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.  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. 

Lead Teacher Introduction

  Brennan Ransdell

  Teacher

  RansdellB@.missouri.edu

  Mathematics Division Chair

Prerequisites

Successful completion of Algebra I.

 Course Description

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.

 Course Objectives

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

 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. Erie, PA: Big Ideas Learning, LLC, 2022. [ISBN: 978-1-64727-418-4]

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.

 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. 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. 

WRITTEN Assignments

Lessons 4 and 8 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 assessments. 

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. 

Practice Exams

Midterm 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, though you must pass the practice exam (with 60% or greater) in order to move on to the exam.

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.

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. 

 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.