Equations of hyperbolas (recognition and basic properties)

Teacher tools for this standard

Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
Guided Notes →One page your students fill in and keep.
Exit Ticket →Three items at the end of class. No student accounts.
Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
Homework →Assign practice; it grades itself.

G 609. Recognize special characteristics of parabolas and circles (e.g., the vertex of a parabola and the center or radius of a circle) AF 705. Identify characteristics of graphs based on a set of conditions or on a general equation such as y = ax² + c

G 609. Recognize special characteristics of parabolas and circles (e.g., the vertex of a parabola and the center or radius of a circle)
AF 705. Identify characteristics of graphs based on a set of conditions or on a general equation such as y = ax² + c

What you'll learn

Identify an equation as a hyperbola from the fact that its two squared terms have opposite signs
Read the center off (x - h)^2/a^2 - (y - k)^2/b^2 = 1, handling the sign inversion
Determine from which squared term is positive whether the branches open left-right or up-down
Locate the two vertices, and explain why the curve has no intercepts on the other axis
Sketch both branches using the vertices and the guide box
Normalize a hyperbola equation to standard form by dividing so the right side is 1

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