LESSON PLAN (RPP) Education Units
: Junior High School RONNY HR (160384202017)
Subjects
: Mathematics
Class/Semester
: VIII/1
Subjects Matter
: Pythagorean theorem
Time
: 3 x 50 Minutes (1 Meeting)
A. CORE COMPETENCIES K1 :
Respect and appreciate the teachings of the religion he adheres to.
K2 :
Demonstrating honest behavior, discipline, responsibility, caring (tolerance, mutual cooperation), courtesy, confidence in interacting effectively with the social and natural environment within the range of relationships and existence.
K3 :
Understanding and applying knowledge (factual, conceptual, and procedural) based on the curiosity about science, technology, art, culture related to phenomena and events that appear to the eye.
K4 :
Processing, presenting, and reasoning in a concrete realm (using, parsing, stringing, modifying, and making) and abstract realms (writing, reading, counting, drawing, and making) in accordance with what is learned in school and other sources in the same angle viewpoint / theory.
B. COMPETENCE ACHIEVEMENT INDICATORS Basic Competence
Indicator of Achievement Competence
3.6 Check the truth of the theorem 3.6.1 Proving theorem Pythagoras uses Pythagoras and Pythagoras triple.
triangles equilateral.
4.6 Complete problem that related with 4.6.1 Using theorem Phytagoras to theorem Phytagoras and Phytagoras
count comparison the sides of the
triple
triangle right angle.
C. LEARNING OBJECTIVES By using the Scientific approach, the method of discussion, question and answer and by using the Cooperative Type STAD model, students are expected to grow curiosity, cooperation, and discipline. And can prove the Phytagorean theorem equilateral triangles and know the side-to-side comparisons of right-angle triangles with special angles. D. LEARNING MATERIALS 1. Proof of the Pythagorean theorem with Equilateral Triangles 2. Side-to-Side Comparison of Right-Angle Triangles with Special Angles E. MODEL APPROACH OR LEARNING METHOD Approach
: Scientific
Model
: Cooperative Type STAD
Method
: Group discussion, question and answer assignment.
F. INSTRUCTIONAL MEDIA Laptop, LCD, and LKS. G. LEARNING RESOURCES Math book for Class VIII Middle School/Mts, Reference book other.
H. LEARNING ACTIVITES Stage
Syntax Phase I : Delivier aim and motivate student.
1
2
Check presence students as attitude discipline.
3
Deliver aim learning that will achivied
4
Preliminary
Phase II: Present Information
Learning Activities Teacher Student Activities Activities Open lesson 1. Students with greetings answer opening and greetings and pray a act. pray.
5
2.
Students listen and respond to what is delivered by the teacher.
Apperction: Submit questionquestion for remind students about right triangle Motivation Motivate students with way push taste want know and think critical students make model mathematics that associated with theorem Phytagoras from something problem and
Allocation Time
25 Minutes
3
What students listen to the teacher delivered
Stage
Learning Activities Teacher Student Activities Activities solve problem that is.
Syntax
6
7
Phase III : Organizing students into groups-study groups.
8
CORE
9
Allocation Time
Teacher communicate aim learn and the results learn that expected students will achieve. Teacher inform way learn that will traveled (observation accompanied ask answer, assignment and discussion group, discussion task, display the results task with syntax model learning (STAD). Students in groups in a manner heterogenous, eacgh group consists 3-4 people and explain rules playing learning with STAD. Every group
4
Students grouped in a manner heterogeneous, each one group composed from 3-4 person and listen rules playing learning with STAD.
90 Minutes
Stage
Syntax
Phase IV: Guiding group work and study
Learning Activities Teacher Student Activities Activities given sheet activities 5. Every group students receive sheet (LKS) about student theorem activities Phytagoras. (LKS) about theorem Pyhtagoras. 10. Teacher 6. Student listen deliver what delivered material about teacher. theorem Phytagoras. 7. Students 11. Teacher ask discuss way students for find the find theorem theorem Phytagoras Phytagoras. through sheet activities 8. Student students discuss (LKS) settlement problem which is given teacher who is realated with use theorem Phytagoras.
12
13
Observe Teacher ask students observe a simulation in Sheet Student Activities (LKS). Teacher ask students take notes information what only
9.
10.
Observe Students observe a simulation in Sheet Student Activities (LKS).
Students notes information what only that obtained from the data
Allocation Time
Stage
Syntax
14
Learning Activities Teacher Student Activities Activities obtained from presented. data presented Ask Ask Teacher 11 Students ask facilitate questions that students for not yet ask thingunderstood thing you related task haven’t that given. understood related task that given.
15. Teacher fishing participants students for asking related with theorem Phytagoras
16
17
12. Student asking related with theorem Phytagoras.
Gather Information Teacher 13 directing students in each group for complete prombelm given Associate Teacher ask 14 every group for reasoning and complete problem on (LKS) with knowledge that has been thet have.
Gather Information Student in every group complete problem given.
Associate Student discuss together the group fot complete problem on Sheet Activities Students (LKS) with
Allocation Time
Stage
Learning Activities Teacher Student Activities Activities that knowledge been on have it. Communicate Communicate
Syntax
Phase V: Evaluation 18
19
Phase VI : 20 Give Awards
21
Teacher ask on wrong one group for present the answer and group other requested to repond.
15
Teacher give a 16 question as checking understanding studentds about form phytagorean theorem Teacher guide 17 students for conclude the results learning on meeting this.
Wrong one group present the results discussion and group that other respond and perfecting. Student do question individuals as training.
Student conclude the learning on results.
Teacher give away question for do reflection.
18
22
Teacher give away appreciation.
19
Student clap hand together.
23
Teacher end lesson with way associate material with
20
Student pray and answer regards from teacher
Cover
Allocation Time
Student answer reflection question.
35 Minutes
Stage
Learning Activities Teacher Student Activities Activities values religion and social.
Syntax
Allocation Time
I. ASSESSMENT OF LEARNING 1. ATTITUDE ASSESSMENT a. Assessment Technique
: Observations
b. Instrumen’s Shape
: Guidelines for Observation Spiritual Attitude
c. Instrument Grading Spiritual Attitude Observation Aspect
Item No
Pray before and after doing something.
1
Saying gratitude for God’s grace.
2
Greeting before and after deliver opinion/presentation.
3
Revealing admiration in a oral manner or writing agaist God when he saw greatness of God. Feel existence and greatness God when studying Science.
4
5
d. Attitude Asssessment Instruments and Rubrics in appendix 1 2. KNOWLEDGE ASSESSMENT a. Assessment Technique
: Written Test
b. Instrument’s Shape
: Description
c. Lattice of Knowledge Assessment Instrument No 1
Basic Competencies 3.6
Problem Indicator
Check the truth theorem Server Phytagoras Phythagoras triple.
Form Instrument
No. Item
picture
and triangle right angled, students
could
calculate side tilted with
theorem
Desciption
1
No
Basic Competencies
Problem Indicator
Form Instrument
No. Item
Phytagoras. 2
4.6
Complete problem that Student
can
count
related with theorem long side with sidePhytagoras
and to-side
Phytagoras triple.
comparisons
Description
2
triangle right angle.
d. Knowledge Assessment Instruments and Documents in Appendix 2
Knowing, English Mathematics Lecturer
Tanjungpinang, Desember 2018 Student
Puji Astuti
Ronny Harris Ramadhan
NIP:
NIM : 130384202017
Appendix 1
OBSERVATION SHEET ATTITUDE ASSESSMENT
Directions: This sheet is filled by the teacher to assess the check mark (√) in the score column according to the attitude of the student, with the following criteria: Student Name
:
Subject Matter
:
Class/Semester
:
Observation Date :
No OBSERVATION ASPECT 1
SCORE 1
Pray before and after doing something.
2
Saying gratitude for God’s grace.
3
Greeting before and after deliver opinion/presentation.
4
Revealing admiration in a oral
manner
or
writing
agaist God when he saw greatness of God. 5
Feel greatness
existence God
and when
studying Science.
Information : 4 = Always, 3 = Often, 2 = Sometimes, 1 = Never
2
3
4
Guidelines for Scoring: Final scores use a scale of 1 to 4 Final score calculation using the formula.
𝑉𝑎𝑙𝑢𝑒 𝐴𝑐𝑞𝑢𝑖𝑠𝑖𝑡𝑜𝑛 =
𝑆𝑐𝑜𝑟𝑒 𝑜𝑏𝑡𝑎𝑖𝑛𝑒𝑑 ×4 𝑀𝑎𝑥𝑖𝑚𝑢𝑚 𝑆𝑐𝑜𝑟𝑒
Appendix 2a 1. The length of BC in the ABC triangle below is… 𝐶
9 cm
𝐴
12 cm
𝐵
2. Pay attention to the ABCD rectangle image below. 𝐶
𝐷 20 cm 60° 𝐴
𝐵
Known diagonal length AC = 20 cm and ∠CAD = 60°. Determine : a) AD length b) AB length c) Area of ABCD d) Aroudn ABCD
Appendix 2b Answer Key and Assessment Rubric
Item No Answer Question 1 𝐵𝐶 2 = √𝐴𝐵 2 + 𝐴𝐶 2
2
Score
𝐵𝐶 2 = √122 + 92 𝐵𝐶 2 = √144 + 81 𝐵𝐶 2 = √225 𝐵𝐶 = 25 a. Long AD can be searched by comparison triangle special angles (30° and 60°), namely: Short side : long side = 1:2 𝐴𝐷 ∶ 𝐴𝐶 = 1: 2 𝐴𝐷: 20 cm = 1: 2 𝐴𝐷 =
1 × 20 cm 2
2
2
𝐴𝐷 = 10 cm b. Long AB to could searching for with comparison of special right angle triangles (30° and 60°, namenly: Middle side : Long side = 𝐴𝐵: 𝐴𝐶 =
√3 2
𝐴𝐵: 20 cm = 𝐴𝐵 = (
√3 2
2 √3 2
√3 ) × 20 cm 2
𝐴𝐵 = 10√3 cm c. The are of 𝐴𝐵𝐶𝐷 can be searched using the broad formula of a rectangle is : 𝐿 =𝑃×𝐿 𝐿 = 𝐴𝐷 × 𝐴𝐵 𝐿 = 10 cm × 10√3 𝐿 = 100√3 cm2
2
Item No Question
Answer
Score
d. Around 𝐴𝐵𝐶𝐷 could searching for with formula around rectangle, namely: 𝐾 = 2(𝑃 + 𝐿) 𝐾 = 2(𝐴𝐷 + 𝐴𝐵) 𝐾 = 2(10 cm + 10√3 cm 𝐾 = 20(1 + √3) cm
2
Total
Guidelines for Scoring: Final scores use a scale of 0 to 100 Final score calculation using the formula. 𝑉𝑎𝑙𝑢𝑒 𝐴𝑐𝑞𝑢𝑖𝑠𝑖𝑡𝑜𝑛 =
𝑆𝑐𝑜𝑟𝑒 𝑜𝑏𝑡𝑎𝑖𝑛𝑒𝑑 × 100% 𝑀𝑎𝑥𝑖𝑚𝑢𝑚 𝑆𝑐𝑜𝑟𝑒
10