What do you need more work on from the last unit?

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Presentation transcript:

What do you need more work on from the last unit? Warm up! What did you do best on on the test? What do you need more work on from the last unit?

Conditional and Biconditional Statements

Two parts of statements: Hypothesis Conclusion

Conditional statements are seen as IF >> THEN statements Conditional statements are seen as IF >> THEN statements. If (something happens, Hypothesis), then (something else will happen, Conclusion). **THE CONCLUSION MUST ALWAYS HAPPEN AFTER THE HYPOTHESIS**

When I go to Walmart I buy something When I go to Walmart I buy something. Hypothesis: When I go to Walmart Conclusion: I buy something Conditional Statement: If I go to Walmart, then I will buy something.

Form your own Hypothesis and Conclusion Form your own Hypothesis and Conclusion. Write a Conditional statement with this hypothesis and conclusion.

Related Conditional statements: Conditional If hypothesis, then conclusion. Converse If conclusion, them Hypothesis. Inverse If not Hypothesis, then not conclusion. Contrapositive If not Conclusion, then not hypothesis.

Conditional Converse Inverse Contrapositive Angle A = 15 degrees >> angle A is acute Angle A is acute >> Angle A = 15 degrees Angle A ≠ 15 degrees Angle A is not acute Angle A is not acute Angle A ≠ 15 degrees Conditional Converse Inverse Contrapositive

If I am 16, then I am older than 2. EXAMPLE: Conditional: Converse: Inverse: Contrapositive: If I am 16, then I am older than 2.

With a new conditional statement formulate its Converse, Inverse, & Contrapositive statements. Then determine their truths.

Warm up! Write a conditional statement and not the hypothesis and conclusion parts of it

Biconditional statements are seen as If and only if Statements If and only if (something happens), then (something else would happen). They are true with vise versa.

If I brush my teeth, then I woke up If I woke up, then I brush my teeth. If and only if I brush my teeth, then I woke up. This is saying I brush my teeth when I wake up but I do not brush them any other time then when I wake up.

Write a conditional statement and its converse where both are true Write a conditional statement and its converse where both are true. Turn this into a Biconditional statement. What is it saying to be true?

Wrap up! What is the difference between a conditional and Biconditional statement?