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math 10C (gr 10)
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Conics, Math 30-1 (grade 12)

Segway to Quadratics

    

Activities:
Parabola

Play with the parameters that influence the parabola, find the roots.

  Focus of the Parabola
- use the mouse to drag the Focus and see the effect on the parabola's curve.
  Experiment with the effect of coefficient a on the parabola.
ax2+bx+c
("standard form")
  ax2+bx+c

when messing with the b of this function, the Min point of the parabola moves along its own similar parabola.
Use Desmos and your own calculations to figure out what is the formula/function for the trajectory that the Min point incurs during changes to b.
Click here for one possible solution.

  Use your 3D printer to create a "live" parabola. https://www.youtube.com/watch?v=-mqRisANuWE
  Interactive Tool: Manipulate the Sections of a Cone
https://illuminations.nctm.org/Activity.aspx?id=3506

Interactive Tool: Manipulate the Sections of a Cone http://www.shodor.org/interactivate/activities/CrossSectionFlyer/

Conics in Generals

see also these formulas:

or on .teacherspayteachers.com.
Conic Sections (animation)

Lessons on Conics

http://www.shelovesmath.com/precal/conics/
  https://njctl.org/courses/math/pre-calculus/conics/
  https://illuminations.nctm.org/Lesson.aspx?id=2907
 

Activities and Exploration

Use Google SketchUp (free)
(see also SketchUp tutorials)
   
  Project: Using Conics to build Baymax
     

    

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