AGENDA – ALGEBRA 1A SEPT. 3, 2012 (TUESDAY)  Warm-Up  Lesson 1.7 - Logical Reasoning and Counterexamples  Objectives – Identify the hypothesis and conclusion.

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AGENDA – ALGEBRA 1A SEPT. 3, 2012 (TUESDAY)  Warm-Up  Lesson Logical Reasoning and Counterexamples  Objectives – Identify the hypothesis and conclusion in a conditional statement. – Use a counterexample to show that an assertion is false.  Standards 24, 24.2, 24.3

AGENDA – ESS STAND MATH SEPT 3, 2012 (TUESDAY)  Examples  CW #7 – Practice 1.7  HW #5 – Check your Understanding (1-14) page 42 of the textbook

VOCABULARY  conditional statement  hypothesis  conclusion  deductive reasoning  counterexample

If the oil smokes, then it is too hot. Conditional statement Conditional statement - a statement that can be written in if-then form. If the oil smokes, then it is too hot.

hypothesis Hypothesis – the part of the statement immediately following if. If the oil smokes, then it is too hot. conclusion Conclusion – the part of the statement immediately following then.

Example 1: Identify the hypothesis and the conclusion of each statement. 1. If it is a Friday, then Ofelia and Miguel are going to the movies. 2. If 4x + 3 >27, then x > 6.

Example 2: Writing a conditional statement in If-then form. 1. I will go to the ball game with you on Saturday. 2. Brianna wears goggles when she is swimming.

Deductive reasoning – the process of using facts, rules, definitions, or properties to reach a valid conclusion. Example: Determine a valid conclusion that follows from the statement below for each condition. If the valid conclusion does not follow, write no valid conclusion. “ If two numbers are odd, then their sum is even.”

1. If two numbers are odd, then their sum is even. a. The two numbers are 7 and 3. Conclusion: b. The sum of two numbers is 14. Conclusion:

2. There will be a quiz every Wednesday. a. It is Wednesday. Conclusion: b. It is Tuesday. Conclusion:

Counterexample – a specific case in which the hypothesis is true and the conclusion is false.