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This second half unit of Geometry builds off of many concepts from the first half unit. It continues to explore right triangles, but in more depth than the first half unit. Congruence transformations will be introduced, and similarity transformations will be revisited. Students will learn about the properties of circles, and how to write and graph equations of circles. They will also work with perimeter and area of two-dimensional figures, as well as the surface area and volume of solids. In addition, students will be introduced to probability for independent and dependent events.
This course forces students to continue using a variety of skills they acquired in Algebra 1. Students should be comfortable manipulating and solving equations, and they will need a scientific calculator. If students want to purchase a graphing calculator, I recommend the TI-84 Plus. Information will be given throughout the course on how to use the Graphing Calculator to solve a variety of problems.
Successful completion of Algebra I and Geometry, First Half Unit.
At the end of this course, you should be able to accomplish the following:
- Apply the Pythagorean Theorem.
- Use the Converse of the Pythagorean Theorem.
- Use similar right triangles.
- Work with special right triangles.
- Apply the tangent ratio.
- Apply the sine and cosine ratios.
- Solve right triangles.
- Find angle measures in polygons.
- Use properties of parallelograms.
- Show that a quadrilateral is a parallelogram.
- Understand properties of rhombuses, rectangles, and squares.
- Use properties of trapezoids and kites.
- Identify special quadrilaterals.
- Translate figures and use vectors.
- Use properties of matrices.
- Perform reflections.
- Perform rotations.
- Understand compositions of transformations.
- Identify symmetry.
- Identify and perform dilations.
- Use properties of tangents.
- Find arc measures.
- Apply properties of chords.
- Use inscribed angles and polygons.
- Apply other angle relationships in circles.
- Find segment lengths in circles.
- Write and graph equations of circles.
- Find Circumference and Arc Length
- Find Areas of Circles and Sectors
- Find Areas of Regular Polygons
- Use Geometric Probability
- Explore solids.
- Find volumes of prisms and cylinders.
- Find volumes of pyramids and cones.
- Find surface areas and volumes of spheres.
- Explore similar solids.
- Find probabilities and odds.
- Find probabilities using permutations.
- Find probabilities using combinations.
- Find probabilities of disjoint and overlapping events.
- Find probabilities of independent and dependent 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.
- Larson, R. (2012). Holt McDougal Larson Geometry. Orlando, FL: Houghton Mifflin Harcourt Publishing Company.
- ISBN: 978-0-547-64714-2 or 0-547-64714-X
† Materials used in connection with this course may be subject to copyright protection.
Students will need a scientific calculator or a graphing calculator (e.g. TI-83+ or newer is highly recommended). It should include the square root function and trigonometric functions sine, cosine, and tangent. However, a graphing calculator, such as the TI-84 or Casio fx-9750G+, includes these functions and more.
In addition, students are required to have the following materials:
- ruler or straightedge
- graph paper
These tools may help when students draw a picture to illustrate a problem they are working on. Visualizing solutions is often helpful.
- Use of the optional computer tool Geogebra is not presented or assessed in this course. However, this free tool can support deep insight into geometric relationships and also allows construction of sharp presentations of geometry constructions.
- Personal dry erase board and marker are allowed during the exams to work out problems. Board will be wiped clean at the end of the exam.
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 at the bottom of this syllabus.
You will complete a multiple choice quiz at the end of each lesson. These quizzes are scored instantly.
Quizzes are taken online. After you submit them, you’ll quickly receive a report on how you did. Unlike exams, you may use any assigned readings, your notes, and other course-related materials to complete graded quizzes and assignments.
Lesson 5 and 8 includes a Written Assignment. Unlike the multiple choice quizzes, this work will not be scored instantly. You will download a document, complete your work, and submit it to your instructor for grading. You must show all your work when completing these written quizzes
Midterm and Final Exam practice are available within the course. They are designed to help you solidify your knowledge of the material, help you reflect on your understanding, and judge your readiness for the proctored exam. Both practice exams are for your benefit only and will not count towards your grade.
Reading and Using Feedback
After your work has been graded, you will receive a report that provides individualized feedback and comments on your work. Look carefully at what you missed and read any corresponding feedback. Then study the lesson materials to make certain that you can accomplish the associated learning objectives.
Each lesson provides step-by-step instructions on how to submit your work. Be sure to check submitted work carefully for errors (e.g. spelling, grammar, and punctuation) as they may result in points being deducted.
The work you will submit for this course consists of:
- multiple choice graded quizzes (scored instantly)
- written quizzes
You are required to take two proctored exams for this course.
See the "About Exams" in the policies section for additional information on exams at Mizzou Academy.
|Midterm Exam (covers Lessons 1–6)||Final Exam (covers Lessons 7-12)|
|When to Request an Exam||2 weeks before your midterm exam date||2 weeks before your final exam date|
|Questions and Type||
|Points Possible||360 points||360 points|
|Time Limit||2.5 hours||2.5 hours|
|What to Bring to the Exam Site||
You are allowed to use the following during the exam:
You are allowed to use the following during the exam:
Your final grade will be based on the number of points you earn on assignments and exams.
You will be able to see your exam percentage in the "Exams" column in your gradebook.
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:
- Canvas Student for Android
- Canvas Parent App for Android (All Users)
- Canvas Parent for iOS
- Canvas Student for iOS
- Canvas Help Resources (All Users)
- Conversations Overview (All Users)
- Notification Preferences (All Users)
- User Settings & Profile Picture (All Users)
- Assignments Overview
- How do I view Modules as a student?
- Where Are My Personal Files?
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.
View the mobile features by device
Download Canvas by Instructure on iTunes
Browser and Computer Requirements
Library, Writing, and Research Resources
Below are several useful library links. Click the images 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.
View the Citing Sources tutorial
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.
You might choose to download Mizzou Academy's assignment templates (docx):
You may use whichever style unless specifically requested by your instructor.
How to Submit Assignments
How to submit assignments requiring multiple file types - link to Canvas Guides documentation
How to submit assignments requiring multiple file types - link to video
Additional Canvas Guide documentation
The following Canvas Guide explains the different methods of submitting assignments in Canvas. Note that not all assignments will have these options available. Contact your teacher using Canvas Conversations if you have any questions. When you create a message in Canvas Conversations, select "Teachers" in the dropdown list in the "To" field.
How to submit assignments - link to Canvas Guides documentation
View Canvas Overview Videos
In this video, you will learn more about assignments: what they are and how to submit them through Canvas.
Assignment Submissions from Canvas LMS on Vimeo.
For more on uploading and viewing assignments, visit Assignments in the Canvas Student Guide.
~~How to Print Files to PDF
View Print to PDF for instructions on how to print a file to PDF.
If you are submitting a file from your Google Drive account, download the file as a .PDF or .DOC and then submit the .PDF or .DOC version in Canvas. View How to download Google doc file (Links to an external site.) for information on how to download a Google Doc file.
~~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.
How to Submit a Turnitin Assignment in Canvas
There is no difference on how to submit an assignment with or without Turnitin enabled. Review the "Assignments" panel above for more information on how to submit assignments or click the link below:
How to submit assignments - link to Canvas Guides documentation
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 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 Can I Submit My Audio and Video Recordings 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
- Click Upload in the upper right-hand corner of the screen
- Either drag & drop the video file into the box or click on 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, click "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. Click 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. The following image shows you how to configure your Mac so that it will automatically open .RTF files in Microsoft Word.
Quizzes and Exams
In this video, we'll show you how to take a quiz/exam in Canvas.
Quizzes and Exams from Canvas LMS on Vimeo.
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 clicking on Modules and clicking on 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 a preview 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.
Process for Succeeding in a Self-Paced Course
- Read all introductory materials (overview, grades and assessments, etc.).
- Read a section in the textbook, going over all examples, possibly taking notes, and definitely making note of any concepts/applications/processes/examples that you do not understand.
- Read the corresponding section in the online commentary of the course, again, going over all examples, taking notes, and making note of any problems you encounter, as well as completing all practice exercises throughout.
- E-mail/message your instructor with any questions you still have from steps 2 and 3, being as specific as possible.
- Complete the assigned homework exercises for the section.
- E-mail/message your instructor with any questions you have about problems from the assigned homework.
- Repeat the above steps for every section in the lesson and look over your quiz/assignment for the lesson.
- After making note of which questions on the lesson quiz/assignment are giving you trouble, use the resources you have available (textbook and course examples, homework exercises, etc.) to help you complete the remaining questions on the quiz.
- If there are still problems on the quiz/assignment you are having trouble with, once again, e-mail/message your instructor with your specific questions.
- Submit your quiz/assignment only after you are confident in what you have done; if you are not confident, again, ask your instructor and get help!
- Study for the exam mainly by "retaking" or reviewing your quizzes and assignments and the feedback you received, and if provided in the course by taking any exam-prep quizzes or practice exams (multiple times). Try to do study questions under exam-like conditions (timed, no outside resources, etc.). This helps prepare you for the exam where you have no outside resources available.
- If at any point throughout the above steps anything confuses you, e-mail/message your instructor or student services. The instructor and student services are, perhaps, the most under-utilized resource. Unlike in the classroom, the instructor cannot see where you are going wrong or misunderstanding until it is too late (i.e., after you've taken the quiz or exam) unless you come to him/her with your questions.
SmarterProctoring is a 100% online proctoring service. This means that instead of finding someone in-person that can proctor your test, you can instead choose to be proctored by Mizzou Academy staff through the SmarterProctoring Proctoring System.
SmarterProctoring does charge a $25 fee.
Next, you will need to read the detailed directions and requirements before using SmarterProctoring. Chrome is the required browser. SmarterProctoring also requires a free extension to be added to the Chrome browser.
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.
Additional Course Policies and links
**Not applicable to World Language courses.
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
The syllabus page shows a table-oriented view of the course schedule, and the basics of course grading. You can add any other comments, notes, or thoughts you have about the course structure, course policies or anything else.
To add some comments, click the "Edit" link at the top.