Unit 12: Lesson 1 Learning Objectives

Number Sets

• Identify and define counting, natural, whole, integer, rational, irrational, and real numbers.

Understanding Logical Statements

• Identify the hypothesis and conclusion in a logical statement.
• Determine whether mathematical statements involving linear, quadratic, absolute value expressions, equations, or inequalities are always, sometimes, or never true.
• Use counterexamples to show that a statement is false, and recognize that a single counterexample is sufficient.

Inductive Reasoning

• Identify and provide examples of inductive reasoning.

Deductive Reasoning

• Identify and provide examples of deductive reasoning.
• Use properties of numbers to construct simple logical arguments.