2.1.Inductive Reasoning

HW pg. 75 #3­17

September 04, 2014

BELLWORK

2.1.Inductive Reasoning

HW pg. 75 #3­17

September 04, 2014

2-1 Inductive Reasoning Objectives: 1. Describe patterns 2. Use inductive reasoning to find the next term in a number or picture pattern.

Draw the next 2 figures in the sequence below:

2.1.Inductive Reasoning

HW pg. 75 #3­17

September 04, 2014

2.1.Inductive Reasoning

HW pg. 75 #3­17

September 04, 2014

Make a conjecture about the rule for the sequence below & find the next 2 terms:

1, ­1 , 3

1,9

­ 1 27

, __, __

Make a conjecture about the rule for the sequence below & find the next 2 terms:5, 10, 15, 20, __, __

Conjecture: an unproven statement that is based on observation

What is inductive reasoning?

reaching a conclusion based on a pattern discovered through observation

Multiply by -1/3 to get the next number in the sequence; 1/81, -1/243

You can add 5 to the last number to get the next number in the sequence; 25, 30

2.1.Inductive Reasoning

HW pg. 75 #3­17

September 04, 2014

2.1.Inductive Reasoning

HW pg. 75 #3­17

September 04, 2014

The past 5 times that you have walked across your carpet barefoot and then touch the door knob on the front door you were shocked.

a) What conclusion might you make about the next time you walk across the floor barefoot and touch the door knob?

b) What counterexample would you need to find to disprove this conclusion?

Counterexample: a specific case when the conjecture is false

2.1.Inductive Reasoning

HW pg. 75 #3­17

September 04, 2014

2.1.Inductive Reasoning

HW pg. 75 #3­17

September 04, 2014

2.1.Inductive Reasoning

HW pg. 75 #3­17

September 04, 2014

Homeworkpg. 75#3-17