Course Content
Chapter 01 – Operations on Sets
The set operations are performed on two or more sets to obtain a combination of elements as per the operation performed on them. In a set theory, there are three major types of operations performed on sets, such as: Union of sets (∪) The intersection of sets (∩) Difference of sets ( – ) In this lesson we will discuss these operations along with their Venn diagram and will learn to verify the following laws: Commutative, Associative, Distributive, and De-Morgans' law.
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Chapter 02 – Real Numbers
All real numbers follow three main rules: they can be measured, valued, and manipulated. Learn about various types of real numbers, like whole numbers, rational numbers, and irrational numbers, and explore their properties. In this chapter, we will learn about Squares and cubes of real numbers and find their roots.
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Chapter 03 – Number System
The number system or the numeral system is the system of naming or representing numbers. There are different types of number systems in Mathematics like decimal number system, binary number system, octal number system, and hexadecimal number system. In this chapter, we will learn different types and conversion procedures with many number systems.
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Chapter 04 – Financial Arithmetic
Financial mathematics describes the application of mathematics and mathematical modeling to solve financial problems. In this chapter, we will learn about partnership, banking, conversion of currencies, profit/markup, percentage, and income tax.
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Chapter 05 – Polynomials
In algebra, a polynomial equation contains coefficients, exponents, and variables. Learn about forming polynomial equations. In this chapter, we will study the definition and the three restrictions of polynomials, we'll tackle polynomial equations and learn to perform operations on polynomials, and learn to avoid common mistakes.
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Chapter 06 – Factorization, Simultaneous Equations
In algebra, factoring is a technique to simplify an expression by reversing the multiplication process. Simultaneous Equations are a set of two or more algebraic equations that share variables and are solved simultaneously. In this chapter, we will learn about factoring by grouping, review the three steps, explore splitting the middle term, and work examples to practice verification and what simultaneous equations are with examples. Find out how to solve the equations using the methods of elimination, graphing, and substitution.
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Chapter 07 – Fundamentals of Geometry
Geometry is the study of different types of shapes, figures, and sizes. It is important to know and understand some basic concepts. We will learn about some of the most fundamental concepts in geometry, including lines, polygons, and circles.
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Chapter 08 – Practical Geometry
Geometric construction offers the ability to create accurate drawings and models without the use of numbers. In this chapter, we will discover the methods and tools that will aid in solving math problems as well as constructing quadrilaterals and right-angled triangles.
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Chapter 09 – Areas and Volumes
The volume and surface area of a sphere can be calculated when the sphere's radius is given. In this chapter, we will learn about the shape sphere and its radius, and understand how to calculate the volume and surface area of a sphere through some practice problems. Also, we will learn to use and apply Pythagoras' theorem and Herons' formula.
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Chapter 10 – Demonstrative Geometry
Demonstrative geometry is a branch of mathematics that is used to demonstrate the truth of mathematical statements concerning geometric figures. In this chapter, we will learn about theorems on geometry that are proved through logical reasoning.
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Chapter 11 – Trigonometry
Sine and cosine are basic trigonometric functions used to solve the angles and sides of triangles. In this chapter, we will review trigonometry concepts and learn about the mnemonic used for sine, cosine, and tangent functions.
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Chapter 12 – Information Handling
Frequency distribution, in statistics, is a graph or data set organized to show the frequency of occurrence of each possible outcome of a repeatable event observed many times. Measures of central tendency describe how data sets are clustered in a central value. In this chapter, we will learn to construct the frequency distribution table, and learn more about three measures of central tendency, its importance, and various examples.
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Grade 8 – Mathematics
About Lesson

Currency:

Currency refers to a system of money that is widely accepted as a medium of exchange, unit of account, and store of value in an economy. It can come in various forms, such as coins and banknotes, digital representations in bank accounts, or even virtual currencies.

Currencies are used to facilitate transactions between individuals and businesses by providing a standardized measure of value for goods and services.

 

Importance of Currency:

Currency plays a crucial role in modern economies for several reasons:

1. Medium of Exchange:

Currency serves as a convenient medium through which goods and services can be exchanged. It eliminates the need for barter, where individuals would have to trade directly with each other, which can be inefficient and impractical.

2. Unit of Account:

Currencies provide a common unit of measurement for expressing the value of different goods and services. This allows for easy comparison and evaluation of costs and prices.

3. Store of Value:

Currency enables individuals to save and store value for future use. Instead of having to retain physical goods, people can hold currency knowing that it will retain its value over time (though inflation can erode this value).

4. Facilitates Economic Activities:

A stable and widely accepted currency encourages economic activity by promoting trade, investment, and consumption. It provides the necessary foundation for businesses to function and grow.

5. Monetary Policy:

Currencies are a tool used by central banks to implement monetary policy. By controlling the supply of money and influencing interest rates, central banks can manage inflation, unemployment, and economic growth.

 

Currencies from Different Countries:

Here are examples of currencies from different countries:

  • United States: United States Dollar (USD)
  • European Union: Euro (EUR)
  • United Kingdom: British Pound Sterling (GBP)
  • Japan: Japanese Yen (JPY)
  • Canada: Canadian Dollar (CAD)
  • Australia: Australian Dollar (AUD)
  • Switzerland: Swiss Franc (CHF)
  • China: Chinese Yuan Renminbi (CNY)
  • India: Indian Rupee (INR)
  • Brazil: Brazilian Real (BRL)
  • South Africa: South African Rand (ZAR)

 

Currency Conversion (Pakistani Rupee):

To convert money based on the currency exchange rate involving the Pakistani Rupee (PKR), you would need to know the exchange rate between PKR and the other currency you’re interested in.

For example, if you want to convert from US Dollars (USD) to Pakistani Rupees (PKR), you would use the current exchange rate.

Let’s say the exchange rate is 1 USD = 275 PKR. If you have 100 USD, you would calculate the equivalent in PKR:

100 USD * 275 PKR/USD = 27,500 PKR

Please note that exchange rates can fluctuate frequently due to various economic factors, so it’s important to use up-to-date rates for accurate conversions.

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