Syllabus
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This document is a syllabus for a mathematics class at SMP Negeri 3 Surabaya for the first semester. It outlines 3 main standards of competency: geometry and measurement, statistics, and probability. For each standard, it lists the basic competencies, main materials to be covered, learning activities, assessment methods, allocation of time, and learning techniques and resources. The assessments include written tests, oral tests, and essay questions. The materials will be taught using textbooks, models, and real-world examples over periods of 40 minutes across multiple meetings.
Syllabus
- 1. SYLLABUS School : SMP Negeri 3 Surabaya Class : IX Subject : Mathematics Semester : I Standard Competency: GEOMETRY AND MEASUREMENT 1. Understanding the similarity of figures and the use of it in problem solving Basic Competency Main Material / Learning Learning Activity Indicator Assessment Time Allocation Learning Technique Instrument Form Instrument 1.1 Identifying similar and congruent figures Similarity and Congruency Discuss two congruent or similar by figure model Discuss two congruent or similar by figure model Written Test Essay Test Which figures below are similar?Why? 2x40 minutes Text Book, environment, figures model from wire or carton.
- 2. Basic Competency Main Material / Learning Learning Activity Indicator Assessment Time Allocation Learning Technique Instrument Form Instrument Identifying two figures are similar or congruent Identifying two figures are similar or congruent Oral Test List of questions Doesthefoguresbelowiscongruent? Why? 2x40 minutes 1.2 Identifying the properties of two similar and congruent triangles Similarity and Congruency Identify the difference of two triangle that are similar or congruent Differ the definition of similar and congruent triangles Oral Test List of questions If ABC congruentwith PQR, does a. correspondingsides are equal in length? b. correspondingangles are equal? Iftwotriangles are congruent,doesitalways similar? 2x40 minutes Text Book, environment, figures model from wire or carton. Mengidentifikasi sifat-sifat dua segitiga sebangun dan kongruen. Menyebutkansifat- sifatduasegitigasebangundankongr uen. . Testulis Tesisian Diketahui ABC dan PQR, sebangun 2x40 menit Q R C B A P
- 3. Basic Competency Main Material / Learning Learning Activity Indicator Assessment Time Allocation Learning Technique Instrument Form Instrument panjang panjang panjang panjang PQpanjang ABpanjang Sudut A = sudut . 1.3 Using the concept of similarity of triangle in problem solving Similarity and Congruency Observe the ratio of the side of triangle that are similar and determine its length Determine the ratio of the sides of two triangles that are similar and calculate the length Written Test Essay Test ABC congruentwith PQR. AB = 4 cm. Correspondingsideto AB is PQ, and PQ = 6 cm. Ifthelength of BC = 5 cm, thenthelength of QR is .... . 4x40 minutes Text Book, environment, figures model from wire or carton. Use similarity to solve problems Solve problem related with probability Written Test Essay Test A photograph of size 3 X 4 will be enlarged so thatthewidthbecome 60 cm. Photopaperneededtomaketheenlarged photois ..... cm2. 4x40 minutes
- 4. Standard Competency :GEOMETRY AND MEASUREMENT 2. Understanding the properties of cylinder, cone and sphere and determine its size Basic Competency Main Material / Learning Learning Activity Indicator Assessment Time Allocation Learning SourceTechnique Instrument form Instrument example 2.1 Identify the elements of cylinder, cone and sphere cylinder, cone and sphere Discuss the elements of cylinder, cone and sphere using non polyhedron model. Mention the elements : radius, diameter, height, side, base of cylinder, cone and sphere Written test Essay tset a. Give shaded in cone base b.Draw the height of cone 2x40 menit Textbook, non polyhedron model 2.2 Calculating the surface area and volume of cylinder, cone and sphere cylinder, cone and sphere Determine the surface area of cylinder, cone and sphere Determine the surface area of cylinder, cone and sphere Written test Written test A sphere has radius 10 cm. Calculate the surface area of that sphere! 4x40 minutes Textbook, non polyhedron model Determine the volume of cylinder, cone and sphere Calculate the volume of cylinder, cone and sphere Written test Essay test A cylinder has 10 cm in radius and 30 cm in height. Find the volume! 4x40 minutes
- 5. Basic Competency Main Material / Learning Learning Activity Indicator Assessment Time Allocation Learning SourceTechnique Instrument form Instrument example Using the formula of volume of cylinder, cone and sphere to calculate the elements of them if the volume is known Calvulate the elements of cylinder, cone and sphere if the volume is known Written test Essay test The volume of a cylinder is 1540 cm3 . find the radius! 4x40 minutes 2.3 Solving problems related cylinder, cone and sphere cylinder, cone and sphere Solving problems related cylinder, cone and sphere using the formula of the surface area and the volume Using the formula of the surface area and the volume for solving problems related cylinder, cone and sphere Written test Essay test Mr.Candra want to make a cylinder from zinc which has 30 cm in radius and 1 m in height. The area of zinc that is needed for making the cylinder is ..... cm2 . 4x40 minutes Textbook, non polyhedron model Standard Competence Materials Learning Activities Indicator Scoring Time Allotment Learning Source Technique Instrument Example of Instrument 3.1 Determine mean, median, and mode of single data and its representation. Statistics Collecting data by measuring and typing data by using tally. Collecting data by measuring and typing by using tally Written test Explanation Test The score of 12 students is as follow: 54, 66, 72, 80, 72, 76, 72, 76, 72, 76, 64, 76 Make the score table by using tally. How many students who have score 72? 2x40 minutes Text book, environment. Identifying data by ordering Ordering single data, knowing the smallest data, the biggest data, and the range of data. Written test Explanation Test The age of 10 students are: 6, 6, 10, 9, 7, 8, 10, 6, 8, 9. a. order the age from the smallest to the biggest b. how is the range of the youngest student and the oldest student? 1x40 minutes
- 6. Standard Competence Materials Learning Activities Indicator Scoring Time Allotment Learning Source Technique Instrument Example of Instrument Calculating the mean, median, and mode of single data and representating the meaning. Determine the mean, median, and mode of single data and its representation. Written test Explanation Test The mark of 8 students are as follow: 7, 6, 6, 5, 7, 8, 8, 7. a. calculate the mean, median, and mode. b. what is the meaning of the mean, median, and mode of that data? 5x40 minutes 3.2.presenting data in table, bar chart, line chart, and pie chart. Statistics Making table, bar chart, line chart, and pie chart of single data. Presenting single data in table, bar chart, line chart, and pie chart. Written test Explanation Test Below are the age of 20 students in a Junior High School (in years) 13, 14, 13, 16, 13, 14, 15, 16, 14, 13, 13. 16, 15, 13, 14, 15, 13, 15, 13, 14. Draw bar chart of the data. 4x40 minutes Text book, environment Representating diagram of the data Reading the diagram of a data. Written test Explanation Test 1. Football 2. Swimming 3. Aerobic 4. Volly 5. Basket ball How many percent of student who like football? 2x40 minutes Basic Competence Material Learning Activity Indicator Assesment Time Allocation Learning Resource Technique Instrument The example of instrument H O B I 1 0 0 S I S W A S M P 1 2 3 4 5
- 7. Basic Competence Material Learning Activity Indicator Assesment Time Allocation Learning Resource Technique Instrument The example of instrument 4.1 Determine thesample spaceof aexperiment Probability Discuss thedefinition of sample space, andsample point of an experiment Explainthe sample space, points of anexperimentsample Oral test questionnair e If a coin is tossed once, then: a. What is the sample point? b.What is the sample space? 1x40 minutes Textbook, environment, die, coin, bridge card, numbered card To determinethe samplespaceof aexperimentby listing the sample point determinethe samplespaceof aexperimentby listing the sample point . Writing test Essay test Two dice are tossedonce. a. What is the sample point? b.What is the sample space? 1x40 minutes 4.2 Determine the probability of simple Probability Determine theprobability eachsample pointinthe samplespace of an experiment such ascoins, dice Determine theprobability eachsample pointinthe samplespace of an experiment Writing test Essay test A die is tossed once. The probability that 4 is appear is... 2x40 minutes Textbook, die, coin, bridge card, numbered card Looking forthe probabilityof an event Looking forthe probabilityof an event Writing test Essay test Two dice are tossed once. A is even that the sum of dice appear is 9. What is the probability of event A? 4x40 minutes Known, Jakarta, 18 Juni2013 Headmaster of SMP Negeri 3 SurabayaTeacher Dra.Hj. RETNO INDAH S,M.Pd. NYOMAN SRI WARDHANI NIP : 196301131984122001 NIP : 19550921 198603 2 003