Conics

  • #132 Gizmo Image

    Ellipse - Activity A

    Compare the equation of an ellipse to its graph. Vary the terms of the equation of the ellipse and examine how the graph changes in response. Drag the vertices and foci, explore their Pythagorean relationship, and discover the string property.

  • #65 Gizmo Image

    Ellipse - Activity B

    Compare the equation of an ellipse to its graph. Vary the terms of the equation of the ellipse and examine how the graph changes in response. Manipulate the vertices and foci, explore their Pythagorean relationship, and discover the string property.

  • #140 Gizmo Image

    Hyperbola - Activity A

    Compare the equation of a hyperbola to its graph. Vary the terms of the equation of the hyperbola. Examine how the graph of the hyperbola and its asymptotes changes in response.

  • #67 Gizmo Image

    Hyperbola - Activity B

    Compare the equation of a hyperbola to its graph. Vary the terms of the equation of the hyperbola and examine how the graph of the hyperbola and its asymptotes changes in response. Drag the vertices and foci to discover the string property.

  • #75 Gizmo Image

    Parabola with Horizontal Directrix

    Compare the graph of a parabola opening vertically and its directrix to its equation. Vary the terms in the equation and examine how the graph changes in response. Manipulate the focus, directrix, and vertex and discover the string property.

  • #113 Gizmo Image

    Parabolas - Activity A

    Compare the graph of a parabola to its equation. Vary the value of the coefficients in the equation and examine how the graph changes in response.

  • #146 Gizmo Image

    Parabolas - Activity B

    Compare the graph of a parabola to its equation in vertex form and polynomial form. Vary the value of the terms in the equation and examine how the graph changes in response.

  • #74 Gizmo Image

    Parabolas - Activity C

    Compare the graph of a parabola opening horizontally to its equation. Vary the terms in the equation and examine how the graph changes in response. Manipulate the focus, directrix, and vertex and discover the string property.