Display Title
Definition--Functions and Relations Concepts--Conic Sections
Display Title
Conic Sections
Topic
Functions and Relations
Definition
Conic sections are the curves obtained by intersecting a plane with a double-napped cone.
Description
Conic sections include circles, ellipses, parabolas, and hyperbolas, which are fundamental in the study of geometry and algebra. These shapes are described by quadratic equations and have numerous applications in physics, engineering, and astronomy. For example, the orbits of planets are ellipses, and parabolic mirrors are used in telescopes and satellite dishes. The general quadratic equation for conic sections is
Ax2 + Bxy + Cy2 + Dx + Ey + F = 0
Understanding conic sections is crucial for solving geometric problems and for applications in designing optical systems and analyzing planetary motion.
For a complete collection of terms related to functions and relations click on this link: Functions and Relations Collection
| Common Core Standards | CCSS.MATH.CONTENT.8.F.A.1, CCSS.MATH.CONTENT.8.F.B.5, CCSS.MATH.CONTENT.HSF.IF.A.1, CCSS.MATH.CONTENT.HSF.IF.A.2, CCSS.MATH.CONTENT.HSF.IF.C.7, CCSS.MATH.CONTENT.HSF.BF.A.1, CCSS.MATH.CONTENT.HSF.BF.B.3, CCSS.MATH.CONTENT.HSF.BF.B.4 |
|---|---|
| Grade Range | 6 - 9 |
| Curriculum Nodes |
Algebra • Functions and Relations • Conic Sections |
| Copyright Year | 2013 |
| Keywords | definition, function, relations, glossary terms |
