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

# 14.8 Conditional Proof and #14.9 Indirect Proofs

# 14.8 Conditional Proofs

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# 14.8 Indirect Proofs

• (1-13) all

# 14.7 Direct Proofs

# 14.7 Direct Proofs

• READ pg. 701, especially the example!!!!
• (1-13) all
• this lesson is a combination of 2 previous lessons: symbolic arguments in a two-column proof format
• Remember, that in a two-column proof, each statement is written in the left-hand column. The reason for each statement is written directly across in the right-hand column.
• we can use a direct proof to show that an argument is valid.
• tomorrow we will talk about 2 other approaches to proving logical arguments: conditional proofs ans indirect proofs

the following is the answer to problem #1 of tonight's HW:

Premises:

P

P ----> Q

Q ----> R

R -----> S

Conclusion: S

Use the above Premises to arrive at the valid conclusion of S by writing a 2-column proof such as the one below:

1. P ----> Q 1. Premise

2. Q ----> R 2. Premise

3. P ----> R 3. 1, 2 LS

4. R ----> S 4. Premise

5. P ----> S 5. 3, 4 LS

6. P 6. Premise

7. therefore S 7. 5, 6 MP

For those who are still confused, below is an explanation of the above proof:

Statements 1 and 2 were given to you. But we write "premise" instead of "given" in the reason column.

Statement 3 was the valid conclusion using Statements 1 and 2. The form of valid reasoning that allows us to make that conclusion is LS. Hence, why I wrote 1", 2 LS" in the Reason column.

Statement 4 is a "premise".

Statement 5 was the valid conclusion from using statements 3 and 4. The valid form of reasoning that allows us to make the 5th statement is LS. So, in the reason column, I wrote " 3, 4 LS".

Statement 6 is a "premise".

Statement 7 was the valid conclusion from using Statements 5 and 6. The valid form of reasoning that allows us to make the 7th statement is MP. Hence, why I wrote " 5, 6 MP" in the reason column.

Pretty easy stuff. Yes, it will get more difficult. Baby steps, guys. Please feel free to post a question should you have any.

2 extra credit points to the first person to post a correct solution and explanation of the solution to problems 2-4.

3 extra credit points to the first person to post a correct solution and explanation of the solution to problems 5-7.

5 extra credit points to the first person to post a correct solution and explanation of the solution to problems 9-13. These require a legend first. Then, you must translate the argument into sympbolic form. Then, you must write a 2-column proof.

maximum of 5 points per student

can't post a solution until 3 p.m.

HAVE FUN!!!!

# 14.5 LS and # 14.6 LC

# 14.5 Law of Syllogism (LS)

• (1-17) all

# 14.6 Law of Contrapositive (LC)

• (1-27) all

Remember to review:

SohCahToa

Area of any triangle formula

Law of Sines

Law of Cosines

Don't forget:

Season Finale of Grey's Anatomy

Season Finale of Prison Break!!!

# 14.3 MP and MT and # 14.4 Symbols of Logic

# 14.3

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# 14.4

• (1-30) all

Don't forget to do something VERY NICE for your mother on Sunday!!!!!

# 13.5 again

If you did not finish # 13.5 last night because you were too busy preparing for today's Similarity Test battle, then you are in luck! I am reassigning # 13.5 for homework.

Let's make it a little more interesting though. I will give 5 extra credit points to the first person who figures out a problem correctly. ***5 points max per student***. To get the 5 extra credit points, you must EXPLAIN your solution like I did for Leo last night for #2. This means #2 is already off the market. No explanation = no extra credit. Once a problem has been explained, the extra credit for that problem is gone. You must do a different problem. However, the problem is NOT off the market until I, msichan, says it is. So, you're best bet is to post a solution even if someone else has already posted one for that problem. He or she could be wrong or the explanation may have some holes in it.

P.S. You can't post a solution for extra credit until 3 p.m. I know Chen and Sherrille have Computer Programming last hour so the 3 pm solution lockout would keep it all fair.

***If, by 8 p.m., all the extra credit has not been handed out, then those of you who already received 5 extra credit points can go for more. However, the second extra credit problem will only be worth 2 points. Good Luck! Have fun! May the best geometrician earn extra credit tonight!

# 13.5 Word Problems involving Trigonometry

# 13. 5

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1st hour results: 8 of you voted to take the test on Thurs. and 13 voted to take the test on Friday

3rd hour votes: 20 of you votes to take the test on Thurs. and 7 voted to take the test on Friday

FINAL TALLY: 28 of you want the test on Thurs., while only 20 of you want the test on Friday.

Therefore, the test will be tomorrow!

Prepare for battle!

# 13.4 Law of Cosines

# 13.4

• (1-15) all
• first hour, we did not get to try Example B where it explains how you use the Law of Cosines to find the measurement of a missing angle. Read Example B on your own and use your calculator to see if you can figure it out yourself. If you know anyone in 3rd hour, we got to Example B in class today. (S)he might be able to explain it to you.

Similarity Test tomorrow!

Practice using real testing conditions tonight!

# 13.1 - # 13.3

# 13.1 SohCahToa! or SohCahToa

• finish whatever problems weren't assigned on Friday

# 13.2 Word Problems involving SohCahToa

• (1-23)

# 13.3 Law of Sines

• (1-16) all

Ch. 12 Pre-Test and # 13.1 SohCahToa

Ch. 12 Pre-Test

• (both pages! I will try to post the answers here sometime this weekend.)

# 13.1

• (1-8) all
• (21, 24, 25, 26)

# 12.6 Proportions with Area and Volume

# 12.6

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• (20-21) all

# 12.7

• Investigations 12.7.1 - 12.7.3
• that's it!

Be forewarned now that you WILL SUFFER the consequences should you not your HW. This implies ALL of your HW, not part of your HW. ALL. (ahem....John, Kuyoung, Justin, Andy,.......)

Reminder:

3rd period - bring in your $ for Chinese food!

1. Andy $5.04
2. Faith - $5.04
3. Juan - $6.62
4. Meghan - $5.67
5. Sherrille - $6.62
6. Roseli - $8.45
7. Jonathan - $7.50
8. Samara $6.62
9. Fabio $6.62
10. Naomi $6.62
11. Melissa $6.62
12. Jonathan $6.62
13. Teryn $5.67
14. Jihye $5.67
15. Anneliese $5.67
16. Anthony $7.56
17. Lindsay $5.67
18. Gabi $7.25
19. Kuyoung $6.30
20. Stephanie $6.30
21. Stephania $7.25
22. Lavaughn $7.25
23. John $7.25
24. Naomi $6.93

Scroll down for tonight's HW assignment!

# 12.5 and # 12.6

# 12.5

• Complete Investigation 12.5.1 and 12.5.2
• (1-15) all

# 12.6

• Complete Investigations 12.6.1 and 12.6.2
• that's it.

# 12.4 Indirect Measurement

# 12.4 Indirect Measurement with Similar Triangles

• (1-12) all

Don't forget to put the theorems to a melody!!!!

I can't wait to hear them tomorrow!

# 12.3 Similar Triangles

# 12.3

• (1-14) all
• (19-20)
• put conjectures 102-104 to music (SSS Similarity, AA Similarity and SAS Similarity)

Don't forget to prepare for Ch. 10 Volume Test tonight!

Set a timer for 1 hour and 25 minutes to see if you can complete the Pre-Test in the real testing conditions of 25 minutes!

Directions for tomorrow's Ch.10 Test:

1. Get an answer sheet from cart when you enter the classroom.
2. Clear desks of EVERYTHING except a pencil. highlighter, & calculator.
3. Either Jenni or the sub will distribute tests as soon as the bell rings. This means you'll want to take care of numbers 1 and 2 above ASAP!
4. You will have the rest of the hour to complete the exam. NO CHEATING! Keep your eyes on your own paper.
5. At 9:00 (1st hour) or 12:20 (third hour), the sub will announce that you have 2 minutes remaining. That means if you need to highlight all your answers, this is the time to do it.
6. At 9:02 (1st hour) or 12:22 (third hour), the sub will say, "STOP. Put your pencils down. You have 10 seconds to pass up your answer sheets up." Anyone still writing after this statement is made will FAIL the exam.
7. After the answer sheets are collected, you will pass up the test booklets. Front row people, please put the test booklets in numerical order with the lowest number on top. Fan the tests like a deck of cards so that the substitute cal see the tst booklet numbers.
8. NO ONE leaves the classroom until the substitute dismisses you.
9. The substitute will NOT dismiss you until ALL test booklets have been accounted for.
10. This is very important to understand because if all test booklets are not accounted for, then the integrity of the test is compromised. If the integrity of the test is compromised, then Ms. Chan will have to write a new test. If Ms. Chan has to write a new test, then she will make it VERY DIFFICULT. If Ms. Chan makes the test VERY DIFFICULT, then many students will not do well. And we don't want that do we? By the way, this whole paragraph is an introduction to logic, Ch. 14.
11. GOOD LUCK tomorrow!