This course addresses Common Core standards and is designed to cover Semester 1 of High School Geometry for students following the Traditional Pathway of Algebra I, Geometry, and Algebra II in that order. The course is generally taken during the second year of high school. Of the six Common Core units for High School Geometry, this course will cover Common Core Unit 1: Congruence, Proof, and Constructions and from Unit 2: Similarity, Proof and Trigonometry will cover Similarity and Proof.
Prerequisites:While this course is traditionally taken after completion of Algebra I, prior mastery of 8th grade pre-Algebra skills and concepts are important to student success in this course
Course Objectives: Application of geometric concepts in modeling situations will be presented throughout the course. By the end of this course, the student will:
- Experiment with transformations in the plane
- Understand congruence in terms of rigid motions
- Prove geometric theorems
- Make geometric constructions
- Understand similarity in terms of similarity transformations
- Prove theorems involving similarity
- Apply geometric concepts in modeling situations
Mathematical Practice Standards are incorporated throughout the course.
- Make sense of problems and persevere in solving them
- Reason abstractly and quantitatively
- Construct viable arguments and critique the reasoning of others
- Model with mathematics
- Use appropriate tools strategically
- Attend to precision
- Look for and make use of structure
- Look for and express regularity in repeated reasoning
Course Outline:
Module 1: Introduction to Geometry and Proofs
Module 2: Transformations
Module 3: Rigid Motions
Module 4: Constructions - Lines and Angles
Module 5: Constructions - Triangles
Module 6: Congruent Triangles
Module 7: Similarity
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: Students should have access to paper, a compass, straight edge, and protractor. Students will also need a Scientific Calculator capable of finding Sin, Cos, Tan, ln|x|, ex, exponents and roots. Free calculators that meet this requirement can be found online. Students may instead use a graphing calculator if they possess one, but a graphing calculator is not required for this course.
Scoring System: Michigan Virtual does not assign letter grades, grant credit for courses, nor issue transcripts or diplomas. A final score reported as a percentage of total points earned will be sent to students upon completion of a course. Your school mentor is also able to access this score within the Student Learning Portal. Schools may use this score for conversion to their own letter grading system.
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, and up-to-date Chrome Web Browser. Students must also have access to YouTube.
Students make use of GeoGebra either within their web browser or via its free app download. No download is required however for use of the GeoGebra website. https://www.geogebra.org/classic
Please review the Michigan Virtual Technology Requirements: https://michiganvirtual.org/about/support/knowledge-base/technical-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: Basic technology skills necessary to locate and share information and files as well as interact with others in a Learning Management System (LMS), include the ability to:
- Download, edit, save, convert, and upload files
- Download and install software
- Use a messaging service similar to email
- Communicate with others in online discussion or message boards, following basic rules of netiquette
- Open attachments shared in messages
- Create, save, and submit files in commonly used word processing program formats and as a PDF
- Edit file share settings in cloud-based applications, such as Google Docs, Sheets, or Slides
- Save a file as a .pdf
- Copy and paste and format text using your mouse, keyboard, or an html editor’s toolbar menu
- Insert images or links into a file or html editor
- Search for information within a document using Ctrl+F or Command+F keyboard shortcuts
- Work in multiple browser windows and tabs simultaneously
- Activate a microphone or webcam on your device, and record and upload or link audio and/or video files
- Use presentation and graphics programs
- Follow an online pacing guide or calendar of due dates
- Use spell-check, citation editors, and tools commonly provided in word processing tool menus
- Create and maintain usernames and passwords
Additional Information: Required materials are listed in the Additional Costs section of the syllabus.