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Lesson 2-1

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Lesson 2-1

Inductive Reasoning and Conjecture

- Establish the validity of conjectures about geometric objects, their properties and relationships by counter-example, inductive and deductive reasoning, and critiquing arguments made by others.

- Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof.

- Generalize and explain patterns and sequences in order to find the next term and the nth term.

- An educated guess based on known information

- Reasoning that uses a number of specific examples to arrive at a plausible generalization or prediction

2, 4, 12, 48, 240

- A false example to show that a conjecture is not true

Given: x is an integer.

Conjecture: -x is negative.

Given: WXYZ is a rectangle.

Conjecture: WX = YZ and WZ = XY