Appendix 1 LESSON PLAN I (CYCLE 1) School : SMAN 1 Tebing Tinggi Subject : Mathematics Class/Semester : XII MIA 2/Odd Subject Matter : Statistic Time Allocation : 2 x 45 minutes A. CORE COMPETENCE CC1 and CC 2 : Appreciate and practice the teachings of religion. Appreciate and practice the honest behavior, discipline, manners, caring (teamwork, cooperation, tolerant, and peace), responsible, responsive and accordance with pro-active the in interacting development of effectively in children in the neighborhood, family, school, community and the environment natural surroundings, nation, state, regional, and international areas. CC 3 : Understand, implement, and analyze the knowledge of factual, conceptual, procedural, and metacognitive by curiosity about science, technology, art, culture, and humanities with insights into humanity, nation, state, and civilization-related causes of phenomena and events and applying procedural knowledge in a specific field of study according to their talents and interests to solve the problem CC 4 : Processing, reasoning, and presenting in the concrete and abstract realms related to the development of what he has learned in school independently, acting effectively and creatively, and being able to use methods according to scientific principles 81 B. BASIC COMPETENCE 1. Basic Knowledge Competencies Determine and analyze the size of 1. concentration and dissemination of data presented in the form of frequency distribution tables Basic Skills Competencies Resolve problems related to presenting measurement and enumeration data in the frequency distribution table Indicators of competence achievement Indicators of competence of knowledge achievement of skill 1. Identify the size of the 1. Resolving problems related to the presentation of concentration of data presented in measurement and the form of a frequency enumeration data in the distribution table frequency distribution table C. LEARNING OBJECTIVE Through presentation method, discussion, ask-solve, and RME approach students can : 1. Show the curious attitute during learning process 2. Show a critical thinking ability when solving problem mathematics 3. Student must be able to understand about statistic 4. Give the various solution of the problem related to statistic 5. Student able to conclude the information given from question and answer D. LEARNING MATERIAL Size of Centered data frequency distribution a. Mean The mean is the average value of several pieces of data. The formula of mean: XX xxi .i .ffi i ffi i 82 Note : X : Mean xi f i :Corresponding sum of the value f i : The sum of frequency a. Median The Median determines the location of the data center after the data is arranged in the order of its value. The formula of Median : 1 n Fi Me Li p 2 fi Note : Me: Median Li : Lower limit p : Class length n : The sum of data Fi : Cumulative frequency before the median class mark fi : Median class frequen lower limit mode classcy E. METHOD OF LEARNING a. Approaches : Realistic Mathematics Education (RME) Learning Approach b. Method : Discussion, question and answer, group and presentation F. LEARNING INSTRUMENT AND SOURCE a. Instrument : Student activity sheet, whiteboard b. Source : Rahman, Abdur (2018). Buku siswa matematika untuk SMA/SMK/MA kelas XII. Jakarta: Kemendikbud 83 G. LEARNING ACTIVITY Teacher Activities Student Activities Time Method INITIAL ACTIVITY Orientation 1. Giving greeting 2. The teacher choose one of the students to lead pray before 1. Answering teacher’s greeting 2. One of the student that beginning the lesson choose to lead the pray 3. Teacher checks students 3. Students give information attendance about them friend if they not present and the reason why they not present. Apperception 4. Give Apperception to students by asking questions. 5. Connecting the material of 4. Answering questions from the teacher 5. Propose the initial statistic in real life and knowledge about the encounrage the students to concept propose their initial knowledge about the concept going to be learn. Motivation 6. Giving students' motivation. 7. Explaining the purpose of learning or basic competencies to be achieved 6. All of students give them attention and hear the motivation from teacher. 7. Students hear the purpose of learning 84 Lecture 10 Minute and Discussion CORE ACTIVITIES Step 1: Understand Contextual Problems 1. Presenting contextual 1. Pay attention to the problems related to statistic in problem presented and try SAS to understand the problem. 2. Asking one student to explain 2. A student explains the the purpose of the problem purpose of the problem presented in the SAS presented in the SAS. 3. Give assistance to students to 3. Students understand contextual 15 minute Lecture understand contextual problems problems Step 2: Resolve Contextual Problems 1. The teacher helps and directs students to 1. Linking between topics or construct their material with problems if knowledge about the possible problems relate to other model of or the appropriate material or with everyday way. life. 2. The teacher interacts with students by going around while observing the problem 2. Students solving 30 Minute seek and Discussion and Q&A problem negotiate their answers. solving process. Step 3: Compare and Discuss Answers 1. Divide students into heterogeneous groups. 1. Listen to the direction of the teacher and carry out his direction. Students sit in groups forming study groups. 2. Directing students to work 2. Discuss in groups to together to discuss solving determine one solution problems that they think is the most that have been 85 20 minute Discussion and Q&A solved individually to take one correct among problem solving which they answers they think is the most correct. answered. 3. Asking one group to present a the have 3. Presenting the model of model of and how to solve and how to solve problems in front of the class. problems in front of the class. . 4. Negotiating, explaining, reflecting and evaluating in 4. Discuss the results of the settlement. guiding students to understand mathematical concepts. Step 4: Summarize 1. The teacher and students 1. Write conclusions about conclude the model of and the model of and model model for statistic material for statistic material 2. Give training as a homework assignment 2. Record the 5 minute Discussion and Q&A exercises given by the teacher END ACTIVITIES 1. Teacher give the response about every activity 2. Teacher covey the next material for the next meeting. 3. Teacher appoint chairman to lead pray and warn every student and say closing meeting 1. Students hear the respond from teacher. 2. Student hear what teacher said 3. Chairman lead the pray and warn every students and say clossing meeting 86 5 minute Lecture H. ASSESSMENT 1. Technique : Written test 2. Instrument form : Essay 3. Instrument : Student Activity Sheet (SAS) Tebing Tinggi, September 2019 Mengetahui Teacher Mathematics Researcher Dra. Tiurma Aritonang Stefanus Purba NIP. 196105071986032003 ID. 4153312016 87 Appendix 2 LESSON PLAN II (CYCLE 1) School : SMAN 1 Tebing Tinggi Subject : Mathematics Class/Semester : XII MIA 2/Odd Subject Matter : Statistic Time Allocation : 2 x 45 minutes A. CORE COMPETENCE CC1 and CC 2 : Appreciate and practice the teachings of religion. Appreciate and practice the honest behavior, discipline, manners, caring (teamwork, cooperation, tolerant, and peace), responsible, responsive and accordance with pro-active the in interacting development of effectively in children in the neighborhood, family, school, community and the environment natural surroundings, nation, state, regional, and international areas. CC 3 : Understand, implement, and analyze the knowledge of factual, conceptual, procedural, and metacognitive by curiosity about science, technology, art, culture, and humanities with insights into humanity, nation, state, and civilization-related causes of phenomena and events and applying procedural knowledge in a specific field of study according to their talents and interests to solve the problem CC 4 : Processing, reasoning, and presenting in the concrete and abstract realms related to the development of what he has learned in school independently, acting effectively and creatively, and being able to use methods according to scientific principles 88 B. BASIC COMPETENCE Basic Knowledge Competencies 1. Determine and analyze the size of 2. concentration and dissemination of data presented in the form of frequency distribution tables Basic Skills Competencies Resolve problems related to presenting measurement and enumeration data in the frequency distribution table Indicators of competence achievement Indicators of competence of knowledge achievement of skill 1. Identify the size of the 1. Resolving problems related to the presentation of concentration of data presented in measurement and the form of a frequency enumeration data in the distribution table frequency distribution table C. LEARNING OBJECTIVE Through presentation method, discussion, ask-solve, and RME approach students can : 1. Show the curious attitute during learning process 2. Show a critical thinking ability when solving problem mathematics in completing the task 3. Student must be able to understand about trigonometry (elevation and depression) 4. Give the various solution or of the problem related to trigonometry 5. Student able to conclude the information given from question and answer 89 D. LEARNING MATERIAL Mode Mode is data with a size that has the highest frequency The formula of mode: Note : Mo : Mode d1 Mo Li p d d 2 1 Li : Lower limit mode class p : Class length d1 : Difference of frequency in class- i with the previous class d 2 : Difference of frequency in class- i with the nextclass E. METHOD OF LEARNING a. Approaches : Realistic Mathematics Education (RME) Learning Approach b. Method : Discussion, question and answer, group and presentation F. LEARNING INSTRUMENT AND SOURCE a. Instrument : Student activity sheet, whiteboard b. Source : Rahman, Abdur (2018). Buku siswa matematika untuk SMA/SMK/MA kelas XII. Jakarta: Kemendikbud 90 G. LEARNING ACTIVITY Teacher Activities Student Activities Time Method INITIAL ACTIVITY Orientation 1. Giving greeting 1. Answering teacher’s greeting 2. The teacher choose one of the students to lead pray before 2. One of the student that choose to lead the pray beginning the lesson 3. Teacher checks students attendance 3. Students give information about them friend if they not present and the reason why they not present. Apperception 4. Give Apperception to students by asking questions. 5. Connecting the material of 4. Answering questions from the teacher 5. Propose the initial statistic in real life and knowledge about the encounrage the students to concept propose their initial knowledge about the concept going to be learn. Motivation 6. Giving students' motivation. 7. Explaining the purpose of 6. All of students give them learning or basic competencies attention and hear the to be achieved motivation from teacher. 7. Students hear the purpose of learning 91 Lecture 10 Minute and Discussion CORE ACTIVITIES Step 1: Understand Contextual Problems 1. Presenting contextual problems related to statistic in SAS 1. Pay attention to the problem presented and try to 2. Asking one student to explain understand the problem. the purpose of the problem presented in the SAS 2. A student explains the 3. Give assistance to students to understand contextual problems 15 minute Lecture purpose of the problem presented in the SAS. 3. Students understand contextual problems Step 2: Resolve Contextual Problems 1. The teacher helps and directs students their material with problems if knowledge about the possible problems relate to other model of or the appropriate material or with everyday way. life. 2. The to construct 1. Linking between topics or teacher interacts with 2. Students 30 Minute seek students by going around while solving and observing the problem solving their answers. Discussion and Q&A problem negotiate process. Step 3: Compare and Discuss Answers 1. Divide students into heterogeneous groups. 1. Listen to the direction of the teacher and carry out his direction. Students sit in groups forming study groups. 2. Directing students to work 2. Discuss in groups to together to discuss solving determine one solution problems that have been solved that they think is the most 92 20 minute Discussion and Q&A individually to take one correct among problem solving which they answers they think is the most correct. answered. 3. Asking one group to present a the have 3. Presenting the model of model of and how to solve and problems in front of the class. problems in front of the 4. Negotiating, explaining, reflecting and evaluating in guiding students to understand how to solve class. 4. Discuss the results of the settlement. mathematical concepts. Step 4: Summarize 1. The teacher and students 1. Write conclusions about conclude the model of and the model of and model model for statistic material for statistic material 2. Give training as a homework assignment 2. Record the 5 minute Discussion and Q&A exercises given by the teacher END ACTIVITIES 1. Teacher give the response about every activity 2. Teacher covey the next material for the next meeting. 3. Teacher appoint chairman to lead pray and warn every student and say closing meeting 1. Students hear the respond from teacher. 2. Student hear what teacher said 3. Chairman lead the pray and warn every students and say clossing meeting 93 5 minute Lecture H. ASSESSMENT 1. Technique : Written test 2. Instrument form : Essay 3. Instrument : Student Activity Sheet (SAS ) Tebing Tinggi, September 2019 Mengetahui Teacher Mathematics Researcher Dra. Tiurma Aritonang Stefanus Purba NIP. 196105071986032003 ID. 4153312016 94 LESSON PLAN I (CYCLE 2) School : SMAN 1 Tebing Tinggi Subject : Mathematics Class/Semester : XII MIA 2/Odd Subject Matter : Statistic Time Allocation : 2 x 45 minutes A. CORE COMPETENCE CC1 and CC 2 : Appreciate and practice the teachings of religion. Appreciate and practice the honest behavior, discipline, manners, caring (teamwork, cooperation, tolerant, and peace), responsible, responsive and accordance with pro-active the in interacting development of effectively in children in the neighborhood, family, school, community and the environment natural surroundings, nation, state, regional, and international areas. CC 3 : Understand, implement, and analyze the knowledge of factual, conceptual, procedural, and metacognitive by curiosity about science, technology, art, culture, and humanities with insights into humanity, nation, state, and civilization-related causes of phenomena and events and applying procedural knowledge in a specific field of study according to their talents and interests to solve the problem CC 4 : Processing, reasoning, and presenting in the concrete and abstract realms related to the development of what he has learned in school independently, acting effectively and creatively, and being able to use methods according to scientific principles 95 B. BASIC COMPETENCE 1. Basic Knowledge Competencies Determine and analyze the size of concentration and dissemination of data presented in the form of frequency distribution tables 1. Basic Skills Competencies Resolve problems related to presenting measurement and enumeration data in the frequency distribution table Indicators of competence achievement Indicators of competence of knowledge achievement of skill 1. Identify the size of the 1. Resolving problems related to the presentation of concentration of data presented in measurement and the form of a frequency enumeration data in the distribution table frequency distribution table C. LEARNING OBJECTIVE Through presentation method, discussion, ask-solve, and RME approach students can : 1. Show the curious attitute during learning process 2. Show a critical thinking ability when solving problem mathematics 3. Student must be able to understand about statistic 4. Give the various solution of the problem related to statistic 5. Student able to conclude the information given from question and answer D. LEARNING MATERIAL Size of Centered data frequency distribution a. Average Deviation The mean deviation is the average distance between data values toward the average or the average absolute deviation of the data from the average. 96 n SR f i 1 Xi X i n f i 1 i Note : SR Simpangan rata rata Xi Nilai Tengah X Rataan Hitung fi Frekuensi data ke i E. METHOD OF LEARNING a. Approaches : Realistic Mathematics Education (RME) Learning Approach b. Method : Discussion, question and answer, group and presentation F. LEARNING INSTRUMENT AND SOURCE a. Instrument : Student activity sheet, whiteboard b. Source : Rahman, Abdur (2018). Buku siswa matematika untuk SMA/SMK/MA kelas XII. Jakarta: Kemendikbud G. LEARNING ACTIVITY Teacher Activities Student Activities Time Method INITIAL ACTIVITY Orientation 1. Giving greeting 2. The teacher choose one of the students to lead pray before 1. Answering teacher’s greeting 2. One of the student that beginning the lesson choose to lead the pray 3. Teacher checks students 3. Students give information attendance about them friend if they 97 Lecture 10 Minute and Discussion not present and the reason why they not present. Apperception 1. Give Apperception to students by asking questions. 1. Answering questions from the teacher 2. Connecting the material of 2. Propose the initial statistic in real life and knowledge about the encounrage the students to concept propose their initial knowledge about the concept going to be learn. Motivation 1. Giving students' motivation. 2. Explaining the purpose of learning or basic competencies to be achieved 1. All of students give them attention and hear the motivation from teacher. 2. Students hear the purpose of learning CORE ACTIVITIES Step 1: Understand Contextual Problems 1. Presenting contextual problems 1. Pay related to statistic in SAS attention to the problem presented and try to understand the problem. 2. Asking one student to explain the purpose of the problem 2. A student explains the presented in the SAS 3. Give assistance to students to understand problems purpose of the problem presented in the SAS. contextual 3. Students understand contextual problems 98 15 minute Lecture Step 2: Resolve Contextual Problems 1. The teacher helps and directs students to construct 1. Linking between topics or their material with problems if knowledge about the possible problems relate to other model of or the appropriate material or with everyday way. life. 2. The teacher interacts with students by going around while observing the problem 30 Minute 2. Students solving seek and Discussion and Q&A problem negotiate their answers. solving process. Step 3: Compare and Discuss Answers 1. Divide students into heterogeneous groups. 1. Listen to the direction of the teacher and carry out his direction. Students sit in groups forming study groups. 2. Directing students to work 2. Discuss in groups to together to discuss solving determine one solution problems that they think is the most that have been solved individually to take one correct among problem solving which they answers they think is the most correct. answered. 3. Asking one group to present a the have 3. Presenting the model of model of and how to solve and problems in front of the class. problems in front of the . class. 4. Negotiating, explaining, reflecting and evaluating in how to solve 4. Discuss the results of the settlement. guiding students to understand mathematical concepts. 99 20 minute Discussion and Q&A Step 4: Summarize 1. The teacher and students 1. Write conclusions about conclude the model of and the model of and model model for statistic material for statistic material 2. Give training as a homework 2. Record assignment the 5 minute Discussion and Q&A exercises given by the teacher END ACTIVITIES 1. Teacher give the response about every activity 2. Teacher covey the next material for the next meeting. 3. Teacher appoint chairman to lead pray and warn every student and say closing meeting 1. Students hear the respond from teacher. 2. Student hear what teacher said 3. Chairman lead the pray and warn every students and say clossing meeting 5 minute H. ASSESSMENT 1. Technique : Written test 2. Instrument form : Essay 3. Instrument : Student Activity Sheet (SAS) Tebing Tinggi, September 2019 Mengetahui Teacher Mathematics Researcher Dra. Tiurma Aritonang Stefanus Purba NIP. 196105071986032003 ID. 4153312016 100 Lecture LESSON PLAN II (CYCLE 2) School : SMAN 1 Tebing Tinggi Subject : Mathematics Class/Semester : XII MIA 2/Odd Subject Matter : Statistic Time Allocation : 2 x 45 minutes A. CORE COMPETENCE CC1 and CC 2 : Appreciate and practice the teachings of religion. Appreciate and practice the honest behavior, discipline, manners, caring (teamwork, cooperation, tolerant, and peace), responsible, responsive and accordance with pro-active the in interacting development of effectively in children in the neighborhood, family, school, community and the environment natural surroundings, nation, state, regional, and international areas. CC 3 : Understand, implement, and analyze the knowledge of factual, conceptual, procedural, and metacognitive by curiosity about science, technology, art, culture, and humanities with insights into humanity, nation, state, and civilization-related causes of phenomena and events and applying procedural knowledge in a specific field of study according to their talents and interests to solve the problem CC 4 : Processing, reasoning, and presenting in the concrete and abstract realms related to the development of what he has learned in school independently, acting effectively and creatively, and being able to use methods according to scientific principles 101 B. BASIC COMPETENCE Basic Knowledge Competencies Determine and analyze the size of 1. concentration and dissemination of data presented in the form of frequency distribution tables Basic Skills Competencies Resolve problems related to presenting measurement and enumeration data in the frequency distribution table Indicators of competence achievement of knowledge 1. Identify the size of the 1. Indicators of competence achievement of skill Resolving problems related to the presentation of measurement and enumeration data in the frequency distribution table 1. concentration of data presented in the form of a frequency distribution table C. LEARNING OBJECTIVE Through presentation method, discussion, ask-solve, and RME approach students can : 1. Show the curious attitute during learning process 2. Show a critical thinking ability when solving problem mathematics in completing the task. 3. Student must be able to understand about statistic 4. Give the various solution or of the problem related to statistic 5. Student able to conclude the information given from question and answer 102 D. LEARNING MATERIAL Variety or variation is a value that indicates the amount of data spread across data groups. f X n S2 i 1 i i X 2 n f i 1 i Note : S2 Variasi / Varians / Ragam Xi Nilai Tengah (data ke i ) X Rataan Hitung fi Frekuensi data ke i Standard deviation or also called standard deviation is the root of the sum of the squares of diviations divided by the amount of data f X n S i 1 i i X 2 n f i 1 i E. METHOD OF LEARNING c. Approaches : Realistic Mathematics Education (RME) Learning Approach d. Method : Discussion, question and answer, group and presentation F. LEARNING INSTRUMENT AND SOURCE c. Instrument : Student activity sheet, whiteboard d. Source : Rahman, Abdur (2018). Buku siswa matematika untuk SMA/SMK/MA kelas XII. Jakarta: Kemendikbud 103 G. LEARNING ACTIVITY Teacher Activities Student Activities Time Method INITIAL ACTIVITY Orientation 1. Giving greeting 1. Answering teacher’s greeting 2. The teacher choose one of the students to lead pray before 2. One of the student that choose to lead the pray beginning the lesson 3. Teacher checks students attendance 3. Students give information about them friend if they not present and the reason why they not present. Apperception 1. Give Apperception to students by asking questions. 2. Connecting the material of 1. Answering questions from the teacher 2. Propose the initial statistic in real life and knowledge about the encounrage the students to concept propose their initial knowledge about the concept going to be learn. Motivation 1. Giving students' motivation. 2. Explaining the purpose of 1. All of students give them learning or basic competencies attention and hear the to be achieved motivation from teacher. 2. Students hear the purpose of learning 104 Lecture 10 Minute and Discussion CORE ACTIVITIES Step 1: Understand Contextual Problems 1. Presenting contextual problems 1. Pay related to statistic in SAS attention to the problem presented and try to understand the problem. 2. Asking one student to explain 2. A student explains the the purpose of the problem purpose of the problem presented in the SAS presented in the SAS. 3. Give assistance to students to understand contextual 3. Students 15 minute Lecture understand contextual problems problems Step 2: Resolve Contextual Problems 1. The teacher helps and directs students their material with problems if knowledge about the possible problems relate to other model of or the appropriate material or with everyday way. life. 2. The to construct 1. Linking between topics or teacher interacts with 2. Students 30 Minute seek students by going around while solving and observing the problem solving their answers. Discussion and Q&A problem negotiate process. Step 3: Compare and Discuss Answers 1. Divide students into heterogeneous groups. 1. Listen to the direction of the teacher and carry out his direction. Students sit in groups forming study groups. 2. Directing students to work 2. Discuss 20 minute in groups to together to discuss solving determine one solution problems that have been solved that they think is the most individually correct to take one 105 among the Discussion and Q&A problem solving which they answers think is the most correct. answered. 3. Asking one group to present a they have 3. Presenting the model of model of and how to solve and problems in front of the class. problems in front of the 4. Negotiating, explaining, reflecting and evaluating in guiding students to understand how to solve class. 4. Discuss the results of the settlement. mathematical concepts. Step 4: Summarize 1. The teacher and students 1. Write conclusions about conclude the model of and the model of and model model for statistic material for statistic material 2. Give training as a homework assignment 2. Record the 5 minute Discussion and Q&A exercises given by the teacher END ACTIVITIES 1. Teacher give the response about every activity 2. Teacher covey the next material for the next meeting. 3. Teacher appoint chairman to lead pray and warn every student and say closing meeting 1. Students hear the respond from teacher. 2. Student hear what teacher said 3. Chairman lead the pray and warn every students and say clossing meeting 106 5 minute Lecture H. ASSESSMENT 4. Technique : Written test 5. Instrument form : Essay 6. Instrument : Student Activity Sheet (SAS ) Tebing Tinggi, September 2019 Mengetahui Teacher Mathematics Researcher Dra. Tiurma Aritonang Stefanus Purba NIP. 196105071986032003 ID. 4153312016 107