Alg7: Algebraic Logic

Version 1, changed by LFS. 04/11/2007.   Show version history

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Standards for Algebra 1

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Alg7.0 Algebraic Logic
	Students …
1AL 7.1	Identify and use the arithmetic properties of subsets of integers and rational, irrational, and real numbers, including closure properties for the four basic arithmetic operations where applicable.
1AL 7.2	Use and know simple aspects of a logical argument: Explain the difference between inductive and deductive reasoning and identify and provide examples of each. Identify the hypothesis and conclusion in logical deduction. Use counterexamples to show that an assertion is false and recognize that a single counterexample is sufficient to refute an assertion.
1AL 7.3	Use properties of the number system to judge the validity of results, to justify each step of a procedure, and to prove or disprove statements: Use properties of numbers to construct simple, valid arguments (direct and indirect) for, or formulate counterexamples to, claimed assertions. Judge the validity of an argument according to whether the properties of the real number system and the order of operations have been applied correctly at each step. Determine whether the statement is true sometimes, always, or never, given a specific algebraic statement involving linear, quadratic, or absolute value expressions or equations or inequalities.

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