Inductive and Deductive Reasoning. Inductive Observing the data, recognizing a pattern and making generalizations Do you see a pattern Can you describe.

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Presentation transcript:

Inductive and Deductive Reasoning

Inductive Observing the data, recognizing a pattern and making generalizations Do you see a pattern Can you describe what the pattern is Can you find the next consecutive terms Inductive is to discover property

Example Pattern is they go up by 2 Next numbers in sequence are 10,12,14 The term order as the x value and the actual number as the y value 2,4,6,8,… 1 st term is 2 2 nd term is 4 3 rd term is 6 4 th term is 8

Deductive Show certain statements follow logically from agreed upon assumptions Proven Facts Solve an equation write the reason for each step Deductive is to explain why

Solve the equation for x. Give a reason for each step in the process. 3(2x + 1) + 2(2x + 1) + 7 = 42 − 5x

Homework Pg 99 3,7,11,15 Pg