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Mathematics Teaching Planning

     Skills Development




                  Group 3
 Elwan Stiadi              A1C010015
 Ahyar Formadi             A1C010016
 Tendi Novika A            A1C010013
 Intan Tia Enggraini       A1C010025
 Eka Noprianti PP          A1C010024


 Semester           :5
 Lecturer           : Dewi Rahimah S.Pd, M.Ed




Program Studi Pendidikan Matematika
Fakultas Keguruan dan Ilmu Pendidikan
         Universitas Bengkulu
                    2012
A. Activity : Demostrate this prop in front of class.
  ”SECOND MODEL INSTRUMENT/PROP OF PARALLELOGRAM AREA”
Function:
Second model instrument of parallelogram area can be used for study
Geometry in the sixth grade elementary school. This model instrumentis
used to help students to derive a formula of parallelogram area.


In this part there is a affective aspect that is “to help student”
Cognitive aspect is “to derive a formula of parallelogram area”.
Picture :




                                                               t




                        a

                                           This model instrument consist of a frame, 2
                                           pieces of large right triangleare congruent, a
                                           piece of small right triangle, and a piece of
                                           right trapezoid.




                                      There is a psychomotor aspect in this
                                      part, because to make all of this part of
                                      this prop we make a design, to measure
                                      length of the parts, and to cut the paper.
Way of usage :
A. Indicator
   Students can derive a formula of parallelogram area with a approach
   of rectangle area. (Cognitive aspect)                            This part there
B. Terms that must be owned by students                             is a cognitive
                                                                    aspect, because
         Understand the concept of a rectangle area.                we    have    to
         Understand about parallelogram and its elments.            understand
                                                                    about       this
                                                                    material.
C. The steps of usage

      There is a psychomotor aspect in the part of step of usage,
      because we have to practice/demonstrate this prop (for step 1
      and 2). We must move/put the part of triangle to the frame.


   1. Place 2 pieces of large right triangle are congruent, a piece of
      small right triangle, and a piece of right trapezoid to the frame
      to form a parallelogram with base length is a and height is the
      distance between the base and top side is t. (Figure 1)




                                                                t




                        a

                                   Figure 1
2. Move piece of large right triangle, a piece of small right triangle,
       and a piece of right trapezoid to form a rectangle with length = a
       and width = t. (Figure 2)




                                                                t




                            a
                                       Figure 2
    3. Because of rectangle area is the product between length and
       width has been known before, so rectangle area at figure 2 is a x
       t.

        There is a cognitive aspect in this part, because we have to
        remember the material that we have known before.


    4. Considered that rectangle area as same as parallelogram area,
       therefore :
       Parallelogram area = a x t
       or
.
            L = base length x height


        There is a cognitive aspect in this part, because we have to
        make a conclution from our demonstrate/proof of this
        prop.
Addition:
Affective aspect :
   1. The attitude class when practicing.
   2. Discipline in practice of step by step of this props proof.


   B. Activity: Demonstrate a prop of (a + b)3 = a3 + 3a2b + 3ab2 + b3
      in front of class.


                     “(a + b)3 = a3 + 3a2b + 3ab2 + b3”


      Uses :
      To shows Algebra identity (a + b)3 = a3 + 3a2b + 3ab2 + b3
      geometrically as step to abstraction of the Algebra concept.


      There is a cognitive aspect in this part, because we have to
      understand about Algebra identity (a + b)3 = a3 + 3a2b + 3ab2 +
      b3
    Image :


                                     Blue


            Red

                                            Yellow
        Blue

            Green



                                        Red

                                     Blue
               Red
 Step of using / how to use :
      1. Put eighth of beams to the uncovered transparent box.
            There is psychomotor aspect in this part, because we have
            to put/move the beams to the uncovered transparent box.
      2. Maybe there is a student who false on putting the eighth of
            beams. As a teacher, we suppose to facilitate it so that
            student can put eighth of beams correctly to get the formula.


            There is a affective aspect in this part, because teacher
            suppose/help student so the student can put the beams
            correctly.
      3. We can see that red rectangular prism has volume           , blue
            rectangular prism has volume     , green rectangular prism has
            volume    , and yellow cube has volume    .


            There is a cognitive aspect in this part because we have to
            know the formula of rectangular prism volume and cube
            volume. And we must remember the colour each beams
            with the formula.
      4. We will find that all of the beams will occupy the transparent
            box, so we can conclude that


                      “(a + b)3 = a3 + 3a2b + 3ab2 + b3”


      There is a cognitive aspect in this part because we can make a
                                  3    3      2           2   3
      conclution that “(a + b) = a + 3a b + 3ab + b ”
Addition:
Affective aspect :
   1. The attitude class when practicing.
   2. Discipline in practice of step by step of this props proof.

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Task 1 PPM - Group 3 - Skill Development

  • 1. Mathematics Teaching Planning Skills Development Group 3 Elwan Stiadi A1C010015 Ahyar Formadi A1C010016 Tendi Novika A A1C010013 Intan Tia Enggraini A1C010025 Eka Noprianti PP A1C010024 Semester :5 Lecturer : Dewi Rahimah S.Pd, M.Ed Program Studi Pendidikan Matematika Fakultas Keguruan dan Ilmu Pendidikan Universitas Bengkulu 2012
  • 2. A. Activity : Demostrate this prop in front of class. ”SECOND MODEL INSTRUMENT/PROP OF PARALLELOGRAM AREA” Function: Second model instrument of parallelogram area can be used for study Geometry in the sixth grade elementary school. This model instrumentis used to help students to derive a formula of parallelogram area. In this part there is a affective aspect that is “to help student” Cognitive aspect is “to derive a formula of parallelogram area”. Picture : t a This model instrument consist of a frame, 2 pieces of large right triangleare congruent, a piece of small right triangle, and a piece of right trapezoid. There is a psychomotor aspect in this part, because to make all of this part of this prop we make a design, to measure length of the parts, and to cut the paper.
  • 3. Way of usage : A. Indicator Students can derive a formula of parallelogram area with a approach of rectangle area. (Cognitive aspect) This part there B. Terms that must be owned by students is a cognitive aspect, because Understand the concept of a rectangle area. we have to Understand about parallelogram and its elments. understand about this material. C. The steps of usage There is a psychomotor aspect in the part of step of usage, because we have to practice/demonstrate this prop (for step 1 and 2). We must move/put the part of triangle to the frame. 1. Place 2 pieces of large right triangle are congruent, a piece of small right triangle, and a piece of right trapezoid to the frame to form a parallelogram with base length is a and height is the distance between the base and top side is t. (Figure 1) t a Figure 1
  • 4. 2. Move piece of large right triangle, a piece of small right triangle, and a piece of right trapezoid to form a rectangle with length = a and width = t. (Figure 2) t a Figure 2 3. Because of rectangle area is the product between length and width has been known before, so rectangle area at figure 2 is a x t. There is a cognitive aspect in this part, because we have to remember the material that we have known before. 4. Considered that rectangle area as same as parallelogram area, therefore : Parallelogram area = a x t or . L = base length x height There is a cognitive aspect in this part, because we have to make a conclution from our demonstrate/proof of this prop.
  • 5. Addition: Affective aspect : 1. The attitude class when practicing. 2. Discipline in practice of step by step of this props proof. B. Activity: Demonstrate a prop of (a + b)3 = a3 + 3a2b + 3ab2 + b3 in front of class. “(a + b)3 = a3 + 3a2b + 3ab2 + b3” Uses : To shows Algebra identity (a + b)3 = a3 + 3a2b + 3ab2 + b3 geometrically as step to abstraction of the Algebra concept. There is a cognitive aspect in this part, because we have to understand about Algebra identity (a + b)3 = a3 + 3a2b + 3ab2 + b3  Image : Blue Red Yellow Blue Green Red Blue Red
  • 6.  Step of using / how to use : 1. Put eighth of beams to the uncovered transparent box. There is psychomotor aspect in this part, because we have to put/move the beams to the uncovered transparent box. 2. Maybe there is a student who false on putting the eighth of beams. As a teacher, we suppose to facilitate it so that student can put eighth of beams correctly to get the formula. There is a affective aspect in this part, because teacher suppose/help student so the student can put the beams correctly. 3. We can see that red rectangular prism has volume , blue rectangular prism has volume , green rectangular prism has volume , and yellow cube has volume . There is a cognitive aspect in this part because we have to know the formula of rectangular prism volume and cube volume. And we must remember the colour each beams with the formula. 4. We will find that all of the beams will occupy the transparent box, so we can conclude that “(a + b)3 = a3 + 3a2b + 3ab2 + b3” There is a cognitive aspect in this part because we can make a 3 3 2 2 3 conclution that “(a + b) = a + 3a b + 3ab + b ” Addition: Affective aspect : 1. The attitude class when practicing. 2. Discipline in practice of step by step of this props proof.