# Inductive Reasoning Get Ready to Think!!! Need to use all of your background knowledge! - PowerPoint PPT Presentation

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Inductive Reasoning Get Ready to Think!!! Need to use all of your background knowledge!. 1.7. Inductive Reasoning. To make conclusions based on patterns you observe. Example: The past 3 three days have been sunny so it should be sunny tomorrow. Conjecture.

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Inductive Reasoning Get Ready to Think!!! Need to use all of your background knowledge!

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## Inductive ReasoningGet Ready to Think!!!Need to use all of your background knowledge!

1.7

### Inductive Reasoning

• To make conclusions based on patterns you observe.

Example:

The past 3 three days have been sunny so it should be sunny tomorrow.

### Conjecture

• The conclusion to your inductive reasoning

Example:

It will be sunny tomorrow

### Ellipses

Three dots after a pattern that indicates the pattern continues

### Look for Patterns

Examples: Write a rule for the pattern and find the next two numbers.

1.) 30, 25, 20, 15,…

2.) 2, -2, 2, -2…

Alternate 2 and its opposite; 2,-2

3.) 1, 3, 4, 12, 13,…

4.) 3, 9, 27, 81,…

5.) 1, 1, 2, 3, 5, 8,…

Add the previous two numbers together; 13, 21

### Predictions

Your conjecture is a prediction and it may be true or false.

### Counterexample

• One example that proves the statement to be false.

• You only need one to prove the conjecture is not correct

### Determine if the conjecture is correct or not. If it is incorrect, give a counterexample

6.) The last digit of the product of 5 and a whole number is either 0 or 5.

correct

7.)A number and its absolute value are always opposites.

False; 2 and the absolute value of 2 are not opposites. (you could pick any positive number as a counter example.) This only holds true for negative numbers

### Homework

TB: Pg 38 (1-23) odd