MODUL I Buku Siswa MEMAHAMI BILANGAN PECAHAN DAN JENIS-JENISNYA Untuk Kelas 1 SMP / MTs

MODUL  I

Buku Siswa

MEMAHAMI BILANGAN PECAHAN DAN JENIS-JENISNYA

Untuk Kelas 1 SMP / MTs

By : Marsigit

Reviewed by : Eka Sulistyawati

A.    Basic Competencies and Standards Competency

Standards of competence

Understanding and perform arithmetic number operations in problem solving.
Basic Competence:

Know fractions and perform operations fractions.

B.     Indicators Learning Outcomes

• Obtain various forms and types of simple fractions

• Being able to convert mixed fractions into ordinary fractions.

C.    Understanding the Numbers Fractions and Type Fraction

Issue 1:

I have 1 ¾ apples. How much and how I convert into ordinary fractions? To help solve the problems encountered Mr Mat do the following activities. Prepare a paper, pencil, and ruler.

a.       Draw two circles to show the two Apples.

b.      In each circle. make two diameters it is to show each apple divided by 4

c.       Then cut a circle by diameter in each cycle, to show a quarter of the apples. Place of pieces with each other not far apart.

d.      From the first circle, shading all four parts of the intersection to show an apple. From the second circle, shading 3 parts intersection to show ¾ parts of apple.

e.       Then compute the number of intersections in the shading. Apparently the number is ...... the fruit. So mixture fraction 1 ¾ can be expressed as ordinary fractions ........?.

Issue 2:

In everyday life, have you ever seen the objects which has been divided into several equal parts? For example:

a.       A birthday cake is divided into three equal parts,

b.      The paper is folded and then cut into two equal parts,

c.       orange divided into several equal parts,

d.      inches on the ruler scale is divided into ten millimeter scale.

All the same section was associated with fractions. Aziz has an apple, and apple
was initially divided into two same parts. One part apple from two same parts. The same was called "one half" or "Half" or "a half" and written " ½ ". Both path are each divided into two again so we get four equal parts. An orange part of the same four parts that called "one-four" or "quarter" and written ¼ . Numbers ½ and ¼ is called fractions. Subsequently agreed upon as "fractions" is abbreviated by "Fractions". In the fraction ½ , 1 is called the numerator and 2 is called the denominator. In fractions ¼ , 1 is called the numerator and 4 is called the denominator.

Issue 3:

Write 9/36 in its simplest form. FPB (Least Common Divison) of 9 and 36 is 9. Divide the numerator and denominator by 9. So the simplest form of fractiona 9/36 is ......?.

Issue 4:

A farmer who has two fields, the rice harvest each 1 ½  quintal of the first swath and 1 ¼ quintal of second swath. So, numbers 1 ½ and 1 ¼ is called mixture fraction or a mixture numbers. Discuss whether the value of mixture fraction is the sum of natural numbers and the broke numbers the mold. Complete, 1 1/5 = 1 + ...............; and 1 ½ = 1 + .........

D.    What is your conclusion?

Do you think that the fractional 1/3, 2/6 , 3/9 and 6/18 is equivalent fractions, where 1/3 is a fraction with a the simplest form. Do you argue that the simplest form of this (simple fraction) is obtained if the Least Common Division (FPB) from the numerator and the denominator is 1.