Welcome to Algebra II, Second Half Unit.
We are pleased that you selected Mizzou Academy's course to fulfill your unique educational needs. You are now a member of our large and diverse student body—a student body that comes from the United States and the world. To succeed at independent study, you will need to develop a study plan by setting realistic goals and working toward them. This page offers you an overview of the course and will help you achieve your goals. It contains an introduction to the course, as well as information about lessons, grades, and technical specifications.
The principal goal of this course is to lay a foundation for college algebra, continuing an extension of Algebra I studied in Algebra II, First Half Unit.
This course will introduce you to the several processes available to solve many types of equations. These equations involve polynomial equations, quadratic systems, exponential equations, and logarithmic equations. You will also be introduced to interesting graphs of parabolas, circles, ellipses, and hyperbolas. The course ends with statistics and probability. Course Overview
Prerequisites: Successful completion of Algebra I. Successful completion of Algebra II, First Half Unit. Successful completion of Geometry is highly recommended.
After each lesson you should be able to:
- Solve quadratic equations by completing the square.
- Solve quadratic equations by using the quadratic formula.
- Determine the nature of the roots of a quadratic equation by using its discriminant.
- Solve equations in quadratic form.
- Graph parabolas whose equations have the form .
- Find the vertices and axes of symmetry of a parabola.
- Draw the graph of a function and find its minimum and maximum value.
- Write a quadratic function using information about the roots or its graph.
- Solve problems involving direct variation.
- Solve problems involving inverse and joint variation.
- Divide one polynomial by another.
- Use synthetic division to divide a polynomial by a first-degree binomial.
- Find factors of polynomials and solve polynomial equations.
- Solve a polynomial equation given some roots.
- Find a polynomial equation given some roots.
- Determine the possibilities for the nature of the roots of an equation using Descartes' rule of signs.
- Find rational roots of polynomial equations with integral coefficients.
- Approximate the real roots of a polynomial equation.
- Use linear interpolation to find values not listed in a table of data.
- Find the distance between any two points.
- Find the midpoint of a line segment joining two points.
- Use the equation of a circle.
- Use the equation of a parabola.
- Use the equation of an ellipse.
- Use the equation of a hyperbola.
- Identify a conic section whose center is not the origin.
- Find the equation of a conic section given information about the figure.
- Use graphs to determine the number of real solutions of a quadratic system.
- Use algebraic methods to find exact solutions of quadratic systems.
- Solve a system of linear equations in three variables.
- Simplify expressions involving rational exponents.
- Solve equations involving rational and irrational exponents.
- Simplify expressions involving irrational exponents.
- Find the composite of two given functions.
- Find the inverse of a given function.
- Simplify logarithmic expressions.
- Solve simple logarithmic equations.
- Apply the basic properties of logarithms.
- Use logarithms to solve equations involving powers.
- Evaluate logarithms with any base.
- Solve compound interest, growth, and decay problems using exponential and logarithmic functions.
- Use the natural logarithm function.
- Display data using different types of graphs.
- Find measures of central tendency.
- Find measures of dispersion.
- Work with normal distributions of data.
- Determine the correlation coefficient and equation for the line of regression of a set of data.
- Apply the fundamental counting principles.
- Find the number permutations of the elements of a set.
- Find the number combinations of the elements of a set.
- Give the sample space for random experiments.
- Find the probability that an event will occur.
- Work with the intersection and union of sets.
- Identify mutually exclusive and independent events.
- Find the probability of mutually exclusive and independent events.
This course can be completed in as few as six weeks or take up to 6 months (180 calendar days). The six weeks are counted from the date of the first lesson submission and not the date of enrollment.
Required Textbook: Algebra and Trigonometry: Structure and Method, Book 2. Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, and Robert B. Kane. Evanston, IL: McDougal Littell Inc., 2000.
- Suggested: Student Solutions Manual for Algebra and Trigonometry: Structure and Method, Book 2.
- A basic calculator with a square root function is required for this course. A graphing calculator can be quite helpful in constructing graphs and tables, but it is not required.
- Students will need Microsoft Word to render MathType
The most up-to-date requirements can be found here:
- Computer Requirements
- Browser Requirements
- Proctoring Requirements
- Microphone (external or internal)
Additional requirements for the course are below:
- audio and video recording capabilities (e.g. smartphone, camera)
Quizzes & Assignments
You should submit all assigned work in sequence (Lesson 1, then Lesson 2, etc.) Assignments for the course are listed in the lesson modules.
You must take two formal, supervised examinations for this course: a midterm that follows Lesson 5 and a final that follows Lesson 10. Each exam is worth 175 points. Both exams consist of 35 multiple-choice questions worth 5 points each. You will not be allowed to use your textbook, notes, study guide, or any other reference materials during the exams. If you use a programmable (scientific or graphing) calculator, note that the memory must be cleared before you begin the exam.
Your midterm and final exams are online. It is your responsibility to schedule your exams. See the proctored exams tab on the Helpful Resources page for more information about scheduling and preparing for exams.
Allow enough time (2 weeks) for our office to receive your request and communicate with your chosen exam site and proctor. Mizzou Academy has approved exam sites throughout the United States and around the world.
See "About Exams" in the policies section for additional information on exams at Mizzou Academy. Also, view the Exam Proctoring page on Mizzou Academy's website for all things proctoring related.
|Lessons 1 - 5
|Lessons 6 - 10
|When to request an exam
|At least 2 weeks in advance
|At least 2 weeks in advance
|Questions and type
|35 multiple-choice questions, 5 points each
|35 multiple-choice questions, 5 points each
|See the "About Exams at Mizzou Academy" section below for information about scheduling a proctor
|See the "About Exams at Mizzou Academy" section below for information about scheduling a proctor
Your final grade will be based on the number of points you earn on quizzes and exams.
You will be able to see your exam percentage in the "Exams" column in your grade book.
The following grading scale applies only to students who meet this standard:
After completing the course, unofficial transcripts will be available in the Tiger Portal. See this page for information on requesting official transcripts.
Getting Started Resources (Canvas and Other Resources)
View the content below to learn more about each of these elements and how they work in your Mizzou Academy Canvas course.
For more on navigating the Canvas interface, visit the Canvas Student Guide.
Here are some quick links to get you started:
If you are on a mobile device, download the Canvas mobile apps. With the apps, you can access all your courses using the Canvas mobile app, "Canvas By Instructure." Go to Google Play to download the Android version and iTunes to download the iOS version.
Browser and Computer Requirements
Library, Writing, and Research Resources
Below are several useful library links. Select the options below to go directly to the websites.
Citing Sources Interactive Module
The Citing Sources Interactive Tutorial to help you with learning how to cite your sources as well as inform you about what plagiarism is, what it isn't, and how to avoid it.
See the OWL Resource Website for additional help in citing sources and avoiding plagiarism.
Netiquette—short for "network etiquette" or "Internet etiquette"—is a set of guidelines for how to communicate appropriately on the web. As a Mizzou Academy student, you will be expected to follow these guidelines in your interactions with your instructor and fellow students.
- Be respectful. Online, as in life, the Golden Rule applies: Treat others as you would like to be treated. There are effective ways to disagree with someone without being insulting. Keep in mind that sarcasm can sometimes be misinterpreted.
- Use appropriate language. Avoid foul language and rude or vulgar comments.
- Use proper grammar and spelling. Typos and spelling mistakes are bound to happen, but excessive errors are distracting. Use a browser with a built-in spell checker if you need help!
- Respect others' privacy. Do not quote or forward personal messages or information without the original author's permission.
- Avoid plagiarism. It is never acceptable to copy and paste the work of others and call it your own. Be sure to cite your sources correctly.
For more about appropriate online behavior, view Show Me Respect: Tips for Thwarting Cyberbullying, Cyber-Harassment, and Cyberstalking from the University of Missouri's Equity Office.
In this video, you will learn more about assignments: what they are and how to submit them through Canvas.
For more on uploading and viewing assignments, visit Assignments in the Canvas Student Guide.
How to Submit Assignments as a File Upload
How to Convert Word files to Google Docs
Some assignments will provide templates for you to complete, and the templates may be available as a Word file (.docx, .doc). Even though these .docx or .doc files are native to Word, it is possible to open them without owning the program. You can still work with Microsoft Office files even if you don't have Office installed by using Google Docs.
Open with Google Docs
- Navigate to in your Web browser. Log in with your Google account. If you do not have a Gmail address or some other type of Google account, select the Create account link. Once you create your account, log in.
- Select +New > File Upload
- Navigate to the location of the Word document on your computer and select the file. Alternatively, you can drag and drop a file from your computer directly into the web browser for an easy upload.
- Once the file uploads, you will be able to access it in Google docs.
- Select File > Save As Google Docs
- Google then converts the Word file into a Google doc and you can begin editing.
How to Convert Google Docs to Word or PDF
After you've finished editing your file, download and export your document back into a Microsoft Word or PDF Document format by selecting File > Download > select the Microsoft Word I.docx) or PDF Document (.pdf) option.
How to Print Files to PDF using Acrobat
View Print to PDF for instructions on how to print a file to PDF using Adobe Acrobat.
Submitting Assignments that use Turnitin
Turnitin is a plagiarism detection service that is integrated with Canvas. It allows instructors and students to view an Originality Report of written work or other homework assignments. The system is designed to facilitate feedback between instructors and students on written work.
The University of Missouri has a license agreement with Turnitin.com, a service that helps detect plagiarism by comparing student papers with Turnitin's database and Internet sources. Students who take this course agree that all required papers may be submitted to Turnitin.com.
Students who submit papers to Turnitin retain the copyright to the work they created. A copy of submitted papers is retained in a Turnitin database archive to be compared with future submissions—a practice that helps protect and strengthen copyright ownership. Use of the Turnitin service is subject to the Terms and Conditions of Use posted on Turnitin's website at https://help.turnitin.com/Privacy_and_Security/Privacy_and_Security.htm.
Mizzou Academy uses Turnitin, which provides tools for assignments. One of these tools is the "originality check." Note that it is not called a "plagiarism detector." That is because ONLY an instructor can determine plagiarism.
For example, it could be that you get a 100% match (in red) on your submission. However, perhaps you are working in a group or your instructor had you submit something multiple times to different assignments within the same course. Or perhaps your class is filling out a worksheet, so all of the worksheet components would be "not original" but your content would be.
If you are concerned about any results that you are confused about, feel free to discuss this with your teacher.
Turnitin Guide - Accepted File Types and Size
Turnitin has restrictions on file types and size. The Turnitin Guide will outline things to consider before submitting a file, such as its size, word count, and format.
How to Submit a Turnitin Assignment in Canvas
There is no difference in how to submit an assignment with or without Turnitin enabled. View How do I upload a file as an assignment submission in Canvas for instructions on how to upload a file in Canvas.
How to Record and Submit Audio and Video
Recording and Submitting
There are many ways you can submit audio and video recordings for a Mizzou Academy course in Canvas. Your course content may refer to Audacity. (Links to an external site.)However, you don't need to use Audacity to make an mp3 recording for your course. After all, there are many programs and apps on computers and mobile devices that will do just that!
View How do I submit a media file as an assignment submission for more information on how to submit media files.
Note: You can also submit assignments using files stored on third-party apps (e.g. Dropbox) on your mobile apps.
View the following Canvas Guides for additional information on how to record and submit audio and video files
- Android - record and submit audio, video or other attachments
- iOS: record and submit audio, video, or other attachments
- Desktop: record and submit audio or video file (Advanced editing can be done with Audacity.)
- Submit a file upload
- Submit via Website URL with YouTube, Vimeo, Google Drive, or other available Link
We do NOT allow you to submit .wav files.
How to Shoot Quality Audio and Video
The only way for you to present quality speeches (and other multimedia) to your Mizzou teacher is by uploading a video of yourself. Therefore, it's incredibly important that the audio and video quality is good enough that your instructor can see and hear everything clearly. You might all be in different environments using various types of cameras, so rather than attempting to teach you about specific cameras, we're going to concentrate on things like lighting, background, setup and stabilization, and audio.
Lighting and Background
Setup and Stabilization
Setting Up Your YouTube (Or Other Video) Account
Uploading a Video
- Select Upload in the upper right-hand corner of the screen
- Either drag & drop the video file into the box or select the gray arrow to select it from your files. You will notice that the privacy box will already be set to unlisted based on your privacy settings
- This will automatically begin the upload once the file is selected, taking you to a new window:
- Make sure the title box is correctly filled out
- Descriptions and tags are usually left blank unless the video is public
- Thumbnails This is what viewers will see when they first pull up your video. You can choose from a few automatic image selections, or you can upload your image
- Once the video finishes uploading, processing, and you selected the titles/thumbnails, select "Done
- The link to share your video will appear. Copy and paste this link to turn in your video.
Getting Your Videos Into the Course: Uploading
If you are comfortable with recording video, transferring the file to your computer, and then uploading, this is the preferred method because some assignments (such as video journals) will have you recording multiple videos for one assignment. One problem you may run into is a camera that creates an incredibly large file. In such cases, you may need to convert the file to make it smaller.
Some cameras record videos that create very large file sizes. Depending on your internet connection, these larger files might have problems uploading. In these cases, you might need to convert the video to a smaller version. Look for a free video converter like Any Video Converter or Format Factory to help you.
Getting Your Videos Into the Course: Direct Recording
Canvas does allow you to record via webcam directly into Canvas. However, this will not be available when multiple videos are required. Another reason to shy away from this method is that if you have a hiccup in your internet connection or your computer freezes, your video will be lost, and you will have to rerecord everything. Just to save the hassle, it's better to either upload a file or provide a link to an unpublished YouTube video.
How to Scan and Upload Your Work
Some assignments may require you to scan your work and upload it to Canvas. Select on How to Scan and Upload Your Work to download a PDF file of this tutorial.
How to Configure Mac OS to Open .RTF Files in Word
Images may not appear if you open an .RTF file on a Mac using Pages or other text-editing software. View the macOS User Guide for instructions on how to change the app used to open a file.
Quizzes and Exams
In this video, we'll show you how to take a quiz/exam in Canvas.
For more on taking quizzes and exams, visit Quizzes in the Canvas Student Guide.
NOTE: Read your Syllabus and the Quiz and Exam instructions for your course so that you are aware of the policies and how a quiz and exam is setup. The Quizzes link may not be in the course navigation menu in your course and only accessible by accessing Modules and selecting the pertinent lesson.
Suggestions for Taking Objective Examinations
What is an "objective examination?" Objective means that there IS a right answer (or answers), and you either get things right or wrong. An example is a multiple-choice quiz or exam. This section is here to provide you with tips on how to take objective examinations, or "exams."
Many people worry about how to do well when taking objective examinations. What does What follows are some simple suggestions that should help you to do your best.
What do you do when you know the answer? Silly question, right? You mark it!
What do you do when you don’t know the answer? This is what you want to hear!
- First, you need to remember that our quizzes and exams are based on the number of right answers out of the total possible. So you should answer every question, even if it’s a guess. There are four answer choices, so your odds when you guess are 1 in 4. That is, on average, you should get 1 out of every 4 guesses correct.
- How do you narrow the odds, to make them more in your favor? If you are able to eliminate one or more of the answers as definitely wrong, you have done just that. When you are guessing which answer is correct out of 3, then you could get one-third of your guesses correct. When you are guessing between two, you could get half of them right.
- What if you see an answer choice that you absolutely have never seen before? There is a very good chance it is a wrong answer, and you can eliminate it. Remember, you’ve read over and studied the material. Most of the time you will know if something doesn’t belong.
- Does the answer make sense? A correct answer always makes sense. Incorrect choices may, or may not. So if a choice does not make sense in relation to the question, it is probably a wrong answer.
- Do not spend a lot of time on a question that is giving you trouble. Move on, and come back to it later. Many times, you will find something in a later question or answer choice that helps you to select the answer to a question you skipped over. This is known as making the test work FOR YOU.
- Above all, relax! You have been over the material. It is all in your head. Just take a deep breath and go at it. YOU CAN DO IT!
Many students develop their own tricks to help themselves on objective tests. What you see above can assist you. But you may also rely on whatever works for you.
Suggestions for Taking Essay Exams
What!? I’m going to have to write!?
It is not unusual for people to be nervous about taking an essay exam. You will have to decide what the question means, search through the memory banks of your brain, recall information that relates to the question, and then write something that is well organized and clear. What follows are some tips that just might make this process a little less scary.
Let’s start with an essay question.
An essay question may be fairly short, perhaps only one paragraph. They may also be longer, requiring several paragraphs to answer. No matter how short, or long, the essay needs to be, the process is the same. As an example, we’ll use a topic that is “medium.”
The framers of the Constitution of the United States established the Electoral College system, which provides an indirect method of electing the President. This system should be changed to permit the direct election of the President, so the candidate who receives the greatest number of the popular vote to win election. Agree or disagree.
Great! Now what?
This may seem pretty long. But you need to remember that you do not have to deal with everything in the statement. The first thing you need to do is identify what you have to answer, and what you can ignore. The question statement is reproduced below, with the parts you have to consider highlighted.
The framers of the Constitution of the United States established the Electoral College system, which provides an indirect method of electing the President. This system should be changed to permit the direct election of the President, so the candidate who receives the greatest number of the popular vote to win the election. Agree or disagree.
While everything else in the question is relevant to the topic, you are being asked to support the Electoral College system (indirect election) or the popular vote (direct election).
Write down a brief outline of what you need to do. It would be best if you did this in order.
- Introduction: State your position. Do you agree or disagree. Give an explanation of why you have chosen your position.
- Body Paragraph: Explain your first reason for your position. You might also want to state why the method you did NOT choose falls short.
- Body Paragraph: Explain your second reason for your position. Again, you could state why the method you did NOT choose falls short.
- Body Paragraph: Explain your third reason, if you have one, along with why the method you did NOT choose falls short.
- Conclusion: Restate your reasons for your position. This is when you drive your arguments home.
What are we saying here?
There is a very simple way to look at essay writing. No matter if the essay is one paragraph, or five, or ten. You do the same three things.
- Tell the readers what you are going to tell them (introduction).
- Tell them (body).
- Tell the readers what you told them (conclusion).
And in conclusion….
This process can be very helpful. You need to remember: you are probably not going to be expected to respond to every word in the essay topic. That’s why it’s important to identify what you need to consider. While essays from different classes will look different, the approach to them is pretty much the same. You can even practice this skill on your own, creating topics on things with which you are familiar. The more you practice, the easier it becomes.
Mizzou Academy offers the convenience of 100% online proctoring through the Examity platform. This innovative virtual proctoring solution allows you to easily schedule proctoring appointments instead of searching for an in-person proctor for your exam.
Please note that Examity requires a fee for its services. Explore the Online Proctoring with Examity module in the course for additional information.
The calendar video introduces you to the Canvas Calendar and shows you how you can stay organized by scheduling your own events.
Our academic integrity policy at Mizzou Academy is based on our values of ethical behavior, learning, and giving all stakeholders the benefit of the doubt. Collaboration, research, and technical literacy are vital 21st-century skills when combined with academic integrity.
Mizzou Academy's academic integrity policy is aligned with the University of Missouri’s academic integrity policy. The definitions of what constitutes "cheating" and "plagiarism"are posted on the Provost’s Advising Council’s webpage which can be found here: https://advising.missouri.edu/policies/academic-integrity.
Issues Involving Violations of Academic Integrity
If, when completing any of your assignments or exams for this course, you are found to have demonstrated cheating or plagiarism as defined above, this is a violation of academic integrity. At your teacher's discretion, violations of academic integrity may be subject to either or both of the following actions:
- receiving a zero for the assignment or exam
- receiving an F for the course
If you anticipate barriers related to the format or requirements of this course, please let Mizzou Academy know as soon as possible. If disability-related accommodations are necessary (for example, a scribe, reader, extended time on exams, captioning), please contact Mizzou Academy.
About Exams at Mizzou Academy*
*This section describes the policies of exams at Mizzou Academy. This section only applies if you have exams in your course. See the section above to see if you have exams.
Your exams are online. It is your responsibility to schedule your exams.
During exams, unless otherwise noted, you are not allowed to navigate away from the exam or use any other resources. If you deviate from the exam guidelines without proper prior permission, it is considered cheating on an exam.
Mizzou Academy values fair testing and assessment to determine that students master essential course concepts and skills. During a proctored exam, tests are supervised by an impartial individual (a proctor) to help ensure that all exams maintain academic integrity. You will need to use a Mizzou Academy approved proctor. Please see the Exam Proctoring webpage for more information.
- Choose a proctor and make arrangements for taking the exam.
- At least 2 weeks prior to taking your exam, submit your proctor information to Mizzou Academy
- You will be sent an email notice indicating if your chosen proctor has been approved or denied.
- Arrive at your proctor’s testing site at the scheduled time with a photo ID. At testing time, you will log into your Mizzou Academy account and select the exam for your proctor to access and administer.
Global Classroom Courses
If you are taking a global classroom course, work with your local teacher to identify your date of the exam and how you will be proctored. You do not need to request an exam date with the above form.
HOW TO PREPARE FOR EXAMS
- Complete and review all assignments.
- Review the learning objectives; make sure you can accomplish them.
- Be prepared to explain any key terms and concepts.
- Review all the lessons, exercises, and study questions.
- Review any feedback and/or comments on your assignments and previous exams; look up answers to any questions you missed.
Canvas and Technical Support
Canvas is where course content, grades, and communication will reside for this course.
- This course is mobile-friendly. Download the mobile apps on your iOS, Android device.
- Getting Started with Canvas
- View the Getting Started Canvas Guides.
- For Canvas, Passwords, or any other computer-related technical support create a ticket in Canvas or contact Mizzou Academy Support.
- How to Get Help in Canvas
- Mizzou AcademySupport Phone: +1 855 256-4975
- Tiger Portal login - https://education.missouri.edu/mizzou-academy/
- Mizzou Academy Email - MizzouAcademy@missouri.edu