Summer's almost over.....

Summer's almost over!!!! Waaaaaaaaaaaaaaaaaaaaaaaa!

Alas, the end is near. I know. I know. You're all excited for a new school year to begin. No need to hide your enthusiasm. Let it out. You're allowed to say how happy you are. Let the games begin!!!!

Seriously, I hope y'all had an amazing summer. If nothing else, I hope it was relaxing. I'd love to hear about it so if you're like Andy (Hi Andy!) and still checking in here, please feel free to share. Why? Because sharing is caring!

I love y'all!

Ms. Chan

See what others think about the teachers at Flanagan H.S. Leave a rating of your own! Go to:

ratemyteachers.com

Don't forget to leave a random thought message in the posting below.

CONGRATULATIONS, 3RD HOUR!

You're finished! No more school for 2 months! Wahooooo! Hellooooooo, summer! Here I come!

Hope you enjoyed my goodbye letter. It's been a real pleasure being your teacher. Have a PG-13 summer. Be safe. Be smart.

Please feel free to leave any random thoughts you might have as we all say good0bye to the 05-06 school year.....

P.S. Come on, Chen....I'm counting on you to beat Sherrille...... lol!

CONGRATULATIONS, 1st HOUR!

Hip! Hip! Hooray! You're done! Give yourselves a pat on the back. You survived The Chan. It wasn't so hard, was it?

I hope you enjoyed the inspirational stories I gave you in my letter today. It's been a semester of ups and downs. Take care of yourselves. I'm proud of you guys. Keep in touch through e-mail if you'd like. Stay safe during the Hurricane season.

Please feel free to express any final, random PG-13 thoughts here as we all drift off into our wonderfully, relaxing PG-13 summers.....

Remember to bring:

1. 2 sharpened #2 pencils
2. calculator
3. reference sheet with your name in the upper right hand corner
4. don't forget to be there by 7:20 a.m. if you want 15 extra minutes on your FINAL EXAM

GOOD LUCK!

HAPPY PRACTICING TONIGHT!

Remember...

• tomorrow is the LAST day to return your books without consequences (obligation form, no notes on FINAL EXAM day, and 10 points off!)
• your edible geometrical shapes
• signed interim
• Dear Student Letter

REMINDER!!!!

YOU MAY BRING YOUR BOOKS IN ON MONDAY IF YOU WISH.

TUESDAY IS THE LAST DAY I WILL ACCEPT THEM BEFORE TURNING AN OBLIGATION IN ON YOU.

YOU SHOULD HAVE BEGUN CREATING YOUR REFRENCE SHEET THIS WEEKEND!

DO NOT WAIT UNTIL THE LAST MINUTE TO DO THIS.

YOU'LL BE SORRY.

TRUST ME.

I WOULDN'T LIE TO YOU.

PROCRASTINATION = VERY BAD FINAL EXAM GRADE

HOPE EVERYONE HAD A NICE WEEKEND.

P.S.

REVIEW YOUR TRIGONOMETRY STUFF.

I MIGHT GIVE YOU GUYS ANOTHER QUIZ ON MONDAY SINCE MANY OF YOU DID SO POORLY ON THE FIRST ONE.

# 14.10 Review

# 14.10 Review

The following are the answers to the review:

1. d
2. j
3. k
4. g
5. h
6. i
7. a
8. b
9. c
10. f
11. e
12. m
13. P ---> Q
14. R ----> `P
15. `S ---> `T
16. ` (`S ---> r)
17. If students are smart, then they will study.
18. If teachers do not make mistakes, then they are not human.
19. If students make mistakes, then they are smart.
20. If students do not make mistakes, then they are not smart.
21. Premises: (`Q ---> P) ---> `R, T ----> S, `R ---> `S, T Conclusion: ` (`P ---> Q) Proof:

1. `P ---> Q assume the opposite of the conclusion

2. `Q ---> P 1, LC

3. (`Q ---> P) ---> `R premise

4. `R 2, 3 MP

5. `R ---> `S premise

6. `S 4,5 MP

7. T ----> S premise

8. T premise

9. S 7, 8 MP

But lines 6 and 7 contradict e/o. Therefore, `P ---> Q, the assumption is false. Therefore, ` (`P ---> Q).

22. Premises: ` P ---> (Q ---> `W), `S ---> Q, `T, P ---> T, COnculsion: W ---> S

Proof:

1. W assume the antecedent

2. ` T premise

3. p ---> T premise

4. `P 2, 3 MT

5. `P ---> (Q ---> `W) premise

6. Q ---> `W 4,5 MP

7. `S ---> Q premise

8. `S ---> `W 6, 7 LS

9. S 1, 8 MT

Assuming W is true, the truth of S is established. Therefore, W ---> S.

23. Premises: (P --->Q) ---> (R--->S), (`S--->`R) --->T

CONCLUSION: `T--->`(P--->Q)

PROOF:

1. `T ASSUME THE ANTECEDENT

2.(`S---?R) ---> T PREMISE

3. `(`S--->`R) 1,2 MT

4.`(R--->S) 3, LC

5. (P---->Q)--->(R---->S) PREMISE

6.`(P---->Q) 4,5 MT

ASSUMING `T IS TRUE, THE TRUTH OF `(P--->Q) IS ESTABLISHED. THEREFORE, `T--->`(P--->Q)

24. PREMISES: R--->(Q--->S), S--->P, Q--->`P, Q

CONCLUSION: `R

PROOF:

1. R ASSUME THE ANTECEDENT

2. R--->(Q--->S) PREMISE

3.Q---->S 1,2 MP

4.Q PREMISE

5. S 3,4 MP

6. S---->P PREMISE

7. P 5,6 MP

8. Q---->`P PREMISE

9. `Q 7, 8 MT

ASSUMING R IS TRUE, `Q IS TRUE, WHICH IS A CONTRADICTION. THEREFORE, `R.

25. ANSWERS WILL VARY. THE ARGUMENT IS VALID BY MP AND LS. HOWEVER, IT MAY BE ARGUED THAT THE PREMISES ARE NOT VALID AND THAT AN ARGUMENT IS ONLY AS SOUND AS THE PREMISES ON WHICH IT IS BASED.

26. LET S: SHERLOCK HOLMES WILL BE SUCCESSFUL.

LET P: PROFESSOR MORIARITY WILL BE APPREHENDED.

LET W: DR. WATSON SLIPS UP.

LET L: SHERLOCK HOLMES WILL LOCATE THE MISSING CLUE.

PREMISES: S--->P, `W--->L, L--->S, `W, CONCLUSION: P

PROOF:

1. `W--->L PREMISE

2. L---> S PREMISE

3. `W---> S 1, 2 LS

4. S ----> P PREMISE

5. `W---> P 3, 4 LS

6. ` W PREMISE

7. P 5, 6 MP