Aligned Resources

Common Core State Standards
Geometry
Expressing Geometric Properties with Equations
Translate between the geometric description and the equation for a conic section

Lessons  •  Activities  •  Show All

Lessons (2)

Introduces students to a geometric derivation of the conic sections.

Audiences: Grades 9-12

Primary Subjects: Algebra, Geometry

Related Topics: circles, conic section, ellipse, hyperbola, parabola, pre-calculus

This lesson utilizes the concepts of cross-sections of three-dimensional figures to demonstrate the derivation of two-dimensional shapes.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Geometry

Related Topics: conic section, geometry, hyperbola, parabola, polygon, pre-calculus, pyramid

Activities (2)

Manipulate different types of conic section equations on a coordinate plane using slider bars. Learn how each constant and coefficient affects the resulting graph. Choose from vertical or horizontal parabola, circle, ellipse, and vertical or horizontal hyperbola.

Audiences: Grades 9-12, Undergraduate

Primary Subjects: Algebra, Geometry, Graphs

Related Topics: algebra, cartesian coordinate, circles, conic section, coordinate plane, ellipse, function properties, functions, graph, hyperbola, parabola, pre-calculus, radius, slides, translation

Explore cross sections of different geometric solids: cone, double cone, cylinder, pyramid, and prism. Manipulate the cross section with slider bars, and see how the graphical representation changes.

Audiences: Grades 9-12, Undergraduate

Primary Subjects: Algebra, Calculus, Geometry, Graphs

Related Topics: algebra, calculus, cartesian coordinate, circles, conic section, coordinate system, ellipse, flyer, graph, hyperbola, parabola, polygon, polyhedra, pre-calculus, prisms, pyramid, radius, rotation, transformation