SYLLABUS School : SMPN 1 Purwodadi Class : VIII Subject : Mathematics Semester : 2 Standard Competence : GEOMETRY AND MEASUREMENT 4. Determining the elements of circle, its parts and its size Basic Competence Topic Learning Activity Indicator Assessment Time Allocation Sources Technical Instrument Form Example 4. 1 Determining the elements and the parts of circle Circle Teacher brings a model of circle and guides students find the definition, its elements and its parts 1. Students understand the definition of a circle 2. Students know the elements of a circle 3. Students know the parts of a circle Activity Written Test Short questions Part of circle that’s bordered by a chord and an arc is..... 2 x 40 minutes Mathematics Book VIII published by The Government of Kudus Mathematics Book VIII published by Erlangga LKS Students do an experiment to find the value of π 4. Students able to find the value of π Activity Short questions The value of π is the comparison of ….. 1 x 40 minutes 4. 2 Calculating the circumference, and the area of circle Circle Students do an experiment to determine the circumference of a circle and the area of a circle 1. Students are able to determine the circumference of a circle 2. Students are able to determine the area of a circle Activity Product of experiment Short questions By our experiment, tell me the formula of the area of a circle! 2 x 40 minutes Students try to solve some questions by discussion with their friends. Teacher guides them to find the formal manner 3. Students are able to apply the circumference of circle in problem solving 4. Students are able to apply the area of circle in problem solving Written test Essay A wheel rotates 50 times and moves as long as 44 meters. Determine the radius of the wheel! 3 x 40 minutes 4. 3 Applying the relationship of center angle, the length of the arc and the area of sector Circle Teacher guides students finding the relation of center angle, the length of the arc and the area of sector by a picture 1. Students are able to know the relation of center angle, the length of the arc and the area of sector Written Test Short questions O is center angle of a circle. A, B, C and D are on the circle. If = 600 and = 300, determine the comparison of arc AB and arc CD! 2 x 40 minutes Students try to solve some questions by discussion with their friends. Teacher guides them to find the formal manner 2. Students are able to apply it on problem solving Written test Essay The radius of a circle is 20 cm and O is the center angle, = 720. Determine the area of sector AOB and the length of arc AB! 3 x 40 minutes Teacher guides students finding the relation of center angle and circular angle and its properties by a picture 3. Students are able to know the relation of center angle and circular angle and its properties Written test Short questions The size of circular angle that faces diameter is …. 2 x 40 minutes Students try to solve some questions by discussion with their friends. Teacher guides them to find the formal manner 4. Students are able to apply it on problem solving Written test Essay O is center angle of a circle. A, B and C are on the circle. If = 600 then determine the size of ! 2 x 40 minutes 4. 4 Calculating the length of common tangent line of two circles Tangent Line of Circle Teacher guides students draw tangent line and find its properties. Teacher guides students finding the length of tangent line passing through a point out the circle 1. Students are able to draw the tangent line and understand its properties 2. Students are able to calculate the length of tangent line passing through a point out the circle Activity Written test Essay P is a point out a circle and O is the center point. If the radius is 10 cm and OP = 26 cm, then the length of its tangent line is ….cm 3 x 40 minutes Teacher guides students draw inside common tangent line Teacher guides students finding the formula for the length of inside common tangent line 3. Students are able to draw inside common tangent lines 4. Students are able to calculate the length of inside common tangent lines Activity Written test Essay The length of ICTL is 15 cm. The radiuses of 2 circles are 6 cm and 2 cm. Determine the distance between 2 center points! 2 x 40 minutes Teacher guides students draw outside common tangent line Teacher guides students finding the formula for the length of outside common tangent line 5. Students are able to draw outside common tangent lines 6. Students are able to calculate the length of outside common tangent lines Activity Written test Essay The radiuses of 2 circles are 11 and 4 cm. The distance between their center points is 25 cm. Determine the length of OCTL! 3 x 40 minutes 4. 5 Draw a inscribed and circumscribed triangle Circle Teacher guides students draw inscribe triangle Teacher guides students finding the length of the radius of inscribed triangle and discuss the exercise 1. Students are able to understand the definition of inscribed triangle 2. Students are able to draw inscribed triangle 3. Students are able to find the length of the radius of inscribed triangle Written test Essay A triangle ABC, AB = 12 cm, BC = 20 cm and AC = 16 cm. Determine the length of the radius of its inscribed triangle! 4 x 40 minutes Teacher guides students draw circumscribed triangle Teacher guides students finding the length of the radius of circumscribed triangle and discuss the exercise 4. Students are able to understand the definition of circumscribed triangle 5. Students are able to draw circumscribed triangle 6. Students are able to find the length of the radius of circumscribed triangle Written test Essay A triangle PQR is equilateral triangle, PQ = 10 cm. Determine the radius of circumscribed triangle! 4 x 40 minutes Standard Competence : GEOMETRY AND MEASUREMENT 5. Understanding the Characteristic of cube, cuboids, prism, pyramid, its elements and its size Basic Competence Topic Learning Activity Indicator Assessment Time Allocation Sources Technical Instrument Form Example 5. 1 Identifying the characteristics of cube, cuboids, prism, pyramid, its elements and its size The Properties of Cube, Cuboids, Prism, Pyramid, Their Elements and Their Size Teacher guides students to know the definition of cube and cuboids, and then find their characteristics. Teacher uses the model of cube and cuboids to explain it 1. Students are able to understand the definition of cube 2. Students are able to identify the properties of cube and its elements 3. Students are able to understand the definition of cuboids 4. Students are able to identify the properties of cuboids and its elements Written test Essay The length of a Cuboid is 10 cm. The width and the height are respectively 4 cm and 3 cm. Find the length of space diagonal! 2 x 40 minutes Mathematics Book VIII published by The Government of Kudus Mathematics Book VIII published by Erlangga LKS Teacher guides students to know the definition of prism and pyramid, and then find their characteristics. Teacher uses the model of prism and pyramid to explain it 5. Students are able to understand the definition of prism 6. Students are able to identify the properties of prism and its elements 7. Students are able to understand the definition of pyramid 8. Students identify the properties of pyramid and its elements Written test Short questions Side-5 prism has ….sides. 3 x 40 minutes 5. 2 Making the net of cube, cuboids, prism, pyramid The Net of Cube, Cuboids, Prism and Pyramid Teacher uses the model of cube, cuboids, prism and pyramid and then open them to show their net 1. Students are able to make the net of cube 2. Students are able to make the net of cuboids 3. Students are able to make the net of prism 4. Students are able to make the net of pyramid Written test Drawing a. Draw the net of a cube that edge is 2 cm! b. Sketch the net of side-5 pyramid! 3 x 40 minutes 5. 3 Calculating surface area and volume of cube, cuboids, prism, pyramid Surface Area of Cube, Cuboids, Prism and Pyramid Volume of Cube, Cuboids, Prism and Pyramid Teacher uses the model of cube, cuboids, prism and pyramid to explain the surface area of them. Teacher and students discuss exercise. 1. Students are able to calculate surface area of cube 2. Students are able to calculate surface area of cuboids 3. Students are able to calculate surface area of prism 4. Students are able to calculate surface area of pyramid Written test Essay Mimi makes a pencil box whose shape is cuboid. The length, width and height respectively are 20 cm, 7 cm and 2 cm. The minimum area of carton that she needs is …cm2 12 x 40 minutes Teacher uses the model of cube, cuboids, prism and pyramid to explain the volume of them. Teacher and students discuss exercise. 5. Students are able to calculate volume of cube 6. Students are able to calculate volume of cuboids 7. Students are able to calculate volume of prism 8. Students are able to calculate volume of pyramid Written test Essay A worker makes a bath tub of form a cuboid. The areas of top side and front side respectively are 5 m2 and 3 m2. If the edge 13 x 40 minutes Purwodadi, January 2009 The Headmaster of SMPN 1 Purwodadi Mathematics Teacher Drs. Djauhari, MM Moertiningsih E.P.U, S.Pd NIP. 131 644 960 NIP. 500 107 284

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