This course will dive into the concepts of transformations, similar and congruent figures, special relationships in geometric figures, Pythagorean Theorem, volume, and patterns in data. We will connect these concepts to real-world applications. Students will practice these mathematical concepts in a variety of forms and applications. Students will employ the standards of mathematical practice as they work through the course material.
Prerequisites: Middle School Math 8A: Pre-Algebra
Course Objectives: Upon completion of this course, students will be able to...
- Experiment with transformations in the plane and understand congruence in terms of rigid motions
- Examine angle relationships created by intersecting lines and parallel lines crossed by a transversal; examine special angle relationships in triangles
- Explain a proof of the Pythagorean Theorem and its converse, apply it to find missing lengths in right triangles, and use it to find the distance between two fixed points to solve real-world mathematical problems
- Identify the formulas for volumes of cones, cylinders, and spheres and apply them to solve real-world problems
- Analyze patterns of association, including scatter plots, line of best fit, interpretation of lines of best fit, and frequency tables
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:
Unit 9: Review of First Semester
Unit 10: Introduction to Transformations
Unit 11: Transformations in the Coordinate Plane
Unit 12: Similarity and Congruence
Unit 13: Relationships in Geometric Figures
Unit 14: Pythagorean Theorem
Unit 15: Volume
Unit 16: Patterns in Data
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 require a scientific calculator. Note: Several online scientific calculators are available for free in lieu of purchasing a physical 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.
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/
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: None