kisi-kisi sem 1 kls 8 tahun 2011 (1)

8/3/2019 Kisi-kisi Sem 1 Kls 8 Tahun 2011 (1)

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Table of Specification of Final Semester Test ItemsFor Pilot International Standard School – Junior High School

(RSBI)

Subject : MathematicsYear / Semester : VIII / 1

Test Type : Multiple Choice

Number of Items : 40 Items

Academic Year : 2011-2012

No Standard of

Competence

Basic Competence Topics Indicators Item

1 ALGEBRAUnderstanding thealgebraic form,relation, function,and equation of astraight line

Doing algebraicoperations

•Addition of algebraic

expressions

Given two binomials qx p A += and bax B += ,students find the sum.

1

• Expansion usingthe distributive law

• Given two trinomials each with a scalar, students find thedifference.

• Given two algebraic expressions ( )cbxak +− , students

find the simplest form.

2

3

• Multiplication of algebraicexpressions

• Students can find the result of (ax + b)(cx +dk)

• Students can find the result of (ax – b)2.

414,42

• Expansion(a + b)(c + d)

• Given multiplication of binomials( )( ) ( ) g fx xe pd cxbax +++=++

2, students find the

value of p.

5

Factorizing analgebraic form

Factorization • Given the difference of two squares2qx p − consisting of

LCM, students determine one of its factors.

• Using the factorization concept, the studens determine the

value of k in the form ( )ak aa nn+=+

+1

1.

6

7



Fractional

algebraicexpression

• Given a fractional algebraic expressionedxax

cbx x

++

++

2

2

with

1≠a , students find its simplest form.

• Given the operation of fractional algebraic expression,

students find its simplest form.

8

43

Understanding arelation and a

function

• Determining arelation

• Given a set of ordered pairs, students determine its possiblerelation.

9

• Representing afunction

• Students choose a set of ordered pairs which form afunction.

• Students choose an arrow diagram which forms a function

• Given a function in an arrow diagram, students find therange

10

11

Determining thevalue of a function

• Value of a function

•

The number inone-to-onecorrespondence

• Given a rule of a function ( ) cbxax x f ++=2

, students

find the value of )()( k f k f −−

.• Given q px xh +→: and h(b) = c, students determine the

value of h (d) = ....

• Given set A to set B as one-to-one correspondence and thenumber of one-to-one correspondence, students choose the

possible set B.

12

13,44

14

Making a graph of an algebraic function

on Cartesiancoordinates

• Table of a function • Given a rule of a function R to R, ( ) bax x f += and itsdomain as set builder notation, students find its range as set

builder notations.

• Given a rule of a function R to R, ( ) cbxax x f ++=2

with and its domain as set builder notation, students find itsrange as set builder notations.

15

45

• Graph of a function • Students can determine a graph that represents a function.

• Given a Cartesian diagram, students choose a mapping thatexpresses the diagram.

16

17

Determining the

slope of an equation

and straight line

• Slopes • Given a linear equation, students determine the slope.

• Given a straight line that passes through a fixed point and

the central point, students find its gradient.

18

19



graphs

• Y-intercept of a straight line

• Given a straight line that passes through points, studentsfind its gradient.

• Given a fixed gradient of a straight line, students determine pairs of points that satisfy its gradient.

• Given a gradient of a straight line and a fixed point on the

line that cuts on X-axis, students determine the y-intercept of the line.

46

20

21

Straight lines • Given coordinates of three points in a table and a certainlinear equation of a straight line, students determine the

point that lies on the line.

• Given a certain linear equation of a straight line, studentsdetermine the graph of the line.

• Given a graph of a straight line consisting of the number of Y -intercept and one coordinate on the line, studentsdetermine the coordinates of the intersection of the line and

X -axis.

• Given a fixed point and an equation of a straight line,students find the equation that is perpendicular to the line

passing through the point.

• Given three equations of a straight line, students find the

equation of a straight line that passes through the point of the intersection of the first two lines and is parallel to the

third line.

22, 47

23

24

25

26

2. Understanding a

linear equationssystem in two

variables (LESTV)and applying it in

problem solving

Solving the linear

equations system intwo variables

Solution of the

linear equationssystem in two

variables

• Given a linear equations system, students find the solution

• Given a fraction linear equations system,students find the

solution

27,28,

4829

Making amathematical modelfrom a problemrelated to the linear equations system intwo variables

Makingmathematical

model of LESTV

• Students can determine a mathematical model of the

daily life problem.

30,31

Solving amathematical model

from problems

Solving problem

related to LESTV

• Students can solve the daily life problem related to

LESTV

32, 33



related to the linear equation system intwo variables and theinterpretation

3. GEOMETRYAND

MEASUREMENTUsing Pythagorean

theorem in problemsolving

Applying thePythagorean

theorem todetermine the

length of a side of a right-angled

triangle

Using formula of

Pythagorean

theorem

• Given the right-angled triangle, students determine theformula of the Pythagorean theorem.

• Students determine the length of a side of a right-angled

triangle if the other sides are known.

• Given some of triple numbers, students determine thetriple Pythagorean numbers.

34

35,49

36

Solving the problem on a plan

figure related to the

PythagoreanTheorem

Using formula of

Pythagorean

theorem in plane

figure

• Students solve the problem of a triangle usingPythagorean Theorem.

• Students solve the problem of a trapezoid using

Pythagorean Theorem.• Students solve the problem of a kite using Pythagorean

Theorem.

37,50

38

39

Solving the

problem by using

Pythagoreantheorem

• Students can solve the daily problems related toPythagorean theorem.

40

kisi-kisi sem 1 kls 8 tahun 2011 (1)

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