Geometry, Second Half Unit
1/2 Unit Flexible Course
Course Introduction and Description: 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.
Prerequisite: Successful completion of Algebra I and Geometry, First Half Unit.
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.
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.
- 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.
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.
As stated above, you will need the appropriate graphing calculator.
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
You will complete a multiple choice quiz at the end of each lesson. These quizzes are scored instantly.
Written AssignmentsLesson 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.
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||360 points||360 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.
List of Course Assignments:
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.