One
90-minute block +out of class time to complete
culminating assessment
Resources/
Materials :
Class
roster
Catalog
pages - provided by teacher (top, pant/skirt
and shoe page)
Overhead
transparencies
Culminating
Assessment:
Students
will be asked to create, using the class
roster, a tree diagram identifying the number
of possible student groups, using 3, 4 and 5
class members at a time. Students will verify
the number of groupings using the Fundamental
Counting Principle numeric method.
Instructional
Activities:
Launch
Activity:
Students,
in cooperative pairs, will choose 3 clothing
pictures (shirt, pants and shoes) from a
popular catalog and create as many outfits
using the 3 items chosen. Students should find
all possible options, whether they would
choose the clothing combination themselves or
not.
Cognitive
Teaching Strategies:
1.
Students will describe the thought process
they went through to determine the number of
combinations. As pairs describe their process,
the teacher will write common elements on the
board and discuss.
2.
The teacher will introduce the Tree Diagram to
students, showing several examples.
3.
Students, in cooperative pairs, will create a
tree diagram using their original choices as
the teacher circulates giving assistance.
4.
The teacher will introduce the numeric method
of determining the number of possibilities.
While still in pairs, students will compare
their results with that of the numeric method
and determine errors made, if any.
5.
Pairs will then write paragraph comparing and
contrasting the two methods. One student will
write the "compare" paragraph and
one will write the "contrast"
paragraph. Students should discuss which
method is most accurate and which would be
most beneficial in particular circumstances
and why. Pairs will then submit papers for
grading.
Culminating/Summarizing
Activity
1.
Each student will be given a copy of the class
roster. Students will have to determine the
number of students groups possible, combining
3,4 and 5 students at a time. Students will
create a tree diagram showing possibilities as
well as determine the Fundamental Counting
Principal numeric answer.
1.
The teacher will circulate, making suggestions
when needed.
2.
Students are expected to have a neat final
product that is thoughtful and well planned.
Accuracy of the tree diagram and steps
accompanying the Fundamental Counting
Principal are mandatory.
3.
The teacher should use the group arrangements
that the students create throughout the year
for cooperative learning exercises. Students
should keep a copy of this exercise in the
front of their notebook and be ready to group
students using their diagram when called upon
by the teacher. Students should be allowed to
complete this problem overnight to allow for
revisions.
4.
Before leaving, students will write a short
paragraph describing the problems they foresee
in completing the tree diagram and how they
will address them.
