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LESSON PLAN


                  Education Level : Junior High School
                  Subject              : Mathematics
                  Grade/Semester       : VII/2
                  Time Alocation       : 25 minutes


A. Standar Competence        : Understanding relation between line and line, line
                               and angle, angle and angle, then determine the
                               size.
B. Basic Competence          : Determining the relation between two line, size
                               and the types of angle
C. Indikator
  1. Determining parallel, intersecting and skew lines
  2. Identifying the properties of position two lines
D. Purpose Of the Lesson
1. Cognitive Purposes
   a. Students can determine whether parallel, intersecting and skew lines.
   b. Students can identify position of two lines.


2. Affective Purposes
   a. To grow confidence to the students, namely when they present discuss
      result and give an opinion when discuss in their group and when discuss
      with teacher.
   b. To plant individual responsibility, namely when the students doing the
      quiz.
   c. To plant social responsibility, namely when the students discuss in their
      group they respect friends opinion, do task to group, can cooperate with
      other friends.
   d. The students appreciate to the teachers.
3. Psikomotor Purposes
    a. Students can draw the line based on the position.
E. Material
1. Parallel lines
   Two straight lines are parallel if :
   a. They never meet or intersect
   b. The perpendicular distance between the two lines is the same at all points on
      the lines.
   The symbol ‘//’ denotes ‘is parallel to’
   Example :
            A                                      B
            C                                      D


   AB // CD
2. Intersecting lines
   Two straight lines intersect if they meet or cross each other at one point. The
   point is called the point of intersection.
                                   U
                   X                           Z
                               V
   UV intercect XZ
3. Skew lines
   Two lines are skew if they non coplanar lines and they do not intersect
   Example :
                           H                   G
                   E                   F


                                               C
                       A                   B
                           D

   Example of the pairs of skew lines is AB and FG
F. Learning Method
  Model : Direct Instruction
  Metode : Expository, discussion, ask and answer
  Waktu : 25 minutes
G. Teaching and Learning Activity


                                                                  Time
                              Activity
                                                                Allocation
  Introduction
  1. Teacher make students ready to study, by asking the        4 minutes
     condition of students (who is absent today?) (respect
     to the friends aspect)
  2. Teacher reminds about points, line segment, and line.
     (the material is enclosure)
  3. Teacher inform to the students about the material that
     will be learn, namely about the position of two line.
  4. Teacher shows the slides to the students that contain
     pictures of railway, cross, and other picture that have
     relation with position two lines. Then, teacher asks
     How is the position of two iron bar on the railway?
     How is the position of two wood on cross?
     How is the position of the iron bar on the top of bridge
     and iron bar on the railway?
  Main Activity
  1. Teacher ask 4 students to go in front of the class. Then   2 minutes
     teacher give illustration about parallel line, by assume
     that the position of the students are any points on the
     line, then the line made from rope that hold by the
     students.
2. Teacher explain about parallel line based on                2 minutes
  illustration above.
3. Teacher shows a cube frame, then ask to the students
  Can you show me, which one we call parallel line in          3 minutes
  this cube frame? Is there intersection point of those
  lines? Are those lines placed on same plane? So what
  is parallel line?
4. Teacher shows the intersecting line on the first slide.     1 minutes
  Then teacher asks to the students, can you find the
  intersecting line in this cube frame? Teacher ask to the
  students what is intersecting line. (Students can
  identify the characteristic of intersecting line. If it is
  difficult for students, the teacher will give question to
  help)
5. Teacher shows skew lines using cube frame.                  1 minutes
6. Teacher devides the class into two group, each group        1 minutes
  is asked to do the activities in the worksheet
  (Worksheet is enclosure).
7. Each group discuss about the task and must present the      4 minutes
  discuss result.
8. Teacher gives explanation again about skew lines.           2 minutes
Closing
 1. Guiding the students to summarize learning outcomes           2 minutes
       by giving any question.
 2. Teacher give individually quiz to evaluate the                3 minutes
       knowledge of students about position of two lines.
       (Quiz is enclosured)




H. Assesment
  1.    Assesment Technique : Tes and Non tes
  2. Assesment Procedure :
                  Aspect that will be
       No.                                  Assesment Technique
                       evaluated
       1.     Understanding concept.           Individual test
              ( cognitive purposes)            using quiz.


       2.     Confident, individual        Observation (Non Tes)
              responsibility, social       by giving sign (V) on
              responsibility, teacher      likert scale assessment
              appreciating (affective      sheet.
              purposes)
       3.     Ability to draw position of Individual   test   using
              two lines. (psikomotor       quiz.
              purposes)


  3. Assesment instrument : quiz, worksheet (enclosure)
I. Learning Source
      1. Wintarti, Atik. 2008. Contextual Teaching and learning Matematika Sekolah
            Menengah Pertama Kelas VII. Jakarta : Departemen Pendidikan Nasional
      2. Worksheet
      3. Media Pembelajaran : Material in Power Point
      4. Mathematics aid : Cube frame, rope.
J. Enclosure
    1. Material in Power Point
    2. Apersepsi material
    3. Worksheet
    4. Quiz
    5. Affective assesment sheet
    6. Answer key and heading assesment.


Known                                                Surakarta, 4 April 2012
Headmaster                                                   Teacher


.............................                            Augistri Putri P
NIP.                                                     NIM. K1309102
LIKERT SCALE OF AFFECTIVE ASSESMENT


NAME                 : ………………..
CLASS                : ………………..


               Give sign (V) on criteria that match with ability of students
  No                                Question                          1   2    3   4

   1       Is student confidence when he/she present the discuss
           result?

   2       Does the student give opinion in their group when
           he/she discusses?

   3       Does the student give opinion when he/she discusses
           in class with teacher?

   4       Does the student do the quiz?

   5       Does the student respect to friends’s opinion?

   6       Does the student do group assignment?

   7       Can student cooperate with others?

   8       Does student appreciate to the teacher?

Note :
1 : less
2 : enough
3 : good
4 : very good


                               Final score =
STUDENTS WORKSHEET
Group         : ………………….
Members       : 1. ………………….
              2. .…………………
              3. …………………


                              SKEW LINES

Look The Picture bellow!!!

              H                                              G
                                                         G


          E   G                                  F




              D                                               C



     A                                               B

1. AB and FG are two skew edges. Find other 5 pairs of skew edges!
   ……………………………………………………………………….
   ……………………………………………………………………….
2. Is there any intersecting point on those pairs of skew edges?
   ……………………………………………………………………….
   ……………………………………………………………………….
3. Do the lines are parallel?
   ………………………………………………………………………
4. Are the pairs of skew edges placed on the same plane?
   ………………………………………………………………………
   ………………………………………………………………………
5. So, What is skew lines?
    ………………………………………………………………………
    ………………………………………………………………………
ANSWER KEY OF WORKSHEET


1. The pairs of edges are :
   AB and EH,          GH and DA, DH and BC
   DC and FG,          GH and CB,     DH and FG
   DC and EH,          AE and FG,     BF and AD                          [15]
   EF and AD,          AE and BC,     CG and AD
   EF and BC,          DH and BC,     CG and EH
   (Only choose 5 pairs)
2. No, there is not                                                      [10]
3. No, they are not                                                      [10]
4. The skew lines are lines that do not intersect and do not parallel.   [25]


   Value =
INDIVIDUAL QUIZ
Name : ………………..
Class : ………………..


1. Name all the pairs of parallel lines in the following figure!


           B                                    C
                                            G


A                                     D
                        F
    Answer : ………………………………………………………………
               ……………………………………………………………….
               ………………………………………………………………..
2. Look at picture bellow!
                         U




                         X
               V                       Z




                          W
    Point X is intersection point between line …. and line ….
    So, the position of those line is ….
3. Please draw a line that parallel to line bellow! (Hint : Use a ruler to find parallel
   line)


                        S




                                                                          T
   How is the way you can find the parallel line?
   Answer : …………………………………………………………….
               ……………………………………………………………..
               ……………………………………………………………..


4. Show one pairs of skew edges, besed on cube bellow!
                 A               B
           D


                                 F
           H                 G


 Answer : ………………………………………………………………
               ………………………………………………………………
           ……………………………………………………………….
ANSWER KEY OF INDIVIDUAL QUIZ


1. AB // DC                                                           [10]
     AE // FG                                                         [10]
     BC // AD                                                         [10]


2. Point X is intersection point between line VZ and line UW          [10]
     So, the position of those line is intersecting lines             [10]
3.
                             S
                                                                      [15]




                                                                      T




We can find it by using ruler. We place the ruler side on the line ST and we can
draw a parallel line based on another side of ruler, so the distance of two line
always same.                                                          [15]


4. The pairs of skew lines are AB and EH                              [10]


     Value =
PERSEPTION MATERIAL

Teacher    : Do you still remember about points?

Students   : …………………………………….

Teacher    : Do the points have size or shape?

Students   :…………………………………….

Teacher    : Do the points have a position?

Students   : …………………………………….

Teacher    : Please draw two points with different position!!

            Now, draw a line through those two points!

Students   : ……………………………………..

Teacher    : If I have this line (teacher draw a line segment). What do you
           think? What is the different?




Students   : …………………………………….

Teacher    : (teacher explain abaout line segment)

           So, if I have cube frame (shows the cube frame), how many line
           segment are there?

Students   : ……………………………………..

Teacher    : So, we can say there are 12 line in this cube because line segment

            is a subset of line.

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  • 1. LESSON PLAN Education Level : Junior High School Subject : Mathematics Grade/Semester : VII/2 Time Alocation : 25 minutes A. Standar Competence : Understanding relation between line and line, line and angle, angle and angle, then determine the size. B. Basic Competence : Determining the relation between two line, size and the types of angle C. Indikator 1. Determining parallel, intersecting and skew lines 2. Identifying the properties of position two lines D. Purpose Of the Lesson 1. Cognitive Purposes a. Students can determine whether parallel, intersecting and skew lines. b. Students can identify position of two lines. 2. Affective Purposes a. To grow confidence to the students, namely when they present discuss result and give an opinion when discuss in their group and when discuss with teacher. b. To plant individual responsibility, namely when the students doing the quiz. c. To plant social responsibility, namely when the students discuss in their group they respect friends opinion, do task to group, can cooperate with other friends. d. The students appreciate to the teachers.
  • 2. 3. Psikomotor Purposes a. Students can draw the line based on the position. E. Material 1. Parallel lines Two straight lines are parallel if : a. They never meet or intersect b. The perpendicular distance between the two lines is the same at all points on the lines. The symbol ‘//’ denotes ‘is parallel to’ Example : A B C D AB // CD 2. Intersecting lines Two straight lines intersect if they meet or cross each other at one point. The point is called the point of intersection. U X Z V UV intercect XZ 3. Skew lines Two lines are skew if they non coplanar lines and they do not intersect Example : H G E F C A B D Example of the pairs of skew lines is AB and FG
  • 3. F. Learning Method Model : Direct Instruction Metode : Expository, discussion, ask and answer Waktu : 25 minutes G. Teaching and Learning Activity Time Activity Allocation Introduction 1. Teacher make students ready to study, by asking the 4 minutes condition of students (who is absent today?) (respect to the friends aspect) 2. Teacher reminds about points, line segment, and line. (the material is enclosure) 3. Teacher inform to the students about the material that will be learn, namely about the position of two line. 4. Teacher shows the slides to the students that contain pictures of railway, cross, and other picture that have relation with position two lines. Then, teacher asks How is the position of two iron bar on the railway? How is the position of two wood on cross? How is the position of the iron bar on the top of bridge and iron bar on the railway? Main Activity 1. Teacher ask 4 students to go in front of the class. Then 2 minutes teacher give illustration about parallel line, by assume that the position of the students are any points on the line, then the line made from rope that hold by the students.
  • 4. 2. Teacher explain about parallel line based on 2 minutes illustration above. 3. Teacher shows a cube frame, then ask to the students Can you show me, which one we call parallel line in 3 minutes this cube frame? Is there intersection point of those lines? Are those lines placed on same plane? So what is parallel line? 4. Teacher shows the intersecting line on the first slide. 1 minutes Then teacher asks to the students, can you find the intersecting line in this cube frame? Teacher ask to the students what is intersecting line. (Students can identify the characteristic of intersecting line. If it is difficult for students, the teacher will give question to help) 5. Teacher shows skew lines using cube frame. 1 minutes 6. Teacher devides the class into two group, each group 1 minutes is asked to do the activities in the worksheet (Worksheet is enclosure). 7. Each group discuss about the task and must present the 4 minutes discuss result. 8. Teacher gives explanation again about skew lines. 2 minutes
  • 5. Closing 1. Guiding the students to summarize learning outcomes 2 minutes by giving any question. 2. Teacher give individually quiz to evaluate the 3 minutes knowledge of students about position of two lines. (Quiz is enclosured) H. Assesment 1. Assesment Technique : Tes and Non tes 2. Assesment Procedure : Aspect that will be No. Assesment Technique evaluated 1. Understanding concept. Individual test ( cognitive purposes) using quiz. 2. Confident, individual Observation (Non Tes) responsibility, social by giving sign (V) on responsibility, teacher likert scale assessment appreciating (affective sheet. purposes) 3. Ability to draw position of Individual test using two lines. (psikomotor quiz. purposes) 3. Assesment instrument : quiz, worksheet (enclosure)
  • 6. I. Learning Source 1. Wintarti, Atik. 2008. Contextual Teaching and learning Matematika Sekolah Menengah Pertama Kelas VII. Jakarta : Departemen Pendidikan Nasional 2. Worksheet 3. Media Pembelajaran : Material in Power Point 4. Mathematics aid : Cube frame, rope. J. Enclosure 1. Material in Power Point 2. Apersepsi material 3. Worksheet 4. Quiz 5. Affective assesment sheet 6. Answer key and heading assesment. Known Surakarta, 4 April 2012 Headmaster Teacher ............................. Augistri Putri P NIP. NIM. K1309102
  • 7. LIKERT SCALE OF AFFECTIVE ASSESMENT NAME : ……………….. CLASS : ……………….. Give sign (V) on criteria that match with ability of students No Question 1 2 3 4 1 Is student confidence when he/she present the discuss result? 2 Does the student give opinion in their group when he/she discusses? 3 Does the student give opinion when he/she discusses in class with teacher? 4 Does the student do the quiz? 5 Does the student respect to friends’s opinion? 6 Does the student do group assignment? 7 Can student cooperate with others? 8 Does student appreciate to the teacher? Note : 1 : less 2 : enough 3 : good 4 : very good Final score =
  • 8. STUDENTS WORKSHEET Group : …………………. Members : 1. …………………. 2. .………………… 3. ………………… SKEW LINES Look The Picture bellow!!! H G G E G F D C A B 1. AB and FG are two skew edges. Find other 5 pairs of skew edges! ………………………………………………………………………. ………………………………………………………………………. 2. Is there any intersecting point on those pairs of skew edges? ………………………………………………………………………. ………………………………………………………………………. 3. Do the lines are parallel? ……………………………………………………………………… 4. Are the pairs of skew edges placed on the same plane? ……………………………………………………………………… ……………………………………………………………………… 5. So, What is skew lines? ……………………………………………………………………… ………………………………………………………………………
  • 9. ANSWER KEY OF WORKSHEET 1. The pairs of edges are : AB and EH, GH and DA, DH and BC DC and FG, GH and CB, DH and FG DC and EH, AE and FG, BF and AD [15] EF and AD, AE and BC, CG and AD EF and BC, DH and BC, CG and EH (Only choose 5 pairs) 2. No, there is not [10] 3. No, they are not [10] 4. The skew lines are lines that do not intersect and do not parallel. [25] Value =
  • 10. INDIVIDUAL QUIZ Name : ……………….. Class : ……………….. 1. Name all the pairs of parallel lines in the following figure! B C G A D F Answer : ……………………………………………………………… ………………………………………………………………. ……………………………………………………………….. 2. Look at picture bellow! U X V Z W Point X is intersection point between line …. and line …. So, the position of those line is ….
  • 11. 3. Please draw a line that parallel to line bellow! (Hint : Use a ruler to find parallel line) S T How is the way you can find the parallel line? Answer : ……………………………………………………………. …………………………………………………………….. …………………………………………………………….. 4. Show one pairs of skew edges, besed on cube bellow! A B D F H G Answer : ……………………………………………………………… ……………………………………………………………… ……………………………………………………………….
  • 12. ANSWER KEY OF INDIVIDUAL QUIZ 1. AB // DC [10] AE // FG [10] BC // AD [10] 2. Point X is intersection point between line VZ and line UW [10] So, the position of those line is intersecting lines [10] 3. S [15] T We can find it by using ruler. We place the ruler side on the line ST and we can draw a parallel line based on another side of ruler, so the distance of two line always same. [15] 4. The pairs of skew lines are AB and EH [10] Value =
  • 13. PERSEPTION MATERIAL Teacher : Do you still remember about points? Students : ……………………………………. Teacher : Do the points have size or shape? Students :……………………………………. Teacher : Do the points have a position? Students : ……………………………………. Teacher : Please draw two points with different position!! Now, draw a line through those two points! Students : …………………………………….. Teacher : If I have this line (teacher draw a line segment). What do you think? What is the different? Students : ……………………………………. Teacher : (teacher explain abaout line segment) So, if I have cube frame (shows the cube frame), how many line segment are there? Students : …………………………………….. Teacher : So, we can say there are 12 line in this cube because line segment is a subset of line.