Reflection: Flexibility The Hyperbola (Day 2 of 2) - Section 1: Bell Work


Many books give formulas for find the asymptotes but the students do not see how the book formula connects with equations for lines.  Many students are more familiar with the slope-intercept form of an equation and do not remember or may have not used other forms.  By understanding how to find slope the point-slope equation can be developed and is an important form of a linear equation for calculus.

In this lesson I remind students of the point-slope equation and we discuss how the center of the hyperbola is a point on both asymptotes.  I also connect (y-k) and (x-h) to the standard equation of a hyperbola.  We also discuss how how we can find another point by using the parameters "a" and "b" or use these parameters to find the slope. 

When I develop the asymptote equations this way the students understand how all the pieces of the standard equations are used to find key features. I am also able to reinforce ideas that will be used in Calculus.


  Finding the equation of asymptotes
  Flexibility: Finding the equation of asymptotes
Loading resource...

The Hyperbola (Day 2 of 2)

Unit 5: Conics
Lesson 9 of 13

Objective: SWBAT find the standard equation of a hyperbola when given key features of the graph.

Big Idea: How can a hyperbola be represents by an equation.

  Print Lesson
1 teacher likes this lesson
Math, hyperbola, conic sections, Conics
  55 minutes
hyperbola lesson image
Similar Lessons
What is Algebra?
Algebra II » Modeling with Algebra
Big Idea: Algebra is built on axioms and definitions and relies on proofs just as much as geometry.
Fort Collins, CO
Environment: Suburban
Jacob Nazeck
Conics Sections with Princess the Dog
12th Grade Math » Conic Sections
Big Idea: Students will refresh their knowledge of conic sections using an interactive format.
Troy, MI
Environment: Suburban
Tim  Marley
Rabbit Run -- Day 2 of 2
Algebra I » Quadratics!
Big Idea: Students look for and express regularity in repeated reasoning (MP8) as they generalize a formula.
Boston, MA
Environment: Urban
Amanda Hathaway
Something went wrong. See details for more info
Nothing to upload