Lesson 2-3 Conditional Statements. Ohio Content Standards:

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Presentation transcript:

Lesson 2-3 Conditional Statements

Ohio Content Standards:

Apply mathematical knowledge and skills routinely in other content areas and practical situations.

Ohio Content Standards: Apply reasoning processes and skills to construct logical verifications or counter-examples to test conjectures and to justify and defend algorithms and solutions.

Ohio Content Standards: Use a variety of mathematical representations flexibly and appropriately to organize, record and communicate mathematical ideas.

Ohio Content Standards: Write clearly and coherently about mathematical thinking and ideas.

Conditional Statement

A statement that can be written in if-then form.

If-Then Statement

Written in the form if p, then q.

Hypothesis

The phrase immediately following the word if.

Conclusion

The phrase immediately following the word then.

Identify the hypothesis and conclusion of each statement.

If a polygon has 6 sides, then it is a hexagon.If a polygon has 6 sides, then it is a hexagon.

Identify the hypothesis and conclusion of each statement. If a polygon has 6 sides, then it is a hexagon.If a polygon has 6 sides, then it is a hexagon. Tamika will advance to the next level of play if she completes the maze in her computer game.Tamika will advance to the next level of play if she completes the maze in her computer game.

Identify the hypothesis and conclusion of each statement. Then write the statement in the if- then form.

Distance is positive.Distance is positive.

Identify the hypothesis and conclusion of each statement. Then write the statement in the if- then form. Distance is positive.Distance is positive. A five-sided polygon is a pentagon.A five-sided polygon is a pentagon.

Determine the truth value of the following statement for each set of conditions. If Yukon rests for 10 days, his ankle will heal.

Yukon rests for 10 days, and he still has a hurt ankle.Yukon rests for 10 days, and he still has a hurt ankle.

Determine the truth value of the following statement for each set of conditions. If Yukon rests for 10 days, his ankle will heal. Yukon rests for 3 days, and he still has a hurt ankle.Yukon rests for 3 days, and he still has a hurt ankle.

Determine the truth value of the following statement for each set of conditions. If Yukon rests for 10 days, his ankle will heal. Yukon rests for 10 days, and he does not have a hurt ankle anymore.Yukon rests for 10 days, and he does not have a hurt ankle anymore.

Determine the truth value of the following statement for each set of conditions. If Yukon rests for 10 days, his ankle will heal. Yukon rests for 7 days, and he does not have a hurt ankle anymore.Yukon rests for 7 days, and he does not have a hurt ankle anymore.

Related Conditionals

Statements based on a given conditional statement.

Conditional

Given the hypothesis and conclusion.

Converse

Exchanging the hypothesis and conclusion of the conditional.

Inverse

Negating both the hypothesis and conclusion of the conditional.

Contrapositive

Negating both the hypothesis and conclusion of the converse statement.

Logically Equivalent

Statements with the same truth values.

Write the converse, inverse, and contrapositive of the statement: All squares are rectangles. Determine whether each statement is true or false. If a statement is false, give a counterexample.

Assignment: Pgs evens, evens