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 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 EX1) 3, 6, 12, 24, ___, ___ EX2) 1, 2, 4, 7, 11, 16, 22, ___, ___
You try some 3, 33, 333, 3333, ____, ____ 1, ½, ¼, 1 8 , ___, ___ 1, ½, ¼, 1 8 , ___, ___ 81, 27, 9, 3, ___, ___ 2, 4, 8, 16, 32, ___, ___
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, *sum means to add The sum of two numbers is greater then either number. *sum means to add Provide a counterexample that would make this statement be false.
Practice Worksheet 1-1 # 1-6, 13-15, 18 We will go over this tomorrow CLASSWORK/HOMEWORK Practice Worksheet 1-1 # 1-6, 13-15, 18 We will go over this tomorrow
Pages 6-7 #1 – 12 (Skip 7, 8), 19-21, 27, 31-35, 42, 43 Homework Due Tomorrow Pages 6-7 #1 – 12 (Skip 7, 8), 19-21, 27, 31-35, 42, 43