## Middle School Math 6A

### Enrollment Message:

This is the first 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: **5th Grade Math

**Course Objectives:** Upon completion of this course, students will be able to...

- Multiply and divide positive multi-digit numbers with decimals to the thousandths
- Solve multi-step, real-world problems involving any of the four operations with positive multi-digit decimals or positive fractions, including mixed numbers
- Compute products and quotients of positive fractions by positive fractions, including mixed numbers
- Rewrite positive rational numbers in different but equivalent forms, including fractions, terminating decimals, and percentages
- Define, plot, order, and compare rational numbers
- Represent and compare rational numbers that have opposite direction on a number line and explain the meaning of zero within a real-world context
- Find, interpret, and compare the absolute values of rational numbers as the distance from zero on a number line, given a mathematical or real-world context
- Define, plot, order, and compare rational numbers
- Evaluate positive rational numbers and integers with natural number exponents
- Rewrite the sum of two composite whole numbers having a common factor, as a common factor multiplied by the sum of two whole numbers
- Express composite whole numbers as a product of prime factors with natural number exponents
- Find the greatest common factor and least common multiple of two whole numbers given a mathematical or real-world context
- Add, subtract, multiply, and divide integers
- Translate written descriptions into algebraic expressions and translate algebraic expressions into written descriptions given a mathematical or real-world context
- Evaluate algebraic expressions using substitution and order of operations
- Apply the properties of operations to generate equivalent algebraic expressions with integer coefficients
- Determine which values make the equation or inequality true or false given an equation or inequality and a specified set of integer values
- Write and solve one-step equations in one variable using addition, subtraction, multiplication, and division within a mathematical or real-world context
- Translate a real-world written description into an algebraic inequality and represent the solution on a number line

**Course Outline:**

Module 01: Rational Numbers

Module 02: Integers and Algebraic Expressions

Module 03: Equations and Inequalities

**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