Course Syllabus

Syllabus Geometry B

Welcome

Welcome to Geometry B! We’re so glad you’re here.

Every lesson is designed to help you grow as a thinker, problem solver, and global learner. As a Mizzou Academy global student, you will complete lessons and assignments on your own schedule, interacting with course content, participating in interactives, and completing practice activities, as well as drafting and revising assignments, preparing for quizzes and assessments, and taking exams.

To stay on track, we recommend using a pacing guide. You can find more information about pacing in the Course Resources section, along with helpful tools, technology support, and tips for online learning success.

As you begin, remember that online learning requires both independence and communication. Be curious, stay organized, and don’t hesitate to reach out to your teacher if you need support.

We’re excited to learn with you, and we’re happy you’re part of our Mizzou Academy community! 

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.

This course is asynchronous, meaning you can complete lessons and assignments at your own pace.

Most students spend approximately 10 hours per lesson interacting with course content, participating in interactive activities, and completing practice exercises, as well as drafting and revising assignments, preparing for quizzes and assessments, and taking exams. Your time may vary depending on your goals and learning style. 

We encourage you to work at a consistent pace, allowing time to absorb new ideas, build skills, and reflect on what you’ve learned. Use a pacing guide to plan ahead, stay organized, and finish strong. 

Course Description

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.

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 Essential Question


 Essential Question

How do we use transformations, trigonometry, and measurement to quantify the properties of curved shapes and three-dimensional space?

Course Overview

Lesson

Objectives

Quiz

Assignment

1: Introduction to Similarity and Proving Similar Triangles

8.1—Use similar polygons.
8.2—Prove triangles similar by Angle-Angle.
8.3—Prove triangles similar by Side-Side-Side and Side-Angle-Side.

20 multiple-choice questions 

No Assignment

2: Transformations

4.1—Translate figures and use vectors.
4.2—Perform reflections.
4.3—Perform rotations.
4.4—Identify and use congruence transformations.

No Quiz

Lesson 2 Assignment

There are 8 questions on this assignment, the points vary by question, point values are given with each question, for a total of 40 points.

3: More Work with Transformations and Similarity

4.5 – Identify and perform dilations.
4.6a – Perform and describe similarity transformations.
4.6b – Prove figures are similar.
8.4 – Understand and use proportionality theorems.

20  multiple-choice questions 

No Assignment

4: Working with Right Triangles

9.1a – Apply the Pythagorean Theorem.
9.1b – Use the Converse of the Pythagorean Theorem.
9.2 – Work with special right triangles.
9.3 – Use similar right triangles.

20  multiple-choice questions 

No Assignment

5: Introduction to Trigonometry

9.4 – Apply the tangent ratio.
9.5 – Apply the sine and cosine ratios.
9.6 – Solve right triangles.
9.7 – Apply the Law of Sines and Law of Cosines

20  multiple-choice questions 

No Assignment

6: Introduction to Circles

10.1 – Use properties of tangents.
10.2 – Find arc measures.
10.3 – Apply properties of chords.
10.4 – Use inscribed angles and polygons.

20  multiple-choice questions 

No Assignment

Midterm Exam

7: Relationships with Circles and Parabolas

10.5 – Apply other angle relationships in circles.
10.6 – Find segment lengths in circles.
10.7 – Write and graph equations of circles.
10.8 – Write and graph equations of parabolas, including foci and directrix.

No Quiz

Lesson 7 Assignment

There are 8 questions on this assignment, each worth 5 points, for a total of 40 points.

8: Circumference and Area

11.1 – Find circumference and arc length.
11.2 – Find areas of circles and sectors.
11.3 – Find areas of regular polygons.
11.4 – Use density and area to solve problems.

20 multiple-choice questions 

No Assignment

9: Introduction to Surface Area and Volume

12.1 – Use cross sections of solids.
12.2 – Find and use volumes of prisms and cylinders.
12.3 – Find and use volumes of pyramids.
12.4 – Find and use surface areas and volumes of cones.

20 multiple-choice questions 

No Assignment

10: More with Surface Area and Volume

12.5 – Find and use surface areas and volumes of spheres.
12.6 – Solve modeling problems involving surface areas and volumes.
12.7 – Sketch and use solids of revolution.

20 multiple-choice questions 

No Assignment

11: Introduction to Probability

13.1 – Find sample spaces and probabilities of events.
13.2 – Use two-way tables to represent data and find probabilities.
13.3 – Find and use conditional probabilities.

20 multiple-choice questions 

No Assignment

12: More with Probability

13.4 – Understand and find probabilities of dependent and independent events.
13.5 – Find probabilities of disjoint and overlapping events.
13.6 – Find and use combinations and permutations.
13.7 – Understand and use binomial distributions.

20 multiple-choice questions 

No Assignment

Final Exam

 

Exams

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

Exam Matrix
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

40 multiple-choice

40 multiple-choice
Points Possible 360 points 360 points
Time Limit 2.5 hours 2.5 hours
What to Bring to the Exam Site
  • a valid photo identification
  • Calculator
  • Formula sheet (provided on exam page)
  • Scratch paper - For online proctoring, you must have a paper shredder available and shred it in front of the online proctor at the end of the exam; for face-to-face proctoring your proctor must take your notes at the end of the exam and dispose or shred.
  • Personal whiteboard and tissue/eraser (recommended small-tip marker like a pen) - You will erase the board in front of the proctor at the end of the exam.
  • Graphing paper - For online proctoring, you must have a paper shredder available and shred it in front of the online proctor at the end of the exam; for face-to-face proctoring your proctor must take your notes at the end of the exam and dispose or shred.
  • a valid photo identification
  • Calculator
  • Formula sheet (provided on exam page)
  • Scratch paper - For online proctoring, you must have a paper shredder available and shred it in front of the online proctor at the end of the exam; for face-to-face proctoring your proctor must take your notes at the end of the exam and dispose or shred.
  • Personal whiteboard and tissue/eraser (recommended small-tip marker like a pen) - You will erase the board in front of the proctor at the end of the exam.
  • Graphing paper - For online proctoring, you must have a paper shredder available and shred it in front of the online proctor at the end of the exam; for face-to-face proctoring your proctor must take your notes at the end of the exam and dispose or shred.

Quizzes and 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.

 

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:

Source Available Points
Lesson Assignments 80
Lesson Quizzes 400
Midterm Exam 360
Final Exam 360
Total 1200

 

Textbook & Technology Requirements

To fully participate, make sure you have:

  • A computer that meets our Mizzou Academy technology requirements
  • A microphone and webcam for recording audio and video assignments
  • Any other required textbooks or materials for the course

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.

Technology

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

Additional requirements for the course are below: 

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

If you ever have trouble accessing course materials or recording tools, reach out to your teacher for support. We are here to help!

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.

Canvas Technical Support

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