Module 7: Conic Sections
Master circles, parabolas, ellipses, and hyperbolas through equations, graphs, and applications
Your Progress
Complete all lessons, practice, and assessments to earn your Module 7 badge!
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Learning Objectives
By the end of this module, you will be able to:
- Write equations of circles in standard and general form and identify center and radius
- Graph parabolas and determine vertex, focus, directrix, and axis of symmetry
- Write equations of ellipses and identify center, vertices, foci, and major/minor axes
- Graph hyperbolas and determine center, vertices, foci, and asymptotes
- Identify conic sections from their equations and convert between forms
- Apply conic sections to real-world problems in astronomy, engineering, and architecture
Lessons
Work through each lesson in order. Each lesson includes examples, interactive visualizations, and check-your-understanding questions.
Circles
Master the equation of a circle, complete the square to find center and radius, and graph circles in the coordinate plane.
Parabolas
Explore parabolas with vertical and horizontal orientations, find vertex, focus, and directrix, and apply to real-world problems.
Ellipses
Learn to write equations of ellipses, identify major and minor axes, find foci, and graph ellipses centered at the origin and elsewhere.
Hyperbolas
Master hyperbola equations, determine transverse and conjugate axes, find asymptotes, and apply to navigation systems.
Assessments & Practice
Pre-Assessment
5 questions to gauge your starting knowledge
Not StartedPractice Problems
20 comprehensive problems with detailed solutions
Not StartedModule Quiz
15-question quiz (70% to pass)
Not StartedPost-Assessment
5 questions to measure your learning gains
Not StartedStudy Materials
Ready to Begin?
Start with the pre-assessment to see what you already know!