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8/3/2019 Lesson Plan Full
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LESSON PLAN
Name of School : Junior High School 9 Palembang
Subject : Mathematics
Grade / Semester : VIII / 1
Meeetings : 15
Time Allocation : 10 x 40 minutes
Standard Competence
Understanding algebra forms
Basic Competence
Operating Algebra Forms
Indicator
1. Explaining coefficient, variable, constanta, monomials, binomials, polynomials in
same or different variable
2. Solving addition, substraction, multiplication, division, and exponentiation in
monomials and polynomials
3. Solving division operation in same or different terms
4.
Reducing terms division5. Solving exponentiation constanta and terms
6. Solving addition, substraction, multiplication, division, and exponentiation in
fractions on algebra forms
7. Reducing fraction on algebra form
A.Learning Objective1. Students be able to explain coefficient, variable, constanta, monomials, binomials,
polynomials in same or different variable
2. Students be able to solve addition, substraction, multiplication, division, and
exponentiation in monomials and polynomials
3. Student be able to solve division operation in same or different term
4. Students be able to reduce terms division
5. Students be able to solve exponentiation constanta and terms
6. Students be able to solve addition, substraction, multiplication, division, and
exponentiation in fractions on algebra forms
7. Students be able to reduce fraction on algebra forms
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B.Learning Material Algebra forms
C.Teaching Learning StrategiesDemonstration, question and answer, discussion
D.Teaching Learning ActivitiesMeeting 1
Introduction
a. Teacher informs learning objectives
b. Teacher reviews the prerequsite material
Main Activity
a. By questions and answers, teacher asks students to recall some of algebra definition
which has been studied
b. By questions and answers, teacher explains how to solve addition and substraction on
algebra forms
Closing
a. The teacher guides the students to make a summary of the material.
b. Teacher gives homework
c. Teacher informs the next material for next meeting.
Meeting 2
Intoduction
a. Teacher informs learning objectives
b. Teacher reviews the prerequsite material
Main Activity
a. By question answer, students recall how to solve solve addition and substraction on
algebra forms
b. By grouping, students ask to solve some of quetions from the book and present it in
front of class
Closing
a. The teacher guides the students to make a summary of the material.
b. Teacher gives homework
c. Teacher informs the next material for next meeting.
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Meeting 3
Introduction
a. Teacher informs learning objectives
b. Teacher reviews the prerequsite material
Main Activity
a. By question answer, students ask to solve multiplication and exponentiation on
algebra forms
b. By grouping, students ask to solve some of quetions from the book and present it in
front of class
Closing
a. The teacher guides the students to make a summary of the material.
b. Teacher gives homework
c. Teacher informs the next material for next meeting.
Meeting 4
Introduction
a. Teacher informs learning objectives
b. Teacher reviews the prerequsite material
Main Activity
a. By question answer, students determine adding, substraction, multiplication, division,
and exponentiation in fraction on algebra forms
b. By grouping, students ask to solve some of quetions from the book and present it in
front of class
Closing
a. The teacher guides the students to make a summary of the material.
b.
Teacher gives homework
c. Teacher informs the next material for next meeting.
Meeting 5
Introduction
a. Teacher informs learning objectives
b. Teacher reviews the prerequsite material
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Main Activity
a. By question answer, teacher explain again how to reduce fraction
b. By grouping, students ask to discuss to solve some of the question from the book and
present it in front of class
Closing
a. The teacher guides the students to make a summary of the material.
b. Teacher gives homework
c. Teacher informs the next material for next meeting.
E.Sources, Materials, ToolsStudent book
F.Assesmenta. The technical of assesment
Written assesment
Show the ability
b. The form of assesment
Questions in examples and exercises
c. Instrument
Find the solution
a) (2x + 3 ) + (5x +4)
b) (x2
+ 2x3)(3x +9)
c) (x + 6) (6x2)
d) (x24x4) : (x2)
Acknowledge, Palembang, 2010
Head Master Teacher Practitioner
Drs. Basyaruddin, M.Si Arfani, S. Pd Rosmalia Septiana
NIP. 131909558 NIP. 131786043 NIM. 06071008028
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LESSON PLAN
Name of School : Junior High School 9 Palembang
Subject : Mathematics
Grade / Semester : VIII / 1
Meeetings : 68
Time Allocation : 2 x 40 minutes
Standard Competence
Understanding algebra forms
Basic Competence
Operating Algebra Forms
Indicator
Factoring Algebra Expressions
A.Learning ObjectiveStudent be able to factor Algebra expressions
B.Learning Material Algebra forms
C.Teaching Learning StrategiesDemonstration, question and answer, discussion
D.Teaching Learning ActivitiesMeeting 6
Introduction
a. Teacher informs learning objectives
b. Teacher reviews the prerequsite material
Main Activity
a. By some of the questions, student showed algebra forms which can be write in factor
of algebra.
b. By discussion, students write algebra factor in constanta or variable
Closing
a. The teacher guides the students to make a summary of the material.
b. Teacher gives homework
c. Teacher informs the next material for next meeting.
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Meeting 7
Intoduction
a. Teacher informs learning objectives
b. Teacher reviews the prerequsite material
Main Activity
By dicussion, students ask to solve some of question from the book and present it in front
of class
Closing
a. The teacher guides the students to make a summary of the material.
b. Teacher gives homework
c. Teacher informs the next material for next meeting.
Meeting 8
Introduction
a. Teacher informs learning objectives
b. Teacher reviews the prerequsite material
Main Activity
a. By discussion, students ask to factoring algebra form to its factor
b.
Some of student present it in front of class
Closing
a. The teacher guides the students to make a summary of the material.
b. Teacher gives homework
c. Teacher informs the next material for next meeting.
Meeting 9
Introduction
c. Teacher informs learning objectives
d. Teacher reviews the prerequsite material
Main Activity
a. By question answer, students factoring algebra forms to its factor from the question
given by teacher
b. By grouping, students ask to discuss to solve some of the question and present it
infront of class
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Closing
a. The teacher guides the students to make a summary of the material.
b. Teacher gives homework
c. Teacher informs the next material for next meeting.
E.Sources, Materials, ToolsStudent book
F.Assesmenta. The technical of assesment
Written assesment
Show the ability
b. The form of assesment
Questions in examples and exercises
c. Instrument
Factor the following algbraic expression
2x22x - 4
x216
Acknowledge, Palembang, 2010
Head Master Teacher Practitioner
Drs. Basyaruddin, M.Si Arfani, S. Pd Rosmalia Septiana
NIP. 131909558 NIP. 131786043 NIM. 06071008028
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LESSON PLAN
Name of School : Junior High School 9 Palembang
Subject : Mathematics
Grade / Semester : VIII / 1
Meeetings : 911
Time Allocation : 2 x 40 minutes
Standard Competence
Understanding relation and function
Basic Competence
Understanding relation and function
Indicator
1. Expressing daily problem related with relations and functions
2. Expressing a funtion related daily activity notations
A.Learning Objective1. Student be able to express daily problem related with relations and functions
2. Student be able to express a funtion related daily activity notations
B.Learning Material Relations and Functions
C.Teaching Learning StrategiesDemonstration, question and answer, discussion
D.Teaching Learning ActivitiesMeeting
Introduction
a. Teacher informs learning objectives
b. Teacher reviews the prerequsite material
Main Activity
a. By example in daily life, sutudents express relations
b. By example, students know relations
c. By question answer, students explain with their own word and express daily problem
related with relations
d. By grouping, students ask to discuss to solve some of question from the book and
present in in front of class
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Closing
a. The teacher guides the students to make a summary of the material.
b. Teacher gives homework
c. Teacher informs the next material for next meeting.
Meeting
Intoduction
a. Teacher informs learning objectives
b. Teacher reviews the prerequsite material
Main Activity
a. By example in daily life, student know which one function and not function
b. By question answer, students explain with their own word and express daily problem
related with functions
c. By grouping, students ask to discuss to solve some of question from the book and
present it in front of class
Closing
a. The teacher guides the students to make a summary of the material.
b. Teacher gives homework
c.
Teacher informs the next material for next meeting.
Meeting
Introduction
a. Teacher informs learning objectives
b. Teacher reviews the prerequsite material
Main Activity
a.
By question and answer with example, student express function with notations
b. By grouping, students ask to solve some of question from the book and present it in
from of class.
Closing
a. The teacher guides the students to make a summary of the material.
b. Teacher gives homework
c. Teacher informs the next material for next meeting.
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E.Sources, Materials, ToolsStudent book
F.Assesmentd. The technical of assesment
Written assesment
Show the ability
e. The form of assesment
Questions in examples and exercises
f. Instrument
In first day, Bita saves her money Rp 10.000,00. If every next day she saves
Rp. 1.000,00, express Bitas money at t-day in function
Acknowledge, Palembang, 2010
Head Master Teacher Practitioner
Drs. Basyaruddin, M.Si Arfani, S. Pd Rosmalia Septiana
NIP. 131909558 NIP. 131786043 NIM. 06071008028
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LESSON PLAN
Name of School : Junior High School 9 Palembang
Subject : Mathematics
Grade / Semester : VIII / 1
Meeetings : 1218
Time Allocation : 12 x 40 minutes
Standard Competence
Understanding relation and function
Basic Competence
Determining function value
Indicator
1. Calculating value of the function
2. Calculating the change value of the function
3. Determining function forms
A.Learning Objective1. Students be able to calculate value of the function
2.
Students be able to calculate the change value of the function3. Students be able to determine function form
B.Learning Material Relations and Functions
C.Teaching Learning StrategiesDemonstration, question and answer, discussion
D.Teaching Learning ActivitiesMeeting 13
Introduction
a. Teacher informs learning objectives
b. Teacher reviews the prerequsite material
Main Activity
a. By discussion, students express function in arrow diagram, cartesian diagram, and sets
of ordered pairs
b. By grouping, students ask to discuss to solve some of the question from te book
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Closing
a. The teacher guides the students to make a summary of the material.
b. Teacher gives homework
c. Teacher informs the next material for next meeting.
Meeting 14
Intoduction
a. Teacher informs learning objectives
b. Teacher reviews the prerequsite material
Main Activity
a. With arrow diagram, teacher explain about how many posibble mapping between two
sets
b. By grouping, students ask to discuss to solve some of question from the book and
present it in front of class
Closing
a. The teacher guides the students to make a summary of the material.
b. Teacher gives homework
c. Teacher informs the next material for next meeting.
Meeting 15
Introduction
a. Teacher informs learning objectives
b. Teacher reviews the prerequsite material
Main Activity
a. By question and answer with example, teacher explain one to one correspondence
b.
By discussion, students determine how many possible one to one correspondence
between two sets
Closing
a. The teacher guides the students to make a summary of the material.
b. Teacher gives homework
c. Teacher informs the next material for next meeting.
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Meeting 16
Introduction
a. Teacher informs learning objectives
b. Teacher reviews the prerequsite material
Main Activity
a. By demonstration, teacher shows the using fact of function in daily life
b. By discussion, students find how to determine function if the notation function known
c. By grouping, student ask to discuss to solve some of question from the book
Closing
a. The teacher guides the students to make a summary of the material.
b. Teacher gives homework
c. Teacher informs the next material for next meeting.
Meeting 17
Introduction
a. Teacher informs learning objectives
b. Teacher reviews the prerequsite material
Main Activity
a.
By question answer with example, teacher shows rlation of function and the necessary
data to compile a function
b. By discussion, students ask to identfy the necessary condition that needing to compile
a function formf(x) = ax + b
Closing
a. The teacher guides the students to make a summary of the material.
b. Teacher gives homework
c.
Teacher informs the next material for next meeting.
Meeting 18
Introduction
a. Teacher informs learning objectives
b. Teacher reviews the prerequsite material
Main Activity
Daily test about function value and function forms
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Closing
a. The teacher guides the students to make a summary of the material.
b. Teacher gives homework
c. Teacher informs the next material for next meeting.
E.Sources, Materials, ToolsStudent book
F.Assesmenta. The technical of assesment
Written assesment
Show the ability
b. The form of assesment
Questions in examples and exercises
c. Instrument
Acknowledge, Palembang, 2010
Head Master Teacher Practitioner
Drs. Basyaruddin, M.Si Arfani, S. Pd Rosmalia Septiana
NIP. 131909558 NIP. 131786043 NIM. 06071008028
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LESSON PLAN
Name of School : Junior High School 9 Palembang
Subject : Mathematics
Grade / Semester : VIII / 1
Meeetings : 2729
Time Allocation : 2 x 40 minutes
Standard Competence
Understanding algebra forms
Basic Competence
Making function graph skecth on cartesian coordinat
Indicator
1. Compiling function table
2. Drawing function graph
A.Learning Objective1. Students be able to compile function table
2. Students be able to draw function graph
B.Learning Material Relation and Function
C.Teaching Learning StrategiesDemonstration, question and answer, discussion
D.Teaching Learning ActivitiesMeeting
Introduction
a. Teacher informs learning objectives
b. Teacher reviews the prerequsite material
Main Activity
a. By question answer, students determine function value if the change value known
b. By discussion, students determine change value and value of function in table
Closing
a. The teacher guides the students to make a summary of the material.
b. Teacher gives homework
c. Teacher informs the next material for next meeting.
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Meeting 26 - 27
Intoduction
a. Teacher informs learning objectives
b. Teacher reviews the prerequsite material
Main Activity
a. By dicussion, students drawfunction graph from the table
b. By grouping, student ask to discuss to solve some of question from the book
Closing
a. The teacher guides the students to make a summary of the material.
b. Teacher gives homework
c. Teacher informs the next material for next meeting.
Meeting 28
Introduction
a. Teacher informs learning objectives
b. Teacher reviews the prerequsite material
Main Activity
a. By question answer, students determine coordinat points on cartesian coordinat from
given function graph
b. By grouping, students ask to discuss to solve some of question from the book
Closing
a. The teacher guides the students to make a summary of the material.
b. Teacher gives homework
c. Teacher informs the next material for next meeting.
E.Sources, Materials, ToolsStudent book
F.Assesmenta. The technical of assesment
Written assesment
Show the ability
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b. The form of assesment
Questions in examples and exercises
c. Instrument
Factor the following algbraic expression
Acknowledge, Palembang, 2010
Head Master Teacher Practitioner
Drs. Basyaruddin, M.Si Arfani, S. Pd Rosmalia Septiana
NIP. 131909558 NIP. 131786043 NIM. 06071008028
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LESSON PLAN
Name of School : Junior High School 9 Palembang
Subject : Mathematics
Grade / Semester : VIII / 1
Time Allocation : 2 x 40 minutes
Meeting : 30 - 32
Standard Competence
Understanding algebra form, relation, function, and equation of straight lines
Basic Competence
Determining gradient, straight lines equation and graph
Indicator
1. Understanding various form of equations
2. Understanding form of linear equation
3. Graphing a linear equation from its table
4. Graphing a linear equation from its intersection point
A.
Learning Objective1. Students be able to explain linear equation
2. Students be able to explain the difference between equation and linear equation
3. Students be able to draw linear equations graph from its table
4. Students be able to draw linear equations graph by determining its intersection point
B.Learning MaterialLinear Equations
Linear equations and their graph
C.Teaching Learning StrategiesDemonstration, question and answer
D.Teaching Learning ActivitiesIntroduction
c. Teacher informs learning objectives
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d. Teacher reviews the prerequsite material about linear equations in one variable,
arithmetical operations on integers and fractions, algebraic operations, and Cartesian
coordinate system.
Main Activity
a. Teacher gives example of various equations
b. Teacher explains the difference between equation adn linear equation
c. Teacher gives the way to graphing linear equation from its table
d. Teacher gives the way to graphing linear equation from determining its intersection
point
e. Students do excercises
Closing
a. The teacher guides the students to make a summary of the material.
b. Teacher gives exercises
c. Teacher informs the next material for next meeting.
E.Sources, Materials, Toolsa.
Student book
b. Ruler
F.Assesmentd. The technical of assesment
Written assesment
Show the ability
e.
The form of assesment
Questions in examples and exercises
f. Instrument
Determine which of equations falls into linear equation
y = 5x + 3
4x3y = y
3x + 2xy = 7
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3a5b + 4 = 0
Construct the line given by building their corresponding table
y = 3x
y = 2x + 3
y = 3/4 x2
y = 1/3 x + 4
construct the line by finding the valu of y when x = 0 and x when y = 0
x + y = 3
2x + y = 4
x + 3y = 6
4x3 y = 12
Acknowledge, Palembang, 2010
Head Master Teacher Practitioner
Drs. Basyaruddin, M.Si Arfani, S. Pd Rosmalia Septiana
NIP. 131909558 NIP. 131786043 NIM. 06071008028
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LESSON PLAN
Name of School : Junior High School 9 Palembang
Subject : Mathematics
Grade / Semester : VIII / 1
Time Allocation : 2 x 40 minutes
Meeting : 33-35
Standard Competence
Understanding algebra form, relation, function, and equation of straight lines
Basic Competence
Determining gradient, straight lines equation and graph
Indicator
1. Understanding gradient
2. Determining gradient from two points on the plane
3. Determining gradient of parallel lines
4. Determining gradient of perpendicular lines
A.Learning Objective1. Students be able to explain gradient (slope)
2. Students be able to determine gradient from two points on the plane
3. Students be able to determine gradient of parallel lines
4. Students be able to determine gradient of perpendicular lines
B.Learning MaterialLinear Equations
Gradient
C.Teaching Learning StrategiesDemonstration, question and answer
D.Teaching Learning ActivitiesIntroduction
a. Teacher informs learning objectives
b. Teacher reviews the prerequsite material
Main Activity
a. Teacher explains about gradient
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b. Teacher shows the way to determine gradient from two points on the plane
c. Teacher shows the way to determine gradient of parallel lines
d. Teacher shows the way to determine gradient of perpendicular lines
e. Students do excercises
Closing
a. The teacher guides the students to make a summary of the material.
b. Teacher gives exercises
c. Teacher informs the next material for next meeting.
E.Sources, Materials, Toolsa. Student book
b. Ruler
c. Square book
F.Assesmenta. The technical of assesment
Written assesment
Show the ability
b. The form of assesment
Questions in examples and exercises
c. Instrument
Find the gradient of each line connecting every pair of points below
A (4,1) dan B (6,7)
C (-3,6) dan D (1,10)
A line q has a gradient of 3. Find the gradient of a line which is :
Parallel to the line q
Perpendicular to the line
Acknowledge, Palembang, 2010
Head Master Teacher Practitioner
Drs. Basyaruddin, M.Si Arfani, S. Pd Rosmalia Septiana
NIP. 131909558 NIP. 131786043 NIM. 06071008028
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LESSON PLAN
Name of School : Junior High School 9 Palembang
Subject : Mathematics
Grade / Semester : VIII / 1
Time Allocation : 2 x 40 minutes
Meeting : 36-27
Standard Competence
Understanding algebra form, relation, function, and equation of straight lines
Basic Competence
Determining gradient, straight lines equation and graph
Indicator
1. Detrmining the equation for a line having a gradient ofm and running through (x1, y1)
2. Determining the equation for a line having a gradient of m and running through (x1,
y1)
3. Determing the equation for a line running through (x1, y1) and paraller or
perpendicular to the other linear equation
4. Determining the equation for a line running through (x1, y1) and (x, y2)
5.
Determining the equation for a line running through (x1, y1) and (x, y2)
A. Learning Objective1. Students be able to determine the equation for a line having a gradient of m and
running through (x1, y1)
2. Students be able to determine the equation for a line having a gradient of m and
running through (x1, y1)
3. Students be able to determine the equation for a line running through (x1, y1) and
paraller or perpendicular to the other linear equation
4. Students be able to determine the equation for a line running through (x1, y1) and (x,
y2)
5. Students be able to determine the equation for a line running through (x1, y1) and (x,
y2)
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B.Learning MaterialLinear Equations
The equation for a line having a gradient ofm and running through (x1, y1)
The equation for a line running through (x1, y1) and(x2, y2C.Teaching Learning Strategies
Demonstration, question and answer
D.Teaching Learning ActivitiesIntroduction
a. Teacher informs learning objectives
b. Teacher reviews the prerequsite material
Main Activity
Teacher Students
Explains the equation for a line having
a gradient of m and running through
(x1, y1)
Give attention to teacher
Gives example how to determine the
equation for a line having a gradient
ofm and running through (x1, y1)
Give attention
Asks students to do exercises 5
number 1, 2, 3
Do exercises
Helps the students Do exercises
Chooses some of the students to
answer exercises in front of class
One of students answer exercises, the other
give attention and correct their answer
Explains the equation for a line
running through (x1, y1) and(x2, y2)
Give attention
Gives example how to determine the
equation for a line running through
(x1, y1) and (x2,y2)
Give attention
Asks student to do exercise 5 number Do exercises
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4, 5, 6
Helps the students Do exercises
Chooses some of the students to
answer exercises in front of class
One of students answer exercises, the other
give attention and correct their answerClosing
a. The teacher guides the students to make a summary of the material.
b. Teacher gives homework
c. Teacher informs the next material for next meeting.
E.Sources, Materials, Toolsa. Student book
b. Ruler
c. Grid paper
F.Assesmenta. The technical of assesment
Written assesment
Show the ability
b. The form of assesment
Questions in examples and exercises
c. Instrument
Determine the equation for a line running through (3,5) and having a gradient
of 4
Determine the equation for a line running through (-18, -12) and parallel to the
lines given by x + 2y = 10
Determine the equation for a line running through (12, -18) and perpendicular
to the lines given by 3x + y = 10
Determine the equation for the lines running through (1,3) and (4,6)
Acknowledge, Palembang, 2010
Head Master Teacher Practitioner
Drs. Basyaruddin, M.Si Arfani, S. Pd Rosmalia Septiana
NIP. 131909558 NIP. 131786043 NIM. 06071008028
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LESSON PLAN
Name of School : Junior High School 9 Palembang
Subject : Mathematics
Grade / Semester : VIII / 1
Time Allocation : 2 x 45 minutes
Meeting : 38-39
Standard Competence
Understanding algebra form, relation, function, and equation of straight lines
Basic Competence
Determining gradient, straight lines equation and graph
Indicator
1. Determining relationship between parallel lines
2. Determining relationship between coincident lines
3. Determining relationship between perpendicular lines
4. Determining relationship between intersecting lines
5. Determining intersect point between 2 lines
A.Learning Objective1. Students be able to determine relationship between parallel lines
2. Students be able to determine relationship between coincident lines
3. Students be able to determine relationship between perpendicular lines
4. Students be able to determine relationship between intersecting lines
5. Students be able to determine intersect point between 2 lines
B.Learning MaterialLinear Equations
Relationship between gradient and linear equation
C.Teaching Learning StrategiesDemonstration, question and answer
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D.Teaching Learning ActivitiesIntroduction
a. Teacher informs learning objectives
b. Teacher reviews the prerequsite material
Main Activity
Teacher Students
Explains how to determine
relationship between parallel lines
m1 = m2
Give attention to teacher
Gives example how to determine
determine relationship between
parallel lines
Give attention
Explains how to determine
relationship between coincident lines
m1 = m2 and c1 = c2
Give attention
Gives example how to determine
determine relationship between
coincident lines
Give attention
Explains how to determine
relationship between perpendicular
lines
m1 x m2 = -1
Give attention
Gives example how to determine
determine relationship between
perpendicular lines
Give attention
Explains how to determine
relationship between intersecting lines
m1 m2
Give attention
Gives example how to determine
determine relationship between
intersecting lines
Give attention
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Explains how to determining intercep
point between 2 lines
y1 = y2
m1x + c
1= m
2x + c
2
Give attention
Asks student to do exercise 6 Do exercises
Helps the students Do exercises
Chooses some of the students to
answer exercises in front of class
Some of students answer exercises, the other
give attention and correct their answer
Shows the graph of line using Winplot
Software to proof studentss answer
Correct their answer
Closing
a. The teacher guides the students to make a summary of the material.
b. Teacher gives homework
c. Teacher informs the next material for next meeting.
E.Sources, Materials, Toolsa. Student book
b. Ruler
c. Grid paper
d. LCD
F.Assesmenta. The technical of assesment
Written assesment
Show the ability
b. The form of assesment
Questions in examples and exercises
c. Instrument
Indicator Instrument
Determining relationship between parallel
lines
Show that the line given by y = -2x + 4 and
8 x + 4y + 12 = 0 are parallel
Determining relationship between Show that the line given by y = 2/3x -4 and
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coincident lines 4x6y24 = 0 are coincident
Determining relationship between
perpendicular lines
Determine the relationship between a line
given by 4y = 6x 8 and a line given by
2x + 3y = 6
Determining relationship between
intersecting lines
Determine relationship between a line given
by y = 2x + 4 and a line given by 3x + 4y =
12
Determining intercep point between 2 lines Determine intercept point coordinat
between a line given by x + y =3 and a line
given by y = 2x -1
Acknowledge, Palembang, 2010
Head Master Teacher Practitioner
Drs. Basyaruddin, M.Si Arfani, S. Pd Rosmalia Septiana
NIP. 131909558 NIP. 131786043 NIM. 06071008028
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LESSON PLAN
Name of School : Junior High School 9 Palembang
Subject : Mathematics
Grade / Semester : VIII / 1
Time Allocation : 2 x 40 minutes
Meeting : 40
Standard Competence
Understanding algebra form, relation, function, and equation of straight lines
Basic Competence
Determining gradient, straight lines equation and graph
Indicator
1. Determining the demand function
2. Determining the supply function
A.Learning Objective1. Students be able to determine demand function
2.
Students be able to determine the supply function
B.Learning MaterialLinear Equations
Application of linear equations
C.Teaching Learning StrategiesDemonstration, question and answer
D.Teaching Learning ActivitiesIntroduction
a. Teacher informs learning objectives
b. Teacher reviews the prerequsite material
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Main Activity
Teacher Students
Discusses with the students about
application of linear equation in daily
life
Discuss with the teacher
Explains how to determine the
demand function
Give attention
Ask students to do exercises about
demand function
Do exercises
Chooses some of students to answer
the question
Answer the exercises, the other correct their
answer
Explains how to determine the supply
function
Give attention
Ask students to do exercises about
supply function
Do exercises
Chooses some of students to answer
the question
Answer the exercises, the other correct their
answer
Closing
a. The teacher guides the students to make a summary of the material.
b. Teacher gives homework
c. Teacher informs the next material for next meeting.
E.Sources, Materials, Toolsa. Student book
b.
Ruler
c. Grid paper
d. LCD
F.Assesmenta. The technical of assesment
Written assesment
Show the ability
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b. The form of assesment
Questions in examples and exercises
c. Instrument
Indicator InstrumentDetermining the demand function Draw the graph of demand function Q
= 301,5P
Determine the highest possible
demanded amount
Determine the highest posible price P
in thousand rupiahs
Determining the supply function A supply function for acertain good is given
by Q = -25 + 5P
Draw its corresponding graph
At what price seller are not willing to
sell their good to the market
What is the amount of good supplied
as it is offered at a price o 15
Acknowledge, Palembang, 2010
Head Master Teacher Practitioner
Drs. Basyaruddin, M.Si Arfani, S. Pd Rosmalia Septiana
NIP. 131909558 NIP. 131786043 NIM. 06071008028
8/3/2019 Lesson Plan Full
33/66
LESSON PLAN
Name of School : Junior High School 9 Palembang
Subject : Mathematics
Grade / Semester : VIII / 1
Time Allocation : 2 x 40 minutes
Meeting : 42 - 44
Standard Competence
Understanding System of Linear Equations in Two Variables and its application on
problem solving
Basic Competence
Finalizing System of Linear Equations in Two Variables
Indicator
1. Determining difference between linear equations in one variable and linear equations
in two variable
2. Determining solution of linear equations in two variable
3.
Determining difference between linear equations in two variable and system oflinear equations in two variable
4. Determining solution of a system of linear equations in two variable
A.Learning Objective1. Students be able to determine difference between linear equations in one variable
and linear equations in two variable
2. Students be able to determine solution of linear equations in two variable
3. Students be able to determine difference between linear equations in two variable
and system of linear equations in two variable
4. Students be able to determine solution of a system of linear equations in two variable
B.Learning Material System of Linear Equations in Two Variables
C.Teaching Learning StrategiesDemonstration, question and answer
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D.Teaching Learning ActivitiesIntroduction
a. Teacher informs learning objectives
b. Teacher reviews the prerequsite material
Main Activity
Teacher Students
Recall the student about linear
equations
Remembering previous material
Asks the students the difference
between linear equations in one
variable and linear equations in two
variable
Discuss with their friend to answer the
questions
Explains how to find solution of linear
equations in two variable
Give attention
Explains system of linear equations in
two variable
Give attention
Ask the students the difference
between linear equations in two
variable and system of linear
equations in two variable
Answer the question
Explains how to find solution of
system of linear equations in two
variable
Give attention
Ask students to do exercises 1 and
guide them
Do execises
Closing
a. The teacher guides the students to make a summary of the material.
b. Teacher gives homework
c. Teacher informs the next material for next meeting.
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E.Sources, Materials, Toolsa. Student book
b. Ruler
c. Grid paper
d. LCD
F.Assesmenta. The technical of assesment
Written assesment
Show the ability
b. The form of assesment
Questions in examples and exercises
c. Instrument
Indicator Instrument
Determining difference between linear
equations in one variable and linear
equations in two variable
Can you explain the difference between
linear equations in one variable and linear
equations in two variable
Determining solution of linear equations in
two variable
Find as many solutions as possible of x + y
= 4
Determining difference between linear
equations in two variable and system of
linear equations in two variable
Tell the differences between x + y = 7 and
{
Determining solution of a system of linear
equations in two variable
Do x = 6 and y = 2 form a solution to the
system of linear equations consisting of x +
2y = 10 and 2xy = 5
Acknowledge, Palembang, 2010
Head Master Teacher Practitioner
Drs. Basyaruddin, M.Si Arfani, S. Pd Rosmalia SeptianaNIP. 131909558 NIP. 131786043 NIM. 06071008028
8/3/2019 Lesson Plan Full
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LESSON PLAN
Name of School : Junior High School 9 Palembang
Subject : Mathematics
Grade / Semester : VIII / 1
Time Allocation : 2 x 40 minutes
Meeting : 45 - 47
Standard Competence
Understanding System of Linear Equations in Two Variables and its application on
problem solving
Basic Competence
Solving System of Linear Equations in Two Variables
Indicator
1. Solving system of linear equations in two variables using graph method
2. Solving system of linear equations in two variables with fractions
A.Learning Objective1.
Students be able to solve system of linear equations in two variables using graphmethod
2. Student be able to solving system of linear equations in two variables with fractions
B.Learning Material System of Linear Equations in Two Variables
C.Teaching Learning StrategiesDemonstration, question and answer
D.Teaching Learning ActivitiesIntroduction
a. Teacher informs learning objectives
b. Teacher reviews the prerequsite material
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Main Activity
Teacher Students
Explains how to solve system of linear
equations in two variables using
method graph
Give attention
Give an example how to solve system
of linear equations in two variables
using method graph
Give attention
Shows the students the the solution
graph by using Winplot Software
Give attention
Ask the student what the solution if
the lines are parralel and coincident
Discuss with their friend to answer the question
Explains how to solve system of linear
equations in two variables with
fractions
Give attention
Give an example how to solve system
of linear equations in two variables
with fractions
Give attention
Give exercises Do exercises
Closing
a. The teacher guides the students to make a summary of the material.
b. Teacher gives homework
c. Teacher informs the next material for next meeting.
E.Sources, Materials, Toolsa. Student book
b. Ruler
c. Grid paper
d. LCD
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F.Assesmentg. The technical of assesment
Written assesment
Show the abilityh. The form of assesment
Questions in examples and exercises
i. Instrument
Indicator Instrument Score
Solving system of linear
equations in two variables
using graph method
Find the solution of the following system of
linear equations in two variable by using graph
method 2y = -3x + 12 and x + 2y =4
50
Solving system of linear
equations in two variables
with fractions
Find the solution of the root of each of the
system of equations by using alliance method
(elimination and substitution)
50
j. Scorring
No. Steps Score
1 Write the known from the question
2y = -3x + 12 and x + 2y = 4
2
Change the explicit form to implicit form2y = -3x + 12 (exp) 3x + 2y = 12 (imp)
x + 2y = 4(imp)
3
Determine its intercept by using the table
3 x + 2y = 12
x 0 4
y 6 0
(x,y) (0,6) (4,0)
10
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x + 2y = 4
x 0 4
y 2 0(x,y) (0,2) (4,0)
Put the points to the coordinat cartesius 10
Draw the graph 5
Determine the intersect point by looking at the graph on coordinat
cartesius
15
Make the conclusion
thus, the solution to the above system of equations is given by x = 4
and y = 0
5
2 Write the known from the question
2
Change the equation into a new equivalent equation with no fractions
( )
( )
13
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Eliminate one of variables
15
Substituting y = -10 to one of the equation
y = -10
5x + 2y = 10
5x + 2 (-10) = 10
5x20 = 10
5x = 30
x = 30/5
x = 6
15
Make the conclusion
thus, the solution to the above system of equations is given by x = 6
and y = -10
5
Acknowledge, Palembang, 2010
Head Master Teacher Practitioner
Drs. Basyaruddin, M.Si Arfani, S. Pd Rosmalia Septiana
NIP. 131909558 NIP. 131786043 NIM. 06071008028
8/3/2019 Lesson Plan Full
41/66
LESSON PLAN
Name of School : Junior High School 9 Palembang
Subject : Mathematics
Grade / Semester : VIII / 1
Time Allocation : 2 x 40 minutes
Meeting : 48 - 49
Standard Competence
Understanding System of Linear Equations in Two Variables and its application on
problem solving
Basic Competence
Solving System of Linear Equations in Two Variables
Indicator
1. Determining difference between linear equations in two variable and system of
linear equations in two variable.
2. Determining solution of a system of linear equations in two variable using graph
method.
3.
Determining solution of a system of linear equations in two variable usingsubstitution method.
A.Learning Objective1. Students be able to determine difference between linear equations in two variable
and system of linear equations in two variable
2. Students be able to determine solution of a system of linear equations in two variable
using graph method
3. Students be able to determine solution of a system of linear equations in two variable
using substitution method
B.Learning Material System of Linear Equations in Two Variables
C.Teaching Learning StrategiesDemonstration, question and answer
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D.Teaching Learning ActivitiesIntroduction
a. Teacher informs learning objectives
b. Teacher reviews the prerequsite material
Main Activity
Teacher Students
Gives examples about SLETV in daily
life
Think another examples
Ask student about linear equations Answer the questions
Asks the students the difference
between linear equations in one
variable and linear equations in two
variable
Discuss with their friend to answer the
questions
Explains how to determine solution of
a system of linear equations in two
variable using graph method
Give attention
Give an example how to solve system
of linear equations in two variables
using method graph
Give attention
Shows the students the the solution
graph by using Winplot Software
Give attention
Ask the student what the solution if
the lines are parralel and coincident
Discuss with their friend to answer the
question
Explains how to find solution of
system of linear equations in two
variable using substitution method
Give attention
Give an example how to solve system
of linear equations in two variables
using substitution graph
Give attention
Gives exercises Do execises
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Closing
a. The teacher guides the students to make a summary of the material.
b. Teacher gives homework
c. Teacher informs the next material for next meeting.
E.Sources, Materials, Toolsa. Student book
b. Ruler
c. Grid paper
d. LCD
F.Assesmenta. The technical of assesment
Written assesment
Show the ability
b. The form of assesment
Questions in examples and exercises
c. Instrument
Indicator Instrument Score
Determining difference
between linear equations in
two variable and system of
linear equations in two
variable
Can you explain the difference between linear
equations in two variable and system of linear
equations in two variable
10
Determining solution of a
system of linear equations in
two variable using graph
method.
Find the solution of the following system of
linear equations in two variable by using graph
method 2y = -3x + 12 and x + 2y =4
45
Determining solution of a
system of linear equations in
two variable using substitution
method.
Find the solution of the following system of
linear equations in two variable by using
substitution method 5x + y = 10 and 4x2y =
- 6
45
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d. Scorring
No. Steps Score
1 LETV :
Only one linear equation
has an infinite number of solution
the solution to a LETV is independenton other LETVs
SLETV :
Two or more linear equations
Have only one pair of values as their solution
The solution must simultaneously satisfy both LETVs
10
2 Write the known from the question
2y = -3x + 12 and x + 2y = 4
2
Change the explicit form to implicit form
2y = -3x + 12 (exp) 3x + 2y = 12 (imp)
x + 2y = 4(imp)
3
Determine its intercept by using the table
3 x + 2y = 12
x 0 4
y 6 0
(x,y) (0,6) (4,0)
x + 2y = 4
x 0 4
y 2 0
(x,y) (0,2) (4,0)
10
Put the points to the cartesius plane 10
Draw the graph 5
Determine the intersect point by looking at the graph on cartesius plane 10
Make the conclusion
thus, the solution to the above system of equations is given by x = 4
and y = 0
5
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3 Write the known from the question
5x + y = 10 and 4x2y = - 6
2
Replacing (substituting)y
Change 5x + y = 10 (imp) to y = -5x + 10
3
Substituting y = -5x + 10 into the equation 4x2y = - 6
4x2 (-5x + 10) = -6
4x + 10x20 = -6
14x = 14
x = 1
18
Substituting x = 1 into one of the equations
x = 1
4x2y = -6
4 (1)2y = -6
42y = -6
-2y = -10
y = 5
17
Make the conclusion
thus, the solution to the above system of equations is given by x = 1 and
y = 5
5
Acknowledge, Palembang, 2010
Head Master Teacher Practitioner
Drs. Basyaruddin, M.Si Arfani, S. Pd Rosmalia Septiana
NIP. 131909558 NIP. 131786043 NIM. 06071008028
8/3/2019 Lesson Plan Full
46/66
LESSON PLAN
Name of School : Junior High School 9 Palembang
Subject : Mathematics
Grade / Semester : VIII / 1
Time Allocation : 2 x 40 minutes
Meeting : 50 - 51
Standard Competence
Understanding System of Linear Equations in Two Variables and its application on
problem solving
Basic Competence
Solving System of Linear Equations in Two Variables
Indicator
1. Determining solution of a system of linear equations in two variable using
elimination method.
2. Determining solution of a system of linear equations in two variable with fractions
A.Learning Objective1. Students be able to determine solution of a system of linear equations in two variable
using elimination method
2. Students be able to determine solution of a system of linear equations in two variable
with fractions
B.Learning MaterialSystem of Linear Equations in Two Variables
C.Teaching Learning StrategiesDemonstration, question and answer
D.Teaching Learning ActivitieIntroduction
a. Teacher informs learning objectives
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b. Teacher reviews the prerequsite material
Main Activity
Teacher Students
Explains how to determine solution of
a system of linear equations in two
variable using elimination method
Give attention
Give an example how to solve system
of linear equations in two variables
using elimination method
Give attention
Shows the students the the solution
graph by using Winplot Software
Give attention
Explains how to find solution of
system of linear equations in two
variable with fractions
Give attention
Give an example how to solve system
of linear equations in two variables
with fractions
Give attention
Gives exercises Do execises
Closing
a. The teacher guides the students to make a summary of the material.
b. Teacher gives homework
c. Teacher informs the next material for next meeting.
E.Sources, Materials, Toolsa.
Student book
b. Ruler
c. Grid paper
d. LCD
F.Assesmenta. The technical of assesment
Written assesment
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Show the ability
b. The form of assesment
Questions in examples and exercises
c.
InstrumentIndicator Instrument Score
Determining solution of a
system of linear equations in
two variable using elimination
method.
Find the solution of the following system of
linear equations in two variable by using
elimination method 4y = 2x 10 and x = 9
2y
50
Solving system of linear
equations in two variables
with fractions
Find the solution of the root of each of the
system of equations by using alliance method
(elimination and substitution)
50
d.
Scorring
No. Steps Score
1 Write the known fromthe question
4y = 2x10 and x = 92y
2
Change the explicit form to implicit form
4y = 2x10 2x4y = 10
x = 92y x + 2y = 9
8
Elimination one of variable
|
5
15
15
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Make the conclusion
thus, the solution to the above system of equations is given by x = 7 and
y = 1
5
2 Write the known from the question
2
Change the equation into a new equivalent equation with no fractions
( )
( )
13
Eliminate one of variables
15
Substituting y = -10 to one of the equation
y = -10
5x + 2y = 10
5x + 2 (-10) = 10
5x20 = 10
5x = 30
x = 30/5
15
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x = 6
Make the conclusion
thus, the solution to the above system of equations is given by x = 6 and
y = -10
5
Acknowledge, Palembang, 2010
Head Master Teacher Practitioner
Drs. Basyaruddin, M.Si Arfani, S. Pd Rosmalia Septiana
NIP. 131909558 NIP. 131786043 NIM. 06071008028
8/3/2019 Lesson Plan Full
51/66
LESSON PLAN
Name of School : Junior High School 9 Palembang
Subject : Mathematics
Grade / Semester : VIII / 1
Time Allocation : 2 x 40 minutes
Meeting : 52
Standard Competence
Understanding System of Linear Equations in Two Variables and its application on
problem solving
Basic Competence
Solving System of Linear Equations in Two Variables
Indicator
Determining solution of application of system of linear equations in two variable
A.Learning ObjectiveStudents be able to determine solution of application of a system of linear equations
in two variable
B.Learning MaterialApplication of System of Linear Equations in Two Variables
C.Teaching Learning StrategiesDemonstration, question and answer
D.Teaching Learning ActivitieIntroduction
a. Teacher informs learning objectives
b. Teacher reviews the prerequsite material
Main Activity
Teacher Students
Give example of SLETV problem in Give attention and another example
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daily life
Explain how to solve SLETV problem
in daily life by build its mathematical
models
Give attention
Give exercises Do exercises
Closing
a. The teacher guides the students to make a summary of the material.
b. Teacher gives homework
c. Teacher informs the next material for next meeting.
E.Sources, Materials, ToolsStudent book
F.Assesmenta. The technical of assesment
Written assesment
Show the ability
b. The form of assesment
Questions in examples and exercises
c. Instrument
Indicator Instrument Score
Determining solution of
application of system of linear
equations in two variable
Asti and Anton work at shoes factory. Every
hour, Asti can make 3 pairs of shoes and
Anton can make 4 pairs of shoes. Total of their
office hour is 16 hours a day. If Asti and
Anton can make 55 pairs of shoes and they
have different office hours, determine Asti and
Anton office hours !
100
d. Scorring
No. Steps Score
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1 Build its mathematical models
Suppose :
Asti office hour = x
Anton office hour = y
10
Total of their office hour is 16 hours
x + y = 16
15
Asti can make 3 pairs of shoes
Anton can make 4 pair of shoes
3x + 4y = 55
20
Build SLETV
x + y = 16
3x + 4y = 55
5
Determine the solution
Eliminating one of variable
|
15
15
Substituting y = 7
x + y = 16
x + (7) = 16
x = 167
x = 9
15
Make the conclusion
thus, Asti office hour is 9 hours and Anton office hour is 7 hours
5
Acknowledge, Palembang, 2010
Head Master Teacher Practitioner
Drs. Basyaruddin, M.Si Arfani, S. Pd Rosmalia Septiana
NIP. 131909558 NIP. 131786043 NIM. 06071008028
8/3/2019 Lesson Plan Full
54/66
LESSON PLAN
Name of School : Junior High School 9 Palembang
Subject : Mathematics
Grade / Semester : VIII / 1
Time Allocation : 2 x 40 minutes
Meeting : 53
Standard Competence
Understanding System of Linear Equations in Two Variables and its application on
problem solving
Basic Competence
Solving System of Linear Equations in Two Variables
Indicator
Determining solution of system of linear equations in two variable
A.Learning ObjectiveStudents be able to determine solution of a system of linear equations in two variable
B.Learning MaterialSystem of Linear Equations in Two Variables
C.Teaching Learning StrategiesDemonstration, question and answer
D.Teaching Learning ActivitieIntroduction
a. Teacher informs learning objectives
b. Teacher reviews the prerequsite material
Main Activity (100 minutes)
Teacher Students
Give Test about SLETV Do the test
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Closing
d. Teacher informs the next material for next meeting.
E.Sources, Materials, ToolsPaper
Ruler
F.Assesmenta. The technical of assesment
Written assesment
Show the ability
b. The form of assesment
Questions in examples and exercises
c. Instrument
No Instrument Score
1 Find the solution ofx + y = 7and x + 4y = 4 by using graph method ! 25
2 Find the solution of
and 3x y + 5 = 0 by using
elimination and substitution method !
35
3 5 books and 3 pencils are sold for Rp 19.250, 00, while 2 books and a
pencil at the same store are sold for Rp 7.250,00. If Irfan want to buy 4
books and 2 pencils and he pay with Rp. 50.000,00, how much money
will be returning to him ?
40
d. Scorring
1 Given :
x + y = 7
x + 4y = 4
2
Question :
Solution of the system by using graph method
2
Answer :
x + y = 7
x 0 7
3
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y 7 0
(x,y) (0,7) (7,0)
x + 4y = 4
x 0 4y 1 0
(x,y) (0,1) (4,0)
3
Draw the graph 10
Make the conclution
thus, the solution is given by x = 8 and y = -1
5
2 Given :
3xy + 5 = 0
2
Question :
Solution of the system by using elimination and substitution method
2
Answer :
Make new equivalent equation :
( ) (
)
3x2y = 94
3x2y = 5
15
3xy + 5 = 0 3xy = -5 1
Elimination system
3x2y = 5
3xy = -5
- y = 10
y = - 10
5
Substituting y = - 5
3xy = -5
5
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3x(-10) = - 5
3x + 10 = -5
3x = - 510
3x = - 15
x = -5
Make conclusion
thus, the solution is given by x = -5 and y = -10
5
3 Given :
5 books and 3 pencils = Rp 19.500
2 books and 2 pancils = Rp 7250
2
Question :
how much money will be returning to Irfan if he pay with Rp 50.000
2
Answer :
Suppose
Book = a
Pencil = b
3
Make mathematical models
5a + 3b = 19500
2a + b = 7250
3
Elimination system
5a + 3b = 19500 x1
2a + b = 7250 x3
5a + 3b = 19500
6a + 3b = 21750
-a = - 2500
a = 2500
10
Substitutituting b = 2500
2a + b = 7250
2(2500) + b = 7250
5000 + b = 7250
b = 72505000
b = 1250
5
4 book and 2 pencils price is 5
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4 (2500) + b (1250)
10000 + 4500
14500
The money will be returning
5000014500
35500
5
Make conclusion
thus the money will be returning is Rp 35.500,00
5
Acknowledge, Palembang, 2010
Head Master Teacher Practitioner
Drs. Basyaruddin, M.Si Arfani, S. Pd Rosmalia Septiana
NIP. 131909558 NIP. 131786043 NIM. 06071008028
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LESSON PLAN
Name of School : Junior High School 9 Palembang
Subject : Mathematics
Grade / Semester : VIII / 1
Time Allocation : 2 x 40 minutes
Meeting : 54 - 63
Standard Competence
Using Pythagorean Theorem on problem solving
Basic Competence
Using Pythagorean Theorem to determine right triangle length
Indicator
Finding Pythagorean Theorem
A.Learning ObjectiveStudents be able to find Pythagorean Theorem
B.Learning MaterialPythagorean Theorem
C.Teaching Learning StrategiesDemonstration, question and answer
D.Teaching Learning ActivitieIntroduction
a. Teacher informs learning objectives
b. Teacher reviews the prerequsite material
Main Activity
Teacher Students
Grouping the students into 5 group Make groups
Give different exercises to each
groups
Do exercises
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Help students Discuss the exercises in group
Choose some of group to presentate
their discussion
Some of the group presentate their discussion
Closing
a. The teacher guides the students to make a summary of the material.
b. Teacher gives homework
c. Teacher informs the next material for next meeting.
E.Sources, Materials, ToolsStudent book
LCD
F.Assesmenta. The technical of assesment
Show the ability
b. The form of assesment
Questions in examples and exercises
c. Instrument
Students presentation
d. Scorring
Observating the students while they presentate their presentation
Acknowledge, Palembang, 2010
Head Master Teacher Practitioner
Drs. Basyaruddin, M.Si Arfani, S. Pd Rosmalia Septiana
NIP. 131909558 NIP. 131786043 NIM. 06071008028
8/3/2019 Lesson Plan Full
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LESSON PLAN
Name of School : Junior High School 9 Palembang
Subject : Mathematics
Grade / Semester : VIII / 1
Time Allocation : 2 x 40 minutes
Meeting : 64
Standard Competence
Using Pythagorean Theorem on problem solving
Basic Competence
Using Pythagorean Theorem
Indicator
1. Finding the length of a side of a right triangle
2. Identifying types of triangle
3. Comparing the sides of a right triangle with one of its angles measuring 300, 45
0, 60
0
4. Using pythagorean theorem on plane and space figures
5. Appliying Pythagorean Theorem
A.Learning Objective1. Students be able to find the length of a side of a right triangle
2. Student be able to identify types of triangle
3. Students be able to compare the sides of a right triangle with one of its angles
measuring 300, 45
0, 60
0
4. Students be able to use Pythagorean Theorem on Plane Figures and Space Figures
5. Students be able to apply Pythagorean Theorm
B.Learning MaterialPythagorean Theorem
C.Teaching Learning StrategiesDemonstration, question and answer
D.Teaching Learning ActivitieIntroduction
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a. Teacher informs learning objectives
b. Teacher reviews the prerequsite material
Main Activity
Teacher Students
Give test Do test
Closing
Teacher informs the next material for next meeting.
E.Sources, Materials, ToolsStudent book
Students activity sheet
F.Assesmenta. The technical of assesment
Show the ability
b. The form of assesment
Questions in examples and exercises
c. Instrument
No Instrument Score
1 Write The Pythagorean Theorem for linesAC, AB, BC, CD, and AD
2 Look at the picture of steel frames
BC = 9,6 cm
AC = 12 cm
CD = 16 cm
AE = 25 cm
Find the lenght from all of steel frames !
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3 Which of the following triple forms Pythagorean triples ?
a. 15, 36, 39
b. 10, 20, 10c. 7, 24, 25
d. 12, 10, 6
4 Which of the following triple form a right triangle, an acute triangle, or an
obtuse triangle ?
a. 10, 8, 6
b. 9, 12, 12
c. 15, 12, 9
d. 5, 8, 10
e. 6, 12, 10
5 Find the lenght ofx, y, z, and w from the following picture
6 In the cuboidABCD.EFGH, AB = 8 cm, BC = 6 cm, CG = 24 cm,
a. Draw the cuboid
b. Find the lenght of AC and AG
c. Find the area of ACGE
7 A ship travels a distance of 11 km to the west, then 8 km to the south. Find
the distance from the starting point to the ending point !
d.Scorring
No Step Score
1 AC2
= AB2
+ BC2
AB2
= AC2BC
2
BC2
= AC2AB
2
CD2
= AC2AD
2
AD2
= AC2
CD2
10
2 AB2
= AC2BC
2
AB2
= (12)2(9,6)
2
AB = 7,2
AD2
= AC2
+ CD2
AD2
= (12)2
+ (16)2
AD = 20
ED
2
= AE
2
AD
2
15
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ED2
= (25)2(20)
2
ED = 15
The lenght
AB + AC + AD + AE + BC + CD + DE
7,2 + 12 + 20 + 25 + 9,6 + 16 + 15
104,8
3 a. 15, 36, 39
152
+ 362
= 392
225 + 1296 = 1521
1521 = 1521
Pythagorean Triple
b. 10, 20, 1010
2+ 102 = 202
100 + 300 = 400
Pythagorean Triple
c. 7, 24, 25
72+ 24
2= 25
2
49 + 576 = 625
Pythagorean Triple
d. 12, 10, 6
62+ 10
2= 12
2
36 + 100 = 144
136 144
Not Pythagorean Triple
20
4 a. 10, 8, 6
62+ 8
2= 10
2
36 + 64 = 100
100 = 100
Right triangle
25
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b. 9, 12, 12
92
+ 122
= 122
81 + 144 = 144
225 > 144
Acute triangle
c. 15, 12, 9
92
+ 122
= 152
81 + 144 = 225
225 = 225
Right triangle
d. 5, 8, 10
52+ 8
2= 10
2
25 + 64 = 100
89 < 100
Obtuse triangle
e. 6, 12, 10
6
2
+ 10
2
= 12
2
36 + 100 = 144
136 < 144
Obtuse triangle
5 W = 10X = 20
Y = 20Z = 10
10
6 a. Draw the cuboid
b. Find the lenght of AC and AG
AC2
= AB2
+ BC2
AC2
= (8)2
+ (6)2
AC2
= 100
AC = 10
Thus, AC = 10 cm
25
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AG2
= AC2
+ CG2
AG2
= AB2
+ BC2
+ CG2
AG2
= (8)2 + (6)2
+ (24)2
AG2
= 676
AG = 26
Thus, AG = 26 cm
c. Find the area of ACGE
ACGE = AC CGACGE = 10 24ACGE = 240
Thus the area of ACGE is 240 cm2
7 Draw the picture
AC2 = AB2
+ BC2
AC2
= 112
+ 82
AC2
= 121 + 64
AC2
=185
AC = Thus, the distance is km
10
Acknowledge, Palembang, 2010
Head Master Teacher Practitioner