Quadratics

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Quadratics
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Purpose of the activity
To have the students use TI Navigator to find
the equation of the church arch.
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Expected knowledge of the students

• Students are aware of the parent function of the
  parabola (y x2)
• Students are aware of the individual
  transformations of the parent
• Students are aware of the standard form of the
  quadratic
• Students can submit points, equations and lists
  using TI Navigator

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Activity

• Using TI Navigator, have the students mark points
  on the church arch. (The number of points that
  you would have the students plot would be based
  on the class size).

• It is important to have the students submit the
  points on the arch first as this will become the
  background for the student calculators as they
  try to find the equation of the church arch.

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• Have the students submit an equation using TI
  Navigator. The equation is to fit on and model
  the church parabola. (Have the TI Navigator
  configuration so that students cannot resubmit
  equations. This is important so that the teacher
  can have a discussion regarding the specific
  transformations of the student submissions).

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After the discussion of the student equations,
reconfigure TI Navigator to allow students to
resubmit equations so that all students can
create a quadratic equation that will fit the
church parabola.

• When the students have finished submitting their
  quadratic equations stop activity to discuss
  the similarities and differences of the students
  equations.

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Extensions
1. Have students resubmit quadratic equations in
standard form

• 2. Have students submit quadratic equations of
  various transformations of the quadratic parent.
  Two possible ways to use TI Navigator

• Dictate transformations to the students so that
  they move their existing parabola to a new
  location on the TI Navigator grid.
• Change the two axes in TI Navigator to reposition
  the church arch, so that students submit new
  quadratic equations.