In this course, deductive and inductive reasoning are emphasized, while students apply problem-solving techniques to real-world problems. Students explore quadrilaterals and circles and learn how an object is transformed, as well as how to represent that transformation algebraically and geometrically. Students calculate area and volume of two-dimensional and three-dimensional objects.
Major topics include:
Quadrilaterals
Transformations
Circles
Area
Volume
Probability
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:
- What makes quadrilaterals different from other polygons, and how does their geometry compare?
- When are shapes similar, and how can we use equations to identify and analyze these relationships?
- How can we visually represent lines and shapes changing, and what information can graphs reveal?
- How are triangles and circles connected, and how do trigonometric functions unlock their hidden relationships?
- What problems can we solve using the combination of geometry and trigonometry?
- How do we approach and solve equations involving different types of geometric shapes, and what strategies can we apply effectively?
- How can we harness geometric tools like lines, angles, and shapes to think logically and reason through problems?
Course Learning Objectives:
- Compare and contrast the properties of quadrilaterals, polygons and similar figures, including their equations and problem-solving methods.
- Graph the transformations of lines and figures.
- Use trigonometric functions to solve problems involving triangles and circles.
- Connect various geometric tools and concepts to logical reasoning and problem solving.