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K12MATH009: Algebra I

Course Syllabus for "K12MATH009: Algebra I"

Please note: this legacy course does not offer a certificate and may contain broken links and outdated information. Although archived, it is open for learning without registration or enrollment. Please consider contributing updates to this course on GitHub (you can also adopt, adapt, and distribute this course under the terms of the Creative Commons Attribution 3.0 license). To find fully-supported, current courses, visit our Learn site.

Algebra is incorporated into a lot of daily activities even when you don’t realize you are using it. Whether you are planning a vacation, deciding on a job, shopping, building something, planning a party, monitoring your heartbeat, or dieting, algebra can help you get a job done or make successful decisions. This course includes 10 units that will help you in this endeavor. This course is a continuation of the development of concepts and problem-solving methods learned in pre-algebra courses. Topics in this course include expressions, functions, equations and inequalities, exponentials, quadratics, piecewise and absolute value functions, systems, and statistics. The purpose of this course is to build a strong algebra background that is needed to be successful in the upper level mathematics courses, as well as to gain the logic needed to solve real-world applications. In Unit 1, you will build on your skills with activities that will help with the modeling and graphing in all future units. You will also build on your knowledge of expressions, functions, equations, and inequalities. These skills are used to help build an understanding of the solving, graphing, and modeling that will be incorporated into future units. The extension of expressions and functions will help with formulas that are introduced in Unit 2. Equations and inequalities are further emphasized in Units 2 and 3. Unit 2 covers one variable type and Unit 3 covers two variables. Unit 4 takes your linear knowledge to a new level and applies it to fitting statistical data. In Unit 5, you will use your knowledge of graphing, solving, equations, and inequalities and incorporate it into systems. In Units 6 and 7, you will use the concepts you learned in the previous units and apply them to exponentials. In Unit 8, you will extend these concepts to absolute value and piecewise functions, while in Unit 9, you will tackle quadratic functions. Finally, you will end with statistics and different types of displays. Each unit will be a building block for the next unit. Throughout all of these units, real-world situations will be modeled.

Learning Outcomes

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

  • translate math language to an expression.
  • identify a function and use function notation.
  • solve and graph linear equations and justify each step.
  • solve and graph linear inequalities.
  • solve and graph exponential functions.
  • solve and graph systems of equations and inequalities.
  • solve and graph quadratic equations.
  • display data on an appropriate plot.
  • analyze statistical data.
  • model situations using an appropriate equation or inequality.
  • use appropriate units and parameters of the solutions depending upon the context of the problem.

Course Requirements

In order to take this course, you must:

√    have access to a computer.

√    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 completed K12 Math 8 or another Pre-algebra course.

√    have read the Saylor Student Handbook.

Course Information

Welcome to Algebra I. Below you will find general information on this course and its requirements.
 
Course Designer: Michelle Bell
 
Primary Resources: This course is comprised of a range of different free, online materials. However, the course makes primary use of the following materials:

  • Henrico County Public Schools This site has extra 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.  
  • 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. The tasks listed on this site correspond to Pre-algebra problems, Algebra 1 problems, Algebra 2 problems, and Geometry problems.
  • HippoCampus This site has extra 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.
  • 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.
  • NASA This site has articles and math problem sets that use information about different NASA missions. For more practice, choose ‘Algebra 1’ from the menu on the left side of the ‘Exploring Space through Math’ page. 

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, PowerPoint presentations, exercises, tasks, assessments, graphing calculator practices, 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 32.75 hours. 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 to then set goals for yourself. For example, Unit 1 should take approximately 10.5 hours. Perhaps you can sit down with your calendar and decide to complete subunit 1.1 (a total of 50 minutes) on Monday night; subunit 1.2 (a total of 3 hours) on Tuesday and Wednesday night; etc.
 
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 web for additional assistance or visiting some of the above sites for supplemental explanations or practice would be very useful. Some other useful internet sites are www.quizlet.com which is a study site that houses several of the topics within this course and can be used as a study tool, www.purplemath.com, which has explanations and step-by-step guidance and examples, www.brightstorm.com/math which has videos to view for concepts as well as practice problems, and www.mathhelp.com which is a site with videos on topics covered in this course with practice worksheets and solutions.
 

Table of Contents: You can find the course's units at the links below.