1-1+Inductive+Reasoning+&+Patterns

Websites- [| http://www.basic-mathematics.com/] []

The goal is to use inductive reasoning to make conjectures. Some of the time you will you will be given a series of numbers and asked to find the next few numbers in the series, then explain how you found them. The other times you will be given a sentence with some information, based on that sentence you will have to write a conjecture.

Inductive Reasoning Coming to a conclusion or making a prediction based on a pattern you observe.

Conjecture A conclusion reached by using inductive reasoning or to come to a conclusion based on incomplete information.

Example:

// " //Every time you eat shrimp, you get cramps. Therefore you get cramps because you eat shrimp.//"//

//Example: //

// " //Midbsdkhail is from Russia and Russians are tall, therefore Midbsdkhail is tall.//"//

//Example: //

// " //Bob plays soccer, therefore bob likes soccer.//"//

//Example: //

// " //The women in the neighboring apartment has a shrill voice can hear it from outside, therefore the women in the neighboring apartment is loud.//"//

Example:

1 + 3 = 4 1 + 3 + 5 = 9  1 + 3 + 5 + 7 = 16  1 + 3 + 5 + 7 + 9 = 25

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Practice:

1)1,3,5,7... Find the next three numbers in the series then explain how you found them.  2)-1,2,0,3,1...  Find the next three numbers in the series then explain how you found them. 3)1/2,1/4,1/8,1/16... Find the next three numbers in the series then explain how you found them.  4) -1,2,-4,8... Find the next three numbers in the series then explain how you found them.

What can you conclude: 1) The boys basketball team is short, I am on the boys basketball team. 2)Honors kids are smart, James is not in honors classes. 3)If we get over 8 in. of snow school is closed, last night we received 6in.