Geometry, First Half Unit
1/2 Unit Flexible Course
Course Description: This course studies the fundamentals of geometry. Lesson topics include: segments, angles, and polygons; inductive and deductive reasoning; an introduction to reasoning and proofs; parallel lines cut by a transversal; the properties of parallel and perpendicular lines; an introduction to triangles and triangle congruence; using congruent triangles; triangle centers and the relationship between triangles; similar polygons and proving similar triangles; and similarity transformations and proportionality.
Prerequisite: Successful completion of Algebra I.
We are pleased that you selected this self-paced course to fulfill your unique educational needs. You are now a member of the Mizzou Academy's large and diverse student body—a student body that comes from all parts of the United States and many parts of the world.
Although the freedom to choose when and where to study is a privilege, it is also a responsibility that requires motivation and self-discipline. To succeed at self-paced learning, you will need to develop a study plan by setting realistic goals and working toward them.
Geometry is a course that will continue to develop students’ problem solving skills through a variety of new topics. Students will begin by learning the essentials of Geometry, which includes identifying, and working with, points, lines, segments, rays, angles, and planes. Students will then begin working with congruence and similarity, using reasoning and proof to formulate arguments throughout. In addition, students will learn about numerous properties of triangles, including special types of triangles, and various properties of parallel and perpendicular lines.
This Geometry course will force students to continue using a variety of skills they acquired in Algebra 1. Students should be comfortable manipulating and solving equations. Students will need a scientific calculator for this course. If students want to purchase a graphing calculator, I recommend the TI-84 Plus.
At the end of this course, you should be able to accomplish the following:
- Identify points, lines, segments, rays, planes, and angles.
- Use the Segment Addition Postulate.
- Classify angles as acute, right, obtuse, or straight.
- Use the Angle Addition Postulate.
- Recognize, and be able to create, an angle and segment bisection.
- Explain the difference between equality and congruence.
- Use the midpoint and distance formulas.
- Describe angle pair relationships.
- Classify polygons.
- Use inductive reasoning.
- Analyze conditional statements.
- Apply deductive reasoning.
- Use postulates and diagrams.
- Reason using properties from algebra.
- Prove statements about segments and angles.
- Prove angle pair relationships.
- Identify pairs of lines and angles.
- Use parallel lines and transversals.
- Prove lines are parallel.
- Find and use slopes of lines.
- Write and graph equations of lines.
- Prove theorems about perpendicular lines.
- Find the distance between parallel lines.
- Apply triangle sum properties.
- Apply congruence and triangles.
- Prove triangles congruent by Side-Side-Side.
- Prove triangles congruent by side-angle-side and hypotenuse-leg.
- Prove triangles congruent by angle-side-angle and angle-angle-side.
- Use congruent triangles.
- Use isosceles and equilateral triangles.
- Understand and use the Midsegment Theorem.
- Use perpendicular bisectors.
- Use angle bisectors of a triangle.
- Use medians and altitudes.
- Use inequalities in a triangle.
- Understand inequalities in two triangles.
- Use similar polygons.
- Prove triangles similar by Angle-Angle.
- Prove triangles similar by Side-Side-Side and Side-Angle-Side.
- Use proportionality theorems.
- Perform similarity transformations
- Larson, R. (2012). c. Orlando, FL: Houghton Mifflin Harcourt Publishing Company.
Hardcover ISBN: 9780547647142
E-textbook ISBN: 9780547776002
† Materials used in connection with this course may be subject to copyright protection.
Students will need access to a scientific calculator, or a graphing calculator (e.g. TI-83+ or newer is highly recommended).
In addition, you are required to have the following materials:
- ruler or straightedge
- graph paper
You will need to have access to a compass, straightedge, graph paper, and protractor for several of the lessons. In many cases, drawing a picture to illustrate the problem you are working on will help you visualize the solution.
- Calculator—You may want to obtain a scientific calculator to help you with this course. It should include the square root function and trigonometric functions sine, cosine, and tangent. A graphing calculator, such as the TI-84 or Casio fx-9750G+, includes these functions and more.
- 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.
Minimum Technical Requirements:
Refer to the minimum requirements for all Mizzou Academy courses on our website as well as in the "Helpful Resources" section of your course.
How is the course graded?
Your final grade will be based on the number of points you earn on submitted work and exams. The available points are distributed as follows:
How and when will I receive my final grades?
After completing the course, you will receive a grade report that gives your percentage and your letter grade for the course.
Mizzou Academy will not mail your grade report until all outstanding balances have been paid.
What are graded quizzes and assignments?
Most Mizzou Academy courses include graded quizzes, assignments, or a combination of the two, with few exceptions. Quizzes are taken online. After you submit them, you’ll quickly receive a report on how you did. Assignments may require you to submit your completed work in the form of a file (such as a text document, image, audio or video recording, or multimedia presentation) or a hyperlink for grading. See your Helpful Resources section of your course for tutorials.
You may use any assigned readings, your notes, and other course-related materials to complete graded quizzes and assignments. The points you earn on your submitted work count toward your final course grade.
You may submit lessons at your own pace. However, passwords for the final exam will not be sent out before 6 weeks (42 calendar days from) from the date of the 1st lesson submission.
You may use any assigned readings, your notes, and other course-related materials to complete this work. After your work has been graded, you will receive a report that provides individualized feedback and/or 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.
Canvas automatically allows students to resubmit assignments.
However, students should not resubmit assignments without prior instructor approval.
What type of submitted work will I have in this course?
The work you will submit for this course consists of:
- multiple choice graded quizzes (scored instantly)
- written quizzes
QuizzesYou will complete a multiple choice quiz at the end of each lesson. These quizzes are scored instantly.
Written QuizzesLesson 4 and 8 includes a Written Quiz. 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.
Practice ExamsMidterm and Final Exam practices 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.
You are required to take two formal, supervised exams for this course.
|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||450 points||450 points|
|Time Limit||2.5 hours||2.5 hours|
|What to Bring to the Exam Site||
Preparing for Exams
On all exams, you are allowed to take notes using a personal whiteboard (dry erase board) and marker. At the end of the exam, your proctor verifies that it is wiped clean. This works with both face-to-face and online/Examity proctoring.
If you use physical scratch paper, then you or your proctor must shred the scratch paper in a paper shredder before leaving the proctoring session.
Exams are taken online. You can also search and request an exam proctor. It is your responsibility to schedule your exams, so allow enough time (generally 7–10 business days) for our office to receive your request to make any necessary preparations. In your course are "Exam Announcements." These inform you on how to prepare for exams and how to schedule them.
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.
At your teacher's discretion, evidence of cheating may be subject to receiving a zero for the exam (which would in turn not allow you to pass the course.) If you have any questions or concerns on what you are or are not allowed to do during an exam, please contact your teacher or Mizzou Academy.
Allowing someone to copy your answers from your exam is also considered cheating and subjects you to the same consequences.
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.
If, when completing any of your assignments or exams for this course, you copy from someone else’s work (published or unpublished) without proper acknowledgment, you are guilty of plagiarism. Proper acknowledgment means that you must use quotation marks around any material you have taken word-for-word from another source and state what that source is. If you have reworded someone else’s ideas, you must cite the source of those ideas. If you copy from someone else’s work (published or unpublished, in print or online) without proper acknowledgement, you are committing plagiarism.
At your teacher's discretion, evidence of plagiarism 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
Allowing someone to copy from your work is also considered cheating and subjects you to the same consequences.
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.