FRIDAY, OCTOBER 7
WARM­UP:
WHICH STATEMENT HAS THE SAME MEANING AS THE GIVEN STATEMENT?
GIVEN: YOU CAN GO TO THE MOVIE AFTER YOU DO YOUR HOMEWORK.
A) IF YOU DO YOUR HOMEWORK, THEN YOU CAN GO TO THE MOVIE AFTERWARDS.
B) IF YOU DO NOT DO YOUR HOMEWORK, THEN YOU CAN GO THE MOVIE AFTERWARDS.
C) IF YOU CANNOT GO TO THE MOVIE AFTERWARDS, THEN DO YOU HOMEWORK.
D) IF YOU ARE GOING TO THE MOVIE AFTERWARDS, THEN DO NOT DO YOUR HOMEWORK.
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2.3 APPLY DEDUCTIVE REASONING
DEDUCTIVE REASONING USES FACTS, DEFINITIONS, ACCEPTED PROPERTIES, AND THE LAWS OF LOGIC TO FORM A LOGICAL ARGUMENT. THIS IS DIFFERENT FROM INDUCTIVE REASONING WHICH USES SPECIFIC EXAMPLES AND PATTERNS TO FORM A CONJECTURE.
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LAW OF SYLLOGISM
IF HYPOTHESIS P, THEN CONCLUSION Q. IF HYPOTHESIS Q, THEN CONCLUSION R. IF HYPOTHESIS P, THEN CONCLUSION R.
IF THE FIRST TWO STATEMENTS ARE TRUE, THEN THE THIRD ONE IS TRUE!!
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EXAMPLE
IF RICK TAKES CHEMISTRY THIS YEAR, THEN JESSE WILL BE RICK'S LAB PARTNER.
IF JESSE IS RICK'S LAB PARTNER, THEN RICK WILL GET AN A IN CHEMISTRY.
WRITE A NEW CONDITIONAL STATEMENT THAT FOLLOWS FROM THE PAIR OF TRUE STATEMENTS.
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IF X2 > 25, THEN X2 > 20.
IF X > 5, THEN X2 > 25.
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IF A POLYGON IS REGULAR, THEN ALL ANGLES IN THE INTERIOR OF THE POLYGON ARE CONGRUENT.
IF A POLYGON IS REGULAR, THEN ALL OF ITS SIDES ARE CONGRUENT.
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IF THE RADIUS OF A CIRCLE IS 4ft, THEN THE DIAMETER IS 8ft. IF THE RADIUS OF A CIRCLE IS 4ft, THEN ITS AREA IS 16ft2.
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IF JOE TAKES GEOMETRY THIS YEAR, THEN HE WILL TAKE ALGEBRA 2 NEXT YEAR. IF JOE TAKES ALGEBRA 2 NEXT YEAR, THEN HE WILL GRADUATE.
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IF Y3 = 8, THEN Y = 2. IF Y = 2, THEN 3Y+4=10.
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Using the Law of Syllogism, state the conclusion. A) If Jenelle gets a job, then she can afford a car. If Jenelle can afford a car, then she will drive to school.
Conclusion: 10
b) If you play a woodwind instrument, then you are a musician.
If you play the clarinet, then you play a woodwind instrument.
Conclusion:
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PROBLEM OF THE WEEK IS DUE ON TUESDAY!
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