This is the first segment of a two semester course. Have you ever wondered, “When will I use this in real life?” Grade 7 Mathematics has great news! There are hundreds of ways that math is used in the real world, and this course is designed to help you think critically as you explore a few of those applications. With hands-on activities and interactive lessons, students will have the opportunity to apply what they learn in relevant ways. Key foundational concepts like proportional relationships, probability, and geometry will help prepare students for the next level of learning.
Instructional time for Grade 7 Mathematics will emphasize five areas: (1) recognizing that fractions, decimals, and percentages are different representations of rational numbers and performing all four operations with rational numbers with procedural fluency; (2) creating equivalent expressions and solving equations and inequalities; (3) developing understanding of and applying proportional relationships in two variables; (4) extending analysis of two- and three-dimensional figures to include circles and cylinders; and (5) representing and comparing categorical and numerical data and developing understanding of probability.
Prerequisites: 6th Grade Math
Course Objectives: Upon completion of this course, students will be able to...
- Solve problems by rewriting rational numbers in different but equivalent forms including fractions, mixed numbers, repeating decimals, and percentages
- Apply the Laws of Exponents to evaluate numerical expressions and generate equivalent numerical expressions, limited to whole number exponents and rational number bases, with procedural fluency
- Add, subtract, multiply, and divide rational numbers
- Solve real-world problems involving any of the four operations with rational numbers
- Solve mathematical problems using multi-step order of operations with rational numbers including grouping symbols, whole-number exponents, and absolute value
- Apply properties of operations to add and subtract linear expressions with rational coefficients
- Determine whether two linear expressions are equivalent
- Write and solve one-step inequalities in one variable within a mathematical context and represent solutions algebraically or graphically
- Write and solve two-step equations in one variable, where all terms are rational numbers
- Determine whether two quantities have a proportional relationship by examining a table, graph, or written description
- Translate any representation of a proportional relationship to a written description, table, or equation
- Determine the constant of proportionality given a table, graph, or written description of a proportional relationship
- Graph proportional relationships from a table, equation, or a written description
- Solve problems involving proportional relationships
- Solve problems involving the conversion of units across different measurement systems
- Solve multi-step, real-world percent problems
- Apply ratios to solve real-world problems involving proportions
Course Outline:
Module 01: Numerical Expressions
Module 02: Algebraic Equations and Inequalities
Module 03: Proportional Relationships
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