## Course Syllabus for "K12MATH007: Math Grade 7"

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Numbers are everywhere. When we are shopping we are faced with decimals. In our cooking, we work with fractions. When it comes to the stock market, we can see positives and negatives. In this course, we will we focus on these rational numbers and understanding the operations when working with them. This course includes five units with rational numbers used throughout. In Unit 1, we will build on our skills with integers, decimals, and fractions, with a focus on the properties that are at the heart of adding, subtracting, multiplying, and dividing. These skills are used to help build an understanding of proportional relationships through ratios, rates, and scale drawings, and similar figures in Unit 2. Variables will join the rational numbers in Unit 3 so that real-life mathematical problems can be expressed and solved. Mathematical reasoning will continue to grow in this unit as simple equations and inequalities are used to model different real-life scenarios. Two-dimensional and three-dimensional shapes will be used to solve problems involving surface area and volume in Unit 4. Rational numbers will work in conjunction with formulas as we continue to model real-life problems with mathematics. Finally, in Unit 5, rational numbers will be used to analyze populations and make predictions. This course extends many of the units from grade 6 and builds further mathematical reasoning to prepare you for the content of the grade 8 math course.

### Learning Outcomes

Upon successful completion of this course, you will be able to:

• Apply and extend understandings of operations with rational numbers.
• Analyze proportional relationships and use them to solve real-world problems.
• Generate equivalent expressions using mathematical properties.
• Solve real-life problems using numerical and algebraic expressions and equations.
• Draw, construct, and describe geometrical figures and describe relationships between them.
• Solve real-life problems involving angle measures, area, surface area, and volume.
• Use random sampling to drawn inferences about populations.
• Draw informal comparative inferences about two populations.
• Investigate chance processes and develop, use, and evaluate probability models.

### Course Requirements

In order to take this course, you must:

√    Have continuous broadband Internet access.

√    Have the ability/permission to install plug-ins or software (e.g., Adobe Reader or Flash).

√    Have the ability to download and save files and documents to a computer.

√    Have the ability to open Microsoft files and documents (.doc, .ppt, .xls, etc.).

√    Have competency in the English language.

√    Have available a protractor and compass.

√    Have read the Saylor Student Handbook.

√    Have completed K12MATH006: Math (Grade 6).

### Course Information

Welcome to Math 7. Below, please find general information on this course and its requirements.

Course Designer: Deborah Grawn

Primary Resources: This course is comprised of a range of different free, online materials. However, the course makes primary use of the following materials:

• Khan Academy: This site has extra videos and practice on topics that are not listed within the course. If you are struggling with a topic, it would be a good idea to review some of the supplemental material on this site.
• Illustrative Mathematics: This site has tasks (concepts modeled mostly with real-world word problems) on several concepts that apply to seventh-grade math. Be sure to choose the K-8 Standards section and then continue to the seventh-grade area. These are very rigorous activities followed by detailed descriptions of multiple solutions.
• CK-12: This site has explanations on several math topics listed within the course. If you are struggling with a topic, this site will allow you to search for more assistance.
• orgLib: This is another free site with plenty of assessment questions and answers to keep you practicing. Plus, the site is organized by standards to help make it easy to find which areas you need to practice.

Requirements for Completion: In order to complete this course, you will need to work through each unit and all of its assigned materials. These assigned materials include readings, videos, exercises, tasks, assessments, and a final exam.

Note that you will only receive an official grade on your final exam. However, in order to adequately prepare for this exam, you will need to work through the other assignments listed in the above paragraph.

In order to “pass” this course, you will need to earn a 70% or higher on the final exam. Your score on the exam will be tabulated as soon as you complete it. If you do not pass the exam, you may take it again.

Time Commitment: Completing this course should take you a total of approximately 77 hours and 25 minutes*. Each unit includes a “time advisory” that lists the amount of time you are expected to spend on each subunit. It may be useful to take a look at these time advisories and determine how much time you have over the next few weeks to complete each unit and then set goals for yourself. For example, Unit 1 should take approximately 20 hours, with the first assignment listed as taking approximately 40 minutes. Perhaps you can sit down with your calendar and decide to complete one or two assignments in a day.

*
Tips/Suggestions:
It would be helpful to have a notebook or binder for all the materials you will complete in this course. As you read or watch videos and PowerPoint presentations, take careful notes on a separate sheet of paper. Mark down any important equations, formulas, and definitions that stand out to you. It will be useful to use all of this work as a review prior to completing the final exam.

While you are working through the course, focus on understanding what you are doing. The early material creates the tools that you will use in later sections, so make sure you do not skip over it. Solutions are included in most exercises to check your work and to be utilized as a learning tool. When you answer incorrectly or are having trouble with a problem, you can use the provided solutions to work backward to understand the process. When you are struggling with a topic even after exploring all the given resources, searching the Internet for additional assistance or visiting some of the sites listed above for supplemental explanations or practice would be very useful. Some other useful Internet sites are Quizlet, which is a study site that houses several of the topics within this course and can be used as a study tool; Purplemath, which has explanations and step-by-step guidance and examples; Brightstorm, has videos to view for concepts as well as practice problems; and Math Help, which is a site with videos on topics covered in this course, along with practice worksheets and solutions.