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BellringerThursday september 6, 2012
35 people go to a party and shake everyone’s hand
exactly once. Estimate how
many handshakes there will be!
Group Work
We will be working in groups ALOT this semester.
Knowing how to work well with others is an important part of life (Cheesy I know, but true!)
Expectations for Group Work:
RESPECT others
Ask for help when necessary
Help others when asked
STAY ON TASK :)
inductive reasoning
Scientists and mathematicians look for patterns and try to draw conclusions from them!
A conjecture is an unproven statement that is based on a pattern or observation.
Looking for patterns and making conjectures is part of a process called inductive reasoning.
Handshake activity
35 people go to a party and shake everyone’s hand
exactly once. How many handshakes
are there?
handshake activity
In groups of 4, answer questions 2-5 on your worksheet. I will be walking around answering questions as needed!
If you’re stuck, actually shake hands with the people in your group and count how many total handshakes there are.
Let’s do part of number 2 together.
handshake activity
You will have 30 minutes to
complete this activity.
If you finish early, raise your hands and let me know!
QuickTime™ and aH.264 decompressor
are needed to see this picture.
number 2
# of people
1 2 3 4 5
# of total handshak
es0 1 3 6 10
Does anyone Does anyone see any see any
patterns?patterns?
number 3Try it this
way!
# of people
1 2 3 4 5 6 35
# of handshake
s per person
# of total handshake
s
0 1 3 5 34
0 1
1
2 4
3 6
5
10 15 595
number 4
How many handshakes would there be at a party of 40 people?
Let’s generalize...
# of handshakes=
6 volunteers???
number 4
How many handshakes would there be at a party of 40 people?
# of handshakes=
# of handshakes= =
780 handshakes