Course Syllabus

 Welcome

We are pleased that you selected this course to fulfill your unique educational needs. You are now a member of the Mizzou  Academy's global student body.  

 Course Overview

This course studies the fundamentals of geometry and builds on the first semester of Geometry.  Lesson topics include:  similarity and similar triangles, transformations, proportionality, right triangles, trigonometric ratios, trigonometric laws, circles, parabolas, circumference, area, solids, surface area, volume, solids of revolution, probability, permutations, combinations, and binomial distributions.

Lead Teacher Introduction

  Brennan Ransdell

  Teacher

  RansdellB@.missouri.edu

  Mathematics Division Chair

Prerequisites

Successful completion of Algebra I and Geometry A.

 Course Description

Geometry is a course that will continue to develop students’ problem solving skills through a variety of new topics.  Students will begin with similarity and similar triangles, and then move on to transformations and solving right triangles. The course then introduces trigonometry, including the Law of Sines and Law of Cosines before transitioning to circles (which are spanned across two lessons for more in depth analysis). Circles serve as a transition to solids, surface area, and volume before concluding the course with two lessons involving probability.

This Geometry course will force students to continue using a variety of skills they acquired in Algebra 1 and build upon what was learned in Geometry A.  Students should be comfortable manipulating and solving equations, lines, proofs, and all objectives from Algebra 1 and Geometry A.  Students will need a scientific calculator for this course.  If students want to purchase a graphing calculator, I recommend the TI-84 Plus.

 Course Objectives

At the end of this course, you should be able to accomplish the following:

• Use similar polygons.
• Prove triangles similar by Angle-Angle.
• Prove triangles similar by Side-Side-Side and Side-Angle-Side.
• Translate figures and use vectors.
• Perform reflections.
• Perform rotations.
• Identify and use congruence transformations.
• Identify and perform dilations.
• Perform and describe similarity transformations.
• Prove figures are similar.
• Understand and use proportionality theorems.
• Apply the Pythagorean Theorem.
• Use the Converse of the Pythagorean Theorem.
• Work with special right triangles.
• Use similar right triangles.
• Apply the tangent ratio.
• Apply the sine and cosine ratios.
• Solve right triangles.
• Apply the Law of Sines and Law of Cosines
• 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.
• Write and graph equations of parabolas, including foci and directrix.
• Find circumference and arc length.
• Find areas of circles and sectors.
• Find areas of regular polygons.
• Use density and area to solve problems.
• Use cross sections of solids.
• Find and use volumes of prisms and cylinders.
• Find and use volumes of pyramids.
• Find and use surface areas and volumes of cones.
• Find and use surface areas and volumes of spheres.
• Solve modeling problems involving surface areas and volumes.
• Sketch and use solids of revolution.
• Find sample spaces and probabilities of events.
• Use two-way tables to represent data and find probabilities.
• Find and use conditional probabilities.
• Understand and find probabilities of dependent and independent events.
• Find probabilities of disjoint and overlapping events.
• Find and use combinations and permutations.
• Understand and use binomial distributions.

 Pacing

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 Materials

TEXTBOOK

Larson, R., Boswell, L. (2022).  Geometry. Big Ideas Learning, LLC.

• Hardcover ISBN: 9781644328651

† Materials used in connection with this course may be subject to copyright protection.

Digital Textbook

The digital version of the textbook is integrated into the course online. Select the Big Ideas Math textbook link from the course navigation menu. You do not have to purchase a hard-copy of the textbook unless you so desire. Please review the Big Math Ideas System Requirements page to confirm that your device, browser, and browser settings meet the textbook system requirements.

Materials

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:

• compass
• ruler or straightedge
• graph paper
• protractor

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.

Optional Materials

• Calculator—It is STRONGLY suggested you 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.

 Technical Requirements

The most up-to-date requirements can be found here: 

•   Computer Requirements
•   Browser Requirements
•   Proctoring Requirements
• Microphone (external or internal)
• Webcam

Additional requirements for the course are below: 

• audio and video recording capabilities (e.g. smartphone, camera)

 Accessibility

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.

 Quizzes & Assignments

The work you will submit for this course consists of:

• multiple choice graded quizzes (scored instantly)
• written quizzes
• exams

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.

Quizzes

You will complete a multiple choice quiz at the end of each lesson other than Lesson 2 and Lesson 7. 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. It is suggested, however, you first attempt all problems under exam-like conditions and make note of those where you must reference any materials or ask for help from your teacher.

WRITTEN Assignments

Lesson 2 and Lesson 7 include each include 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 and follow all directions and scoring guides regarding responses.

Assignments in this course require you to submit your completed work in the form of a file (pdf or Word format).

Practice Exams

Midterm and Final Exam Review Quizzes 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.

 Exams

You are required to take two proctored exams for this course.

 Grades

Your final grade will be based on the number of points you earn on assignments and exams.

Grades

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:

You will be able to see your exam percentage in the "Exams" column in your gradebook.

After completing the course, unofficial transcripts will be available in the Tiger Portal. See this page for information on requesting official transcripts. Note that percentages are truncated down (never rounded up).

 Canvas and Technical Support

Canvas will be used as the primary platform for accessing course materials and assignments for this class.

• Access Canvas through the Tiger Portal   https://mizzouacademy.missouri.edu/
• For assistance with Canvas, passwords, or other technical issues, submit a ticket by selecting Help from the Global Navigation menu on the left in Canvas. Additional information is provided in the following Canvas Guide:   How do I get help with Canvas as a student?
• For questions about enrollment, access to courses, exam proctoring, or billing, contact our Support Services Team at (855) 256-4975 or   mizzouacademy@missouri.edu.