Name : Ayanah Septianita

Semester/Class : 5/A1

NPM : 11.84.202.007

Tugas UTS : Matematika Level IGCSE

My impressions are:In the course of the study IGCSE maths using English I get a lot

of knowledge and can understand math words in the English language , how someday I can teach mathematics in English , although not all of them. I understand ...

I do not understand why because this course should be able to use English .. when persentasi in class debriefing should use

English every week .But I can understand if there are words that I never learned

and find meaning in Indonesian dictionaries translate through .

The hope :IGCSE maths should be further enhanced UAS learning until

later , because this lesson is very useful for our students in the future in teaching .

In this course I hope during school hours had begun , faculty and students should be active in the English language instead of using Indonesian , because in this case the

lecturers and students learn the English language fluency ,and I hope also to get the best value in the eyes of this college

..

LESSON PLAN

Education Unit: Junior High School (SMP)

Subjects: Mathematics

Class / Semester: VII / 1

Time Allocation: 2 x 40 minutes ( 1 meeting )

Topic: Algebra

Submateri Principal: Algebra Shape

A.Competency Standards

Understanding the algebra

B.Basic Competency

Perform operations on the algebra .

C. Indicator

a. Perform arithmetic operations on the algebra sum .

b. Perform arithmetic operations on the algebra reduction .

c. Perform arithmetic operations on the algebra multiplication .

d. Perform arithmetic operations division in algebraic form .

e. Perform arithmetic operations on the algebra reappointment .

D.Learning Objectives

After learning , expected

a. Students can perform arithmetic operations on the algebra sum .

b. Students can perform arithmetic operations on the algebra reduction .

c. Students can perform arithmetic operations on the algebra multiplication

d. Students can perform arithmetic operations on the algebra division.

e. Students can perform arithmetic operations on the algebra reappointment .

Character of students who are expected to :

1. Discipline

2. Respect and Attention

3. Diligence

4. Responsibility

E. Teaching Materials

1. Apperception

Before discussing the arithmetic operation on the algebra should first

understand the multiplication rate constants and a lot of numbers in a variable

substitution from many tribes. For more details see the following example:

a. 2(a+3)=2a+6→ distributive properties

b. −( x−3 )=−x+3

c. 3m(x+2 y+3)=3mx+6my+9m

If the algebraic form 3 x+5 y, the variable x is replaced by 2 and the variable y

is replaced by 4 then obtained:

3 x+5 y=3(2)+5(4)

¿6+20

The process of replacing a variable with a number called the substitution

process.

2. The Core Material

Also known in the form of algebraic arithmetic operations such as addition,

subtraction, multiplication, division and reappointment. To more details will be

outlined as follows:

a. Algebra Forms

Forms 5 x+2 y+3 z ,2 x2 ,4 xy2 ,5 x2−1 , and (x−1)(x+3) is called the algebra .

The terms contained in the algebra is as follows.

1) Variables

A variable is asymbol substitutes a number of unknown value clearly.

Variables are usually denoted by the letters a ,b , c , ..., z .

Example :

Variables of 5 x+2 y is x and y

Variables of 2 x2+4 x−12 is x

2) Constants

 Is the rate constant of a form of algebra in the form of numbers and no load

variable .

Example :

Constants that exist in 2 x2+3 xy−8is−8

Constants that exist in 3−4 x2−x is 3

3) Coefficient

Coefficients in the algebra is the number of variables inherent with a tribe in

the form of algebra .

Example :

Coefficient of x that of the 5 x+3 y2 x is 3

Coefficient of x that of the 2 x2+6 x−3 is 6

4) Rate

Rate is variable and its coefficients or constants in the form of algebraic

operations are separated olrh sum or difference signal .

One tribe is a form of algebra that are not connected by the number sign or

difference operations .

E xample :

3 x , 4a2−2ab

Is the algebra of two parts connected by a token amount or increment

operation.

e xample :

a2+3 , x+2 y ,3 x2−5 x

Is the algebra of three parts which are connected by two operations sum or

difference signal .

E xample :

3 x2+4 x−5 ,2 x+2 y−xy .

Algebraic forms that have more than two tribes called many tribes or polinim.

b. Summation Algebra and Reduction

Properties of addition and subtraction on integers also apply to the algebra

but addition and subtraction operations on ajabar form can only be done on similar

a (b+c)=ab+aca (b−c)=ab−ac

tribes alone. Operations of addition and subtraction in the algebra can be solved using

the distributive properties.

Example:

1) 3 x+5x= (3+5 ) x=8 x

2) 5a−3a−2a+4 a=(5−3−2+4 )a=4a

3) 7a+5b+a−2b=7 a+a+5b−2b

¿ (7+1 )a+ (5−2 )b

¿8a+3b

Addition operation on the algebra above can not be done because the tribes

are not similar, is 5 x ,3 y, and 6were not similar.

Subtract the following algebraic form.

a) 8 x−4 y from 5 x−7 y

b) 6 x2+5x+2 from 7 x2+2x−3

Completion:

a) 5 x−7 y−( 8x−4 y )=5x−7 y−8 x+4 y

¿−3 x−3 y

b) 7 x2+2x−3−(6 x2+5 x+2 )=7 x2+2x−3−6 x2−5 x−2

¿ x2−3 x−5

What if the algebraic sum operation occurs in fractions?

Operating principle is the same as the sum of fractions, followed just a

matter of form variables aljabar.Contoh:

Determine the results in a simple form:

a)2x+ 5x=2+5

x=7x

b)5

2a+ 3

4 a= 10

4 a+ 3

4a= 13

4 a

c)8x−5x=8−5

x=3x

d)4

3x− 5

7 x= 28

21 x− 15

21 x= 13

21 x

Simplify the following form.

a) ( x−5 y+2 z )+ (−10x+3 y−10 z )

b) (2 x2+5 x+3 )−(x2+ x−3 )

Completion :

c. Similar Multiplication and Division Rate and are

Similar

After studying the concept of multiplication and division of whole numbers

also apply this concept to define multiplication and division algebra form tribes.

Example:

1. a.a×a=a2 c.a9: a6=a9−6=a3

b. a3×a5=a3+5=a8 d.12a3b2 :4 a3b2=3

2. a. 4 a×2b=(4×2 )×a×b=8 ab c.18a3 :6a2=186

(a3−2 )=3a

b.3a3b×5 ab2=15a4b3 d.14 x2 y5:7 x2 y 4=2 y

The same thing also berlakuu ntuk perkalianpecahan algebraic operations. Pay

attention to the following example:

a)2a5×b3=2a×b

5×3=2ab

15

b)3

2a×

2b5

=3×2b2a×5

= 6b10a

c)2 p−3

3q×pq4

=(2 p−3 ) pq

3q×4=2 p× p×q

(3×4 )q−3× p×q

12q

¿ 2 p2q12q

−3 pq12q

=2 p2−3 p12

ax ( x+b )=axx+axb¿a x2+axb

ax×a y=ax+ ydan ax : ay=ax− y

For dalampecahan division operation can be solved by multiplying the

fractional inverse. For example, the reverse 3

5a or

5a3

. Example question:

a)2

3a:

34 b

= 23a×

4b3

=8b9a

b)p2

q:

3 p4q2=

p2

q×

4q2

3 p=4 p2q2

3 pq= 4 pq

3

c)9+6 x

5 x:3x2

=9+6 x5x

×2

5 x=

( 9+6 x )225x2

=18+12x

25 x2

d. Similar Reappointment of Interest

The concept of integer powers have been studied in previous chapters apply

to determine the powers of the tribes of the algebra, namely:

Example question:

The rank of the algebra of the following:

a. (x3 )2 c. ( xy )5

b. (3 p2 )3 d. { (3 p3q2 )3}2

Completion:

a. (x3 )2=x3×2=x6

b. (3 p2 )3=33× p2× 3=27 p6

c. ( xy )5=x5× y5

d. { (3 p3q2 )3}2=( 33× p3×3×q2× 3 )2

¿33× 2× p9× 2×q6× 2

¿36× p18×q12

¿729 p18q12

Fractional powers of algebra to the same concept as integer powers. Pay

attention to the following example:

a3=a×a×a

a) ( 5x )

2

=52

x2 =25x2

b) ( 2axy )

3

=(2a )3

( xy )3= 23a3

x3 y3 =8a3

x3 y3

c) ( 3a4 a2b )

3

=(3a )3

( 4a2b )3=27a3

64 a6b3

F. Learning Method

1. Expository used when explaining sub subject matter as well as square and cube

roots and cube roots of integers.

2. Debriefing was made during a routine task that is at the beginning of learning

activities, conducting apersepsi and at the end of the learning activity.

3. Work assignments carried out during the exercises and giving chores.

G.Learning Activities

NoTeaching and Learning

Activities

Time

Allocation

Metho

d

Org

Cla Ind

1.

2.

1 meeting

Preliminary

a. Teachers perform routine

activities at the beginning of

the learning greetings,

praying, and attendance

students.

b. Teachers apersepsi activities.

Teacher gives apperception

on the algebra apada

previous material.

(Elaboration)

Core Activities

5 mnt

3 mnt

Org

Le

√

√

3.

a. Teacher explains about

arithmetic operations on the

algebra (Exploration)

b. Teacher gives students a

chance to ask.

(Confirmation)

c. Students are directed to

work on practice exercises in

pairs.(Elaboration)

d. Students gives the

opportunity to present

answers that have been done

in front of the class.

(Confirmation)

Cover

a. Teachers lead students to

conclude that the material

has been given.

(Elaboration)

b. Teachers give homework.

c. Teachers perform routine

tasks at the end of the

lesson.

25 mnt

1 mnt

15 mnt

15 mnt

2 mnt

2 mnt

3 mnt

Le

Le

Org

Cla

Le

Dis

√

√

√

√

√

√

Description:

Le : Lecture Ex: Expository GT: Giving Task

Dis : Discussion Min: Minutes Sec : Seconds

Org: Organizing Cla: Classical Ind: Individual

H.Learning Tools and Resources

Sources:

Books, namely books Mathematics Class VIII Smt 1.

Another reference book.

Tools:

o Laptop

I. Appraisal

Technique:

The written test

Forms Instruments: A brief description

Instruments questions

Procedure

Assessment in the learning process.

Assessment at the end of the lesson.

J. Assessment Tool

The form of questions and answers

Written:

1. Complete the following algebraic operations:

a. −10 x−2 x+3

b. 7a−5b+10a+15b

c. 16q−5 t+6q+8 t

2. Describe the following algebraic form of 5 (a+2b )+3 (3 a−4b )

3. Simplify:

a. 5×3×a×b

b. 3×m×4×n×m

c. 5×a2× (−2b )× (−a )

d. (−3ab3 )× (−3a4b2 )

4. Simplify the distribution of

1. Completion and Scoring tables

No Completion Scores

1. a.6×a=6 a

b.a×a×a×a×a×a×a=a7

c.5 p=p+ p+ p+ p+ p

2

2

2

Subtotal 6

2 Determine the magnitude of the coefficient of ywith the

following algebraic forms.

a. 5 x2+6 y−7

b. 3 x2−4 py+2 y2

Completion:

a. Coefficient y from 5 x2+6 y−7 is 6

b. Coefficient y from 3 x2−4 py+2 y2 is −4 p

7

7

Subtotal 14

3. Define similar tribes from the following algebraic forms.

a. 3m+2n−5m+12

b. 4 x−2xy+3 y−x+3xy

Completion :

a. Similar tribes in 3m+2n−5m+12 is 3m and −5m.

b. Similar tribes in 4 x−2xy+3 y−x+3xy adalah:

(1) 4 x dan – x

(2)−2 xy dan 3 xy

6

6

Subtotal 12

4. Determine the number of terms in the following algebraic

forms.

a. 3 x−2

b. 3 x2+2x−1

c. y2−2 y2+3 y−5

Completion :

a. The number ot terms in 3 x−2 is 2, from 3 x and −2

b. The number ot terms in 3 x2+2x−1 is 3, from 3 x2,2 x

, and −1.

c. The number ot terms in y3−2 y2+3 y−5 is 4,yaitu

y3 ,−2 y2 ,3 y ,and −5

6

6

6

Subtotal score 18

Total Score 50

J. Character Assesment

No NameCharacter

Curiosity Honest Diligent Discipline Confidence Independent

1.

2.

3.

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

Character columns filled with scores corresponding to the level of the

character of the child.

Very Good = 4

Good = 3

Moderate = 2

Less = 1