Download syllabus - SMPN 1 Jetis Ponorogo

SYLLABUS
School
: SMPN 1 Jetis Ponorogo
Subject
: Mathematics
Class
: VIII (Eight)
Semester
: I (One)
Standard Competence: 1. Understanding algebra form, relation, function, and straight line equation
Basic
Competences
Basic
Matter /
Learning
Assessment
Learning activities
Comprehending
the ratio of
Trigonometry
simple
Trigonometry
- Student recognize
the ratio of simple
Trigonometry and its
properties
(trigonometry identity)
1.1
Accomplishing
operation of
algebraic
- Student explain
meaning of coefficient,
the constant, variable,
monomial, binomial,
trinomial in same and
different variable
Algebraic
form
- Discussing operation
of addition,
subtraction,
multiplication, division,
exponent, monomial,
and binomial
- Student accomplish
division of similar and
in similar term
Indicators
 Recognizing the
simple
Trigonometry
ratio and its
properties
(trigonometry
identity)
 Explaining meaning
of coefficient, the
constant, variable,
monomial, binomial,
trinomial in same
and different
variable
 Accomplishing
operation of
addition,
subtraction,
multiplication,
division, exponent,
monomial, binomial
 Accomplishing
division of similar
and in similar term
Technique
Writing test
Writing test
Oral test
Form of
Instrument
Time
allocation
Learning
source
1. Determine value of sin 60o and tan 45o.
2. Prove sin2x + cos2x = 1.
2x40
minutes
Text book,
Environment,
Right triangle
ruler
From following algebraic form:
9v + 3w + 5x – 6y + 8z - 2, determine:
a. The variables
b. The constants
c. The coefficient of each its variable
4x40
minutes
Text Book
Example of Instrument
Essay test
Essay test
Descript : - 3ax(4x – 2y + 3a2 – 5ax2 + 9)
2
23x  4  x  2
= ….
( x  2)
The area of a triangle is (2x2 – 3x – 9), and
length of its base side is (2x – 3) cm.
Determine measure of its height in variable x.
1.2
Describing
algebraic form
into the factors
1.3
Comprehending
relation and
function
Algebraic
form
Relation and
function
- Discussing factorize
term of algebraic form
until three terms
- Student can simplify
division of algebraic
form
- Student accomplish
exponent of the
constant and term
- Student explain by
words and express
daily problem relating
to function
- Student express a
function relating to
daily problem
Function
1.4
Calculating
value of function
1.5
Making sketch
of function
graph of simple
algebraic at
Cartesian
coordinate
system
Function and
Cartesian
coordinate
 Factorizing term of
algebraic form until
three terms
 Simplifying division
of algebraic term
 Accomplishing
exponent of the
constant and term
 Explaining by
words and
expressing daily
problem relating to
function
 Expressing a
function relating to
daily problem
- Student calculate
function value
- Student arranging
function table
- Student calculate
change of function
value if variable
changes
- Student determine
form of function if
value and function
data is known
 Calculating function
value
 Arranging function
table
 Calculating change
of function value if
variable changes
- Student discuss how to
draw function graph
using Cartesian
Coordinate
- Student use daily
problems to make
function graph
 Drawing function
graph using
Cartesian
Coordinate
 Using daily
problems to make
function graph

Writing test
Oral
Essay test
Quiz
Factorize:
1. x2 + 10x + 24
2. x2 + 3x – 10
3 xyz 5
= …………..
z4x
2x40
minutes
Text Book
2 x  52 = ……………
Writing test
Essay test
Writing test
Essay test
Writing test
Essay test
Determining form of
function if value
and function data is
known
Mid comes from Surabaya, Rika comes from
Bandung, John comes from Semarang, Mila
comes from Jakarta, and Ivan comes from
Ponorogo. Express relation “comes from”
between set of children and their extraction
city by using:
a. Arrow diagram
b. Set of ordered pairs
1. A function is determined by formula
f(x) = x2 – 6x +9, value of f(x) if x = 0, is…
2. A function is determined by formula
f(x) = 4x + b. If map of x=2 is 3, the value of
b:
3. A function is defined as f(x) = ax + 5. If map
of x = 5 is 20, value of a is …
4. A function is determined by formula
f(x) = px + q. If f(-3) = -- 7, and f(2) = 8,
determine:
a. Value p and q
b. Formula of function
Given function f(x) = -x + 3, and domain
K= {-3, -1, 1, 3, 4, 5}.
a. draw the table of function f
b. draw the function at Cartesian diagram
4x40
minutes
Text Book
Environment
2x40
minutes
Text Book
Environment
2x40
minutes
Text book,
Paper
1.6
Determining
gradient,
equation, and
graph of straight
line
- Student recognize
straight line equation in
many forms and
variables
- Student arrange pairs
table and drawing
graph in Cartesian
coordinate
- Student recognize and
determining straight line
equation in many forms
Recognizing
straight line
equation in many
forms and variables
 Arranging pairs
table and drawing
graph in Cartesian
coordinate
 Recognizing and
determining straight
line equation in
many forms

Writing test
Essay test
Check whether equation below is straight line
or not. y = -2x, 3x + 5y – 8 = 0, y – 5x = 6,
5x - 4y + 6 = 12 , ¾ x – ½ y + 12 = 14
4x40
minutes
Text book,
Ruler,
Environment
Draw equation graph of equation y = 2x,
x Є {x|0 ≤ x ≤ 3, x Є R}.
Check whether equation below is straight line
or not straight line!
y = -2x,
3x + 5y – 8 = 0,
y – 5x = 6,
5x - 4y + 6 = 12 , ¾ x – ½ y + 12 = 14
Standard Competence: 2. Comprehending linear equation system with two variables and use it in problem solving
Assessment
Basic
Competences
Basic
Matter/
Learning
2.1
Solving linear
equation system
with two variables
(LESTV)
Linear
equation
system
with two
variables
- Student determinate solution
of linier equation system with
two variables with
substitution, elimination, and
graph.
- Student accomplish non-linier
equation system by using
linier equation system with
two variables

2.2
Making
mathematics
model based on
the related
problem to linear
equation system
with two variables
Linier
equation
system
with two
variables
- Student make math model
from daily problems involving
linier equation system with
two variables

Learning activities
Indicator
Time
Allocation
Learning
Source
Technical
form
Instrument
Determining solution of
linier equation system
with two variables with
substitution,
elimination, and graph.
 Accomplishing nonlinier equation system
by using linier equation
system with two
variables
Essay test
Writing test
Determine Solution set of LESTV: 3x + 2y = 6
and 2x – y = 4, by substitution method
Determinate Solution set of LESTV below by
elimination and graph method:
2x + 3y = 4
x + 2y = 5
Determine solution of x2 + y2 = 13 and
x2 - y2 = 5
2x40
minutes
Text Book
Environment
Making math model
from daily problems
involving linier
equation system with
two variables
Essay test
Writing test
The price of 2 pens and 5 books are Rp.8.300,
00. The price of 5 pens and 3 books are
Rp.6.500, 00. Make its model of mathematics
4x40
minutes
Text Book
Environment
Example of instrument
2.3
Solving
mathematics
model based on
the related
problem to linear
equation system
with two variables
and its estimation
Linier
equation
system
with two
variables
Standard competences
Basic
Competences
3.1
Using
Pythagorean
theorem to
determine length
of side of right
triangle
Basic
Matter/
Learning
Pythagorean
theorem
- Student use concept of linear
equation to solve problem
Using concept of linear
equation to solve
problem

Writing test
Essay test
The price of 2 pens and 5 books are Rp.8.300,
00. The price of 5 pens and 3 books are
Rp.6.500, 00. Determine the price of a pen and
a book.
2x40
minutes
Text Book
Environment
: 3. Using Pythagorean Theorem in problem solving
Assessment
Learning activities
- Students explain and find
Pythagorean theorem and
its pre-requirements
- Students write
Pythagorean theorem for
sides of triangle
-
Students calculate sides
of right triangle
Indicator



Explaining and
finding Pythagorean
theorem and its prerequirements
Writing Pythagorean
Theorem for sides of
triangle
Calculating sides of
right triangle
Technical
form
Instrument
Brief
stuffing,
writing test
List of
questions,
essay test
Example of instrument
Determine the simplest form!
1. 81 
2. 12 =
Write formula to express length of the
hypotenuse
b.
.
c
a
Look at picture below, based on the
picture below, determine value of x
12 cm
x
13 cm
- Students calculate ratio of
right triangle sides having
angles 300,450, and 600

Calculating ratio of
right triangle sides
having angles
300,450, and 600
Given ∆DEF is right triangle with length of
DF = 10 cm, and DEF = 600. Determine
length of
a. DE
b. EF
Time
Allocation
6x40
minutes
Learning
Source
Text book
Environment
3.2
Using
Pythagorean
theorem to solve
the problem
about plain
shape
Pythagorean
theorem
- Students apply
Pythagorean theorem in
daily life

- Students use
 Calculating length of
Pythagorean theorem to
calculate length of
diagonals and sides at
plain shape, such as
square, rectangle, etc
Applying
Pythagorean
theorem in daily life
diagonal and side at
plain shape, such as
square, rectangle,
rhombus, kite,
parallelogram, etc.
Writing test
Essay test
Alex will paint the ceiling of a building. For
that purpose, he uses a ladder 3 m in
length. The ladder leans on a wall. The
bottom of the ladder is 1 m from the wall.
What is the height of the ceiling from the
floor?
Rectangle KLMN has length KL = 7 cm
and MN = 24 cm. Calculate length of
diagonal KN!
6x40
minutes
Text book
Environment
SYLLABUS
School
: SMPN 1 Jetis Ponorogo
Subject
: Mathematics
Class
: VIII (Eight)
Semester
: II (Two)
Standard Competence: 4. Determining unsure and dimension of circle and also its measure
Basic
Competences
Basic Matter
/ Learning
Learning Activities
Indicators
Applying formula
of median,
altitude and
bisector
Formula of
lines of
triangle
- Students apply formula of
median, altitude and
bisector
Recognizing and applying
formula of median, bisector,
and altitude.
4.1
Determining
unsure and
dimension of
circle
Dimension of
Circle
- Students discuss unsure
 Differencing circle and
and dimention of circle: arc,
circle plain and
center angle, sector,
mentioning its elements
radius, diameter, etc.
Technique
Writing test
Writing test
Assessment
Instrume
Example of Instrument
nt form
Given triangle ABCD with AB =
12 cm, BC = 5 cm, and AC = 13
Essay test cm. Determine length of
median, altitude, and bisector
on side AB.
Multiple
choice
Mention parts of circle below!
.
L
K
M
R

T P
Time
allocation
Learning
sources
4x40
minutes
Text book
4x40
minutes
Text Book
6x40
minutes
Text Book
N
Q
4.2
Calculating
circumference
and area of circle
Circumferenc
e and area of
circle
- Students determine
approximation value of
phi
 Determining
approximation value of
phi ()
- Students calculate area
and circumference of
circle
 Calculating area and
circumference of circle
- Students calculate change  Calculating change of
of measurements of
measurements of circle if
circle if the radius are
the radius are changed
change
Writing test,
demonstration
Essay test
Value of circumference:
diameter is called as phi (), so
what is your conclusion about
value of phi ()?
Determine area and
circumference if
a. length of radius = 7 cm
b. Length of diameter = 28 cm
Determine length of radii if the
area of the circle is 77  cm2
4.3
Circle
Using relation
of central angle,
length of arc,
and area of
sector in
problem solving
4.4
Determining
length of
tangents
Circle
- Students calculate
length of arc, area of
sector, and area of
segment

Calculating length of
arc, area of sector, and
area of segment
- Students recognize
relation of central
point, and
circumference point if
face on same arc
- Students determine
measure of
circumference point if
face on diameter and
same arc

Recognizing relation
of central point, and
circumference point if
face on same arc
Determining measure
of circumference point
if face on diameter and
same arc
- Students determine
properties of angle
formed by line passing
center point and
tangents of circle

Determining properties
of angle formed by line
passing center point
and tangents of circle
- Students are
recognized properties
of tangents
- Students mention
locus of two circles
- Student draw and
calculate length of
tangents
- Students draw and
calculate length of
inner common tangent
and outer common

Recognizing properties
of tangents
Mentioning locus of
two circles
Draw and calculating
length of tangents




Drawing and
calculating length of
inner common tangent
and outer common
Writing test
Essay test
A circle has radius 14 cm, if
angle AOB = 600, calculate
length of AB, sector AB and
segment AB.
4x40
minutes
Text Book
6x40
minutes
Text book
Environment
George designs a wheel with 30
spokes. The spokes are
numbered from 1 to 30. What
degree is the central angle
between spokes 1 and 11?
Oral test,
Writing test
List of
question,
Essay test
Mention locus of circle
figure bellow is circle O!
What are the tangents and the
tangent points of the circle?
Mention properties of tangent
Draw tangents at circle O in
above.
K
x
R
L

r
A
a

B
x = ….

- Students calculate
length of minimum
coil connecting two
circles by using
formula
4.5
Drawing in
circle and
circum circle of
a triangle
In circle and
circum
circle
Calculating length of
minimum coil
connecting two circles
by using formula
Length of minimum coil
above is …
- Student can draw the
in circle of a triangle
using ruler and
compass
- Student can draw the
circum circle of a
triangle using ruler and
compass

Drawing the in circle
of a triangle

Drawing circum circle
of a triangle
Writing test
Essay test
Using ruler and compass
draw in circle and circum
circle of the following
triangle!
4 x 10
minutes
Text Book
Standard Competence : 5. Comprehending properties of cube, cuboids, prisms, pyramids and its parts and determining their measure.
Basic
Competences
5.1
Identifying
properties of
Basic
Matter/
Learning
Solid
convex
lateral
cube, cuboids,
prism, pyramid
and its parts
5.2
Making nets of
cube, cuboids,
prism, and
pyramid
Assessment
Learning activities
- Students mention unsure
of cube and cuboids using
model
- Students mention unsure
of prism and pyramid using
Indicator
Mention unsure of
cube, cuboids, prism,
and pyramid: edges,
surface, side diagonal,
etc.
Technical
Writing test
form
Instrument
Students draw net of cube,
cuboids, prism, and pyramid
W
Essay test
T
P
S
V
U
Time
Allocation
Learning
Source
4x40
minutes
Text Book
4 x 40
minutes
Text Book
R
Q
Look at PQRS-TUVW
a. Mention the edges
b. Mention the space diagonal
Mention the base and up laterals
model
Solid
convex
lateral
Example of instrument
Making and drawing
net of cube, cuboids,
prism, and pyramid
Writing
test
Essay test
Make a model of cuboid using cartoon
paper and draw the net.
5.3
Calculating
surface area
and volume of
cube, cuboids,
prism, and
pyramid
Surface
area and
volume of
cube,
cuboids,
prism,
and
pyramid
- Determine formula of
surface area of cube,
cuboids, prism, and
pyramid.
- Using formula to calculate
surface area of cube,
cuboids, prism, and
pyramid.
- Determine formula of
volume of cube, cuboids,
prism, and pyramid.
- Using formula to calculate
volume of cube, cuboids,
prism, and pyramid.
- Students calculate
elements of cube, cuboids,
prism, and pyramid if its
volume known
Writing
 Determining formula
test
of surface area of
cube, cuboids, prism,
and pyramid.
 Calculating surface
area of cube, cuboids,
prism, and pyramid.
Essay test
 Determining formula
of volume of cube,
cuboids, prism, and
pyramid.
 Calculating volume of
cube, cuboids, prism,
and pyramid.
 Calculating elements
of cube, cuboids,
prism, and pyramid if
its volume known
- Mention formula of surface area of cube if 8 x 40
its edge is x cm.
minutes
Text Book
- Base of prism has formed equilateral
triangle. Length of base side is 6 cm and
high of prism is 8 cm. Calculate surface
area of prism!
- Mention formula volume of:
a. cube with length of their sides is k cm.
b. cuboids with length p cm, width l cm,
and high t cm.
- A pyramid has the base is square with
length of side 9 cm. If high of pyramid 8
cm, then determine its volume!
- Determine measure of cube side if given
volume of cube is 125 cm square.
Jetis, July 2010
Math team of SMPN 1 Jetis Ponorogo,
Sugiantoro, S.Pd
NIP.195510241979031007
Jemani, S.Pd
NIP. 196905071993011001
Endang Setyo H, S.Pd
NIP. 19650908 1994122002
Rahmadi Dwi W, S.Pd
NIP.196607242007011015
Approved by
The Principal of SMPN 1 Jetis
Nunuk Sri Murni Karyati, M.Pd
NIP. 19600117 197903 2 001
Yuridis Madyarsa D.A, S.Pd
Suharyanto, S.Pd