Bellringer Thursday september 6, 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 :)

groups Please move your desks in groups of 4!

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!

number 2 # of people12345 # of total handshake s Does anyone see any patterns?

number 3 Try it this way! # of people # of handshakes per person # of total handshakes

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

Number 5 If there were 253 handshakes at the party, how many people were there? 23 people

homework Get Geometry Binder/Binder Tabs by Friday!