Introduction to Coordinate Geometry

Coordinate geometry is a very important area of math. It combines algebra with geometry. It is based on idea that algebra equations can be represented as geometric shapes. This blog also has algebra and geometry as two separate categories.

There is an amazing regularity between degree of equations and the geometric shapes they form. All linear equations in two variables give straight lines. Lines formed by linear equations differ only in their positioning in a coordinate plane. This article includes example problems involving only simple linear equations. Continue reading “Introduction to Coordinate Geometry”

Geometry at Work

A triangle is a simple geometric shape. All triangles are closed and flat. They have three straight edges and three corners. There are lot of variations to how triangles may be drawn. Here are some images of triangles that differ in shape.

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Regularities to triangles are identified as their geometric properties. Each type of geometric shape has specific geometric properties that always hold. These are like rules of geometry. Continue reading “Geometry at Work”

Euclidean Geometry

Euclid was a Greek mathematician writer who lived around 300 BC. He wrote the most famous math textbook of history. He named his book ‘Elements’.

Elements continued to be used as a standard geometry textbook for 2000 years. Scientific geometry could not advance significantly during this period.

Geometry that is taught at secondary schools still bears the name of Euclid. It is called Euclidean Geometry. More advanced non-Euclidean geometries began much later during the 19th century.

Continue reading “Euclidean Geometry”

Introduction to Algebraic Expressions

An algebraic expression say 2 × x + y ÷ 2 – 3 cannot be evaluated to a definite number as values of x and y are unknown. x and y may be given any values and the resulting value of the expression would differ as a result.

The expression is written in a more compact form as

2x + y / 2 – 3

This expression has three algebraic terms. Terms of an algebraic expression are separated by + or – signs. 2x, y / 2 and 3 are the three terms in the given algebraic expression. 2 and x are factors of the term 2xy / 2 has factors 1 / 2 and y. Continue reading “Introduction to Algebraic Expressions”

Great Importance of Algebra Learning

Algebra is an extension of arithmetic. It handles unknown numbers along with known numbers. Unknown numbers are called variables. They are represented as alphabets such as a,b,x,y etc.

Mathematical statement 1 + 2 = 3  is true while  1 + 2 = 5 is false.

However, a statement like x + 1 = 3  is neither true nor false. x is a variable and may be given any value. The statement is true only for x = 2.
Continue reading “Great Importance of Algebra Learning”

Real Beginning of Math

Making discoveries is as important to math as it is to science. What a great brain it must have been that made the first math discovery.

Do you know who made the first math discovery? When  was it made and by whom?

Thales (624-546 BC) was the first to make a math discovery. He started the development of math as a science. He was a Greek mathematician, philosopher and astronomer. Before him, math was all about practical applications like counting, land surveying and making measurements for buildings that were to be constructed. Continue reading “Real Beginning of Math”

How Math Began

Math began with counting. Counting is a basic need. Prehistoric men led a simple life. Their need for counting was limited. They had names only for the first few counting numbers. For a greater count, they had the notion of many.

They might have used more difficult ways of keeping a count than we use today. To keep count of animals, herdsmen might have marked each animal against their fingers or toes. Pebbles or sticks might have enabled them to keep an even greater count by matching. Continue reading “How Math Began”

How to Get Good Grade in a Math Test

Set an easy goal first if you want your math grade to improve. Try to improve grades in individual tests. Then try for a better grade in a full math exam.

The contents of this post include two parts

  1. Preparing for a test
  2. Taking a test

Preparing for a Test

Begin preparing at the earliest. Go to your class after reading carefully the topic to be taught. If possible, mark the important things of the topic in your book. Try to identify the keywords. Know them as well as you can. Continue reading “How to Get Good Grade in a Math Test”

Uses of Plus(+) and Minus(–) Signs

+ and – signs have two uses in arithmetic

  1. As number signs
  2. As arithmetic operation signs

+ and – as Number Signs

As number signs, + and – are used to represent opposites. See one of my previous articles in this blog to read more about negative numbers as opposites.

As number signs, – and + are written just before a number. All numbers except zero are either positive or negative. Continue reading “Uses of Plus(+) and Minus(–) Signs”

How to Make your Math Learning Effective

Word problems are very important to school math. They teach math learners its use in real-world situations. Many of the math questions in school examinations are word problems.

Generally, for a math topic, underlying concepts are taught first. These are the laws and rules of the math topic e.g. what division is and how to do it. Then follows the teaching and practice of abstract problems of the topic e.g. 2450 ÷ 5. Lastly, word problems are taught and practiced. They are descriptive and based on real-world situations. A division word problem describes a real-world situation as a math problem to be solved. A student solves the problem by applying division. The solution to word problems requires the knowledge of both concepts and solution to abstract problems. Continue reading “How to Make your Math Learning Effective”