Transcript Day 6 Iron Chef Presentation is prepared for The Park City Mathematics Institute, Secondary School Teachers Program, June 26-July 14, 2006 by Akihiko.

Day 6
Iron Chef
Presentation is prepared for The Park City Mathematics Institute, Secondary School Teachers Program, June 26-July 14, 2006
by Akihiko Takahashi
Presentation is prepared for The Park City Mathematics Institute, Secondary School Teachers Program, June 26-July 14, 2006
by Akihiko Takahashi
Presentation is prepared for The Park City Mathematics Institute, Secondary School Teachers Program, June 26-July 14, 2006
by Akihiko Takahashi
Presentation is prepared for The Park City Mathematics Institute, Secondary School Teachers Program, June 26-July 14, 2006
by Akihiko Takahashi
Presentation is prepared for The Park City Mathematics Institute, Secondary School Teachers Program, June 26-July 14, 2006
by Akihiko Takahashi
Each week, after the surprise
ingredient is revealed, the challenger
and the Iron Chef face off in a
frenetic culinary battle. The guest
panel judges the menus to determine
who is victorious and who is
vanquished.
Presentation is prepared for The Park City Mathematics Institute, Secondary School Teachers Program, June 26-July 14, 2006
by Akihiko Takahashi
Origami Paper(s)
Presentation is prepared for The Park City Mathematics Institute, Secondary School Teachers Program, June 26-July 14, 2006
by Akihiko Takahashi
Example 1
Can you make a right triangle from a
sheet of origami paper? You may use only
a pair of scissors and a pencil.
Presentation is prepared for The Park City Mathematics Institute, Secondary School Teachers Program, June 26-July 14, 2006
by Akihiko Takahashi
Example 2
Presentation is prepared for The Park City Mathematics Institute, Secondary School Teachers Program, June 26-July 14, 2006
by Akihiko Takahashi
Example 3
As you know, you can cut a piece of
Origami paper into two equal-size parts
(equal area) by a straight line.
Can you still be able to cut the following
shape, which is made from two pieces of
Origami Paper, into two equal-size parts by
a straight line?
Presentation is prepared for The Park City Mathematics Institute, Secondary School Teachers Program, June 26-July 14, 2006
by Akihiko Takahashi
Anticipated Solutions
Presentation is prepared for The Park City Mathematics Institute, Secondary School Teachers Program, June 26-July 14, 2006
by Akihiko Takahashi
Developing a problem for your students
1)
Determine if the problem is appropriate
a)
b)
c)
2)
3)
4)
Is the problem rich in mathematical content and valuable
mathematically?
Is the mathematical level of the problem appropriate for
the students?
Does the problem include some mathematical features
that lead to further mathematical development?
Anticipate students’ responses to design a lesson.
Make the purpose of using the problem clear.
Make the problem as attractive as possible.
Presentation is prepared for The Park City Mathematics Institute, Secondary School Teachers Program, June 26-July 14, 2006
by Akihiko Takahashi