Lesson Plan x Smt2

LESSON PLANSMA NEGERI 1 UNGARAN

TA: 2010/2011LESSON/COURSE : MathematicsCLASS / SEMESTER : X / 2NUMBER OF LESSON : 1 (one)DURATION : 2 x 45’

A. STANDARD OF COMPETENCYSolve problems related to plural statement and quantor statement.

B. BASIC COMPETENCYDetermining the truth value of plural statement and quantor statement.

C. INDICATORS

1. Determiing the truth value of quantor statement.

2. Determining the negation of quantor statement

D. OBJECTIVES1. Students able to determine the the truth value of quantor statement.2. Students able to determine the negation of quantor statement.

E. LEARNING MATERIALS

Math’s logic Statement and its truth value Quantor statement

F. LEARNING ACTIVITIESNO ACTIVITIES TIME METHODS1

2

3

Apperceptions– Teacher gives some questions to

know first the student ability in determining the truth value of a statement.

– Teacher explains the objective of today lesson and inform them the learning strategies.

Main Activities– Students discuss about the

difference of statement and not statement.– Students determine the truth

value of a statement.– Students determine the negation

of a statementClosing– Students make a conclution about

today’s lesson– Teacher gives a quiz.

10’

60’

10’

Ask and answer

InquiryDiscussion

Ask and answer

G. SOURCE/MATERIALS/EQUIPMENTS- Bilingual Mathematics X, Yrama Widya.- Seribu Pena Matematika X, Erlangga.- Guidebook, Grade X, SMAN 1 UNGARAN- LCD, Laptop.

H. EVALUATION- Quiz- Homework

1

I. INSTRUMENT1. Which one of the following sentences are statement? If it is a statement,

determine the truth value!a) 111 is divisible by 3b) 2 is a prime numberc) Soto is deliciousd) Air is liquide) Find the value of x in equation 2x – 3 =1

2. Given an open sentence 3 – 4x = 9, where x is a variable in real number. Find the value of x such that the open sentence be a statement whose truth value:a. trueb. false

3. Determine the negation of the following sentences:a. 100 is divisible by 5b. 7 is an odd numberc. 3 is a factor of 13

Known, Reviewed by, Ungaran, 21 Oktober 2009

Headmistress Facilitator Mathematics Teacher,

Dra. Halimah Ilyas Prof. Dr. Y.L. Sukestiyarno Purwanti Wahyuningsih, S.Pd.

NIP. 195207171979032007

2


TA: 2010/2011LESSON/COURSE : MathematicsCLASS / SEMESTER : X / 2NUMBER OF LESSON : 2 (two)DURATION : 5 x 45’

A. STANDARD OF COMPETENCYSolving problems related to plural statement and quantor statement.

B. BASIC COMPETENCYFinding the truth value of plural statement and quantor statement.

C. INDICATORS1. Determining the truth value of a

compound statement 2. Determining the negation of a

compound statement 3. Determining the negation of

statement: conjunctions, disjunction, implications and biimplication4. Identify the daily statements that

have multiple connections with the statement 5. Identify the relationship between

the implications of the converse, inverse and the contraposition. 6. Determining converse, inverse and

contraposition of implicationsD. OBJECTIVES

1. Students able to determine the truth value of a compound statement.2. Students able to determine the negation of a compound statement.3. Students able to determine the converse, inverse and contraposition of implications


compound statement: The truth value and negation.

a. Conjunctions b. Disjunctionc. Implications d. Biimplikasi

F. LEARNING ACTIVITIES

NO ACTIVITIES TIME METHODS1

2

Apperceptions Students give full attention to what they have

to do in this lesson. Students ask about the previous lesson. Review about statement, open sentence and

negation of a statement. Students grouped in maximum 4 members.Main Activities Students identify the characteristics of

compound statement: conjunction, disjunction and implications

Students formulate the truth value of compound statement conjunctions,

10’

70’

Ask and answer

DiscussionDiscovery learning

3

3

disjunctions and implications with the truth value table

Students determine the truth value of compound statement that is conjunctions, disjunction and implications

Students formulate the negation of the statement of the form of conjunctions, disjunction and implications.

Students identify the daily statements that have connections with the compound statement

Students identify the relationship between the implications and the converse, inverse and the contraposition

Students determine the converse, inverse and the contraposition of implications of the statement.

Closing Students make a summary about today’s

lesson Teacher gives a quiz.

10’ Ask and answer



I. INSTRUMENT

1. Determine the truth value of the following statements:

a. 13 or 17 is divisible by 2 b. 11 is a prime number and 11 is an even number c. If 3 + 2 = 5 then 5 is a prime number d. 0 is mince number if and only if 0 is the natural numbers

2. Let p is a true statement and q is a false statement. Determine the truth value of:

a. q c. p q e. ( q)b. p d. p q

3. Determine the converse, inverse and contraposition of: ( ) r

Known Reviewed by Prepared byPrincipal Facilitator Teacher

Date:…………. Date:…………. Date:………….

Dra. Halimah Ilyas Prof. Dr. Y.L. Sukestiyarno Purwanti Wahyuningsih, S.Pd.

NIP. 195207171979032007

4




B. BASIC COMPETENCY

Create the equivalent statement of plural statement or quantor statement.

C. INDICATORSa. Verifying the equivalence between the two compound statement b. Proving equivalence between the two compound statements c. Make a statement equivalent to the compound statement

D. OBJECTIVES1. Students able to prove the equivalence of two compound statement2. Students able to make a statement equivalent to the compound statement.

E. LEARNING MATERIALS1. Equivalence of two compound statements2. Tautology and contradiction

F. LEARNING ACTIVITIESNO ACTIVITIES TIME METHODS1.

2.

3.

ApperceptionsMotivation of students in accordance with the subject.Main Activities Students identify the form of a compound

statement equivalent (equivalent) Students examine the equality between the

two compound statements With the discussion, students prove

equivalence between the two compound statement with the properties of mathematical logic

Students identify the characteristics of tautology and contradiction statement of the truth value table

Students check whether a compound statement is a tautology or a contradiction or not both


lesson Teacher gives a quiz.

10’

65’

15’

Ask and answer

Discussion

Ask and answer


5


I. INSTRUMENT1. Show that:

a) pb) q p)c) ( q p)

2. Show that the following compound statement is a tautology:a. [(p) p] qb. [(q p ) q] pc. [p (q r)] [(p q) ( p r)]


Date:…………. Date:…………. Date:………….

Dra. Halimah Ilyas Prof. Dr. Y.L. Sukestiyarno Purwanti Wahyuningsih, S.Pd.NIP. 195207171979032007

6


TA: 2010/2011LESSON/COURSE : MathematicsCLASS / SEMESTER : X / 2NUMBER OF LESSON : 2 (two)DURATION : 4 x 45 minutes


B. BASIC COMPETENCYUsing math logic principles of plural statements and quantor statements to solve the problems

C. INDICATORS1. Examining the validity of inferences

using principle of mathematical logic 2. Determining the conclusions from

some premises provided.D. OBJECTIVES

1. Students able to examine the validity of inferences.2. Students able to determine the conclusion from some premises

provided.


Drawing conclusions

1. Ponens Modes2. Tolens modes 3. Syllogism

F. LEARNING ACTIVITIESNO ACTIVITIES TIME METHODS1

2

3

ApperceptionsMotivation of students in accordance with the subjectMain Activities Students identify ways inferences or

conclusions from the few examples given Siswa Merumuskan cara penarikan

kesimpulan berdasarkan implikasi (modus ponens, modus tolens dan silogisme)

Students Formulate the inferences way based on implications (ponens mode, tolens mode and syllogism)

Students examine the validity of inferences

Students develop a valid conclusion based on premises provided

Closing Students make a summary about

today’s lesson Teacher gives a homework and ask

students to open teacher’s web.

10’

65’

10’

Ask and answer

DiscussionDiscovery learning

Ask and answer

G. SOURCE/MATERIALS/EQUIPMENTS

7

- Bilingual Mathematics X, Yrama Widya.- Seribu Pena Matematika X, Erlangga.- Guidebook, Grade X, SMAN 1 UNGARAN- LCD, Laptop.


I. INSTRUMENT

1. Check legitimate or not each the following arguments:

a. If there is sugar, then there are antsThere’s no antsThere’s no sugar

b. If you enter from the left ear, then out through the right ear You out through the rightYou enter from the left ear

2. By using a truth table, check whether any legal or not of following arguments:

a. p q b. p q


Date:…………. Date:…………. Date:………….

Dra. Halimah Ilyas Prof. Dr. Y.L. Sukestiyarno Purwanti Wahyuningsih, S.Pd.NIP. 195207171979032007

8



A. STANDARD OF COMPETENCYUsing the comparison, functions, equations, and trigonometry identities in solving problems.

B. BASIC COMPETENCYAlgebraic manipulation in the calculation of related technical comparisons, function, trigonometric equations and identities

C. INDICATORSDetermining the value of the trigonometric ratio right triangle

D. OBJECTIVESStudents able to determine the value of the trigonometric ratio right triangle


Trigonometry

o Comparison of the triangle trigonometry in right-angled

F. LEARNING ACTIVITIES

NO ACTIVITIES TIME METHODS1

2

3

Apperceptions Motivation of students in accordance with the

subjectMain Activities Students calculate the ratio of the sides of a

right triangle is the angle fixed but different length sides

Students identify the trigonometric ratio in right triangle

Students determine the comparative values of an angle on right triangle


lesson Teacher gives a homework

10’

70’

10’

Ask and answer

DiscussionDiscovery Learning

Ask and answer



9

I. INSTRUMENT1. Calculate :

a. Sin 450 = b. Sin 300 + Cos 450 =c. Sin2 300 + Cos 2 600 =

2. In the graph below = 600, PQ = 20 cm. The length of RS = …

Known Prepared byPrincipal Teacher

Date:…………. Date:………….

Dra. Halimah Ilyas Purwanti Wahyuningsih, S.Pd.NIP. 195207171979032007

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Lesson Plan x Smt2