AGENDA – ALGEBRA 1ASEPT. 3, 2012 (TUESDAY)

Warm-Up Lesson 1.7 - 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 MATHSEPT 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 statementthat 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 theconclusion 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 conditionalstatement 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.