1. Do Now
Determine how a conclusion was made (by observing a pattern, facts being provided, something that is repeated, etc.)
1. Every time Katie has worn her favorite socks to a softball game, she has gotten at least one hit. Katie is wearing her favorite socks to a game tonight, so she concludes that she will get at least one hit.
2. If John is late making his car insurance payment, he will be assessed a late fee of $50. John’s payment is late this month, so he concludes that he will be assessed a late fee of $50.

2. Deductive Reasoning
A reasoning that is based on facts, rules, definitions, or properties to reach a logical conclusion from given statements/information.
What is inductive reasoning based on?

3. Compare/Contrast
Compare and contrast inductive and deductive reasoning with your group.
Be ready to share your answers with the class.

4. Compare/Contrast

5. Law of Detachment
Based on the given information, what conclusion, if any, can be drawn.
1. Given: If a car is out of gas, then it will not start.
Sarah’s car is out of gas.
Conclusion:
2. Given: If two angles form a linear pair, then their noncommon sides are opposite rays.
∠AED and ∠AEB form a linear pair

6. Law of Detachment
If p → q is a true statement and p is true, then q is true.
p is your hypothesis
q is your conclusion (of the true conditional)

7. Law of Detachment
Based on the given information, what conclusion, if any, can be drawn.
1. Given: If a car is out of gas, then it will not start.
Sarah’s car is out of gas.
Conclusion: Sarah’s car will not start.
2. Given: If two angles form a linear pair, then their noncommon sides are opposite rays.
∠AED and ∠AEB form a linear pair
Conclusion: ED and EB are opposite rays.