The Start of Something

BIG

CONICS Art Foldable

�Create a multifaceted foldable

�CONIC Art Practice

�Create Your Own CONICS Art

Start Something BIG..

� From the ziploc bag:� Take one full sheet

and one half sheet of cardstock

� You will also need to share the scissorsFirst, take the half

� Next take the full sheet

� First, fold it hotdog style and make a crease

� Open the fold and fold in the two edges towards the center

Foldable

� First, take the half sheet and fold it hotdog style

� Then cut along the crease and lay aside

towards the center crease—this will result in 3 parallel creases and 4 columns

� Repeat this process hamburger style—this will result in a table with 4 rows and 4 columns

� 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

Now cut and weave…

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

� Radius

� Equation

� Tangent

� Axis of Symmetry

� Equation

� Direction

� Focus

� Directrix

The equation of a circle with

center (0,0) and

radius, r, is

x2 + y2 = r2

� Center

� Equation

� Vertices

� Foci

� Co-vertices

� Center

� Equation

� Vertices

� Foci

� Co-vertices

� Asymptotes

c2 = a2 – b2

c2 = a2 + b2

Tangent

HORIZONTAL VERTICAL

HORIZONTAL VERTICALHORIZONTAL VERTICAL

HORIZONTAL VERTICAL

� Center

� Radius

� Equation

� Tangent

� Axis of Symmetry

� Equation

� Direction

� Focus

� Directrix

� Center

� Equation

� Vertices

� Foci

� Co-vertices

� Center

� Equation

� Vertices

� Foci

� Co-vertices

� Asymptotes

c2 = a2 – b2

c2 = a2 + b2

HORIZONTAL VERTICAL

Now let’s try some CONIC art!

{ } ( )29111 xY −−= ,

�Take your calculator

�Go to the y= screen

�Type the following equations:

�

� You should see a smiley face on your calculator.

� Use Zoom 4:Zdecimal to see the design better

� The final step is to turn AxesOff Use

Note: These equations have been solved for y= from the standard form on the foldable. Most students use Green Globs to practice and refine their artwork in standard form

before solving for y=e.g. Y1 was: x2 + y2 = 9

�

�

�

�

). and .(. 51512522

≤≤−−= xxxY

{ } ( ) 1125111132

++−−= *)./)((, xY

{ } ( ) 1125111142

+−−−= *)./)((, xY

� The final step is to turn AxesOff Use the Format (2nd ZOOM, then scroll down to AxesOff)

{ } ( ) ). and ./(*)/(, 53534911152

≤≤−−−−= xxxY

� 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

Now it’s your turn…

� While you are working I will display some of my students’ works…