1. Design a clown face using only graphs (or
parts of graphs) of parabolas. When you have a design you like, record
the equations you use, including any restrictions on the domain or
range of each. Give the equations for your clown face to two classmates.
Ask them to sketch the face from the equations. Compare their
sketches with yours. Check your equations to resolve any differences
among the graphs.
Equations for Parabolas will vary. Check students work.
2. Design several clown faces using graphs
(or parts of graphs) of conic sections. Each face should convey a different
emotion, such as anger, sadness, joy, or surprise. For each face, record
the equations you use, including any restrictions.
check students work
3. Find two classmates. Collect measurements
for the distance h from the top of the head to the chin and the distance
w across the face at the eyes. Analyze
data to design an elliptical
outline for a clown face that will fit the "average" student. Record
the equation you use. How well does your ellipse fit your own face?
Do you think an ellipse is a good approximation for the shape of a
human face? Why or why not?
An ellipse is good to
simulate the shape of a face. My face was a little smaller than the
people that I measured.
4. Create a display for your designs. Choose
you like and be creative. Set your display in the glass
case in the foyer by the office.