SALATIGA MUNICIPALITYEDUCATION, YOUTH AND SPORT DEPARTMENT
STATE SENIOR HIGH SCHOOL 1 SALATIGA
(SMA N 1 SALATIGA)
(SMA N 1 SALATIGA)
Kemiri Street No. 1 Phone.+62298326867 Fax. +62298326867 SALATIGA
Website : www.sman1salatiga.sch.id E-mail : sma_1_sltg@yahoo.com
50711
|
School name : Senior High School 1 Salatiga
Subject : Mathematics
Grade/ Semester : X/ 1
Standard of Competency: To solve the problem related to the exponents, roots (surds) and logarithms.
| Skills/ Basic Competency | Indicator | Materials | Learning activities | Time Allotment/ Allocation | Sources | Assessment | |||||||
Methods | Instrument | ||||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | ||||||
 1.1To use the rules of exponents, roots and logarithms. | Þ To change the negative exponent into positive exponent and vise versa. Þ To change the form of root into the form of exponent and vise versa. Þ To do the algebra operation of exponent form, and the root. Þ To simplify the form of algebra that contains of the rational exponent. Þ To rationalize the form of root. | Exponents, roots and logarithm. Þ The form of exponent ab. Þ The form of root (a  ) =  .Þ The form of logarithm log ax = b. | Þ Understanding about the form of exponent, root and logarithm to its relation. Þ Defining the form of exponent, root and logarithm. Þ Describing the form of exponent, root and logarithm, and the relation one of others. Þ Applying the formulas of the exponent form. Þ Applying the formulas of the root forms. Þ Applying the formulas of the logarithm form. | · 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 | ||||||
| Basic Competency | Indicator | Materials | Learning activities | Time Allotment | Sources | Assessment | |||||||
Methods | Instrument | ||||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | ||||||
| 1.2 To manipulate the algebra in calculating that related to the exponents, roots and logarithms. | Þ To change the form of exponent to the form of logarithm and vise versa. Þ To do the algebraic operation in logarithmic form. Þ To determine the term of the exponent, root operation and logarithm. Þ To simplify the algebraic form of about exponents, roots and logarithms. Þ To prove the simple properties of exponents, roots and logarithms. | | Þ Using the concept of form exponents, roots and logarithms to solve a problem. Þ Proofing the simple properties in form of exponents, roots and logarithms. | · | 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 | ||||||
SALATIGA MUNICIPALITYEDUCATION, YOUTH AND SPORT DEPARTMENT
STATE SENIOR HIGH SCHOOL 1 SALATIGA
(SMA N 1 SALATIGA)
(SMA N 1 SALATIGA)
Kemiri Street No. 1 Phone.+62298326867 Fax. +62298326867 SALATIGA
Website : www.sman1salatiga.sch.id E-mail : sma_1_sltg@yahoo.com
50711
|
SYLLABUS
School name : Senior High School 1 Salatiga
Subject : Mathematics
Grade/ Semester : X/ 1
Standard of Competency : To solve the problem related to functions, quadratic functions and quadratic inequalities.
| . Skills/ Basic Competency | Indicator | Materials | Learning activities | Time Allotment | Sources | Assessment | ||||||||||||||||
Methods | Instrument | |||||||||||||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | |||||||||||||||
| 2.1 To understand the concept of function. | Þ To differentiate the relation that is a function and that is not a function. Þ To identify the kinds and the properties of function. | Equations, inequalities and quadratic functions. Þ Function of quadratics ( Quadratic function) Þ Relation and function Þ Kind and properties of function. | Þ Understanding the concept of the relation between two sets and examples. Þ Identifying the characteristics of relation that constitute the functions. Þ Describing the meaning of function. Þ Identifying the kinds and the properties of function. Þ Describing the characteristics of function based on its kind. | · 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 | |||||||||||||||
| Skills/ Basic Competency | Indicator | Materials | Learning activities | Time Allotment | Sources | Assessment | ||||||||||||||||
Methods | Instrument | |||||||||||||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | |||||||||||||||
| 2.2 To draw (plot) the graph of function of the simple algebraic and the quadratic functions. | Þ To search the characteristic of graph quadratic function from the algebraic form. Þ To draw the quadratic function graph. Þ To find the positive definite and the negative definite. Þ To Plot the graph of simple algebraic function. | Graph of quadratic function | Þ Determining the value of function in the simple quadratic function. Þ Making the geometric interpretation of relation between the variable value and the function value in quadratic function. Þ Plotting the graph of quadratic function by using relation between the variable value and the function value in quadratic function. Þ Determining the axis of symmetry/ symmetric axis and the extreme point of quadratic function using its graph. Þ Formulating the relation between the axis of symmetry and the vertex point of quadratic function graph and the coefficients of quadratic function. Þ Determining the axis of symmetry and the vertex point of the quadratic function graph from its function formula. Þ Plotting the graph of quadratic function by using the result analysis of its formula. Þ Identifying the positive definite and negative definite of a quadratic function based on its graph. Þ Drawing the simple algebraic function (linear function, constant function and so on) by using the relation between value of variables. | · 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 | |||||||||||||||
| Skills/ Basic Competency | Indicator | Materials | Learning activities | Time Allotment | Sources | Assessment | ||||||||||||||||
Methods | Instrument | |||||||||||||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | |||||||||||||||
| 2.3 . To use the properties and the rules of the equations and the inequalities | Þ To find the roots of quadratic equation. Þ To find the set of solution quadratic inequalities. Þ To use the formula of sum and product of roots of quadratic equation. | Quadratic equations and quadratic inequities. · Solution of quadratic equation. · Solution of quadratic Inequalities Þ The formula of root sum and product of quadratic equation. . | Þ Calculating the sum and product of root of quadratic equation from the solution of quadratic equation. Þ Finding the root of quadratic equation by factorization. Þ Finding the roots of quadratic equation by formula. Þ Finding the solution of quadratic inequalities. Þ Finding the geometric meaning of solution of quadratic equation and quadratic inequalities by using graph of quadratic function. Þ Describing the geometric interpretation of solution of quadratic equation and quadratic inequalities. Þ Calculating the root of sum and product quadratic equation from the result of quadratic equation solution. Þ Finding the relation between sum and product of root with the coefficient of quadratic equation. Þ Formulating the relation of sum and product of root with the coefficient of quadratic equation. Þ Proofing the formula of sum and product root of quadratic equation. | · 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 | |||||||||||||||
| Skills/ Basic Competency | Indicator | Materials | Learning activities | Time Allotment | Sources | Assessment | |
Methods | Instrument | ||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| | Þ To differentiate the kinds of quadratic equation roots. | Þ The root of quadratic equation. | Þ Differencing the kinds of root of quadratic equation by using examples. Þ Identifying the relation of between kind of root of quadratic equation and value of discrimination. Þ Formulating the relation between the kind of quadratic equation root and the value of discrimination. Þ Searching the kind of quadratic equation roots. | · | 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 |
| Skills/ Basic Competency | Indicator | Materials | Learning activities | Time Allotment | Sources | Assessment | ||||||||||
Methods | Instrument | |||||||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | |||||||||
| 2.4 To do algebraic manipulation in calculation related to quadratic equation and inequalities. 2.5To design the model of mathematics from the problem that related to the quadratic equation and or quadratic function. | Þ To arrange (compose) the quadratic equation that its roots are given (are detected). Þ To find the solution of equation that can be carried into quadratic inequalities /equation form. Þ To make the mathematic model from a problem in mathematics, other subject or daily life that related to the quadratic equation or quadratic function. | Þ The arrangement of quadratic equation that its roots are given. Þ The solution others the equation that related to quadratic equation. Þ The using of the quadratic equation and quadratic function in problem solving. | Þ Arranging the quadratic equation that its root are given. Þ Arranging the quadratic equation that its root has relation with the roots of others quadratic equation. Þ Knowing the equations of that can be changed into the quadratic equation. Þ Solving equations those that can be changed into the form of quadratic equation/ quadratic inequalities. Þ Identifying the daily problem that has relation with the equation and quadratic function. Þ Formulating the mathematical model from a problem in mathematics, other subject or daily life that related to the quadratic equation/ quadratic inequalities. | · 4 x 45 minutes. 2 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 | |||||||||
| Skills/ Basic Competency | Indicator | Materials | Learning activities | Time Allotment | Sources | Assessment | ||||||||||
Methods | Instrument | |||||||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | |||||||||
| 2.6 To solve the mathematical the model based on the problem that related to the equation and / or quadratic function and its interpretation. | Þ To solve the mathematical model from a problem in mathematic, other subject or daily life that has relation with quadratic equation or quadratic function. Þ To interpret the solution of problem in mathematics, other subject or daily life that related to the equation or quadratic function. | | Þ Solving the mathematic model base on a problem in mathematic, other subject or daily that has relation with equation or quadratic function. Þ Estimating/ interpreting the solution of problem in mathematics, , other subject or daily life that has relation with equation or quadratic function. | 2 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 | |||||||||
SALATIGA MUNICIPALITYEDUCATION, YOUTH AND SPORT DEPARTMENT
STATE SENIOR HIGH SCHOOL 1 SALATIGA
(SMA N 1 SALATIGA)
(SMA N 1 SALATIGA)
Kemiri Street No. 1 Phone.+62298326867 Fax. +62298326867 SALATIGA
Website : www.sman1salatiga.sch.id E-mail : sma_1_sltg@yahoo.com
50711
|
SYLLABUS
School name : Senior High School 1 Salatiga
Subject : Mathematics
Grade/ Semester : X/ 1
Standard of Competency : To solve a problem related to the linear equation system and inequalities in two variables.
| Skills/ Basic Competency | Indicator | Materials | Learning activities | Time Allotment | Sources | Assessment | ||||||||||
Methods | Instrument | |||||||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | |||||||||
| 3.1 To solve the linear equation system and linear quadratic mixed equation system in two variables. | Þ To find the solution of linear equation system in two variables. Þ To find the solution of system of linear equation in three variables. Þ To find the solution of linear quadratic mixed equation system in two variables. | System of equation and inequalities. Þ System of linear equation two variables. Þ System of linear equation three variables. | Þ Identifying the steps of finding the solution of linear equation system in two variables. Þ Using linear equation system in two variables for problem solving. Þ Identifying the steps of finding the solution of linear equation system in three variables. Þ Using linear equation system in three variables for 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 | |||||||||
| Skills/ Basic Competency | Indicator | Materials | Learning activities | Time Allotment | Sources | Assessment | ||||||||||
Methods | Instrument | |||||||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | |||||||||
| 3.2 To design the mathematical model from the problem of linear equation system. 3.3 To solve the mathematical model from the problem of equation linear system and its estimate. | Þ To identify the problem that has relation with liner equation system. Þ To make the model of mathematics that has relation with linear equation system. Þ To find the solution of mathematic model from problem that has relation with linear equation system. Þ To estimate the result of problem solving that related to linear equation system. | Þ Application the system of equation in two and three variables. | Þ Identifying the daily problem that has relation with system of linear equation. Þ Formulating the mathematical model from a problem in mathematic others subject or daily that relation of system of equation linear. Þ Solving the mathematical model from a problem in other subject of mathematics or daily life that has relation with the system of linear equation. Þ Estimating/ interpreting the problem solving in others subject of mathematics or daily life that has relation with the system of linear equation. | · 2 x 45 minutes Þ | Ø Sources: · Text book · Reference book 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 | |||||||||
| Skills/ Basic Competency | Indicator | Materials | Learning activities | Time Allotment | Sources | Assessment | |
Methods | Instrument | ||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| 3.4 To solve the inequalities of two variables that involves the algebraic fraction. 3.5To design the mathematical model from problem that has relation with inequalities two variables and its estimate. | Þ To find the condition of inequality solution that involves algebraic fraction. Þ To find the solution of inequalities in have two variables that involves the algebraic fraction. Þ To identify the problem that relation with inequalities two variables. Þ To make the mathematic model that relation with inequalities of two variables. | Þ Inequalities in Two variables form of algebraic fraction. Application of inequalities in two variables in algebraic fraction. | Þ Identifying the steps of solving inequality in two variables. Þ Using inequalities solution in two variables to solve problem. Þ Identifying the steps of solving inequalities in two variables that involves the algebraic fraction. Þ Using inequalities in two variables that involves the algebraic fraction to solve problem. Þ Identifying the problem that has relation with two variables inequalities. Þ Formatting the mathematical model or other subject that has relation with two variables inequalities. | · 4 x 45 minutes · 1 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 |
| Skills/ Basic Competency | Indicator | Materials | Learning activities | Time Allotment | Sources | Assessment | |
Methods | Instrument | ||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| 3.6 To solve the mathematical model from the problem that has relation with two variables inequalities and its interpretation. | Þ To find the solution of mathematical model from the problem that has relation with two variables inequalities and in the form algebraic fraction. Þ To estimate the result of problem solving that has relation with two variables inequalities and in form of algebraic fraction. | | Þ Solving the mathematic model from a problem in mathematic or other subject that has relation with two variables inequalities. Þ Estimating / interpreting the solution of mathematical problem or other subject that has relation with inequality in two variables. | · 1 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 |
| SuApproved by, The Principal of SMA N 1 Salatiga Drs. Saptono Nugrohadi, M.Pd, M.Si NIP. 19680921 199003 1 006 | Salatiga, 2010 Mathematics’ Teacher Dra. Wahyu Tri Astuti, M.Pd NIP 19670908 199802 2 004 | |
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