SYLLABUS
School name : First Senior High School 1 Salatiga
Subject : Mathematics
Grade/ Semester : X/ 2
Standard Of Competence : Using the logic of mathematics in problem solving that related to the compound statements (proposition) and the quantifier statements.
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 4.1To determine the truth value of the compound statement and the quainter statement. | Þ To determine the truth value of the quainter statement. Þ To determine the negation of the quainter statement. Þ To determine the truth value of the compound statement. Þ To determine the negation of the compound statement.. | Þ Logic of mathematics. Þ The statement and its truth value. Þ The quainter statement Þ The negation of the statement Þ The com-pound statement (The truth value and its negation). | Þ Differentiating the statement and not the statement. Þ Determining the truth value of statement. Þ Determining the negation of statement. Þ Identifying the compound statement characteristic in form of conjunction, disjunction, implication and biimplication. Þ Formulating the truth value of the compound statement in the form of disjunction, implication and biimplication. Þ Determining the truth value of the compound statement in the form of disjunction, implication and biimplication. Þ Formulating the negation of the compound statement in the form of disjunction, implication and biimplication by using the truth value table. | · 2 x 45 minutes · 4 x 45 minutes | Ø Sources: · Text book (Math- Material Addition by Wahyu Tri Astuti. · Reference book *(Mathematics Revision Guide (Martin Law). * Additional Mathematics ( Ang Tok Woon). * Mathematics IGCSE (Ric Pimentel). Ø Teaching aids: · LCD · Note book | Ø Individual Task Ø Group Task Ø Examination | Ø Quiz Ø Multiple Choice test Ø Matching test Ø Essay test | |||||||
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· Conjunctions · Disjunctions. · Implications. · Biimplications. | Þ Determining the negation of the compound statement in the form of disjunction, implication and biimplication by using the truth table. Þ Identifying the daily statement in daily that has connection with the compound statement. Þ Identifying the connection between implication and converse, inverse and its contraposition. Þ Determining the converse, inverse and contraposition of the statement in the form of implication. | · 2 x 45 minutes · 4 x 45 minutes | Ø Sources: · Text book (Math- Material Addition by Wahyu Tri Astuti. · Reference book *(Mathematics Revision Guide (Martin Law). * Additional Mathematics ( Ang Tok Woon). * Mathematics IGCSE (Ric Pimentel). Ø Teaching aids: · LCD · Note book | Ø Individual Task Ø Group Task Ø Examination | Ø Quiz Ø Multiple Choice test Ø Matching test Ø Essay test | |||||||||
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| 4.2 To formulate the statement that equivalent with the compound statement or the quainter statement. | Þ To check the equivalent between two the compound statement or the quainter statement. Þ To prove the equivalent between two the compound statement or the quainter statement. Þ To make the statement that equivalent with the compound statement or the quainter statement. | Þ The equivalent of two compound statement. Þ The tautology and contradiction. | Þ Identifying the compound statement that equivalent. Þ Checking the equivalent between two the compound statement or the quainter statement. Þ Proofing the equivalent between two the compound statement or the quainter statement. Þ Identifying the characteristic of the tautology statement and the contradiction based on the truth value table. Þ Checking the compound statement whether it is the tautology or contradiction or neither. | · 4 x 45 minutes · | Ø Sources: · Text book (Math- Material Addition by Wahyu Tri Astuti. · Reference book *(Mathematics Revision Guide (Martin Law). * Additional Mathematics ( Ang Tok Woon). * Mathematics IGCSE (Ric Pimentel). Ø Teaching aids: · LCD · Note book | Ø Individual Task Ø Group Task Ø Examination | Ø Quiz Ø Multiple Choice test Ø Matching test Ø Essay test |
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| 4.3 Using the logical principle that connected to the compound statement and the quainter statement in conclusion making and problem solving. | Þ To check the validity of conclusion making by using logical principle. Þ To determine the conclusion from some available premise. | · Drawing · conclusion. · Modus Tolens. · Modus ponens · Syllogism. | Þ Identifying the way of drawing conclusion from some available example that is given. Þ Formulating the method of drawing conclusion based on implication. (modus ponens, modus tolens and syllogism). Þ Checking the validity of drawing conclusion. Þ Arranging the valid conclusion that is based on the available premise that is given. | · 2 x 45 minutes · 4 x 45 minutes | Ø Sources: · Text book (Math- Material Addition by Wahyu Tri Astuti. · Reference book *(Mathematics Revision Guide (Martin Law). * Additional Mathematics ( Ang Tok Woon). * Mathematics IGCSE (Ric Pimentel). Ø Teaching aids: · LCD · Note book | Ø Individual Task Ø Group Task Ø Examination | Ø Quiz Ø Multiple Choice test Ø Matching test Ø Essay test |
SYLLABUS
School name : First Senior High School 1 Salatiga
Subject : Mathematics
Grade/ Semester : X/ 2
Standard Of Competence : Using the ratios, functions, equations and trigonometric identities in problem solving.
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| 5.1 To manipulate e algebra in calculation technique that related to the trigonometric ratios, functions, equations, and identities. | Þ To find the trigonometric ratio values of right triangle. Þ To find the Trigonometric ratio values from special angles Þ To find the Trigonometric ratio values of angles in all quadrant | Trigonometric Þ The ratio of Trigonometric in right triangle. Þ The ratios of Trigonometric from special angle. Þ The ratios of Trigonometric from angles of all quadrants. | Þ Calculating the ratios of sides in a right triangle that its angle is constant but its length of side is different ratios values in special angles. Þ Identifying the meaning of trigonometric ratio at the right triangle. Þ Determining the value of trigonometric ratio of an angle to right triangle. Þ Searching the value of trigonometric ratios from special angle. Þ Using the trigonometric ratios value of special angle in problem solving. | · 10 x 45 minutes · | Ø Sources: · Text book (Math- Material Addition by Wahyu Tri Astuti. · Reference book *(Mathematics Revision Guide (Martin Law). * Additional Mathematics · ( Ang Tok Woon). * Mathematics IGCSE (Ric Pimentel). Ø Teaching aids: · LCD · Note book | Ø Individual Task Ø Group Task Ø Examination | Ø Quiz Ø Multiple Choice test Ø Matching test Ø Essay test | |||||||
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Þ Derivatifing the trigonometric ratios formula of an angle to cartesian plane. Þ Doing the calculation of trigonometric ratio at cartesian plane. Þ Searching the relation between trigonometric ratio of angles in all quadrants. Þ Determining the value of trigonometric ratio of angles in various quadrants. | · | Ø Sources: · Text book (Math- Material Addition by Wahyu Tri Astuti. · Reference book *(Mathematics Revision Guide (Martin Law). * Additional Mathematics ( Ang Tok Woon). * Mathematics IGCSE (Ric Pimentel). Ø Teaching aids: · LCD · Note book | Ø Individual Task Ø Group Task Ø Examination | Ø Quiz Ø Multiple Choice test Ø Matching test Ø Essay test | ||||||||||
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| 5.2 To design mathematics mode from problem that related to the functions ratios, equations and trigonometric identities. | Þ To plot the graph of the simple trigonometric functions in all quadrants. Þ To solve the simple trigonometric equations Þ To prove the simple trigonometric identities. Þ To solve the calculation problem of use sine and cosine formulas. Þ To determine the area of triangle that its component has been known. | Þ Trigonometric functions and its graphs. Þ Simple trigonometric equations. Þ Trigonometric identities. Þ Sine formula and cosine formula. Þ Area of triangle formula. | Þ Determining the value of trigonometric functions. Þ Plotting the simple trigonometric function graph. Þ Determining the solution of simple trigonometric equations. Þ Formulating the relation between trigonometric ratios of an angle. Þ Proofing the simple trigonometric identities by using formula and the relation between trigonometric ratios. Þ Identifying the problem of side calculation or angle calculation in triangle. Þ Formulating the sine formula and cosine formula. Þ Using the sine formula and cosine formula for problem solving in calculation of side and angle in triangle. Þ Identifying the problem in calculation of triangle area. Þ Finding the formula of triangle area. Þ Using the formula of triangle area for problem solving. | · 20 x 45 minutes · | Ø Sources: · Text book (Math- Material Addition by Wahyu Tri Astuti. · Reference book *(Mathematics Revision Guide (Martin Law). * Additional Mathematics ( Ang Tok Woon). * Mathematics IGCSE (Ric Pimentel). Ø Teaching aids: · LCD · Note book | Ø Individual Task Ø Group Task Ø Examination | Ø Quiz Ø Multiple Choice test Ø Matching test Ø Essay test | |
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| 5.3 To solve the mathematical model of problem that related to the functions ratios, equations, trigonometric identities and their interpretation. | Þ To identify the problem that related to the ratios, function, equations and trigonometric identities. Þ To make the mathematics model that related to the trigonometric ratios, function, equations and trigonometric identities. Þ To find the solve of mathematics model that related to the trigonometric ratios, function, equations and trigonometric identities. | Þ To use trigonometric ratios. | Þ Identifying the problem that related to the trigonometric ratios, functions, equations and trigonometric identities. Þ Making the mathematical model of problem that related to the trigonometric ratios, functions, equations and trigonometric identities. Þ Solving the mathematics model from problem that related to the trigonometric ratios, functions, equations and trigonometric identities. Þ Estimating/ interpreting the result problem solve that related to the trigonometric ratios, functions, equations and trigonometric identities. | · 4 x 45 minutes · | Ø Sources: · Text book (Math- Material Addition by Wahyu Tri Astuti. · Reference book *(Mathematics Revision Guide (Martin Law). * Additional Mathematics ( Ang Tok Woon). * Mathematics IGCSE (Ric Pimentel). Ø Teaching aids: · LCD · Note book | Ø Individual Task Ø Group Task Ø Examination | Ø Quiz Ø Multiple Choice test Ø Matching test Ø Essay test | |
SYLLABUS
School name : First Senior High School 1 Salatiga
Subject : Mathematics
Grade/ Semester : X/ 2
Standard Of Competence : Determining the positions, distance, and angle size that involve the point, line and plane in the three dimensional space.
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6.1 To find the point position, line and plane in the three dimensional space. | Þ To find the point position and line in three dimensional space. Þ To find the point position and plane in three dimensional space. Þ To find the position between two line in three dimensional space. Þ To find the line position an plane in three dimensional space. Þ To find the position between two planes in three dimensional space. | Three Dimensional Space. Þ Acquaintance three dimensional space. Þ Point position three dimensional space. Þ Point position, line, and plane three dimensional space. | Þ Identifying the objects of three dimensional space. Þ Identifying the elements of three dimensional space. Þ Searching the position between elements of three dimensional space. Þ Describing the position between elements of three dimensional space. | · 4 x 45 minutes · | Ø Sources: · Text book (Math- Material Addition by Wahyu Tri Astuti. · Reference book *(Mathematics Revision Guide (Martin Law). * Additional Mathematics ( Ang Tok Woon). * Mathematics IGCSE (Ric Pimentel). Ø Teaching aids: · LCD · Note book | Ø Individual Task Ø Group Task Ø Examination | Ø Quiz Ø Multiple Choice test Ø Matching test Ø Essay test | |||||||
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| 6.2 To find the distance from point to line and from point to plane in the three dimensional space. | Þ To find the distance between point and line in three dimensional space. Þ To find the distance between point and plane in three dimensional space. Þ To find the distance between two lines in three dimensional space. | Distance in three dimensional space. | Þ Identifying the mean of distance among point, line and plane in three dimensional space. Þ Calculating the distance between point and the line in three dimensional space. Þ Calculating the point distance and the plane in three dimensional space. Þ Calculating the distance between two lines in three dimensional space. | · 10 x 45 minutes · | Ø Sources: · Text book (Math- Material Addition by Wahyu Tri Astuti. · Reference book *(Mathematics Revision Guide (Martin Law). * Additional Mathematics ( Ang Tok Woon). * Mathematics IGCSE (Ric Pimentel). Ø Teaching aids: · LCD · Note book | Ø Individual Task Ø Group Task Ø Examination | Ø Quiz Ø Multiple Choice test Ø Matching test Ø Essay test | |||||||
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| 6.3 To find the size of angle between the line and plane and between two planes in the three dimensional space. | Þ To find the measure of angle between two lines in three dimensional space. Þ To find the angle size between the line and the plane in three dimensional space. Þ To find the angle size between two planes in three dimensional space. | Angle in three dimensional space. | Þ Identifying the meaning of angle between the point, line and plane in three dimensional space. Þ Drawing the angle between two lines in three dimensional space. Þ Calculating the measure of angle between two lines in the three dimensional space. Þ Drawing the angle between the line and the plane in three dimensional space. Þ Calculating the angle between the line and the plane in three dimensional space. Þ Drawing the angle between two planes the three dimensional space. Þ Calculating the angle size between two planes in three dimensional space | · 20 x 45 minutes · | Ø Sources: · Text book (Math- Material Addition by Wahyu Tri Astuti. · Reference book *(Mathematics Revision Guide (Martin Law). * Additional Mathematics ( Ang Tok Woon). * Mathematics IGCSE (Ric Pimentel). Ø Teaching aids: · LCD · Note book | Ø Individual Task Ø Group Task Ø Examination | Ø Quiz Ø Multiple Choice test Ø Matching test Ø Essay test |
Approved by The Principal of SMA N 1 Salatiga Drs. SAPTONO N, M.Si, M.PdNIP. 19680921 199003 1 006 | Salatiga, ……………., 2010 Math Teacher Dra. WAHYU TRI ASTUTI, M. PdNIP. 19670908 199802 2 004 |
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