Patterns and Inductive Reasoning

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Presentation transcript:

Patterns and Inductive Reasoning Geometry Patterns and Inductive Reasoning

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

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

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

Make a Conjecture Make a conjecture of the sum of the first 30 even numbers: 2=2 2+4=6 2+4+6=12 2+4+6+8=20 Conjecture? 30∗31=930

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

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

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.

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