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Math
Oklahoma Math
Precalculus (PC): Conic Sections (CS)
Model real-world situations which involve conic sections.
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Identify key features of conic sections (foci, directrix, radii, axes, asymptotes, center) graphically and algebraically.
- Center & radii of ellipses from equation
- Ellipse features review
- Ellipse foci review
- Equation of a hyperbola not centered at the origin
- Foci of a hyperbola from equation
- Foci of a hyperbola from equation
- Foci of an ellipse from equation
- Foci of an ellipse from equation
- Foci of an ellipse from radii
- Graph & features of ellipses
- Graphing hyperbolas (old example)
- Intro to conic sections
- Intro to ellipses
- Intro to focus & directrix
- Intro to hyperbolas
- Parabola focus & directrix review
- Proof of the hyperbola foci formula
- Vertices & direction of a hyperbola
- Vertices & direction of a hyperbola
- Vertices & direction of a hyperbola (example 2)
Sketch a graph of a conic section using its key features.
- Ellipse equation review
- Ellipse graph from standard equation
- Ellipse standard equation & graph
- Equation of a hyperbola not centered at the origin
- Foci of a hyperbola from equation
- Graphing hyperbolas (old example)
- Intro to ellipses
- Intro to hyperbolas
- Vertices & direction of a hyperbola
- Vertices & direction of a hyperbola
Write the equation of a conic section given its key features.
Given the equation 𝑎𝑥^2 + 𝑏𝑦^2 + 𝑐𝑥 + 𝑑𝑦 + 𝑒 = 0, determine if the equation represents a circle, ellipse, parabola, or hyperbola.
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