Squaring a 2-digit number ending in 5 without Calculator

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Actually, I know this trick when I was in Secondary school. I was tought by my Physics teacher, but I have no idea to share it, and now I will share U the trick.
Hope it’ll give benefit to you…

  1. Choose a 2-digit number ending in 5.
  2. Multiply the first digit by the next consecutive number.
  3. The product is the first two digits: XX _ _.
  4. The last part of the answer is always 25: _ _ 2 5.

   Example:

  1. If the number is 35, 3 × 4 = 12 (first digit times next number). 1 2 _ _
  2. The last part of the answer is always 25: _ _ 2 5.
  3. So 35 × 35 = 1225.

   See the pattern?

  1. For 65 × 65, 6 × 7 = 42 (first digit times next number): 4 2 _ _.
  2. The last part of the answer is always 25: _ _ 2 5.
  3. So 65 × 65 = 4225.

Squaring a 2-digit number beginning with 1 without Calculator and Memorizing

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  1. Take a 2-digit number beginning with 1.
  2. Square the second digit (keep the carry)   _ _ X
  3. Multiply the second digit by 2 and add the carry (keep the carry)   _ X _
  4. The first digit is one (plus the carry)   X _ _

Example:

  1. If the number is 16, square the second digit: 6 × 6 = 36   _ _ 6
  2. Multiply the second digit by 2 and add the carry: 2 × 6 + 3 = 15   _ 5 _
  3. The first digit is one plus the carry: 1 + 1 = 2   2 _ _
  4. So 16 × 16 = 256.

See the pattern?

  1. For 19 × 19, square the second digit: 9 × 9 = 81   _ _ 1
  2. Multiply the second digit by 2 and add the carry: 2 × 9 + 8 = 26   _ 6 _
  3. The first digit is one plus the carry: 1 + 2 = 3   3 _ _
  4. So 19 × 19 = 361.

Find the formula of circle’s circumference and area

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A circle is a simple shape of Euclidean geometry consisting of those points in a plane that are equidistant from a given point, the centre. The distance between any of the points and the centre is called the radius.

Circles are simple closed curves which divide the plane into two regions: an interior and an exterior. In everyday use, the term “circle” may be used interchangeably to refer to either the boundary of the figure, or to the whole figure including its interior; in strict technical usage, the circle is the former and the latter is called a disk.

A circle can be defined as the curve traced out by a point that moves so that its distance from a given point is constant.

A circle may also be defined as a special ellipse in which the two foci are coincident and the eccentricity is 0. Circles are conic sections attained when a right circular cone is intersected by a plane perpendicular to the axis of the cone.
(Sumber: Wikipedia, 2012)

So, what is the formula of circle’s circumference and area?

Let’s check this video…

Finding Center Point of a Circle ONLY Using Compass

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Night everybody. I just wanna share something that I hope its give you any benefit after you read it. Well, in sixth semester past, we were asked to present any paper about Mathematics in lecture named Colocium. So, I decided to present the paper by the title “Finding Center Point of a Circle ONLY using Compass”, the topic in this papers is Geometric Contruction. If you feel curious about it, please  klick-here.

The video about construction process will be uploaded next time.

*Wise person never claim the people’s made as her/his own.

The Role of Science Education

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Science education perform these roles as revealed by Oemar Hamalik:
1. The role of specialization, which provides materials science and device knowledge required controlled by each candidate, the teacher. Materials provided include theories, concepts, generalizations, principles, and strategies. The material is in turn presented the teaching-learning process in teacher education institutions, the prospective teachers are prepared to teach in elementary school or a school where he will be in charge.
2. The role of professionalization, which is a tool within the framework of the delivery system should be mastered by every prospective teachers in general, teachers in particular, and science education as well as a dual role, ie, as something that is to be delivered and the delivery system with a range of alternative options.
3. The role of personalization, which is shaping the personality of the teacher as a good citizen and as a member of a good profession. The role of the good based on the normative aspqk owned by science education itself.
4. Social role, which provides the possibility for teachers to provide his services to the community in the field of science education. In this respect, devotion intended as an effort to contribute to improved quality of life.

The four roles are essentially running together at once, each related to one another. Mastery specialization of science education as well as provide guidance on professional skills required in order to delivery to prospective teachers. Delivery system would be effective if the teacher has been pervading science education, when science has become pmdidikan own flesh and blood, even as the core values ​​form the personality.

On the other hand, science has value and should provide certain benefits to perbaikani society in the broadest sense. Thus, the application of a role can be interpreted as an imbalance and will reduce the significance of science education as a whole. There are also four basic functions of education, namely;
1. Individual Development
2. Development of ways of thinking and techniques to investigate
3. The transfer of cultural heritage
4. Fulfilling a vital social need.

Purpose of Education
The purpose of education plays an important role in education, because the goals will provide direction for all educational activities. In the preparation of a curriculum, the formulation of the objectives set before setting the other components. The purpose of education of a country can not be separated and the elaboration of the objectives of the state or the philosophy of the state. This is because education is a means to an end state, which forms the whole person under the provisions of the Constitution of ’45, which is sourced from the Pancasila as the Indonesian nation’s philosophy of life.

Nana Sudjana (1979) explains that, based on the study, the purpose of education may, grouped into three types, namely:
1. longterm objectives aims,
2. intermediate objectives,
3. destination immediately (immediate objectives, specific objectives).

The purpose of education according to its level is divided into a number of purposes, from the purpose of a general nature to the purpose of a specific nature. The goals that are special purpose Institutional and Curricular goal is the goal in order to achieve a more general purpose. While both TIU Instructional goal and ICT, is the immediate goal is achieved from a meeting.

The purpose of National Education
Sourced from Pancasila and the Constitution of ’45, formulated by the government as a guideline for the development of educational goals more specific.

The purpose Institutions (Institutional) He is the goals that must be carried out and achieved by any educational institution. This means that qualifications or abilities students should have after they complete their studies at the institution. Usually divided into institutional goals umurn goals and objectives. Instructional objective is a goal that most low level, because that directly relate to their students. Instructional objectives with respect to the objectives of each perternuan. That is, kemarnpuan-skills expected of students after completing his learning experience a meeting. Instructional objectives are distinguished into two types, namely general instructional objectives (TIU) and specific instructional objectives (ICT). Differences TIU and ICT lies in its formulation. TIU formulated in words and behavior of a general nature, while ICT use words and behavior that is specific, meaning that it can be measured after the lesson was over.

Fill Formulation goal in Education
Fill formulated objectives in education should be comprehensive. This means that it contains aspects of knowledge, attitudes, and skills. These three aspects must be contained either in a general purpose tnaupun goals specific. Our education is still received by Prof. taxonomic purposes. Dr. Benjamin Bloom, Bloom’s taxonomy terms goals. Men According to Bloom, human behavior is categorized into three domains (dimension, domain or pembidangan), namely: a. Sphere (dimension) consisting of cognitive knowledge, comprehension, application, analysis, synthesis, and evaluation.
b. Sphere (dimension) affective comprising reception, response, organization, evaluation, and given the nature (character).
c. Sphere (dimension) psychomotor through phasing imitation, spekuIasi, prasisi, articulation, and naturalization. The third dimension above in practice can not be separated from each other, but can be differentiated to facilitate theoretical discussion. Logjkanya is that human behavior begins first with knowledge, then-attitude, then do.

Component Program Structure
The next component is nfenetapkan structures and materials. education programs. Structure of the course in relation to the achievement of agency goals. education includes the allocation of time given to each field of study in each week. There are several types of educational programs in the curriculum structure, namely:

a. General Education
Public education is an educational program that aims to nurture students to become good citizens. The nature of public education is mandatory for all students in all educational institutions and degree. Field studies subject areas including education group dalarn umurn eg Religious Education, PMP, Sports-Health, Arts, and Indonesian.

b. Academic Education
Adademik Education is an educational program that aims to achieve the intellectual development that is expected to obtain knowledge of functional qualification according to the demands of their respective disciplines. The goal is to provide supplies to the graduates to continue their studies into higher education institutions. The nature of academic education is permanent and describe the pattern of thinking in their respective disciplines. Field of study that includes academic education groups including Science, Social Studies, Mathematics, and English.

c. Competency Education
Education is a skills training program that aims to acquire certain skills and keteramplan, which required children of his life. in the community. The nature of education is temporary, meaning that at any time can be changed as necessary. Likewise elective nature, meaning that every student. can select the desired skills. For example, skills in services, agriculture, fisheries, workshop.

d. Vocational Education
Vocational education aimed at preparing students. to bear the expertise or certain jobs, according to the type of school which he passes. Vocational education is typically found in vocational schools, not public schools (junior and senior). For example for the SMK.

Use of ICT in Learning Mathematics

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In the fourth semester we took a course “Information and Communications Technology in Education”, one of the courses that discuss how we float and use ICT to support teaching and learning in school education.

In this case we use media java-based learning in the form of software called GeoGebra. Software is certainly very helpful teachers teach the material in math. By providing examples, I hope my friends can understand and have an idea of ​​how to create a lesson plan, or so-called Lesson Plan (RPP), this student activity guide that we use to guide students what they have to do, and Teacher Guide or can be called to guide the implementation process of learning for teachers.

To download these files his friends please click the link below:

1. Lesson Plan
2. Student Activity
3. Teacher Guide

Hopefully helpful!! ^ ^

Orang bijak tak asal copy-paste saja,,,

Distribusi Proporsi

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Untuk mempelajari populasi, kita memerlukan sampel yang diambil dari populasi yang bersangkutan. Nilai setiap statistik sampel akan bervariasi/beragam antar sampel. Suatu statistik dapat dianggap sebagai peubah acak yang besarnya sangat tergantung dari sampel yang kita ambil. Karena statistik sampel adalah peubah acak maka ia mempunyai distribusi yang kita sebut sebagai : Distribusi Peluang Statistik Sampel = Distribusi Sampling = Distribusi Penarikan Sampel….

Disini akan disajikan penjelasan mengenai distribusi proporsi dalam Statistika. Untuk lebih lengkapnya, silahkan teman-teman download disini.

Bijaksanalah dalam ‘mengutip’, karena orang yang cerdas bukan hanya menjiplak tapi juga mengkajinya tanpa mengakui karya oranglain. 🙂