*Reference: Course on Subject Clearing*

## Introduction

**This video provides an Overview of Mathematics in clear and precise terms.**

**What are the basic parts of MATHEMATICS?**

**The basic parts of MATHEMATICS are:**

**ARITHMETIC****GEOMETRY****ALGEBRA**

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**What is ARITHMETIC?**

**In Arithmetic we learn about numbers and how to add, subtract, multiply and divide them. The word ARITHMETIC literally means “number skill.”**

**NUMBER SKILL:**

**Find the total of 97 pennies and 64 pennies.**

**Imagine two stacks of 97 and 64 pennies.****Transfer 3 pennies from the 64-penny stack to 97-penny stack.****You now have two stacks of 100 and 61 pennies****We can add this quickly as 161 pennies.****Therefore, the sum of 97 and 64 is 161.**

**One learns many such number skills in Arithmetic.**

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**What is GEOMETRY?**

**In Geometry, we study the relationships in space so we can build things. The word GEOMETRY literally means “to measure land.”**

**MEASURMENT SKILL:**

**Using angles one can find the height of a tree from a distance.**

**We move to a certain distance from the tree.****We then measure the angle of sight to the top of the tree.****We move to a place where this angle is 45 degrees.****Then distance from the tree plus your height will be same as the height of the tree.**

**One learns many such relationships in Geometry.**

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**What is ALGEBRA?**

**In Algebra, we use relationships to figure out unknown values. The word ALGEBRA literally means “binding together.”**

**RELATIONSHIP SKILL:**

**Find the relationship between Sam and his mother’s age.**

**When Sam was born his mother was 30 years old.****When Sam was 5, his mother was 35 years old.****When Sam was 10, his mother was 40 years old.****Sam’s mother will always be 30 years older than Sam.****When Sam is ‘x’ years old, his mother would be ‘x + 30’ years old.****Therefore, when Sam is 40 years old, his mother would be 70 years old.**

**One learns many such relationships in Algebra.**

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**Check your Understanding**

**1. What are the main parts of Mathematics?**

**The main parts of mathematics are Arithmetic, Geometry and Algebra.**

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**2. Which part of mathematics do you study first in your childhood?**

**We study Arithmetic or “number skill” first in our childhood.**

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**3. What is Geometry useful for?**

**Geometry is useful for measuring things in space, such as lengths, widths, heights, and directions.**

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**4. How is Algebra different from Arithmetic?**

**Arithmetic teaches skill with numbers. Algebra helps to find an unknown value from a given relationship.**

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## Final Thought

**Mathematics is one subject. But it can be understood quickly by looking at parts of it more closely.**

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Here is an interesting video: **https://www.youtube.com/watch?v=OmJ-4B-mS-Y**

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