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# Math Working Model

There are various concepts in the field of mathematics and they can be used to generate models.
These models can be termed as mathematical models. There can be different types of models ranging from the quadratic equation concept to exponential series.
Working models help in solving the problems. Differential equations can be an example of mathematical modelling system.
Mathematical models can be various fields of mathematics and science.
There are subjects like physics, chemistry or biology or even metrology where this finds application.

Every model is designed with a purpose.
They can be used to study the behavior of various components present in the system and also used in the prediction of the behavior of the system. There are also various competitions designed in the field of mathematics keeping in view to explore newer talents.

They are known as Olympiads and are also for the students of the ninth grade.
The 9 class Math working models are considered to be less complex compared to the real time working models used in the field of science and technology.
They can deal with various concepts and the language of Mathematics.
These are heavily used in the field of operations research and also in the field of Statistics.

Statistics will be interesting for the people who have a desire for number crunching; otherwise it is kind of boring.
People who do not have a penchant for numbers cannot excel in the field of statistics.
Operations research can also be used to generate lot of models.
Operations research can be used to generate models for optimization of costs or variables which are related to business.

Mathematical models usually are placed in two categories.
This classification is based on the principle of availability of data.
If no data is available before the development of a model then it is known as the black box model and if some information is available before the development of the model then it is called the white box model.

The concept of black box is used in various fields. There can be various variables used in the development of the models.
Variables are those whose values do not remain constant and changes over time.
The variables can be classified as the decision variable, the variable that acts as the input, and the variable that represents the output and so on. Then there are the random variables as well.

One of the example of the several models that are used in the lower grades in mathematics is the bar model.
Mathematical problems can be solved easily and without much effort when these are used.
Basically a model is created for a problem and the problem is analyzed.
This makes the analysis and the process of arriving at the solution gets simplified.
The solution obtained could easily be verified as well.
This is one of the major advantages and time can also be saved.
Time is a major resource and has to be used efficiently.

The 9 class math working models can be helpful in solving the problems based on the needs of the 9th grade students.
The field of geometry can also be explored with the help of these.
There are various theorems that must be learnt in the field of geometry.
Before the use of a theorem this must also be proved.
The proof is obtained with the help of axioms.
The axioms are nothing but the facts that are to be accepted without any proof.
They can come in handy in finding the proof of a theorem.
Once the theorems are proved they can be easily used to solve the problems and obtain the solutions.

From Wikipedia

Working class

Working class (or Lower class, Labouring class) is a term used in the social sciences and in ordinary conversation to describe those employed in lower tier jobs (as measured by skill, education and lower incomes), often extending to those in unemployment or otherwise possessing below-average incomes. Working classes are mainly found in industrializedeconomies and in urban areas of non-industrialized economies.

As with many terms describing social class, working class is defined and used in many different ways. When used non-academically, it typically refers to a section of society dependent on physical labor, especially when compensated with an hourly wage. Its use in academic discourse is contentious, especially following the decline of manual labor in postindustrial societies. Some academics question the usefulness of the concept of a working class.

The term is usually contrasted with the Upper classandMiddle class, in general terms of access to economic resources,education and cultural interests. The cut-off between Working class and Middle class is more specifically where a population spends money primarily as a lifestyle rather than for sustenance (for example, on fashion versus merely nutrition and shelter).

Its usage can alternately be derogatory, or can express a sense of pride in those who self-identify as Working class.

## Definitions

Definitions of social classes reflect a number of sociological perspectives, informed by anthropology, economics, psychology and sociology. The major perspectives historically have been Marxism and Functionalism.. The parameters which define working class depend on the scheme used to define social class. For example, a simple stratum model of class might divide society into a simple hierarchy of lower class, middle class and upper class, with working class not specifically designated. Due to the political interest in the working class, there has been debate over the nature of the working class since the early 19th century. Two broad schools of definitions emerge: those aligned with 20th-century sociological stratum models of class society, and those aligned with the 19th-century historical materialism economic models of the Marxists and anarchists. Key points of commonality amongst various ideas include the idea that there is one working class, even though it may be internally divided. The idea of one single working class should be contrasted with 18th-century conceptions of many laboring classes. Sociologists Dennis Gilbert, James Henslin, William Thompson, Joseph Hickey and Thomas Ayling have brought forth class models in which the working class constitutes roughly one third of the population, with the majority of the population being either working or lower class.

### Marxist definitions

Karl Marx defined the working class or proletariat as individuals who sell their labor power for wages and who do not own the means of production. He argued that they were responsible for creating the wealth of a society. He asserted that the working class physically build bridges, craft furniture, grow food, and nurse children, but do not own land, or factories. A sub-section of the proletariat, the lumpenproletariat (rag-proletariat), are the extremely poor and unemployed, such as day laborers and homeless people.

In The Communist Manifesto, Marx argued that it was the destiny of the working class to displace thecapitalist system, with the dictatorship of the proletariat, abolishing the social relationships underpinning the class system and then developing into a future communist society in which "the free development of each is the condition for the free development of all." In Capital, Marx dissected the ways in which capital can forestall such a revolutionary extension of the Enlightenment. Some issues in Marxist arguments about working class membership have included:

Question:i have to make a working model on algebraic expressions. how to make a WORKING MODEL? help!first tell me what a working model is! the algebraic identity is (a+b)squared = asq+bsq+2ab so pls help!

Answers:take a cardboard....stick a paper on it...write on the left side a+b^2 solving by putting in values.....on the right side rite a^2 +b^2 +2ab....and use matchsticks to represent values....hope u understand???

Question:i am in class 9th, i have to make such model which is best in school.please give some topics name & their explaniation with their simple method to made.