This is the second segment of a two semester course. How do mathematicians think, write, and speak? Find out in Grade 6 Mathematics, where students will experience new ways of solving problems through interactive and engaging activities. With a focus on hands-on learning and real-world application, students will be exposed to foundational concepts needed for higher-level math study, including integer operations, equations, and statistics.
Instructional time for Grade 6 Mathematics will emphasize five areas: (1) performing all four operations with integers, positive decimals, and positive fractions with procedural fluency; (2) exploring and applying concepts of ratios, rates, and percentages to solve problems; (3) creating, interpreting, and using expressions and equations; (4) extending geometric reasoning to plotting points on the coordinate plane, area, and volume of geometric figures; and (5) extending understanding of statistical thinking.
Prerequisites: Middle School Mathematics 6A
Course Objectives: Upon completion of this course, students will be able to...
- Write and interpret ratios to show the relative sizes of two quantities given a real-world context
- Solve mathematical and real-world problems involving ratios, rates, and unit rates, including comparisons, mixtures, ratios of lengths and conversions within the same measurement system
- Determine a rate for a ratio of quantities with different units, and calculate and interpret the corresponding unit rate given a real-world context
- Generate or complete a two- or three-column table to display equivalent part-to-part ratios and part-to-part-to-whole ratios
- Apply ratio relationships to solve mathematical and real-world problems involving percentages using the relationship between two quantities
- Recognize and formulate a statistical question that would generate numerical data
- Find and interpret mean, median, mode, and range given a numerical data set within a real-world context
- Determine the minimum, the lower quartile, the median, the upper quartile, and the maximum given a box plot within a real-world context and use a summary of the data to describe the spread and distribution of the data
- Create box plots and histograms to represent sets of numerical data within real-world contexts
- Describe and interpret the spread and distribution of the data, including any symmetry, skewness, gaps, clusters, outliers, and the range given a histogram or line plot within a real-world context
- Determine and describe how changes in data values impact measures of center and variation given a real-world scenario
- Plot rational number ordered pairs in all four quadrants and on both axes and identify the x- or y-axis as the line of reflection when two ordered pairs have an opposite x- or y-coordinate
- Find distances between ordered pairs, limited to the same x-coordinate or the same y-coordinate, represented on the coordinate plane
- Solve mathematical and real-world problems by plotting points on a coordinate plane, including finding the perimeter or area of a rectangle
- Derive a formula for the area of a right triangle using a rectangle and apply the formula to find the area of a triangle
- Solve mathematical and real-world problems involving the area of quadrilaterals and composite figures by decomposing them into triangles or rectangles
Course Outline:
Module 05: Ratios and Rates
Module 06: Statistics
Module 07: Geometry
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: None
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/
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: 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