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SILLABY
School : LEMATANG LESTARI JUNIOR HIGH SCHOOL
Class : VII
Subject : Mathematics
Semester : Even
Competent Standard: Algebra
4. To use the concepts of sets and Venn diagram in problem solving.
Basic
Competence
Topic Learning Activities Indicators Assessment Time
Allocation
Learning Source
Technique Instrument
Task
Instrument Example
4.1 To
understand the
definition and
notation of sets
and how to
represent it.
SETS
The students discuss
about the definition of
sets by stating the
daily problem in sets
form.
The Students also
mention the elements
of sets and distinguish
which one the
elements of sets or
elements of sets.
The Students state the
set notation.
PRODUCT
1. To identify
the
collections
is a set or
not.
2. To mention
the element
and
number of
element of
the set.
3. To
represent a
set .
Written Test
Written Test
Written Test
Check Box
Table List
Essay
Give the check box sign of
the following sets.
1. Collection of the
rubbish in your
school.
Fill the table in the
following.
Sets Elements
Collection
of plant
Collection
of mammals
State the sets in the following
by using list .
P is set of the even number
less than 10
3 x 40’
LCD Projector
Environment
Internet
Students
Worksheet.
Mathematics
Text book for 2nd
semester grade 7
that published by
Erlangga
SILLABY
Basic
Competence
Topic Learning Activities Indicators Assessment Time
Allocation
Learning Source
Technique Instrument
Task
Instrument Example
4.1 To
understand the
definition and
notation of sets
and how to
represent it.
SETS
The students discuss
about the empty sets
and its notation.
The students discuss
about the universal
sets.
 PRODUCT
4.To identify the
empty sets.
5.To identify the
universal sets .
CHARACTER:
The Students
show good
character behavior
such as: carefully,
honest
,responsibility,
work together, and
admire friend’s
opinion.
Written Test
Written Test
Check Box
Essay
Give the check box sign of
the following sets.
a. M = { the even prime
number}
b. Q = { the odd number
less than 0}
Find the 2 universal sets of
these sets.
a. B = {2, 4, 6, 8}
b. D = { 1,4,9,25}
3 x 40’
LCD Projector
Environment
Internet
Students
Worksheet.
Mathematics
Text book for 2nd
semester grade 7
that published by
Erlangga
4.2To
understand the
concept of
subsets.
SUBSETS The Students
determine the subsets
from sets.
The students also find
out the number of
subsets from the sets.
6.To determine the
subsets from set.
7.To find out the
number of
subsets from the
sets.
Written Test
Written Test
Essay
Essay
Determine the subsets
relationship between the sets
below.
A = { 2,3,4,5}
B = { a, i, u, e }
Determine the number of Q
subsets if let:
a. Q = {}
b. n(Q) = 4
3 x 40’
3 x 40’
LCD Projector
Environment
Internet
Students
Worksheet.
Mathematics Text
book for 2nd
semester grade 7
that published by
Erlangga
SILLABY
School : LEMATANG LESTARI JUNIOR HIGH SCHOOL
Class : VII
Subject : Mathematics
Semester : Even
Competent Standard: Algebra
4. To use the concepts of sets and Venn diagram in problem solving.
Basic
Competence
Topic Learning Activities Indicators Assessment Time
Allocation
Learning Source
Technique Instrument
Task
Instrument Example
4.3 To do
operation on sets
intersection,
union, difference,
and complement.
SETS
INTER
SECTION,
UNION,
DIFFEREN
CE
AND
COMPLE
MENT
The students discuss
about the definition of
sets intersection and
union.
The students also
discuss about the
difference and
complement of sets.
 PRODUCT
8.To explain the
definition of sets
intersection and
union.
9.To explain the
difference of
sets.
10. To explain
the complement
of a sets.
Written Test
Written Test
Written Test
Essay
Essay
Essay
Find P by mention its
elements, then determine n
(P for P and Qset
below.
a. P = {x|
b. Q = x|
Let S = { whole number
less than 15}
A = {x|
B = {x|
a. AC
b. BA
3 x 40’
3 x 40’
3 x 40’
LCD Projector
Environment
Internet
Students
Worksheet.
Mathematics
Text book for 2nd
semester grade 7
that published by
Erlangga
SILLABY
School : LEMATANG LESTARI JUNIOR HIGH SCHOOL
Class : VII
Subject : Mathematics
Semester : Even
Competent Standard: Algebra
4. To use the concepts of sets and Venn diagram in problem solving.
Basic
Competence
Topic Learning Activities Indicators Assessment Time
Allocation
Learning Source
Technique Instrument
Task
Instrument Example
4.4 To represent
the sets using
Venn Diagram.
Venn
Diagram
The studentsdiscuss
how to represent the
union/ intersection of
sets using Venn
Diagram.
The students also
discuss howto
represent the
difference and
complement of sets.
 PRODUCT
11. To
represent the
union/
intersection of
sets using Venn
Diagram.
12. To
represent the
difference of
sets using Venn
Diagram.
13. To
represent the
complement of
sets using Venn
Diagram.
Written Test
Written Test
Written Test
Essay
Essay
Essay
Let S = {whole number less
than 15}, P = {x|
, Q = x|
.
Represent the sets in the
following by list. Then, show
the shaded area on Venn
Diagram if:
a. P
b. P
c. PQ
d. P
3 x 40’
3 x 40’
LCD Projector
Environment
Internet
Students
Worksheet.
Mathematics
Text book for 2nd
semester grade 7
that published by
Erlangga
SILLABY
School : LEMATANG LESTARI JUNIOR HIGH SCHOOL
Class : VII
Subject : Mathematics
Semester : Even
Competent Standard: Algebra
4. To use the concepts of sets and Venn diagram in problem solving.
Basic
Competence
Topic Learning Activities Indicators Assessment Time
Allocation
Learning Source
Technique Instrument
Task
Instrument Example
4.5 To apply the
concept of sets to
solve
mathematical
problem.
Applying
the concept
of sets.
The studentsdiscuss
how to solve the
mathematical
problem which
related to sets
concept.
 PRODUCT
14. To solve
the daily
problem by
using Venn
Diagram and
concept of sets.
Written Test Essay In a class there are 48
students. They choose two
kind of sport that they like it.
In fact, there are 29 students
who like playing basketball,
27 students who like playing
volley ball and 6 students
don’t like both of them.
a. Represent it into
Venn Diagram.
b. Determine the
number of student
who like playing
basket ball and volley
ball.
6 x 40’
LCD Projector
Environment
Internet
Students
Worksheet.
Mathematics
Text book for 2nd
semester grade 7
that published by
Erlangga
SILLABY
School : LEMATANG LESTARI JUNIOR HIGH SCHOOL
Class : VII
Subject : Mathematics
Semester : Even
Competent Standard: Algebra
5. To understand the relation of line with line, line with angle, angle with angle and to determine the measure.
Basic
Competence
Topic Learning Activities Indicators Assessment Time
Allocation
Learning Source
Technique Instrument
Task
Instrument Example
5.1 To find the
relationship
between two
lines, the
measure and
type of angles.
LINES
ANGLES
The students
discuss about the
position of two
lines.
The Students also
discuss about the
unit of angle.
The Students
measure and draw
the angles.
The students also
discuss about the
different of types
of angles.
 PRODUCT
1. To explain the
position of two
lines ( parallel,
superimpose,
intersection and
skew).
2. To know the unit
of angle.
3. To measure and
draw the angle by
using the
protractor.
4. To explain the
different of types
of angles ( Right,
Acute, Straight,
Obtuse and
reflection angles).
Written Test
Written Test
Written Test
Written Test
Essay
Essay
Essay
Essay
Consider the
Pictures.
Find out the
Parallel,
superimpose,
intersection and skew line.
Find the sum of angle:
50
24’ 14 “ + 20
15’ 22”
Measure the size of angle
below using a protractor
Classify the types of angle
below.
a. 680
b. 1760
1 x 40’
2 x 40’
2 x 40’
LCD Projector
Environment
Internet
Students
Worksheet.
Protractor
Compass
Mathematics
Text book for 2nd
semester grade 7
that published by
Erlangga
SILLABY
Class : VII
Subject : Mathematics
Semester : Even
Competent Standard: Algebra
5. To understand the relation of line with line, line with angle, angle with angle and to determine the measure.
Basic
Competence
Topic Learning Activities Indicators Assessment Time
Allocation
Learning Source
Technique Instrument
Task
Instrument Example
5.1 To find the
relationship
between two
lines, the
measure and
type of angles.
UNIT OF
ANGLES
SUPLEM
ENTARY
COMPLE
MENTAR
Y
The students
discuss about the
measurement of
angle
(degrees,minute
and secon).
The Students
discuss about
suplementary
angles
The students
discuss about the
complementary of
angles.
 PRODUCT
5. To calculate
mesurement of
angle in
degrees,minute
and secon unit.
6. To find out the
suplementary
angles.
7. To find out
complementary
angles.
Written Test
Written Test
Written Test
Essay
Essay
Essay
500
44’56’’ + 50
13’34”
560
45’32” – 430
12’46”
Find the suplementray of :
a. 140
b. 780
c. 1230
Find the complementary of:
a. 340
b. 450
c. 760
3 x 40’
2 x 40’
2 x 40’
LCD Projector
Environment
Internet
Students
Worksheet.
Protractor
Compass
Mathematics
Text book for 2nd
semester grade 7
that published by
Erlangga
SILLABY
School : LEMATANG LESTARI JUNIOR HIGH SCHOOL
Class : VII
Subject : Mathematics
Semester : Even
Competent Standard: Algebra
5. To understand the relation of line with line, line with angle, angle with angle and to determine the measure.
Basic
Competence
Topic Learning Activities Indicators Assessment Time
Allocation
Learning Source
Technique Instrument
Task
Instrument Example
5.2 To
understand
the properties
of angle as
the result of
the
intersection of
two lines or
two parallel
lines with a
third line
(transversal
line).
THE
RELATION
BETWEEN
LINE AND
ANGLE
The students
discuss about the
properties of
angle as the result
of the intersection
of two lines.
The Students also
discuss to solve
mathematical
problems.
 PRODUCT
8. To find the
properties of angle
as the result of the
intersection of two
lines or two
parallel lines with
a third line.
9. To use the
properties of angle
and lines to solve
mathematical
problem.
Written Test
Written Test
Essay
Essay
p q a b
r s c d
Based on the picture above,
determine the relationship
between the following
angles:
a. p and q
b. p and r
c. q and a
d. q and c
(2x + 10)0
(5x-5)0
Based on the picture above,
find the size of
3 x 40’
6 x 40’
LCD Projector
Environment
Internet
Students
Worksheet.
Protractor
Compass
Mathematics
Text book for 2nd
semester grade 7
that published by
Erlangga
SILLABY
School : LEMATANG LESTARI JUNIOR HIGH SCHOOL
Class : VII
Subject : Mathematics
Semester : Even
Competent Standard: Algebra
5. To understand the relation of line with line, line with angle, angle with angle and to determine the measure.
Basic
Competence
Topic Learning Activities Indicators Assessment Time
Allocation
Learning Source
Technique Instrument
Task
Instrument Example
5.3 To
construct
angles.
5.4 To
divide
angles.
CONSTRUCT
ANGLES
DIVIDE
ANGLES
The students
construct the
angle by using
the protractor
and compass.
The Students
divide an angle
into equal parts.
 DRAWING SKILL
10. To construct a 600
,
900
, 300
, 450
, 1200
and 1500
.
11. To divide an angle
into two equal
parts.
Skill Test
Skill Test
Drawing
Direction
Drawing
Direction
Bu using a protractor,
construct these angles:
a. 600
b. 900
c. 1200
d. 1500
.
By using a protractor,
duplicate these angles:
3 x 40’
3 x 40’
LCD Projector
Environment
Internet
Students
Worksheet.
Protractor
Compass
Mathematics
Text book for 2nd
semester grade 7
that published by
Erlangga
SILLABY
School : LEMATANG LESTARI JUNIOR HIGH SCHOOL
Class : VII
Subject : Mathematics
Semester : Even
Competent Standard: Geometry
6. To understand the concept of quadrilaterals and triangle and to determine the measure.
Basic
Competence
Topic Learning Activities Indicators Assessment Time
Allocation
Learning Source
Technique Instrument
Task
Instrument Example
6.1 To
identify the
properties of
triangle in
term of its
side and
angle.
TRIANGLE The students
discuss about the
triangle.
They also will
classify the type
of triangle
according its sides
and its angle.
The Students
discuss how find
out the amount of
angles in triangle
is 1800
.
 PRODUCT
1. To classify the type
of triangle according
its sides.
2. To classify the type
of triangle according
its angles.
Written Test
Written Test
Essay
Essay
Determine the type of
triangles below based on its
side length and its angle.
a.
b.
c.
3 x 40’
LCD Projector
Environment
Internet
Students
Worksheet.
Triangle model
Triangle from
Styrofoam
Color Paper
Mathematics
Text book for 2nd
semester grade 7
that published by
Erlangga
SILLABY
School : LEMATANG LESTARI JUNIOR HIGH SCHOOL
Class : VII
Subject : Mathematics
Semester : Even
Competent Standard: Algebra
6. To understand the concept of quadrilaterals and triangle and to determine the measure.
Basic
Competence
Topic Learning Activities Indicators Assessment Time
Allocation
Learning Source
Technique Instrument
Task
Instrument Example
6.2 To
identify the
properties of
rectangle,
square,
trapezoid,
parallelogram
, rhombus and
kite.
QUADRI
LATERAL
The students
discuss about the
definition of
rectangle.
The students
discuss about the
definition of
square.
The students
discuss about the
definition of
trapezoid.
 PRODUCT
1. To explain the
definition of
rectangle.
2. To explain the
definition of square.
3. To explain the
definition of
trapezoid.
Written Test
Written Test
Written Test
Essay
T/F
Essay
KLMN is rectangle, so
Find out the parallel sides.
State True or False these
statements:
a. Every angle of a
square is right angle.
b. The size of the
diagonal of a square
is same.
ABCD is right trapezoid with
its edge parallel with side AB
and side DC. Draw the line
m that symmetrical of the
trapezoid.
2 x 40’
1 x 40’
1 x 40’
LCD Projector
Environment
Internet
Students
Worksheet
Quadrilateral
model
Quadrilateral
from Styrofoam
Color Paper
Mathematics
Text book for 2nd
semester grade 7
that published by
Erlangga
SILLABY
School : LEMATANG LESTARI JUNIOR HIGH SCHOOL
Class : VII
Subject : Mathematics
Semester : Even
Competent Standard: Algebra
6. To understand the concept of quadrilaterals and triangle and to determine the measure.
Basic
Competence
Topic Learning Activities Indicators Assessment Time
Allocation
Learning Source
Technique Instrument
Task
Instrument Example
6.2 To
identify the
properties of
rectangle,
square,
trapezoid,
parallelogram
, rhombus and
kite.
QUADRI
LATERAL
The students
discuss about the
definition of
parallelogram.
The students
discuss about the
definition of
rhombus.
The students
discuss about the
definition of kite.
 PRODUCT
4.To explain the
definition of
parallelogram.
5. To explain the
definition of
rhombus.
6. To explain the
definition of kite.
Written Test
Written Test
Written Test
T/F
Essay
Essay
EFGH is a parallelogram,
True or false these
statements:
A . FE// GH
B. FD = DG
Find the angle which has
same size.
2 x 40’
1 x 40’
2 x 40’
LCD Projector
Environment
Internet
Students
Worksheet
Quadrilateral
model
Quadrilateral
from Styrofoam
Color Paper
Mathematics
Text book for 2nd
semester grade 7
that published by
Erlangga
SILLABY
School : LEMATANG LESTARI JUNIOR HIGH SCHOOL
Class : VII
Subject : Mathematics
Semester : Even
Competent Standard: Algebra
6. To understand the concept of quadrilaterals and triangle and to determine the measure.
Basic
Competence
Topic Learning Activities Indicators Assessment Time
Allocation
Learning Source
Technique Instrument
Task
Instrument Example
6.3 To
determine the
perimeter and
area of
triangle and
rectangle and
apply them to
solve
mathematical
problems.
PERIMETER
AND AREA
OF
TRIANGLE
AND
QUADRILAT
ERAL
The students
discuss about
the perimeter
and area of
triangle formula.
The students
discuss about
solve
mathematical
problem.
The students
discuss about
the perimeter
and area of
rectangle and
square formula.
 PRODUCT
7.To find out the
perimeter and area of
triangle formula.
8. To solve
mathematical
problem by using the
perimeter and area of
triangle.
9. To find out the
perimeter and area of
rectangle and square
formula.
Oral Test
Written Test
Written Test
Question
List
Essay
Essay
By using a sheet a paper, do
you find out the perimeter
and area of triangle?
Let the perimeter of triangle
is 40 cm. Find the area of the
triangle!
What the measure of sum
corn sides of triangle.
3 x 40’
3 x 40’
3 x 40’
LCD Projector
Environment
Internet
Students
Worksheet
Quadrilateral
model
Quadrilateral
from Styrofoam
Color Paper
Mathematics
Text book for 2nd
semester grade 7
that published by
Erlangga
SILLABY
School : LEMATANG LESTARI JUNIOR HIGH SCHOOL
Class : VII
Subject : Mathematics
Semester : Even
Competent Standard: Algebra
6. To understand the concept of quadrilaterals and triangle and to determine the measure.
Basic
Competence
Topic Learning Activities Indicators Assessment Time
Allocation
Learning Source
Technique Instrument
Task
Instrument Example
6.3 To
determine the
perimeter and
area of
triangle and
rectangle and
apply them to
solve
mathematical
problems.
PERIMETER
AND AREA
OF
TRIANGLE
AND
QUADRILAT
ERAL
The students
discuss about
the perimeter
and area of
parallelogram
and trapezoid
formula.
The students
solve
mathematical
problem by
using the
perimeter and
area of
parallelogram
and trapezoid.
 PRODUCT
10.To find out the
perimeter and area of
parallelogram and
trapezoid formula.
11. To solve
mathematical
problem by using the
perimeter and area of
parallelogram and
trapezoid formula.
Oral Test
Written Test
Question
list
Essay
By using a sheet a paper, do
you find out the perimeter
and area of parallelogram
and trapezoid?
A trapezoid has the parallel
sides are 6 cm and 12 cm and
its height is 7 cm. Determine
the area of that trapezoid!
What is going on if the area
of new parallelogram:
a. Its height twice than
before;
b. Its surface and height
twice than before.
1 x 40’
2 x 40’
LCD Projector
Environment
Internet
Students
Worksheet
Quadrilateral
model
Quadrilateral
from Styrofoam
Color Paper
Mathematics
Text book for 2nd
semester grade 7
that published by
Erlangga
Tangram
SILLABY
School : LEMATANG LESTARI JUNIOR HIGH SCHOOL
Class : VII
Subject : Mathematics
Semester : Even
Competent Standard: Algebra
6. To understand the concept of quadrilaterals and triangle and to determine the measure.
Basic
Competence
Topic Learning Activities Indicators Assessment Time
Allocation
Learning Source
Technique Instrument
Task
Instrument Example
6.3 To
determine the
perimeter and
area of
triangle and
rectangle and
apply them to
solve
mathematical
problems.
PERIMETER
AND AREA
OF
TRIANGLE
AND
QUADRILAT
ERAL
The students
discuss about
the perimeter
and area of
rhombus and
kite formula.
The students
solve
mathematical
problem by
using the
perimeter and
area of rhombus
and kite.
 PRODUCT
12.To find out the
perimeter and area of
rhombus and kite
formula.
13. To solve
mathematical
problem by using the
perimeter and area of
rhombus and kite
formula.
Oral Test
Written Test
Question
List
Essay
By using a sheet a paper, do
you find out the perimeter
and area of rhombus and
kite?
A rhombus has perimeter 52
m. Calculate the surface area
of the rhombus.
A kite has the size 9 cm and
12 cm. Calculate the
perimeter of that kite!
1 x 40’
2 x 40’
LCD Projector
Environment
Internet
Students
Worksheet
Quadrilateral
model
Quadrilateral
from Styrofoam
Color Paper
Mathematics
Text book for 2nd
semester grade 7
that published by
Erlangga
SILLABY
School : LEMATANG LESTARI JUNIOR HIGH SCHOOL
Class : VII
Subject : Mathematics
Semester : Even
Competent Standard: Algebra
6. To understand the concept of quadrilaterals and triangle and to determine the measure.
Basic
Competence
Topic Learning
Activities
Indicators Assessment Time
Allocation
Learning Source
Technique Instrument
Task
Instrument Example
6.4 To
construct
triangle,
altitude line,
interior angle
bisector line,
median line,
and
perpendicular
bisector line.
CONSTRUCT
TRIANGLE
The students
construct the
triangle if let
its sides, two
sides and one
angle or one
sides and two
angles.
The students
construct the
isosceles and
equilateral
triangle.
The students
construct the
altitude line,
interior angle
bisector line,
median line.
 Drawing Skill
14.To construct the
triangle if let its
sides, two sides and
one angle or one
sides and two
angles..
15.To construct the
isosceles and
equilateral triangle.
16. To construct the
altitude line, interior
angle bisector line,
median line.
Skill Test
Skill Test
Skill Test
Direction
Tools
Direction
Tools
Direction
Tools
Construct the PQR is right
triangle in Q with PQ = 6 cm
and QR = 8 cm.
Construct the XYZ is
equilateral triangle with its
side 5 cm.
Construct the altitude line of
ABC triangle below!
3 x 40’
3x 40’
2 x 40’
LCD Projector
Environment
Protractor
Compass
Ruler
Internet
Students
Worksheet
Mathematics
Text book for 2nd
semester grade 7
that published by
Erlangga
Characters to be expected:
Social Skills:
 Work Together
 Admire friend’s opinion
 Asking and giving idea
 Responsibility
 Precision/ carefully
Banuayu, January 2013
Acknowledged by,
Headmaster of Lematang Lestari Junior High School Mathematics Teacher,
MUGIARSIH, S. Pd., M. M. Edi Susanto, S. Pd.
NIY.YP.12.01.044 NIY.YP.12.01.058
Acknowledged by Supervisor,
Dra. RUMINARSIH, M. M.
NIP. 195702211985032003

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Sillaby for 7 grade 2 nd

  • 1. SILLABY School : LEMATANG LESTARI JUNIOR HIGH SCHOOL Class : VII Subject : Mathematics Semester : Even Competent Standard: Algebra 4. To use the concepts of sets and Venn diagram in problem solving. Basic Competence Topic Learning Activities Indicators Assessment Time Allocation Learning Source Technique Instrument Task Instrument Example 4.1 To understand the definition and notation of sets and how to represent it. SETS The students discuss about the definition of sets by stating the daily problem in sets form. The Students also mention the elements of sets and distinguish which one the elements of sets or elements of sets. The Students state the set notation. PRODUCT 1. To identify the collections is a set or not. 2. To mention the element and number of element of the set. 3. To represent a set . Written Test Written Test Written Test Check Box Table List Essay Give the check box sign of the following sets. 1. Collection of the rubbish in your school. Fill the table in the following. Sets Elements Collection of plant Collection of mammals State the sets in the following by using list . P is set of the even number less than 10 3 x 40’ LCD Projector Environment Internet Students Worksheet. Mathematics Text book for 2nd semester grade 7 that published by Erlangga
  • 2. SILLABY Basic Competence Topic Learning Activities Indicators Assessment Time Allocation Learning Source Technique Instrument Task Instrument Example 4.1 To understand the definition and notation of sets and how to represent it. SETS The students discuss about the empty sets and its notation. The students discuss about the universal sets.  PRODUCT 4.To identify the empty sets. 5.To identify the universal sets . CHARACTER: The Students show good character behavior such as: carefully, honest ,responsibility, work together, and admire friend’s opinion. Written Test Written Test Check Box Essay Give the check box sign of the following sets. a. M = { the even prime number} b. Q = { the odd number less than 0} Find the 2 universal sets of these sets. a. B = {2, 4, 6, 8} b. D = { 1,4,9,25} 3 x 40’ LCD Projector Environment Internet Students Worksheet. Mathematics Text book for 2nd semester grade 7 that published by Erlangga
  • 3. 4.2To understand the concept of subsets. SUBSETS The Students determine the subsets from sets. The students also find out the number of subsets from the sets. 6.To determine the subsets from set. 7.To find out the number of subsets from the sets. Written Test Written Test Essay Essay Determine the subsets relationship between the sets below. A = { 2,3,4,5} B = { a, i, u, e } Determine the number of Q subsets if let: a. Q = {} b. n(Q) = 4 3 x 40’ 3 x 40’ LCD Projector Environment Internet Students Worksheet. Mathematics Text book for 2nd semester grade 7 that published by Erlangga
  • 4. SILLABY School : LEMATANG LESTARI JUNIOR HIGH SCHOOL Class : VII Subject : Mathematics Semester : Even Competent Standard: Algebra 4. To use the concepts of sets and Venn diagram in problem solving. Basic Competence Topic Learning Activities Indicators Assessment Time Allocation Learning Source Technique Instrument Task Instrument Example 4.3 To do operation on sets intersection, union, difference, and complement. SETS INTER SECTION, UNION, DIFFEREN CE AND COMPLE MENT The students discuss about the definition of sets intersection and union. The students also discuss about the difference and complement of sets.  PRODUCT 8.To explain the definition of sets intersection and union. 9.To explain the difference of sets. 10. To explain the complement of a sets. Written Test Written Test Written Test Essay Essay Essay Find P by mention its elements, then determine n (P for P and Qset below. a. P = {x| b. Q = x| Let S = { whole number less than 15} A = {x| B = {x| a. AC b. BA 3 x 40’ 3 x 40’ 3 x 40’ LCD Projector Environment Internet Students Worksheet. Mathematics Text book for 2nd semester grade 7 that published by Erlangga
  • 5. SILLABY School : LEMATANG LESTARI JUNIOR HIGH SCHOOL Class : VII Subject : Mathematics Semester : Even Competent Standard: Algebra 4. To use the concepts of sets and Venn diagram in problem solving. Basic Competence Topic Learning Activities Indicators Assessment Time Allocation Learning Source Technique Instrument Task Instrument Example 4.4 To represent the sets using Venn Diagram. Venn Diagram The studentsdiscuss how to represent the union/ intersection of sets using Venn Diagram. The students also discuss howto represent the difference and complement of sets.  PRODUCT 11. To represent the union/ intersection of sets using Venn Diagram. 12. To represent the difference of sets using Venn Diagram. 13. To represent the complement of sets using Venn Diagram. Written Test Written Test Written Test Essay Essay Essay Let S = {whole number less than 15}, P = {x| , Q = x| . Represent the sets in the following by list. Then, show the shaded area on Venn Diagram if: a. P b. P c. PQ d. P 3 x 40’ 3 x 40’ LCD Projector Environment Internet Students Worksheet. Mathematics Text book for 2nd semester grade 7 that published by Erlangga
  • 6. SILLABY School : LEMATANG LESTARI JUNIOR HIGH SCHOOL Class : VII Subject : Mathematics Semester : Even Competent Standard: Algebra 4. To use the concepts of sets and Venn diagram in problem solving. Basic Competence Topic Learning Activities Indicators Assessment Time Allocation Learning Source Technique Instrument Task Instrument Example 4.5 To apply the concept of sets to solve mathematical problem. Applying the concept of sets. The studentsdiscuss how to solve the mathematical problem which related to sets concept.  PRODUCT 14. To solve the daily problem by using Venn Diagram and concept of sets. Written Test Essay In a class there are 48 students. They choose two kind of sport that they like it. In fact, there are 29 students who like playing basketball, 27 students who like playing volley ball and 6 students don’t like both of them. a. Represent it into Venn Diagram. b. Determine the number of student who like playing basket ball and volley ball. 6 x 40’ LCD Projector Environment Internet Students Worksheet. Mathematics Text book for 2nd semester grade 7 that published by Erlangga
  • 7. SILLABY School : LEMATANG LESTARI JUNIOR HIGH SCHOOL Class : VII Subject : Mathematics Semester : Even Competent Standard: Algebra 5. To understand the relation of line with line, line with angle, angle with angle and to determine the measure. Basic Competence Topic Learning Activities Indicators Assessment Time Allocation Learning Source Technique Instrument Task Instrument Example 5.1 To find the relationship between two lines, the measure and type of angles. LINES ANGLES The students discuss about the position of two lines. The Students also discuss about the unit of angle. The Students measure and draw the angles. The students also discuss about the different of types of angles.  PRODUCT 1. To explain the position of two lines ( parallel, superimpose, intersection and skew). 2. To know the unit of angle. 3. To measure and draw the angle by using the protractor. 4. To explain the different of types of angles ( Right, Acute, Straight, Obtuse and reflection angles). Written Test Written Test Written Test Written Test Essay Essay Essay Essay Consider the Pictures. Find out the Parallel, superimpose, intersection and skew line. Find the sum of angle: 50 24’ 14 “ + 20 15’ 22” Measure the size of angle below using a protractor Classify the types of angle below. a. 680 b. 1760 1 x 40’ 2 x 40’ 2 x 40’ LCD Projector Environment Internet Students Worksheet. Protractor Compass Mathematics Text book for 2nd semester grade 7 that published by Erlangga
  • 8. SILLABY Class : VII Subject : Mathematics Semester : Even Competent Standard: Algebra 5. To understand the relation of line with line, line with angle, angle with angle and to determine the measure. Basic Competence Topic Learning Activities Indicators Assessment Time Allocation Learning Source Technique Instrument Task Instrument Example 5.1 To find the relationship between two lines, the measure and type of angles. UNIT OF ANGLES SUPLEM ENTARY COMPLE MENTAR Y The students discuss about the measurement of angle (degrees,minute and secon). The Students discuss about suplementary angles The students discuss about the complementary of angles.  PRODUCT 5. To calculate mesurement of angle in degrees,minute and secon unit. 6. To find out the suplementary angles. 7. To find out complementary angles. Written Test Written Test Written Test Essay Essay Essay 500 44’56’’ + 50 13’34” 560 45’32” – 430 12’46” Find the suplementray of : a. 140 b. 780 c. 1230 Find the complementary of: a. 340 b. 450 c. 760 3 x 40’ 2 x 40’ 2 x 40’ LCD Projector Environment Internet Students Worksheet. Protractor Compass Mathematics Text book for 2nd semester grade 7 that published by Erlangga
  • 9. SILLABY School : LEMATANG LESTARI JUNIOR HIGH SCHOOL Class : VII Subject : Mathematics Semester : Even Competent Standard: Algebra 5. To understand the relation of line with line, line with angle, angle with angle and to determine the measure. Basic Competence Topic Learning Activities Indicators Assessment Time Allocation Learning Source Technique Instrument Task Instrument Example 5.2 To understand the properties of angle as the result of the intersection of two lines or two parallel lines with a third line (transversal line). THE RELATION BETWEEN LINE AND ANGLE The students discuss about the properties of angle as the result of the intersection of two lines. The Students also discuss to solve mathematical problems.  PRODUCT 8. To find the properties of angle as the result of the intersection of two lines or two parallel lines with a third line. 9. To use the properties of angle and lines to solve mathematical problem. Written Test Written Test Essay Essay p q a b r s c d Based on the picture above, determine the relationship between the following angles: a. p and q b. p and r c. q and a d. q and c (2x + 10)0 (5x-5)0 Based on the picture above, find the size of 3 x 40’ 6 x 40’ LCD Projector Environment Internet Students Worksheet. Protractor Compass Mathematics Text book for 2nd semester grade 7 that published by Erlangga
  • 10. SILLABY School : LEMATANG LESTARI JUNIOR HIGH SCHOOL Class : VII Subject : Mathematics Semester : Even Competent Standard: Algebra 5. To understand the relation of line with line, line with angle, angle with angle and to determine the measure. Basic Competence Topic Learning Activities Indicators Assessment Time Allocation Learning Source Technique Instrument Task Instrument Example 5.3 To construct angles. 5.4 To divide angles. CONSTRUCT ANGLES DIVIDE ANGLES The students construct the angle by using the protractor and compass. The Students divide an angle into equal parts.  DRAWING SKILL 10. To construct a 600 , 900 , 300 , 450 , 1200 and 1500 . 11. To divide an angle into two equal parts. Skill Test Skill Test Drawing Direction Drawing Direction Bu using a protractor, construct these angles: a. 600 b. 900 c. 1200 d. 1500 . By using a protractor, duplicate these angles: 3 x 40’ 3 x 40’ LCD Projector Environment Internet Students Worksheet. Protractor Compass Mathematics Text book for 2nd semester grade 7 that published by Erlangga
  • 11. SILLABY School : LEMATANG LESTARI JUNIOR HIGH SCHOOL Class : VII Subject : Mathematics Semester : Even Competent Standard: Geometry 6. To understand the concept of quadrilaterals and triangle and to determine the measure. Basic Competence Topic Learning Activities Indicators Assessment Time Allocation Learning Source Technique Instrument Task Instrument Example 6.1 To identify the properties of triangle in term of its side and angle. TRIANGLE The students discuss about the triangle. They also will classify the type of triangle according its sides and its angle. The Students discuss how find out the amount of angles in triangle is 1800 .  PRODUCT 1. To classify the type of triangle according its sides. 2. To classify the type of triangle according its angles. Written Test Written Test Essay Essay Determine the type of triangles below based on its side length and its angle. a. b. c. 3 x 40’ LCD Projector Environment Internet Students Worksheet. Triangle model Triangle from Styrofoam Color Paper Mathematics Text book for 2nd semester grade 7 that published by Erlangga
  • 12. SILLABY School : LEMATANG LESTARI JUNIOR HIGH SCHOOL Class : VII Subject : Mathematics Semester : Even Competent Standard: Algebra 6. To understand the concept of quadrilaterals and triangle and to determine the measure. Basic Competence Topic Learning Activities Indicators Assessment Time Allocation Learning Source Technique Instrument Task Instrument Example 6.2 To identify the properties of rectangle, square, trapezoid, parallelogram , rhombus and kite. QUADRI LATERAL The students discuss about the definition of rectangle. The students discuss about the definition of square. The students discuss about the definition of trapezoid.  PRODUCT 1. To explain the definition of rectangle. 2. To explain the definition of square. 3. To explain the definition of trapezoid. Written Test Written Test Written Test Essay T/F Essay KLMN is rectangle, so Find out the parallel sides. State True or False these statements: a. Every angle of a square is right angle. b. The size of the diagonal of a square is same. ABCD is right trapezoid with its edge parallel with side AB and side DC. Draw the line m that symmetrical of the trapezoid. 2 x 40’ 1 x 40’ 1 x 40’ LCD Projector Environment Internet Students Worksheet Quadrilateral model Quadrilateral from Styrofoam Color Paper Mathematics Text book for 2nd semester grade 7 that published by Erlangga
  • 13. SILLABY School : LEMATANG LESTARI JUNIOR HIGH SCHOOL Class : VII Subject : Mathematics Semester : Even Competent Standard: Algebra 6. To understand the concept of quadrilaterals and triangle and to determine the measure. Basic Competence Topic Learning Activities Indicators Assessment Time Allocation Learning Source Technique Instrument Task Instrument Example 6.2 To identify the properties of rectangle, square, trapezoid, parallelogram , rhombus and kite. QUADRI LATERAL The students discuss about the definition of parallelogram. The students discuss about the definition of rhombus. The students discuss about the definition of kite.  PRODUCT 4.To explain the definition of parallelogram. 5. To explain the definition of rhombus. 6. To explain the definition of kite. Written Test Written Test Written Test T/F Essay Essay EFGH is a parallelogram, True or false these statements: A . FE// GH B. FD = DG Find the angle which has same size. 2 x 40’ 1 x 40’ 2 x 40’ LCD Projector Environment Internet Students Worksheet Quadrilateral model Quadrilateral from Styrofoam Color Paper Mathematics Text book for 2nd semester grade 7 that published by Erlangga
  • 14. SILLABY School : LEMATANG LESTARI JUNIOR HIGH SCHOOL Class : VII Subject : Mathematics Semester : Even Competent Standard: Algebra 6. To understand the concept of quadrilaterals and triangle and to determine the measure. Basic Competence Topic Learning Activities Indicators Assessment Time Allocation Learning Source Technique Instrument Task Instrument Example 6.3 To determine the perimeter and area of triangle and rectangle and apply them to solve mathematical problems. PERIMETER AND AREA OF TRIANGLE AND QUADRILAT ERAL The students discuss about the perimeter and area of triangle formula. The students discuss about solve mathematical problem. The students discuss about the perimeter and area of rectangle and square formula.  PRODUCT 7.To find out the perimeter and area of triangle formula. 8. To solve mathematical problem by using the perimeter and area of triangle. 9. To find out the perimeter and area of rectangle and square formula. Oral Test Written Test Written Test Question List Essay Essay By using a sheet a paper, do you find out the perimeter and area of triangle? Let the perimeter of triangle is 40 cm. Find the area of the triangle! What the measure of sum corn sides of triangle. 3 x 40’ 3 x 40’ 3 x 40’ LCD Projector Environment Internet Students Worksheet Quadrilateral model Quadrilateral from Styrofoam Color Paper Mathematics Text book for 2nd semester grade 7 that published by Erlangga
  • 15. SILLABY School : LEMATANG LESTARI JUNIOR HIGH SCHOOL Class : VII Subject : Mathematics Semester : Even Competent Standard: Algebra 6. To understand the concept of quadrilaterals and triangle and to determine the measure. Basic Competence Topic Learning Activities Indicators Assessment Time Allocation Learning Source Technique Instrument Task Instrument Example 6.3 To determine the perimeter and area of triangle and rectangle and apply them to solve mathematical problems. PERIMETER AND AREA OF TRIANGLE AND QUADRILAT ERAL The students discuss about the perimeter and area of parallelogram and trapezoid formula. The students solve mathematical problem by using the perimeter and area of parallelogram and trapezoid.  PRODUCT 10.To find out the perimeter and area of parallelogram and trapezoid formula. 11. To solve mathematical problem by using the perimeter and area of parallelogram and trapezoid formula. Oral Test Written Test Question list Essay By using a sheet a paper, do you find out the perimeter and area of parallelogram and trapezoid? A trapezoid has the parallel sides are 6 cm and 12 cm and its height is 7 cm. Determine the area of that trapezoid! What is going on if the area of new parallelogram: a. Its height twice than before; b. Its surface and height twice than before. 1 x 40’ 2 x 40’ LCD Projector Environment Internet Students Worksheet Quadrilateral model Quadrilateral from Styrofoam Color Paper Mathematics Text book for 2nd semester grade 7 that published by Erlangga Tangram
  • 16. SILLABY School : LEMATANG LESTARI JUNIOR HIGH SCHOOL Class : VII Subject : Mathematics Semester : Even Competent Standard: Algebra 6. To understand the concept of quadrilaterals and triangle and to determine the measure. Basic Competence Topic Learning Activities Indicators Assessment Time Allocation Learning Source Technique Instrument Task Instrument Example 6.3 To determine the perimeter and area of triangle and rectangle and apply them to solve mathematical problems. PERIMETER AND AREA OF TRIANGLE AND QUADRILAT ERAL The students discuss about the perimeter and area of rhombus and kite formula. The students solve mathematical problem by using the perimeter and area of rhombus and kite.  PRODUCT 12.To find out the perimeter and area of rhombus and kite formula. 13. To solve mathematical problem by using the perimeter and area of rhombus and kite formula. Oral Test Written Test Question List Essay By using a sheet a paper, do you find out the perimeter and area of rhombus and kite? A rhombus has perimeter 52 m. Calculate the surface area of the rhombus. A kite has the size 9 cm and 12 cm. Calculate the perimeter of that kite! 1 x 40’ 2 x 40’ LCD Projector Environment Internet Students Worksheet Quadrilateral model Quadrilateral from Styrofoam Color Paper Mathematics Text book for 2nd semester grade 7 that published by Erlangga
  • 17. SILLABY School : LEMATANG LESTARI JUNIOR HIGH SCHOOL Class : VII Subject : Mathematics Semester : Even Competent Standard: Algebra 6. To understand the concept of quadrilaterals and triangle and to determine the measure. Basic Competence Topic Learning Activities Indicators Assessment Time Allocation Learning Source Technique Instrument Task Instrument Example 6.4 To construct triangle, altitude line, interior angle bisector line, median line, and perpendicular bisector line. CONSTRUCT TRIANGLE The students construct the triangle if let its sides, two sides and one angle or one sides and two angles. The students construct the isosceles and equilateral triangle. The students construct the altitude line, interior angle bisector line, median line.  Drawing Skill 14.To construct the triangle if let its sides, two sides and one angle or one sides and two angles.. 15.To construct the isosceles and equilateral triangle. 16. To construct the altitude line, interior angle bisector line, median line. Skill Test Skill Test Skill Test Direction Tools Direction Tools Direction Tools Construct the PQR is right triangle in Q with PQ = 6 cm and QR = 8 cm. Construct the XYZ is equilateral triangle with its side 5 cm. Construct the altitude line of ABC triangle below! 3 x 40’ 3x 40’ 2 x 40’ LCD Projector Environment Protractor Compass Ruler Internet Students Worksheet Mathematics Text book for 2nd semester grade 7 that published by Erlangga
  • 18. Characters to be expected: Social Skills:  Work Together  Admire friend’s opinion  Asking and giving idea  Responsibility  Precision/ carefully Banuayu, January 2013 Acknowledged by, Headmaster of Lematang Lestari Junior High School Mathematics Teacher, MUGIARSIH, S. Pd., M. M. Edi Susanto, S. Pd. NIY.YP.12.01.044 NIY.YP.12.01.058 Acknowledged by Supervisor, Dra. RUMINARSIH, M. M. NIP. 195702211985032003