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LESSON PLANSMA NEGERI 1 UNGARAN
TA: 2011/2012LESSON/COURSE : MathematicsCLASS / SEMESTER : X / I
NUMBER OF LESSON : 1 (one)DURATION : 2 x 45
A. STANDARD OF COMPETENCYSolving problems related to exponents, radicals and logarithms.
B. BASIC COMPETENCYUsing exponent, radical and logarithms properties.
C. INDICATORS1. To Change the positive exponents into negative exponents and vice versa.2. To Change the radical into exponent form and vice versa.
D. OBJECTIVES1. Students able to Change the positive exponents into negative exponents andvice versa.2. Students able to Change the radical into exponent and vice versa.
E. LEARNING MATERIALSExponent, radical and logarithm ExponentDefinition:
an is read as a power n. Where , n . The properties of exponent:1. 2. 3. () 4. () 5.
F. LEARNING ACTIVITIES
NO ACTIVITIES TIME METHODS
1
2
3
ApperceptionsTeacher gives motivation about the applicationof exponent in daily life.Main Activities Teacher ask student about the definition of
exponent, the have learned in Junior HighSchool. (Elaboration)
Teacher asks students to give examples.
By using the definition, teacher guidesstudents in discussion to find the propertiesof exponents. (Exploration)
Teacher asks students to give examples. Students do some problems related to
integer exponents. (confirmation)Closing Students make a summary about todays
lesson
10
65
15
Ask andanswer
Discussion,inquiry
Ask andanswer
n times
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Teacher gives a quiz.
G. SOURCE/MATERIALS/EQUIPMENTS- Bilingual Mathematics X, Yrama Widya.- Mathematics Bilingual grade X, Yudhistira.
- Guidebook, Grade X, SMAN 1 UNGARAN- LCD, Laptop.
H. EVALUATION- Quiz- Homework
I. INSTRUMENT1. Write down the following forms without brackets
a.
d.
g. ()b. e.
h. ()
c.
f. (ab)4 i. ()2. Calculate the quotient!
a. () ()b. () ()c. ( ) ()
3. Calculate the product!
a. () d. ( ) ( )
b.
()
e.(
) ( )
c. () ()4. Write down into scientific notation!
a. 82.000.000 : 500 d. 5000 : 20b. e. ( )c.
5. 1 automic mass unit (amu) is kg. What is the mass of 15.000.000atoms of Carbon (in kg) if the mass of 1 atom of carbon is 12,0 amu?
Known Prepared by
Principal Teacher
Date:. Date:.Dra. Halimah Ilyas Purwanti Wahyuningsih, S.Pd.NIP. 195207171979032007
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LESSON PLANSMA NEGERI 1 UNGARAN
TA: 2011/2012LESSON/COURSE : MathematicsCLASS / SEMESTER : X / I
NUMBER OF LESSON : 2 (two)DURATION : 5 x 45
A. STANDARD OF COMPETENCYSolving problems related to exponents, radicals and logarithms.
B. BASIC COMPETENCYUsing exponent, radical and logarithms properties.
C. INDICATORS Doing algebraic operation in exponent and radical.
Simplify the algebraic form including rasional exponents. Rationalize the radical.
D. OBJECTIVES1. Students able to simplify an algebraic form containing rational exponent andradical.2. Students able to rationalize the radicals.
E. LEARNING MATERIALSExponent, radical and logarithm Radical
Simplifying a radical
Example:
The properties of radical:
1. ( )2. 3.
F. LEARNING ACTIVITIESLesson 1
NO ACTIVITIES TIME METHODS
1
2
Apperceptions Students give full attention to what they have
to do in this lesson. Students ask about the previous lesson.
Review about rational and irrational number.
Students grouped in maximum 4 members.Main Activities
Students notice the presentation aboutradicals. (Ellaboration)
10
65
Ask andanswer
Discussion
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3
Students discuss about teacherspresentation in a small group. (Exploration)
Students do some problems containingradicals. (Confirmation)
Closing
Students make a summary about todays
lesson Teacher gives a quiz.
15 Ask and
answer
Lesson 2
NO ACTIVITIES TIME METHODS
1
2
3
Apperceptions Students give full attention to what they have
to do in this lesson. Students ask about the previous lesson.
Review about radicals.
Students grouped in maximum 4 members.Main Activities Students notice the presentation about
rationalizing the radicals denominator. Students discuss about teachers
presentation in a small group. Students do some problems about
rationalizing the denominator.Closing Students make a summary about todays
lesson
Teacher gives a quiz.
10
65
15
Ask andanswer
Discussion
Ask andanswer
G. SOURCE/MATERIALS/EQUIPMENTS- Bilingual Mathematics X, Yrama Widya.- Mathematics Bilingual grade X, Yudhistira.- Guidebook, Grade X, SMAN 1 UNGARAN- LCD, Laptop.
H. EVALUATION- Quiz- Homework
I. INSTRUMENT1. Which one of the following are radicals (bentuk akar).
a. d. g. b. e. h. c. f.
2. Diketahui segitiga siku-siku ABC, siku-siku di B. jika diketahui sisi-sisi A dan C,maka tentukan panjang sisi B! Manakah nilai dari B yang merupakan bentuk akar?a. a = 3 dan c = 5b. a = 5 dan c = 12c. a = 16 dan c = 12
3. Change into the form of where a,b Z!a. 0,444444b. 0,212121c. 0,234234d. 2,636363
4. Simplify:
a. +5+4 d. 2-4+5+b. -+ e. 2-2+4
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c. +
+ f. 10-2-5. Simplify:
a. e. b.
f.
(3-2)
c. (7-1) g. (+)(-)d.(8+2) h. (-)(+)
6. Simplify:
a. d. b. e. c. f.
7. If p= and q= , Simplify!a. 3p+ 3q c. p . qb. 5p 5q d. -
8. Calculate the area of a square which has the following side!
a. ( ) meters b. (3+) meters9. Rationalize the denominators
a.
d.
b.
e.
c. f. Known Prepared byPrincipal Teacher
Date:. Date:.Dra. Halimah Ilyas Purwanti Wahyuningsih, S.Pd.NIP. 195207171979032007
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LESSON PLANSMA NEGERI 1 UNGARAN
TA: 2011/2012LESSON/COURSE : MathematicsCLASS / SEMESTER : X / I
NUMBER OF LESSON : 2 (two)DURATION : 4 x 45
A. STANDARD OF COMPETENCYSolving problems related to exponents, radicals and logarithms.
B. BASIC COMPETENCYUsing exponent, radical and logarithms properties.
C. INDICATORS To Change the exponent form into logarithm form and vice versa.
Doing algebraic operation in logarithm forms.D. OBJECTIVES
1. Students able to Change the exponent form into logarithm form and vice versa.2. Students able to do some algebraic operation in logarithm forms.
E. LEARNING MATERIALSExponent, radical and logarithm Logarithm
F. LEARNING ACTIVITIES
NO ACTIVITIES TIME METHODS
1.
2.
3.
Apperceptions
Students review about the exponent forms.Main Activities
Students in understanding about exponents,radical and logarithm and the relationship ofthem.
Students define the logarithms form. Students do some operation about
exponents, radical and logarithm and therelationship one another.
Applying the formula of logarithm. Students do some problems containing
radicals.Closing Students make a summary about todays
lesson Teacher gives a quiz.
10
65
15
Ask and
answer
Discussion
Ask and
answer
G. SOURCE/MATERIALS/EQUIPMENTS- Bilingual Mathematics X, Yrama Widya.- Mathematics Bilingual grade X, Yudhistira.- Guidebook, Grade X, SMAN 1 UNGARAN- LCD, Laptop.
H. EVALUATION- Quiz- Homework
I. INSTRUMENT1. Simplify and calculate the value!
a. 2 - 2. 2log d. log 8 + log 5 + log 25
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b. 2log 48 + 2log 272log 45 e.
+
+log 5c. 2log 21 + 2log 302log 9 + 2log 50 3 . 2log 5 f. 0,2log 8 . 7log 25 . 4log 49
g.log 25 . log 81 . 4log 32
2. Given 2log 3 = p. Find!
a. 9log 8 c. 4log b. 4log 12 d. 6log 27
3. Calculate
!4. Calculate the value of x:
a. 2log x = -2 2log d.
5log (x + 3) = 5log (xn + 3)
b. 3log (x + 1) = 2log 81 e. xlog (x + 12) 3 xlog 4+1= 0,x = 1,x-0
c. log (x + 12) = log x + log 4 f. xlog 16 3.xlog 4 + .xlog 64 = 6.3log(3x+1).5log 3
Known Prepared byPrincipal Teacher
Date:. Date:.Dra. Halimah Ilyas Purwanti Wahyuningsih, S.Pd.NIP. 195207171979032007
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LESSON PLANSMA NEGERI 1 UNGARAN
TA: 2011/2012LESSON/COURSE : MathematicsCLASS / SEMESTER : X / I
NUMBER OF LESSON : 2 (two)DURATION : 4 x 45
A. STANDARD OF COMPETENCYSolving problems related to exponents, radicals and logarithms.
B. BASIC COMPETENCYDoing algebraic manipulation in calculating exponent, radical and logarithm.
C. INDICATORS Simplifying algebraic form containing exponent, root and logarithm.
Proving the simple laws of exponent, root and logarithm.
D. OBJECTIVES1. Students able to Simplify algebraic form containing exponent, root and logarithm.2. Students able to do some algebraic operation in exponents, radicals and
logarithm forms.
E. LEARNING MATERIALSExponent, radical and logarithm
F. LEARNING ACTIVITIES
NO ACTIVITIES TIME METHODS
1.
2.
3.
Apperceptions Students do their homeworks in white board.Main Activities
Students apply the formulas of exponent. Students apply the formulas of radicals. Students apply the formulas of logarithms.Closing Students make a summary Teacher gives a homework
10
65
15
Discussion
Discussion
Ask andanswer
G. SOURCE/MATERIALS/EQUIPMENTS
- Bilingual Mathematics X, Yrama Widya.- Mathematics Bilingual grade X, Yudhistira.- Guidebook, Grade X, SMAN 1 UNGARAN- LCD, Laptop.
H. EVALUATION- Quiz- Homework
I. INSTRUMENT1. Calculate the value of:
a. 52 3x3
b. 523 c. 42 2:2
d. )6x6( 34
e. 342 5:)5(
2. Simplify :
a. ba4xba2 268
b. 3
42
yx2
yx8
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3. Calculate the value of :
a. 23
2
1
3
2
251627
b.3
1
4
52
3
8
116
4
1
4. Simplify:
a.
75723
b. 5)3x2(
c. 2)23(
5. Write down in the form of baatauba
a. 1829
b. 569
6. Rasionalize the denominator:
a.2
2c.
3
32
b.2-5
2d.
75
75
7. Simplify :
a. 4518025
b. 120x33x52
c. 635
8. Simplify and find the value :
a.
.........5log-2log36log-10log 3333
b. ...........5log4log
110log
4
8
4
c. ..........24
1log
3
1log
4
1log 222
9. Calculate the value :a. 2
32
13
2
251627
b.3
1
453
2
8
115
4
1
Known Prepared byPrincipal Teacher
Date:. Date:.Dra. Halimah Ilyas Purwanti Wahyuningsih, S.Pd.NIP. 195207171979032007
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LESSON PLANSMA NEGERI 1 UNGARAN
TA: 2011/2012LESSON/COURSE : MathematicsCLASS / SEMESTER : X / I
NUMBER OF LESSON : 1 (one)DURATION : 2 x 45
A. STANDARD OF COMPETENCYSolving problems related with function, quadratic equation, quadratic function andquadratic inequalities.
B. BASIC COMPETENCY2.1 Understanding the concept of function
C. INDICATORS Understanding the diffrence of relation which is function and not function. Identifying kinds and properties of functions.
D. OBJECTIVESStudents able to identify a function.
E. LEARNING MATERIALSQuadratic Equation, Inequalities and function Quadratic Function
o Relation dan Functiono The Kinds and Properties of functions
F. LEARNING ACTIVITIESNO ACTIVITIES TIME METHODS
1 ApperceptionsReview about functions which is learned inJunior high schoolMain Activities
10 Ask andanswer
2. Main Activities Understanding the concept of relation
between two sets by counterexamples. Identifying the relation which is a function. To describe the definition of function.
Identifying the kinds and properties offunction. Describing the caracteristic of function based
on the kinds. Students do some problems related to
function.Closing
65
3. ClosingStudents make a summary about todays lesson
15
G. SOURCE/MATERIALS/EQUIPMENTS- Bilingual Mathematics X, Yrama Widya.
- Mathematics Bilingual grade X, Yudhistira.- Guidebook, Grade X, SMAN 1 UNGARAN- LCD, Laptop.
H. EVALUATION- Quiz- Homework
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I. INSTRUMENTWhich one of the following relations are functions?
a.
b.
c.
d.
e.
Known Prepared byPrincipal Teacher
Date:. Date:.Dra. Halimah Ilyas Purwanti Wahyuningsih, S.Pd.NIP. 195207171979032007
1
2
3
4
a
b
c
>
>
>>
1
2
3
4
a
b
c
d.
>
>
>>
1
2
3
. a
. b
. c
>>
1
2
3
. a
. b
. c
>>
>
1
2
3
. a
. b
. c
. d
>
>
>
>
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LESSON PLANSMA NEGERI 1 UNGARAN
TA: 2011/2012LESSON/COURSE : MathematicsCLASS / SEMESTER : X / I
NUMBER OF LESSON : 2 (two)DURATION : 4 x 45
A. STANDARD OF COMPETENCYSolving problems related with function, quadratic equation, quadratic function andquadratic inequalities.
B. BASIC COMPETENCY2.2 Drawing a graph of a simple algebraic function and quadratic function.
C. INDICATORS
Investigating the caracteristic of the graph of quadratic function from thealgebraic form.
Drawing a graph of quadratic function
D. OBJECTIVESStudents able to draw the graph of a quadratic function.
E. LEARNING MATERIALSQuadratic Equation, Inequalities and function
Quadratic Functiono Making the graph of a simple algebraic functiono Graph of quadratic funtion.o
Determining a positive and negative definit.
F. LEARNING ACTIVITIESLesson 1.
NO ACTIVITIES TIME METHODS
1
2
3
Apperceptions Review about quadratic functions.
Students do their homework in white board.Main Activities Making the graph of a simple algebraic
function (linear, constant function, etc.) usingthe relation of variable and function value.
Students do some problems related tofunction graph.
Closing Students make a summary about todays
lesson Teacher gives a homework
10
70
10
Ask andanswer
Discussion
Ask andanswer
Lesson 2.
NO ACTIVITIES TIME METHODS
1
2
Apperceptions
Review about functionsMain Activities
Determining the value of functions from thesimple quadratic function
Making a geometric interpretation from therelation between variable value and functionvalue of quadratic function.
Drawing a graph of quadratic function usingthe relation between variable value and
10
70
Ask and
answer
Discussion
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3
function value of a quadratic function. Determining axis simetry and extrim point of
from the graph of quadratic funtion. Determining the relation between the simetry
axis and extrim point from the graph of
quadratic function and the coeffisient. Determining the simetry axis and extrim point
of quadratic function graph from the functionformula.
Drawing the graph of quadratic function usinganalysis of the function result.
Identifying a positive and negative definit of aquadratic function from the graph.
Students do some problems related toquadratic function graph.
Identifying a positive and negative definit of a
quadratic function from the graph.Closing Students make a summary about todays
lesson Teacher gives a homework
10Ask andanswer
G. SOURCE/MATERIALS/EQUIPMENTS- Bilingual Mathematics X, Yrama Widya.- Mathematics Bilingual grade X, Yudhistira.- Guidebook, Grade X, SMAN 1 UNGARAN- LCD, Laptop.
H. EVALUATION- Quiz- Homework
I. INSTRUMENT1. Draw the linear function y = 2x + 82. Draw the graph of y = x2 5x + 43. a function f : R R is given as :
2xif,x
2x1-if,1
-1xif1,x
(x)f
2
a) Find the value of f (-2), f (1), f (4) dan f (5)b) Find the zero creator of the function
c) Draw the graph of function for 3x3 4. Draw the graph of :
a. f (x) = x2 6x + 5b. f (x) = - x2 + 2x + 8c. f (x) = x2 2x + 5d. f (x) = - x2 6x 9
5. Draw the graph of :a. f(x) = (x -1)2 + 3b. f(x) = -2 (x-1)2 -3
Known Prepared byPrincipal Teacher
Date:. Date:.Dra. Halimah Ilyas Purwanti Wahyuningsih, S.Pd.NIP. 195207171979032007
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Determining axis simetry and extrim point offrom the graph of quadratic funtion.
Determining the relation between the simetryaxis and extrim point from the graph ofquadratic function and the coeffisient.
Determining the simetry axis and extrim pointof quadratic function graph from the functionformula.
Drawing the graph of quadratic function usinganalysis of the function result.
Identifying a positive and negative definit of aquadratic function from the graph.
Students do some problems related toquadratic function graph.
Identifying a positive and negative definit of aquadratic function from the graph.
Closing Students make a summary about todays
lesson
Teacher gives a homework
10 Ask andanswer
G. SOURCE/MATERIALS/EQUIPMENTS- Bilingual Mathematics X, Yrama Widya.- Mathematics Bilingual grade X, Yudhistira.- Guidebook, Grade X, SMAN 1 UNGARAN- LCD, Laptop.
H. EVALUATION
- Quiz- Homework
I. INSTRUMENT1. Draw the linear function y = 2x + 82. Draw the graph of y = x2 5x + 43. a function f : R R is given as :
2xif,x
2x1-if,1
-1xif1,x
(x)f
2
d) Find the value of f (-2), f (1), f (4) dan f (5)e) Find the zero creator of the function
f) Draw the graph of function for 3x3 4. Draw the graph of :
e. f (x) = x2 6x + 5f. f (x) = - x2 + 2x + 8g. f (x) = x2 2x + 5h. f (x) = - x2 6x 9
5. Draw the graph of :a. f(x) = (x -1)2 + 3b. f(x) = -2 (x-1)2 -3
Known Prepared byPrincipal Teacher
Date:. Date:.Dra. Halimah Ilyas Purwanti Wahyuningsih, S.Pd.NIP. 195207171979032007
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LESSON PLANSMA NEGERI 1 UNGARAN
TA: 2011/2012LESSON/COURSE : MathematicsCLASS / SEMESTER : X / I
NUMBER OF LESSON : 2 (two)DURATION : 4 x 45
A. STANDARD OF COMPETENCYSolving problems related with function, quadratic equation, quadratic function andquadratic inequalities.
B. BASIC COMPETENCY2.3 Using the properties and laws of a quadratic equation and inequalities.
C. INDICATORS
Determining the roots of a quadratic Equation. Determining the solution set of a quadratic inequalities.
D. OBJECTIVESStudents able to find the solution of a quadratic equation and inequalities.
E. LEARNING MATERIALS
Quadratic Equation and Inequalities.o The solution of a quadratic equation.o The solution of a quadratic inequalities.
F. LEARNING ACTIVITIES
Lesson 1.NO ACTIVITIES TIME METHODS
1
2
3
Apperceptions Students do their homework in white board. Review about quadratic equation in SMP.Main Activities
Finding the roots of a quadratic equation byfactoring.
Finding the roots of a quadratic equation byformula.
Students do some problems relatedtoquadratic equation.
Closing Students make a summary about todays
lesson Teacher gives a homework
10
70
10
Ask andanswer
Discussion
Ask andanswer
Lesson 2.
NO ACTIVITIES TIME METHODS
1
2
ApperceptionsReview about quadratic equationMain Activities
Determining the solution of a quadratic
inequalities. Finding the geometric definition of the
solution of quadratic equation andinequalities using the graph of quadraticfunction.
Describing the geometric interpretation of thesolution of a quadratic equation andinequalities.
10
70
Ask andanswer
Discussion
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3 Students do some problems relatedtoquadratic equation.
Closing Students make a summary about todays
lesson Teacher gives a homework
10 Ask andanswer
G. SOURCE/MATERIALS/EQUIPMENTS- Bilingual Mathematics X, Yrama Widya.- Mathematics Bilingual grade X, Yudhistira.- Guidebook, Grade X, SMAN 1 UNGARAN- LCD, Laptop.
H. EVALUATION- Quiz- Homework
I. INSTRUMENT1. Find the solution set of the equation:
a. 4x2 + 7x 2 = 0b. x2 5x + 4 = 0c. x2 5x 6 = 0d. x (x + 2) = 3e. (x + 2)2 + 5 (x + 2) + 6 = 0
2. Find the solution set of the inequalities:a. x2 -2x -3 < 0
b. 12 + x x2 0 c. 3x2 + 7x 6 0
Known Prepared byPrincipal Teacher
Date:. Date:.Dra. Halimah Ilyas Purwanti Wahyuningsih, S.Pd.NIP. 195207171979032007
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LESSON PLANSMA NEGERI 1 UNGARAN
TA: 2011/2012LESSON/COURSE : MathematicsCLASS / SEMESTER : X / I
NUMBER OF LESSON : 2 (two)DURATION : 4 x 45
A. STANDARD OF COMPETENCYSolving problems related with function, quadratic equation, quadratic function andquadratic inequalities.
B. BASIC COMPETENCY2.3 Using the properties and laws of a quadratic equation and inequalities.
C. INDICATORS
Using the sum and product formula of the roots of quadratic equation.
D. OBJECTIVESStudents able to use the sum and product formula of quadratic equation to solveproblems.
E. LEARNING MATERIALSthe sum and product formula of the roots of quadratic equation
F. LEARNING ACTIVITIES
NO ACTIVITIES TIME METHODS
1
2
3
Apperceptions
Students do their homework in white board. Review about the roots of quadratic equation.Main Activities Calculating the sum and product of the roots
from the solution of quadratic equation. Determining the relation between the sum
and product of the roots with the coefficient ofa quadratic equation.
Formulating the relation between the sumand product of the roots with the coefficient ofquadratic equation.
Proving the sum and product formula ofquadratic equation.
Using the roots sum and product formula ofquadratic equation in calculation.
Closing Students make a summary about todays
lesson Teacher gives a homework
10
70
10
Ask and
answer
Discussion
Ask andanswer
G. SOURCE/MATERIALS/EQUIPMENTS- Bilingual Mathematics X, Yrama Widya.- Mathematics Bilingual grade X, Yudhistira.
- Guidebook, Grade X, SMAN 1 UNGARAN- LCD, Laptop.
H. EVALUATION- Quiz- Homework
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I. INSTRUMENTIf x1
and x2 is the roots of quadratic equation x2 + 2x 4 = 0 then find:
1. 21 xx 6.1
2
2
1
x
x
x
x
2. 21 x.x 7. 221221 xxxx
3.21 x
1
x
1 8.
2
2
2
1 x
1
x
1
4.2
2
2
1 xx 9. 1x1x 21 5.
3
2
3
1 xx
Known Prepared byPrincipal Teacher
Date:. Date:.Dra. Halimah Ilyas Purwanti Wahyuningsih, S.Pd.NIP. 195207171979032007
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LESSON PLANSMA NEGERI 1 UNGARAN
TA: 2011/2012LESSON/COURSE : MathematicsCLASS / SEMESTER : X / I
NUMBER OF LESSON : 2 (two)DURATION : 4 x 45
A. STANDARD OF COMPETENCYSolving problems related with function, quadratic equation, quadratic function andquadratic inequalities.
B. BASIC COMPETENCY2.3 Using the properties and laws of a quadratic equation and inequalities.
C. INDICATORSDifferentiating the kinds of the roots of quadratic equation.
D. OBJECTIVESStudents able to identify the roots of quadratic equation.
E. LEARNING MATERIALSKinds of the roots of quadratic equation.
F. LEARNING ACTIVITIES
NO ACTIVITIES TIME METHODS
1
2
3
Apperceptions Students do their homework in white board.
Review about the roots of quadratic equation.Main Activities
Differentiating the kinds of the roots ofquadratic equation by counterexamples.
Identifying the relation the kinds of the rootsand the diskriminan value.
Formulating the relation between the kinds ofthe roots and the diskriminan value.
Investigating the kinds of the roots ofquadratic equation.
Closing Students make a summary about todays
lesson Teacher gives a homework
10
70
10
Ask andanswer
Discussion
Ask and
answer
G. SOURCE/MATERIALS/EQUIPMENTS- Bilingual Mathematics X, Yrama Widya.- Mathematics Bilingual grade X, Yudhistira.- Guidebook, Grade X, SMAN 1 UNGARAN- LCD, Laptop.
H. EVALUATION- Quiz
- Homework
I. INSTRUMENT1. Find its determinant and kind of the roots :
a. 64xx32
b. 9-x12x42
c. 4x4x2
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2. If ax2 + (a+8) x + 9 = 0 has two equal roots, then find the value of a.3. Find the value of p if equation x2 + 2x + p = 0
Known Prepared byPrincipal Teacher
Date:. Date:.Dra. Halimah Ilyas Purwanti Wahyuningsih, S.Pd.NIP. 195207171979032007
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LESSON PLANSMA NEGERI 1 UNGARAN
TA: 2011/2012LESSON/COURSE : MathematicsCLASS / SEMESTER : X / I
NUMBER OF LESSON : 2 (two)DURATION : 4 x 45
A. STANDARD OF COMPETENCYSolving problems related with function, quadratic equation, quadratic function andquadratic inequalities.
B. BASIC COMPETENCY2.3 Using the properties and laws of a quadratic equation and inequalities.
C. INDICATORS
Using the sum and product formula of the roots of quadratic equation.
D. OBJECTIVESStudents able to use the sum and product formula of quadratic equation to solveproblems.
E. LEARNING MATERIALSthe sum and product formula of the roots of quadratic equation
F. LEARNING ACTIVITIES
NO ACTIVITIES TIME METHODS
1
2
3
Apperceptions
Students do their homework in white board. Review about the roots of quadratic equation.Main Activities Calculating the sum and product of the roots
from the solution of quadratic equation. Determining the relation between the sum
and product of the roots with the coefficient ofa quadratic equation.
Formulating the relation between the sumand product of the roots with the coefficient ofquadratic equation.
Proving the sum and product formula ofquadratic equation.
Using the roots sum and product formula ofquadratic equation in calculation.
Closing Students make a summary about todays
lesson Teacher gives a homework
10
70
10
Ask and
answer
Discussion
Ask andanswer
G. SOURCE/MATERIALS/EQUIPMENTS- Bilingual Mathematics X, Yrama Widya.- Mathematics Bilingual grade X, Yudhistira.
- Guidebook, Grade X, SMAN 1 UNGARAN- LCD, Laptop.
H. EVALUATION- Quiz- Homework
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I. INSTRUMENTIf x1
and x2 is the roots of quadratic equation x2 + 2x 4 = 0 then find:
1. 21 xx 6.1
2
2
1
x
x
x
x
2. 21 x.x 7. 221221 xxxx
3.21 x
1
x
1 8.
2
2
2
1 x
1
x
1
4.2
2
2
1 xx 9. 1x1x 21 5.
3
2
3
1 xx
Known Prepared byPrincipal Teacher
Date:. Date:.Dra. Halimah Ilyas Purwanti Wahyuningsih, S.Pd.NIP. 195207171979032007
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LESSON PLANSMA NEGERI 1 UNGARAN
TA: 2011/2012LESSON/COURSE : MathematicsCLASS / SEMESTER : X / I
NUMBER OF LESSON : 2 (two)DURATION : 4 x 45
A. STANDARD OF COMPETENCYSolving problems related with function, quadratic equation, quadratic function andquadratic inequalities.
B. BASIC COMPETENCY2.4 Doing algebraic manipulation in a calculating of a quadratic equation and
inequalities.
C. INDICATORS
Arranging a quadratic equation whose roots are given. Determining the solution of equation which can be formed into quadratic
equation or inequalities.
D. OBJECTIVESStudents able to Arrange a quadratic equation.
E. LEARNING MATERIALS
Arranging a quadratic equation whose roots are given. The solution of other equation related to quadratic equation.
F. LEARNING ACTIVITIESLesson 1
NO ACTIVITIES TIME METHODS
1
2
3
Apperceptions Students do their homework in white board. Review about the roots sum and product
formula of a quadratic equation.Main Activities
Arranging a quadratic equation whose rootsare given.
Arranging a quadratic equation whose rootsare related with the roots of another equation.
Recognizing the equations which can bechanged into quadratic equation.
Solving the equations which can be formedinto quadratic equation or inequalities.
Students do some problems.Closing Students make a summary about todays
lesson Teacher gives a homework
10
70
10
Ask andanswer
Discussion
Ask andanswer
G. SOURCE/MATERIALS/EQUIPMENTS
- Bilingual Mathematics X, Yrama Widya.- Mathematics Bilingual grade X, Yudhistira.- Guidebook, Grade X, SMAN 1 UNGARAN- LCD, Laptop.
H. EVALUATION- Quiz- Homework
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I. INSTRUMENT1. Arrange the quadratic equation whose roots are:
a. 2 dan 5 d. 4-dan2
13
b. 3dan2
1 e. 3dan23
c.4
1dan
3
2
2. If x1 and x2 are roots of quadratic equation 2x2 3x + 4 = 0 then determine the
new quadratic equation whose roots are 5x1 and 5x2.3. Arrange the quadratic equation whose roots are the inverse of quadratic
equation roots : x2 2x + 5 = 0
Known Prepared by
Principal Teacher
Date:. Date:.Dra. Halimah Ilyas Purwanti Wahyuningsih, S.Pd.NIP. 195207171979032007
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LESSON PLANSMA NEGERI 1 UNGARAN
TA: 2011/2012LESSON/COURSE : MathematicsCLASS / SEMESTER : X / I
NUMBER OF LESSON : 1 (one)DURATION : 2 x 45
A. STANDARD OF COMPETENCYSolving problems related with function, quadratic equation, quadratic function andquadratic inequalities.
B. BASIC COMPETENCY2.5 Designing a MATHEMATICS model of a problem related with quadratics
equation and inequalities.
C. INDICATORS
Creating a mathematics model from a problem in mathematics, other subject ordaily life related with quadratic equation or function.
D. OBJECTIVESStudents able to Design a MATHEMATICS model of a problem related withquadratics equation and inequalities.
E. LEARNING MATERIALS
The use of quadratic equation and function in problem solving.
F. LEARNING ACTIVITIES
NO ACTIVITIES TIME METHODS1
2
3
Apperceptions Students do their homework in white board. Giving motivations based on the topic.Main Activities Identifying daily problems which is related
with quadratic equation and function. Formulating mathematics model from
problems in mathematics, other subject ordaily life which is related with quadraticequation or function.
Closing Students make a summary about todays
lesson Teacher gives a homework
10
70
10
Ask andanswer
Discussion
Ask andanswer
G. SOURCE/MATERIALS/EQUIPMENTS- Bilingual Mathematics X, Yrama Widya.- Mathematics Bilingual grade X, Yudhistira.- Guidebook, Grade X, SMAN 1 UNGARAN- LCD, Laptop.
H. EVALUATION
- Quiz- Homework
I. INSTRUMENTCreate the mathematics model of the following problems:1. a line has length of 80 m, created to be a quadrilateral. Find the length and
width for a maximum area!2. The height h meters rocket after t seconds, formulated h(t) = 600t 10t2
a. After what seconds the rocket reach a maximum height?
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b. What is the maximum height of the rocket?3. The difference of two numbers is 5, and the sum of the square is 2100 less than
the square of the sum of that two numbers. What is the sum of that twonumbers?
Known Prepared byPrincipal Teacher
Date:. Date:.Dra. Halimah Ilyas Purwanti Wahyuningsih, S.Pd.NIP. 195207171979032007
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LESSON PLANSMA NEGERI 1 UNGARAN
TA: 2011/2012LESSON/COURSE : MathematicsCLASS / SEMESTER : X / I
NUMBER OF LESSON : 1 (one)DURATION : 2 x 45
A. STANDARD OF COMPETENCYSolving problems related with function, quadratic equation, quadratic function andquadratic inequalities.
B. BASIC COMPETENCY2.6 Solving a MATHEMATICS model of a problem related with quadratic equation
and/or inequalities and its meaning.
C. INDICATORS
Solving a mathematics model from a problem in mathematics, other subject ordaily life related with quadratic equation or function.
Interpreting the problem solving in mathematics, other subject or daily liferelated with quadratic equation or function.
D. OBJECTIVESStudents able to Solve a mathematics model from a problem in mathematics, othersubject or daily life related with quadratic equation or function.
E. LEARNING MATERIALS
The use of quadratic equation and function in problem solving.
F. LEARNING ACTIVITIESNO ACTIVITIES TIME METHODS
1
2
3
Apperceptions Students do their homework in white board. Giving motivations based on the topic.Main Activities
Solving mathematics model from problems inmathematics, other subject or daily life whichis related with quadratic equation or function.
Interpreting problem solving in mathematics,other subject or daily life which is related withquadratic equation or function.
Closing Students make a summary about todays
lesson Teacher gives a homework
10
70
10
Ask andanswer
Discussion
Ask andanswer
G. SOURCE/MATERIALS/EQUIPMENTS- Bilingual Mathematics X, Yrama Widya.- Mathematics Bilingual grade X, Yudhistira.- Guidebook, Grade X, SMAN 1 UNGARAN- LCD, Laptop.
H. EVALUATION- Quiz- Homework
I. INSTRUMENTSolve the following problems:1. a line has length of 80 m, created to be a quadrilateral. Find the length and
width for a maximum area!2. The height h meters rocket after t seconds, formulated h(t) = 600t 10t2
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a. After what seconds the rocket reach a maximum height?b. What is the maximum height of the rocket?
3. The difference of two numbers is 5, and the sum of the square is 2100 less thanthe square of the sum of that two numbers. What is the sum of that twonumbers?
Known Prepared byPrincipal Teacher
Date:. Date:.Dra. Halimah Ilyas Purwanti Wahyuningsih, S.Pd.
NIP. 195207171979032007
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LESSON PLANSMA NEGERI 1 UNGARAN
TA: 2011/2012LESSON/COURSE : MathematicsCLASS / SEMESTER : X / I
NUMBER OF LESSON : 1 (one)DURATION : 2 x 45
A. STANDARD OF COMPETENCY3. Solving problems related with linear equation system and inequalities in one
variables.B. BASIC COMPETENCY
3.1. Solving linear equation system, mixed equation system of linear and quadraticin two variables.
C. INDICATORS
Determining the solution of linear equation system in two variables
D. OBJECTIVESStudents able to Solve a linear equation system in two variables.
E. LEARNING MATERIALSEquation system and inequalities system linear equation system in two variables
F. LEARNING ACTIVITIES
NO ACTIVITIES TIME METHODS
1
2
3
Apperceptions Students do their homework in white board. Giving motivations based on the topic.Main Activities Identifying the steps to solve linear equation
system in two variables.
Using linear equation system in two variablesto solve problems.
Closing Students make a summary about todays
lesson Teacher gives a homework
10
70
10
Ask andanswer
Discussion
Ask andanswer
G. SOURCE/MATERIALS/EQUIPMENTS- Bilingual Mathematics X, Yrama Widya.- Mathematics Bilingual grade X, Yudhistira.- Guidebook, Grade X, SMAN 1 UNGARAN- LCD, Laptop.
H. EVALUATION- Quiz- Homework
I. INSTRUMENT1. Find the solution set of :
35y-x
63yx2
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31
2. Find the solution set of :
8y2
x1
34
1
x
3
3. Given an equation system
4y-x
81
13
2y-x
then find the value ofx
y
Known Prepared by
Principal Teacher
Date:. Date:.Dra. Halimah Ilyas Purwanti Wahyuningsih, S.Pd.NIP. 195207171979032007
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LESSON PLANSMA NEGERI 1 UNGARAN
TA: 2011/2012LESSON/COURSE : MathematicsCLASS / SEMESTER : X / I
NUMBER OF LESSON : 2 (two)DURATION : 4 x 45
A. STANDARD OF COMPETENCY3. Solving problems related with linear equation system and inequalities in one
variables.B. BASIC COMPETENCY
3.1. Solving linear equation system, mixed equation system of linear and quadraticin two variables.
C. INDICATORS
Determining the solution of linear equation system in three variables
D. OBJECTIVESStudents able to Solve a linear equation system in three variables.
E. LEARNING MATERIALSEquation system and inequalities system linear equation system in three variables
F. LEARNING ACTIVITIES
NO ACTIVITIES TIME METHODS
1
2
3
Apperceptions Students do their homework in white board. Giving motivations based on the topic.Main Activities Identifying the steps to solve linear equation
system in three variables.
Using linear equation system in threevariables to solve problems.
Closing Students make a summary about todays
lesson Teacher gives a homework
10
70
10
Ask andanswer
Discussion
Ask andanswer
G. SOURCE/MATERIALS/EQUIPMENTS- Bilingual Mathematics X, Yrama Widya.- Mathematics Bilingual grade X, Yudhistira.- Guidebook, Grade X, SMAN 1 UNGARAN- LCD, Laptop.
H. EVALUATION- Quiz- Homework
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I. INSTRUMENTFind the solution set of :
a.
4-z-3x
1-3yy-2x
0z-yx
b.
6
13
z
1
y
2
x
3
1z3
y1
x2
6
1
z
1
y
1
x
1
Known Prepared byPrincipal Teacher
Date:. Date:.
Dra. Halimah Ilyas Purwanti Wahyuningsih, S.Pd.NIP. 195207171979032007
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LESSON PLANSMA NEGERI 1 UNGARAN
TA: 2011/2012LESSON/COURSE : MathematicsCLASS / SEMESTER : X / I
NUMBER OF LESSON : 2 (two)DURATION : 5 x 45
A. STANDARD OF COMPETENCY3. Solving problems related with linear equation system and inequalities in one
variables.B. BASIC COMPETENCY
3.1. Solving linear equation system, mixed equation system of linear and quadraticin two variables.
C. INDICATORS
Determining the solution of linear and quadratic mixed equation system in twovariables
D. OBJECTIVESStudents able to Solve a linear equation system in three variables.
E. LEARNING MATERIALSEquation system and inequalities system linear and quadratic mixed equation system in two variables
F. LEARNING ACTIVITIES
NO ACTIVITIES TIME METHODS1
2
3
Apperceptions
Students do their homework in white board. Giving motivations based on the topic.Main Activities Identifying the steps to solve linear and
quadratic mixed equation system in twovariables.
Using linear and quadratic mixed equationsystem in two variables to solve problems.
Closing Students make a summary about todays
lesson Teacher gives a homework
10
70
10
Ask andanswer
Discussion
Ask andanswer
G. SOURCE/MATERIALS/EQUIPMENTS- Bilingual Mathematics X, Yrama Widya.- Mathematics Bilingual grade X, Yudhistira.- Guidebook, Grade X, SMAN 1 UNGARAN- LCD, Laptop.
H. EVALUATION- Quiz
- Homework
I. INSTRUMENTFind the solution set of :
1.
4xy
5-xy2
3.
3xy
1x2xy2
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35
2.
18yx9
10yx
22
22
4.
5yx
13yx22
Known Prepared byPrincipal Teacher
Date:. Date:.Dra. Halimah Ilyas Purwanti Wahyuningsih, S.Pd.NIP. 195207171979032007
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LESSON PLANSMA NEGERI 1 UNGARAN
TA: 2011/2012LESSON/COURSE : MathematicsCLASS / SEMESTER : X / I
NUMBER OF LESSON : 1 (one)DURATION : 2 x 45
A. STANDARD OF COMPETENCY3. Solving problems related with linear equation system and inequalities in one
variables.B. BASIC COMPETENCY
3.2. Designing a mathematics model of a problem related with linear equationsystem.
C. INDICATORS
Identifying problems related with linear equation system. Creating mathematics model which is related with linear equation system.
D. OBJECTIVESStudents able to create mathematics model which is related with linear equationsystem.
E. LEARNING MATERIALSApplication of linear equation system in two variables and three variables
F. LEARNING ACTIVITIES
NO ACTIVITIES TIME METHODS1
2
3
Apperceptions
Students do their homework in white board. Giving motivations based on the topic.Main Activities Identifying problems related with linear
equation system. Formulating mathematics model from
problems in mathematics, other subject ordaily life which is related with linear equationsystem.
Closing Students make a summary about todays
lesson Teacher gives a homework
10
70
10
Ask andanswer
Discussion
Ask andanswer
G. SOURCE/MATERIALS/EQUIPMENTS- Bilingual Mathematics X, Yrama Widya.- Mathematics Bilingual grade X, Yudhistira.- Guidebook, Grade X, SMAN 1 UNGARAN- LCD, Laptop.
H. EVALUATION
- Quiz- Homework
I. INSTRUMENTIf the sum of the first number and twice of the 2nd number is 21, but the 2nd
number added by twice the first gets 18.a. Create the mathematics model !b. Find the two numbers !
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LESSON PLANSMA NEGERI 1 UNGARAN
TA: 2011/2012LESSON/COURSE : MathematicsCLASS / SEMESTER : X / I
NUMBER OF LESSON : 2 (two)DURATION : 4 x 45
A. STANDARD OF COMPETENCY3. Solving problems related with linear equation system and inequalities in one
variables.B. BASIC COMPETENCY
3.3. Solving a mathematics model of a problem related with linear equation systemand its meaning.
C. INDICATORS
Determining the solution of mathematics model from problems related withlinear equation system.
Interpreting the solution result of related with linear equation system.
D. OBJECTIVESStudents able to solve mathematics model which is related with linear equationsystem.
E. LEARNING MATERIALSApplication of linear equation system in two variables and three variables
F. LEARNING ACTIVITIESNO ACTIVITIES TIME METHODS
1
2
3
Apperceptions Students do their homework in white board.
Giving motivations based on the topic.Main Activities Solving mathematics model from problems in
mathematics, other subject or daily life whichis related with linear equation system.
Interpreting problem solving in mathematics,other subject or daily life which is related withlinear equation system.
Closing Students make a summary about todays
lesson Teacher gives a homework
10
70
10
Ask andanswer
Discussion
Ask andanswer
G. SOURCE/MATERIALS/EQUIPMENTS- Bilingual Mathematics X, Yrama Widya.- Mathematics Bilingual grade X, Yudhistira.- Guidebook, Grade X, SMAN 1 UNGARAN- LCD, Laptop.
H. EVALUATION- Quiz- Homework
I. INSTRUMENT1. Ten years ago age A is twice age B. Five years later age A will be 1 times
age B. How old are A and B now?2. The sum of two numbers is 79, and the difference of that two numbers is 11.
Find that numbers !
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3. The graph of parabol y = ax2 + bx + c through points (-4,2), (-2,11), and (4,5).Find the value of a,b,c then write the graph equation!
Known Prepared byPrincipal Teacher
Date:. Date:.Dra. Halimah Ilyas Purwanti Wahyuningsih, S.Pd.NIP. 195207171979032007
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LESSON PLANSMA NEGERI 1 UNGARAN
TA: 2011/2012LESSON/COURSE : MathematicsCLASS / SEMESTER : X / I
NUMBER OF LESSON : 1 (one)DURATION : 2 x 45
A. STANDARD OF COMPETENCY3. Solving a mathematics model of a problem related with linear equation system
and its meaning.B. BASIC COMPETENCY
3.4. Solving inequalities in one variable involving rational algebraic form.
C. INDICATORS
Determining the solution requirements of inequalities involving algebraic rationalform.
Determining the solution of inequalities involving algebraic rational form.
D. OBJECTIVESStudents able to solve inequalities involving algebraic rational form.
E. LEARNING MATERIALSOne variable inequalities in algebraic rational form
F. LEARNING ACTIVITIES
NO ACTIVITIES TIME METHODS
1
2
3
Apperceptions Students do their homework in white board. Giving motivations based on the topic.Main Activities Identifying the steps to solve one variable
inequalities.
Using one variable inequalities to solveproblems.
Identifying the steps to solve one variableinequalities involving algebraic rational form.
Using one variable inequalities involvingalgebraic rational form to solve problems.
Closing Students make a summary about todays
lesson Teacher gives a homework
10
70
10
Ask andanswer
Discussion
Ask and
answer
G. SOURCE/MATERIALS/EQUIPMENTS- Bilingual Mathematics X, Yrama Widya.- Mathematics Bilingual grade X, Yudhistira.- Guidebook, Grade X, SMAN 1 UNGARAN- LCD, Laptop.
H. EVALUATION- Quiz- Homework
I. INSTRUMENTFind the solution set of :
a. 04-2x
2x
c.
1x32x
5-x4x2
2
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b.q3x
8x22
x
d. 04x
x
Known Prepared byPrincipal Teacher
Date:. Date:.Dra. Halimah Ilyas Purwanti Wahyuningsih, S.Pd.NIP. 195207171979032007
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LESSON PLANSMA NEGERI 1 UNGARAN
TA: 2011/2012LESSON/COURSE : MathematicsCLASS / SEMESTER : X / I
NUMBER OF LESSON : 1 (one)DURATION : 2 x 45
A. STANDARD OF COMPETENCY3. Solving a mathematics model of a problem related with linear equation system
and its meaning.B. BASIC COMPETENCY
3.5. Designing a mathematics model of a problem related with inequalities in onevariable.
C. INDICATORS
Identifying problems related with one variable inequalities. Creating mathematics model which is related with one variable inequalities.
D. OBJECTIVESStudents able to Create mathematics model which is related with one variableinequalities.
E. LEARNING MATERIALSApplication of one variable inequalities in rational algebraic form
F. LEARNING ACTIVITIES
NO ACTIVITIES TIME METHODS1
2
3
Apperceptions
Students do their homework in white board. Giving motivations based on the topic.Main Activities Identifying problems related with one variable
inequalities. Formulating mathematics model from
problems in mathematics, other subject ordaily life which is related with one variableinequalities.
Closing Students make a summary about todays
lesson Teacher gives a homework
10
70
10
Ask andanswer
Discussion
Ask andanswer
G. SOURCE/MATERIALS/EQUIPMENTS- Bilingual Mathematics X, Yrama Widya.- Mathematics Bilingual grade X, Yudhistira.- Guidebook, Grade X, SMAN 1 UNGARAN- LCD, Laptop.
H. EVALUATION
- Quiz- Homework
I. INSTRUMENTCreate the mathematics model :1. The circumference of a rectangle is 40 cm. What is the width of the rectangle
such that has area at minimum of 96 cm2.
2. Two natural numbers have difference of 4. If the product must be 32 or more,which natural number is satisfied?
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3. A rocket is shut up from the land surface with 1st velocity of 80 m/s. Thegravitation force in that place is 10 m/s2. How long the rocket will be in morethan 240 m height?
Known Prepared by
Principal Teacher
Date:. Date:.Dra. Halimah Ilyas Purwanti Wahyuningsih, S.Pd.NIP. 195207171979032007
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LESSON PLANSMA NEGERI 1 UNGARAN
TA: 2011/2012LESSON/COURSE : MathematicsCLASS / SEMESTER : X / I
NUMBER OF LESSON : 2 (two)DURATION : 5 x 45
A. STANDARD OF COMPETENCY3. Solving a mathematics model of a problem related with linear equation system
and its meaning.B. BASIC COMPETENCY
3.6. Solving a mathematics model of a problem related with inequalities in onevariable and its meaning
C. INDICATORS
Determining the solution of mathematics model from problems related with onevariable inequalities in rational algebraic form.
Interpreting the solution result of related with one variable inequalities in rationalalgebraic form.
D. OBJECTIVESStudents able to solve mathematics model which is related with one variableinequalities.
E. LEARNING MATERIALSApplication of one variable inequalities in rational algebraic form
F. LEARNING ACTIVITIES
NO ACTIVITIES TIME METHODS
1
2
3
Apperceptions Students do their homework in white board. Giving motivations based on the topic.Main Activities Solving mathematics model from problems in
mathematics, other subject or daily life whichis related with one variable inequalities.
Interpreting problem solving in mathematics,other subject or daily life which is related withone variable inequalities.
Closing Students make a summary about todays
lesson Teacher gives a homework
10
70
10
Ask andanswer
Discussion
Ask andanswer
G. SOURCE/MATERIALS/EQUIPMENTS- Bilingual Mathematics X, Yrama Widya.- Mathematics Bilingual grade X, Yudhistira.- Guidebook, Grade X, SMAN 1 UNGARAN- LCD, Laptop.
H. EVALUATION- Quiz- Homework
I. INSTRUMENT1. The circumference of a rectangle is 40 cm. What is the width of the rectangle
such that has area at minimum of 96 cm2.
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2. Two natural numbers have difference of 4. If the product must be 32 or more,which natural number is satisfied?
3. A rocket is shut up from the land surface with 1st velocity of 80 m/s. Thegravitation force in that place is 10 m/s2. How long the rocket will be in morethan 240 m height?
Known Prepared byPrincipal Teacher
Date:. Date:.Dra. Halimah Ilyas Purwanti Wahyuningsih, S.Pd.NIP. 195207171979032007