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.
About Summer Math Courses
Summer initial-credit math courses are self-paced courses intended to help students accelerate their math study. The courses use content from Accelerate Education taught by certified VHS Learning teachers who will support students, answer questions, and provide feedback. The courses are hosted in the Buzz learning management system. Students may spend 60-80 hours completing this course, though time-spent will vary based on a student’s performance and capacity for independent study. Students will have up to 6-weeks to complete a course and can request a transcript in as little as 4 weeks, if they finish all course activities in that timeframe.
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.