra work-around steps or alternate browsers to engage with some portions of those courses. FLVS recommends students have a Windows or Mac based computer available to complete coursework in the event that your selected mobile device does not meet the needs of the course. Fully supported Operating Systems for FLVS courses include Windows (10 or higher) and MacOS (11 or higher). Supported Browsers include the most recent versions of Microsoft Edge, Mozilla Firefox, Google Chrome, and Apple Safari on devices that support Java and HTML5. Browsers need to be up to date, and some FLVS courses may require installation or enabling of the following Plug-ins: JavaScript enabled, Cookies enabled, Java installed. https://www.flvs.net/student-parent-resources/more/system-requirements
Instructor Support System: For technical issues within your course, contact the Customer Care Center by email at [email protected] or by phone at (888) 889-2840.
Instructor Contact Expectations: Students can use email or the private message system within the Student Learning Portal to access highly qualified teachers when they need instructor assistance. Students will also receive feedback on their work inside the learning management system. The Instructor Info area of their course may describe additional communication options.
Academic Support Available: In addition to access to a highly qualified, Michigan certified teacher, students have access to academic videos and outside resources verified by Michigan Virtual. For technical issues within the course, students can contact the Michigan Virtual Customer Care by email at [email protected] or by phone at (888) 889-2840.
Required Assessment: Online assessments consist of formative and summative assessments represented by computer-graded multiple choice, instructor-graded writing assignments including hands-on projects, model building and other forms of authentic assessments.
Technical Skills Needed: No special skills are required beyond being able to operate a computer and use word processing software.
Additional Information: This course permits students to test out of content and therefore are not NCAA eligible. If you are enrolling a student athlete for Credit Recovery purposes, we recommend our full-length Plus courses.