1)Asher: create a handout for the week summing up LOGIC
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- Kristina Stevenson
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1 1)Asher: create a handout for the week summing up LOGIC 2)OWN this LESSON...add to it and send by back TUES..(put in common errors from prior weeks based on Daily Exits. tests, you walking around and seeing kids struggle. 3)CPT we should only go THROUGH what you ADDED, what you are PRINTING... 4) SPIRAL and TEst done by tues..make sure you put in Common errors in spiral and test
2 Aim: What is negation, conjunction, and disjunction? gg24-27 Do Now: 1) What is the opposite of "Every student failed the test"? 2) 3) -3x x = 2x - 5
3 what is the first step for all..turn n talk name 2 facts you need to know!
4 What must all do!!! what is critical!! what can't it be? aas
5 what is the question asking? what equation? t p
6 mark up paper b
7 Note...LOGIC... simply states that are true or false. ex.. I am Fat... what word you put to say OPPOSITE I am NOT fat One is TRUE and one is FALSE
8 Negation of a Statement OPPOSITE...and KEY WORD IS NOT 7 is a PRIME number T 7 is NOT a prime number F
9 NEGATION NOTES NEGATION NOT OPPOSITE truth value
10 Ex. How would NEGATE the sentence September 21, 2013
11 TURN N TALK September 21, 2013
12 NOTE: A conjunction joins two statements using the word AND
13 Conclusion: conjunction is only true when BOTH P and Q are true!!
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15 Example: What is the truth value of the statement: Mott Hall V is in the Bronx and NY's capital is the Bronx? TRUE OR FALSE FALSE! With conjunctions (AND), both statements have to be true!!
16 Turn and Talk September 21, 2013
17 NOTE: A disjunction joins two statements using the word OR
18 Conclusion: disjunction is true when P, Q, or both are true!! only 1 has to be true
19 Example: What is the truth value of the statement: Mott Hall V is in the Bronx or NY's capital is the Bronx? TRUE OR FALSE Turn n talk TRUE! With disjunctions (OR) only ONE statement has to be true!!
20 a b c d which is a CONJUCTION
21 This is and the it is TRUE or False Blue is a color or = 10." (T or T = T) Since both facts are true, the entire sentence is true. disjunction but only 1 had to be true.
22 Conjunction or Disjunction..T or F One hour = exactly 55 minutes or one minute = exactly 60 seconds." (F or T = T) Since the second fact is true, the entire sentence is true.
23 SUMMARY... TURN n Talk..how to remember asher PRINT...
24 asher print (find better) September 21, 2013
25 REGENTS 2 minutes
26 REGENTS...(asher print) Label Day 1 handout
27 Summary 2 minutes decide if needed watch.webloc
28 Review: September 21, 2013
29 Task label the corresponding part In your notes: * If and only if*
30 FILL IN BLANKS challenge...why are the triangles not congruent
31 *just like a triangle - name corresponding vertices in the same order
32 DAILY EXIT DRAW
33 Aim: What is a conditional statement and a converse statement?gg 25 DO NOW: 1) What are the cases that make a disjunction true? *If you're stuck - look at yesterday's notes! 2) Create a statement that has a disjunction in it. 3) D A B GIVEN: DB bisects <ADB and AD = DC C Which postulate would you use to prove triangle DAB is congruent to triangle DCB?
34 DRAW September 21, 2013
35 WHAT IS KEY? MARK UP PAPER! September 21, 2013
36 4, 3 September 21, 2013
37 CONJUCTION REVIEW key word is = 6 and all dogs meow. only true if both are Is this TRUE?
38 Given abc = xyz MUST DRAW!
39 Conditional Statements (if, Then) In Your Notes: In a conditional statement, the part following the "if" is the hypothesis, and the part following the "then" is the conclusion. Example: If I am rich, then I give you $1,000. Hypothesis - Conclusion -
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42 2 minute video..maybe September 21, 2013
43 If i do my homework then i get my allowance T T
44 make it a CONDITIONAL...add what September 21, 2013
45 TO BE A CONDITIONAL..THE BLUE BOX WORD HAS TO BE September 21, 2013
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47 TURN THIS INTO A CONDITIONAL STATEMENT
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49 Converse of a statement - Simply switch the hypothesis and the conclusion. Note: the If and Then stay in place. Example: Write the converse of "If I am rich, then I give you $1,000." If I give you $1,000, then I am rich.
50 BRIGHSTORM CONVERSE 3 MINUTES September 21, 2013
51 If two lines are skew, then they are not parallel and do not intersect. September 21, 2013
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53 a. C. d. c.
54 Conditional Statements 1.The correct answer is A.The hypothesis is "It rains," and the conclusion is "I will not play golf." The hypothesis of a conditional is the part that comes after the "If," and the conclusion is the part that comes after the "then." 2.The correct answer is C.The statement "If an animal is a tiger, then it has stripes" is equivalent to the statement "Tigers have stripes." In general, when a sentence states "All X have Y," that is the same as saying "If an object is an X, then it has Y." In this case, the sentence says "animal" instead of "object" because a tiger is an animal, but the truth value is the same. 3.The correct answer is D.The converse of "If the weather is sunny, then I feel better" is "If I feel better, then the weather is sunny." To form the converse of a conditional, reverse the hypothesis and the conclusion. In the given conditional, the hypothesis is "the weather is sunny" and the conclusion is "I feel better." Simply reverse those and make a conditional out of them, and you have the converse. 4.The correct answer is C.The only one of the four given statements that is true and also has a true converse is: "If x 1 = 8, then x = 9." The converse is, "If x = 9, then x 1 = 8," which is always true. The converses of the other three statements are all sometimes true, but not always true. top close windo
55
56 answer in your notebook!
57 Sunday Mexico If you grow, then you eat your veggies If two segments have the same length, then they are congruent If you have a passport, then you can travel from the US to Kenya. Original - true Converse - false If a person is an Olympian, then that person is an athlete If something is a whole number, then it is an integer
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59 COMMON ERRORS September 21, 2013
60 DRAW..ASHER PRINT 3
61 4,2 September 21, 2013
62 DAILY EXIT If I'm playing basketball, then I'm playing a sport. 1) Is this statement true or false? 2) What is the converse? 3) What is the truth value of the converse statement?
63 AIM : What is the inverse, converse, and contrapositive of a statement? DO NOW: G26 1) 3 2) 2 3) True. The first statement is true and the second statement is false. In a disjunction, if either statement is true, the disjunction is true.
64 In Your Notes: Consider A B Its Converse is B *switch order A Its Inverse is -A -B *keep order but negate both statements Its contrapositive is -B -A *switch order and negate both
65 CONVERSE, just switch ORDER To form the converse of the conditional statement, interchange the hypothesis and the conclusion. The converse of "If it rains, then they cancel school" is "If they cancel school, then it rains." do the converse dodo
66 INVERSE, NEGATE BOTH PARTS!!!! To form the inverse of the conditional statement, take the negation of both the hypothesis and the conclusion. The inverse of If it rains, then they cancel school is If it does not rain, then they do not cancel school. TRy...do the inverse. If it snows, they cancel school... if it DOES NOT snow, they DO NO cancel school
67 2 nots cancel each other b
68 FACT: The inverse and converse of a conditional statement are also equivalent statements. EX1 1
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70 3 minute video sums all up September 21, 2013
71 if and only if September 21, 2013
72 REGENTS September 21, 2013
73 MUST Know!! September 21, 2013
74 hint switch and negate..both converse and inverse C H
75 D September 21, 2013
76 d September 21, 2013
77 Write the converse, inverse, and contrapositive of the following conditional statement: "If a dog is barking, then it will not bite" HINT: Original Statement: if (a) then (b) Converse Statement: if (b) then (a) Inverse Statement: if (not a) then (not b) Contrapositive Statement: if (not b) then (not a) Original Statement : If a dog is barking, then it will not bite. Converse Statement: If a dog is not biting, then it will bark. Inverse Statement: If a dog is not barking, then it will bite. Contrapositive Statement: If a dog is biting, then it will not bark.
78 EX2 A EX3 A
79 EX4 HINT: Think about the transitive property! If a = b, and b = c, then a = c.
80 EX5 September 21, 2013
81 In your notes: asher print
82 4, 2 September 21, 2013
83 3 September 21, 2013
84 both 4 September 21, 2013
85 b,,,,d September 21, 2013
86
87 TAKE 5 MINUTES IN BACK OF NOTEBOOK OR SEPARATE SECTION WRITE what u know... conjuction contrapostive disjuction put the 5 ways inverse proving triangle converse congruent negate
88 Daily Exit If today is Wednesday, then Ms. Harris is available after school for extra help. Write the converse, inverse, and contrapositive of the conditional statement.
89 AIM: What have we learned this week?? DO NOW: Write the truth value. 1) It's Thursday and the month is January. 2) It's Thursday or the month is January. Write the converse, inverse, and contrapositive. 3) If it's after 4 then Price is home with his daughter.
90 QUIZ 1 (link) QUIZ 2 ANGLES REVIEW QUIZ
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92 conditional (if,then)
93 regents review 1
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95 NOTE BOOK- create cheat sheet different notebook or separate section end of period... what u know what u don't know model problem...from day... do it again... ex...ssa no..aas 140 x 65 COUNTS AS TEST GRADE
96 Applying CPCTC 4)
97 Negation, Conjunction, and Disjunction 5) What is the negation and truth value of, "4 is an odd integer."? 4 is not odd - true 6) The statement x is not the square of an integer and x is a multiple of 3 is true when x is equal to a) 9 b) 18 b) 18 c) 32 d) 36 7) Abdiel says, The number I am thinking of is divisible by 2 or is divisible by 3. Mary s statement is false if the number she is thinking of is a) 6 b) 8 c) 11 c) 11 d) 15
98 Review of Properties Match the Property with it's rule (30 seconds on your own) 8) Reflexive iii 9) Symmetric i 10) Transitive i) If a = b, then b = a ii) If a = b and b = c, then a = c iii) a = a ii
99 REGENTS 11) 4
100 Converse, Inverse, and Contrapositive 12) What is the converse of, "If it is Sunday, then I do not go to school"? If I do not go to school, then it is Sunday 13) What is the inverse of the statement If it is sunny, I will play baseball? If it is not sunny, I will not play baseball 14) What is the contrapositive of, "If I am tall, then I will bump my head"? If I do not bump my head, then I am not tall
101 REGENTS 15) 3 Recall: The contrapositive of a statement is the logical equivalent (and has the same truth value)
102 What do we know about logic?1 2) state how the triangles are congruent?
103 what do we know so far? 1) converse of if i am an idiot, then i am not smart? 2) if y= 2x and x = 80 find x 3)castle learn.did u sign on
104 what can you conclude September 21, 2013
105 b September 21, 2013
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107 state how the angles are congruent September 21, 2013
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109 why congruent? September 21, 2013
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112 does it prove lines are parallel September 21, 2013
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