Conditional Statements and Their Converses

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Presentation transcript:

Conditional Statements and Their Converses Lesson 1-4 Conditional Statements and Their Converses

Ohio Content Standards:

Ohio Content Standards: Apply mathematical knowledge and skills routinely in other content areas and practical situations. 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. Write clearly and coherently about mathematical thinking and ideas.

Vocabulary:

Vocabulary: If-then statements -

Vocabulary: If-then statements – join two statements based on a condition “If” this, “then” that.

Conditional Statements- Vocabulary: Conditional Statements-

Conditional Statements- another name for if-then statements Vocabulary: Conditional Statements- another name for if-then statements

Vocabulary: Hypothesis-

Hypothesis- the part of the conditional statement following “if” Vocabulary: Hypothesis- the part of the conditional statement following “if”

Vocabulary: Conclusion-

Conclusion- part of the conditional statement following “then” Vocabulary: Conclusion- part of the conditional statement following “then”

Identify the hypothesis and conclusion in this statement:

Identify the hypothesis and conclusion in this statement: If it is raining, then we will read a book.

Write two other forms of this statement:

Write two other forms of this statement: If two lines are parallel, then they never intersect.

Vocabulary:

Vocabulary: Converse-

Vocabulary: Converse- a conditional statement formed by exchanging the hypothesis and conclusion

Write the converse of this statement:

Write the converse of this statement: If today is Saturday, then there is no school.

Write the following statement in if-then form:

Write the following statement in if-then form: Every member of the jazz band must attend the rehearsal on Saturday.

Homework: Pgs. 26 - 28 2 - 26 evens, 32 - 37 all