1. Patterns and Inductive Reasoning
Geometry
Patterns and Inductive Reasoning

2. Entry Task What are the next two terms in the following sequences?
45,40,35,30,….

3. Learning Targets Success Criteria
I understand how to use inductive reasoning to make conjectures
Success Criteria
I can use inductive reasoning to make conjectures based on patterns.
1 mins

4. From your video: What do we call reasoning based on patterns?
Inductive Reasoning
What is a conclusion you reach using inductive reasoning
Conjecture

5. Make a Conjecture
Make a conjecture of the sum of the first 30 even numbers:
2=2
2+4=6
2+4+6=12
=20
Conjecture?
30∗31=930

6. What do we call an example that shows that a conjecture is incorrect?
Counterexample
Examples:
If a flower is red, it is a rose
One and only one plane exists through any three points

7. Learning Targets Success Criteria
I understand how to use inductive reasoning to make conjectures
Success Criteria
I can use inductive reasoning to make conjectures based on patterns.
1 mins

8. Exit Ticket What is a counterexample for the following conjecture:
On your computer or your phone open of Socrative. (google it)
Click student log-in: CHOPSTICKS is your class ID
Answer the first two questions on you own. The third question is the answer to this question.
What is a counterexample for the following conjecture:
All four-sided figures are squares.

9. Homework
Pg 85
#6, 8, 21, 25, 35, 36
On SuccessNet watch the first 2 short videos for 2-2
Go to the To Do and do the short quiz