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Geometry A Self-Paced

Through practical applications, the student sees how geometric reasoning provides insight into everyday life. The course begins with the tools needed in Geometry, setting the foundation for geometric proofs. The student explores the relationships of line segments, angles, and two-dimensional figures. Students will learn about how to use trigonometric ratios to explore similar and congruent triangles.

Major topics include:

Geometry Tools

Logic and Proofs

Angles and Lines

Congruence and Similarity

Triangles

Trigonometric Ratios

Students learn through online lesson activities, videos, and interactive activities. Each module includes lessons that conclude with a brief quiz as well as a module exam. The course contains a cumulative final exam.

This self-paced course uses content from Accelerate Education taught by a VHS Learning instructor who is certified in their content area and who follows VHS Learning policies. The course will be hosted in the Buzz learning management system.

About the Self-Paced Course Model

Self-Paced courses are designed for students who need flexibility in their academic schedule.Teachers answer questions and interact with students in Private Topics, provide feedback on work, and host weekly office hours. Students work independently on course activities; the course does not include class discussion assignments or other collaborative work.

This course has start dates on each Wednesday throughout the year. Students must maintain enrollment for a minimum of 4 weeks and have up to 16 weeks to complete all assignments in the course. It is expected that students will work for approximately 90 hours to complete this course, though the amount of time may vary depending on a student’s work habits and comfort with the material.

Acknowledgements

  • Algebra 1
  • I acknowledge that this is a self-paced course.
  • This course contains an end-of-course proctored exam. Instructions for students to identify an appropriate adult proctor are included in the course lessons.

Course Objectives

Course Essential Questions:

  • How can algebra and geometry be used together to solve problems?
  • What are the key properties of basic geometric shapes, and how can we use them to measure and compare figures?
  • How do transformations like rotations and reflections affect shapes and objects, and how can we apply them in proofs and constructions?
  • What are the different types of angles, and how can we analyze their relationships using logic and tools like protractors?
  • How can we prove theorems about lines and angles, and how can proofs be used to solve problems?
  • What are the relationships between congruent and similar triangles, and how can we use them to solve problems involving ratios and proportions?
  • How can we use different types of logic statements and reasoning to construct proofs and solve problems in geometry?

Course Learning Objectives:

  • Classify geometric shapes and reason about their properties.
  • Transform and analyze shapes using logic.
  • Master angles and their relationships.
  • Prove theorems and solve problems.
  • Explore triangles and their unique properties.
  • Reason logically and build arguments.
  • Apply logic to triangles and solve more complex problems.

Additional Requirements

  • GeoGebra, or other geometry software (optional)
  • Compass
  • Protractor
  • Straightedge (such as ruler)
  • Calculator (or GCalc)
  • Graph Paper