sillaby for 7 grade 2 nd

SILLABYSchool : LEMATANG LESTARI JUNIOR HIGH SCHOOLClass : VIISubject : MathematicsSemester : EvenCompetent Standard: Algebra

4. To use the concepts of sets and Venn diagram in problem solving.Basic

CompetenceTopic Learning Activities Indicators Assessment Time

AllocationLearning 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 ElementsCollection of plantCollection 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 ProjectorEnvironment InternetStudents

Worksheet.Mathematics

Text book for 2nd semester grade 7 that published by Erlangga

SILLABY

Basic Competence

Topic Learning Activities Indicators Assessment Time Allocation

Learning SourceTechnique Instrument

TaskInstrument 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.

6.To determine the

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 ProjectorEnvironment InternetStudents



4.2 To 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.

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’


Worksheet.Mathematics Text book for 2nd semester grade 7 that published by Erlangga

SILLABY

School : LEMATANG LESTARI JUNIOR HIGH SCHOOLClass : VIISubject : MathematicsSemester : EvenCompetent Standard: Algebra





Instrument Example

4.3 To do operation on sets intersection, union, difference, and complement.

SETS INTERSECTION, UNION, DIFFERENCEAND COMPLEMENT

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 ∩Q by mention its elements, then determine n (P ∩Q ¿ for P and Q set below.

a. P = {x| 0<x ≤5 , x∈ A }

b. Q = x| −4 ≤ x<1 , x∈B }

Let S = { whole number less than 15}A = {x| x<8 , x∈S }B = {x| x≥ 5 , x∈S }

a. AC

b. B\A

3 x 40’

3 x 40’

3 x 40’




SILLABY






Instrument Example

4.4 To represent the sets using Venn Diagram.

Venn Diagram

The students discuss how to represent the union/ intersection of sets using Venn Diagram.

The students also discuss how to 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| x<7 , x∈naturalnumbers }, Q = x| x≤ 13 , x∈ prime number }.Represent the sets in the following by list. Then, show the shaded area on Venn Diagram if:a. P ∩Qb. P ∪Qc. P\Qd. P ∩QC

3 x 40’

3 x 40’




SILLABY






Instrument Example

4.5 To apply the concept of sets to solve mathematical problem.

Applying the concept of sets.

The students discuss 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’




SILLABY


5. To understand the relation of line with line, line with angle, angle with angle and to determine the measure.Basic




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’


Worksheet.ProtractorCompassMathematics


SILLABY

Class : VIISubject : MathematicsSemester : EvenCompetent Standard: Algebra





Instrument Example

5.1 To find the relationship between two lines, the measure and type of angles.

UNIT OF ANGLES

SUPLEMENTARY

COMPLEMENTARY

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

50044’56’’ + 5013’34”56045’32” – 43012’46”

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’




SILLABY






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 qb. p and rc. q and ad. q and c

(2x + 10)0

(5x-5)0

Based on the picture above, find the size of ∠ x .

3 x 40’

6 x 40’




SILLABY






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

DrawingDirection

DrawingDirection

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’




SILLABY

School : LEMATANG LESTARI JUNIOR HIGH SCHOOLClass : VIISubject : MathematicsSemester : EvenCompetent Standard: Geometry

6. To understand the concept of quadrilaterals and triangle and to determine the measure.Basic




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 ProjectorEnvironment InternetStudents

Worksheet.Triangle modelTriangle from

StyrofoamColor PaperMathematics


SILLABY






Instrument Example

6.2 To identify the properties of rectangle, square, trapezoid, parallelogram, rhombus and kite.

QUADRILATERAL

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’


WorksheetQuadrilateral

modelQuadrilateral

from StyrofoamColor PaperMathematics


SILLABY






Instrument Example

6.2 To identify the properties of rectangle, square, trapezoid, parallelogram, rhombus and kite.

QUADRILATERAL

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// GHB. FD = DG

Find the angle which has same size.

2 x 40’

1 x 40’

2 x 40’



modelQuadrilateral



SILLABY






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 QUADRILATERAL

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’



modelQuadrilateral



SILLABY






Instrument Example



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’



modelQuadrilateral



Tangram

SILLABY






Instrument Example



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’



modelQuadrilateral



SILLABY



CompetenceTopic Learning

ActivitiesIndicators Assessment Time



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’

3 x 40’

2 x 40’

LCD ProjectorEnvironmentProtractorCompassRuler InternetStudents

WorksheetMathematics


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

sillaby for 7 grade 2 nd

Education