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The Start of Something

        BIG

 CONICS Art Foldable
Start Something BIG..
 Create a multifaceted foldable
 CONIC Art Practice
 Create Your Own CONICS Art
Foldable
     From the ziploc bag:    Next take the full sheet
     Take one full sheet     First, fold it hotdog
     and one half sheet of   style and make a crease
     cardstock
                             Open the fold and fold
     You will also need to   in the two edges
     share the scissors      towards the center
     First, take the half    crease—this will result
     sheet and fold it       in 3 parallel creases and
     hotdog style            4 columns
     Then cut along the
     crease and lay aside    Repeat this process
                             hamburger style—this
                             will result in a table
                             with 4 rows and 4
                             columns
Now cut and weave…
 Take the full sheet (yellow) and fold in half
 hamburger (taco; horizontally) style
 Cut from the FOLDED edge along each of the
 3 creases UP TO the vertical crease
 This will result in 3 slits in the middle of your
 paper
 Now weave the two strips
 alternately through the slits
Center
Radius
Equation
Tangent

Axis of Symmetry
Equation
Direction
Focus
Directrix
Center
Equation
Vertices
Foci
Co-vertices
Center
Equation
Vertices
Foci
Co-vertices
Asymptotes
Center             The equation of a circle with
                   center (0,0) and
Radius
                   radius, r, is
Equation           x2 + y2 = r2
Tangent


Axis of Symmetry
Equation
Direction
Focus
Directrix
Center
Equation
Vertices
Foci
Co-vertices                                        c 2 = a2 – b 2
Center
Equation
Vertices
Foci
Co-vertices
Asymptotes
                                                   c 2 = a2 + b 2
Tangent




HORIZONTAL             VERTICAL




HORIZONTAL             VERTICAL




HORIZONTAL             VERTICAL
Center
Radius
Equation
Tangent


Axis of Symmetry
Equation
Direction
Focus
Directrix
Center
Equation
Vertices
Foci
Co-vertices        c 2 = a2 – b 2
Center
Equation
Vertices
Foci
Co-vertices
Asymptotes
                   c 2 = a2 + b 2
HORIZONTAL   VERTICAL
Now let’s try                        Note: These equations have been solved for y= from the
                                      standard form on the foldable. Most students use Green
 some CONIC art!                      Globs to practice and refine their artwork in standard form

                                       before solving for y=
                                      e.g.Y1 was: x2 + y2 = 9
 Take your calculator                               You should see a smiley face on your
 Go to the y= screen                             calculator.
 Type the following equations:                     Use Zoom 4:Zdecimal to see the design
                    (
    Y 1 = {− 1,1} 9 − x 2    )                   better
                                                    The final step is to turn AxesOff Use
  Y 2 = . 5 x 2 − 2( − 1 .5 ≤ x and x ≤ 1 .5 )   the Format (2nd ZOOM, then scroll down
                                                 to AxesOff)
               (                        )
Y 3 = {− 1,1} (1 − ( x + 1) 2 / .25) * 1 + 1

 Y 4 = {− 1,1} ((1 − ( x − 1) / .25) * 1) + 1
                                 2


Y 5 = {− 1,1} ((1 − x / 9) * −4 ) /( −3.5 ≤ x and x ≤ 3.5)
                        2
Now it’s your turn…
 Use what you have learned and design your own
 CONIC Art
 You may use the foldable to design your own
 equations or just modify the dragonfly equations
 While you are working I will display some of my
 students’ works…

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Conics art for camt 2011

  • 1. The Start of Something BIG CONICS Art Foldable
  • 2. Start Something BIG.. Create a multifaceted foldable CONIC Art Practice Create Your Own CONICS Art
  • 3. Foldable From the ziploc bag: Next take the full sheet Take one full sheet First, fold it hotdog and one half sheet of style and make a crease cardstock Open the fold and fold You will also need to in the two edges share the scissors towards the center First, take the half crease—this will result sheet and fold it in 3 parallel creases and hotdog style 4 columns Then cut along the crease and lay aside Repeat this process hamburger style—this will result in a table with 4 rows and 4 columns
  • 4. Now cut and weave… Take the full sheet (yellow) and fold in half hamburger (taco; horizontally) style Cut from the FOLDED edge along each of the 3 creases UP TO the vertical crease This will result in 3 slits in the middle of your paper Now weave the two strips alternately through the slits
  • 6. Center The equation of a circle with center (0,0) and Radius radius, r, is Equation x2 + y2 = r2 Tangent Axis of Symmetry Equation Direction Focus Directrix Center Equation Vertices Foci Co-vertices c 2 = a2 – b 2 Center Equation Vertices Foci Co-vertices Asymptotes c 2 = a2 + b 2
  • 7. Tangent HORIZONTAL VERTICAL HORIZONTAL VERTICAL HORIZONTAL VERTICAL
  • 8. Center Radius Equation Tangent Axis of Symmetry Equation Direction Focus Directrix Center Equation Vertices Foci Co-vertices c 2 = a2 – b 2 Center Equation Vertices Foci Co-vertices Asymptotes c 2 = a2 + b 2
  • 9. HORIZONTAL VERTICAL
  • 10. Now let’s try Note: These equations have been solved for y= from the standard form on the foldable. Most students use Green some CONIC art! Globs to practice and refine their artwork in standard form before solving for y= e.g.Y1 was: x2 + y2 = 9 Take your calculator You should see a smiley face on your Go to the y= screen calculator. Type the following equations: Use Zoom 4:Zdecimal to see the design ( Y 1 = {− 1,1} 9 − x 2 ) better The final step is to turn AxesOff Use Y 2 = . 5 x 2 − 2( − 1 .5 ≤ x and x ≤ 1 .5 ) the Format (2nd ZOOM, then scroll down to AxesOff) ( ) Y 3 = {− 1,1} (1 − ( x + 1) 2 / .25) * 1 + 1 Y 4 = {− 1,1} ((1 − ( x − 1) / .25) * 1) + 1 2 Y 5 = {− 1,1} ((1 − x / 9) * −4 ) /( −3.5 ≤ x and x ≤ 3.5) 2
  • 11.
  • 12. Now it’s your turn… Use what you have learned and design your own CONIC Art You may use the foldable to design your own equations or just modify the dragonfly equations While you are working I will display some of my students’ works…