Warmup Short Answer Go into Socrative App Enter

Warmup (Short Answer) • Go into Socrative App • Enter Room number _195236___ • Enter the names of the people in your group. • Talk with the members of your group, and identify something you all have in common.

1. 1 Patterns and Inductive Reasoning

Learning Target • I can find a pattern using inductive reasoning.

• Inductive Reasoning – Reasoning that is based on patterns you observe. If you observe a pattern in a sequence, you can use Inductive Reasoning to tell what the next term in the sequence will be.

• Conjecture – a conclusion you reach using Inductive Reasoning.

Examples • Find the pattern to come up with the next two terms in the sequence • EX 1) 3, 6, 12, 24, ___ • EX 2) 1, 2, 4, 7, 11, 16, 22, ___

You try some •

• Patterns can be with Shapes, too. EX:

• Counterexample – An example in which a conjecture is incorrect…you are proving a statement false.

In your groups • Find a counterexample to show that the conjecture is false • The product of two positive numbers is greater than either number *remember product means multiply

In your groups, The sum of two numbers is greater then either number. *sum means to add Provide a counterexample that would make this statement be false.

CLASSWORK/HOMEWORK • Practice Worksheet 1 -1 # 1 -6, 13 -15, 18 • We will go over this tomorrow

• Homework • Due Tomorrow • Pages 6 -7 #1 – 12 (Skip 7, 8), 19 -21, 27, 31 -35, 42, 43