Topics in Mathematics
Angles: Type of angles based on degree measurement Angle Pairs: Types of angle pairs Conversion of Number Bases explained with examples Angles: What are Angles? Categories of Angles Lines and Types in Mathematics Number Base System - Table showing the Number Bases with explanations Mathematics Scheme of Work, SS1, 3rd Term Mathematics Scheme of Work, SS1, 2nd Term Mathematics Scheme of Work, SS1, 1st Term Trigonometry - Sine, Cosine and Tangent explained with worked examples Quadratic Equation - Factorization of Quadratic Equation Algebra - Explanation and Worked Examples on AlgebraAcademic Questions in Mathematics
Factorize 12a^{2} - 20a + 3
A. (6a - 1)(2a - 3)
B. (6a - 1)(2a + 3)
C. (6a + 1)(2a - 3)
D. (6a + 1)(2a + 3)
E. (-6a + 1)(2a - 3)
F. (-6a + 1)(2a + 3)
Simplify 10ab + 7ab
A. 17ab^{2}
B. 17a^{2}b^{2}
C. 3ab^{2}
D. 3a^{2}b^{2}
E. 17ab
F 3ab
Which of the following is not a type of angle?
A. Right angle
B. Left Angle
C. Acute Angle
D. Complete Angle
E. Straight Angle
F. Reflex angle
Two lines that can never meet each other are best considered as _____ lines.
An angle at exactly 90^{o} is a/an _____ angle.
Slanted or tilted lines that will finally meet at some point but NOT at a right angle are referred to as _____.
The two sides that forms an angle are referred to as the _____.
The point where the two sides of an angle meet is termed the _____.
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Lines are quite important in mathematics because having a good understanding of them would help students to better understanding angles.
Please read on Angles and Types of Angles here.
Every form of line must begin from a point. In fact, a line can only be drawn within two different points.
Just think of a point as a location.
A point has no length, depth or width. It is generally represented as a dot.
Note: A point is not necessarily a dot. A dot shows you where the point (location) really is.
As an instance, Below are 5 different points represented by a dot.
. . . . .
A line can be defined as the path between two points.
A line usually have a length but may have no width.
Lines are generally put into 2 categories in mathematics. Every other type of line will lie within these 2.
The 2 categories of lines are Straight Lines and Curved Lines.
Please read on the Type of Lines in Technical Drawings here.
When the path between two points are straight, then the line that is associated with the path is a straight line.
A straight line can be drawn in any direction. It could go from north to south or east to west.
The image below shows a straight line running from east to west.
EAST ______________________ WEST
Below are types of straight line:
A horizontal line is a line that runs from left to right or east to west in a straight line.
A vertical line runs from top to bottom or north to south in a straight line.
The word perpendicular simply means “at right angles”.
Two lines are said to be perpendicular if they meet or cross each other at a right angle.
Note: A right angle is an angle at ninety degrees (90^{o}).
In the diagram above, you will observe that the line CD meets line AB at point E, which is at a right angle (90^{o}). Line CD is therefore said to be perpendicular to line AB at point E.
Note the followings in the above diagram:
Two lines are considered to be parallel if they will never meet each other, no matter the length at which you extend them.
The diagram below show two parallel lines:
Oblique lines are neither perpendicular nor parallel. They are slanted or tilted lines that will finally meet at some point, but not at a right angle (90^{o}).
In the diagram above, the lines in:
Note: Oblique lines are sometimes referred to as slanting lines.
When the path between two lines isn’t straight, then such line can be said to be curved. Below is a curved line.
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Amazing facts in Mathematics
The opposite sides of a ðŸŽ² dice ðŸŽ² will always give a sum of seven
31,556,926 seconds makes one year
From 0 through 1000, the only number that has the letter 'a' in it is 'one thousand'
÷
The division symbol '÷' is actually called an obelus
Four is the only number in the English language that is spelt with the same number of letters as the number (4) itself
40 is spelt as FORTY and not FOURTY. It is the only number that is spelt with letters arranged in alphabetical order ðŸ™„
An odd number is a number that cannot be divisible by 2.
Every odd number has an 'e' in its spelling. They include:
- One
- Three
- Five
- Seven
- Nine
555 in Thailand should sound like 'hahaha'. This is because the word '5' means 'ha' in Thailand
10! Actually means 10 factorial in mathematics. Below is its calculation:
10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 3628800
3628800 seconds is the same as 42 days
42 days is the same as 6 weeks
We can therefore say that 10! equals 6 weeks or 3628800 seconds in mathematics
When you multiply 111,111,111 by 111,111,111; the result equals 12,345,678,987,654,321
NOTABLE POINTS IN Mathematics
The image above shows a right angled triangle. The angle of the above right triangle is denoted as θ
Hypotenuse is always the longest side of the triangle.
Opposite is the side opposite the angle (θ)
Adjacent is the shorter side next to the angle (θ)
Each of Sin θ, cos θ and tan θ are the ratio of sides of the right triangle. They are calculated by using the formula (margic word) sohcahtoa:
soh
Sin θ = Opposite/Hypotenuse
cah
Cos θ = Adjacent/Hypotenuse
toa
Tan θ = Opposite/Adjacent
Circumference in mathematics means the distance around the edge of a circle (or a another curverd surface).
Perimeter means the distance around a square or rectangle or polygon.
Circumference is to circle or any other curved surface
Perimeter is to square or rectangle or polygon