Awareness Campaign: Aurora National Science High School Waste Management

 

Sign our petition if you want a greener future.

(YOU CAN FIND THE LINK BELOW)

Don’t trash our future: Recycle.

https://www.change.org/p/eco-warriors-2-0-awareness-campaign-on-aurora-national-science-high-school-waste-management?recruiter=905104505&utm_source=share_petition&utm_medium=facebook&utm_campaign=share_for_starters_page&utm_content=fht-13691075-en-us%3Av5

  Waste collection and segregation at source is the first step in efficient Solid Waste Management (SWM). It ensures better hygiene during subsequent waste handling, great saving of time during waste sorting, better space management during its storage and avoids wastage of raw material due to mixed garbage during recycling. Considering importance of waste segregation, most Municipal Corporations have mandated segregation of waste at source. Because of low awareness, space constraints, low law enforcement, often waste segregation is not followed by organizations and residential areas. However, waste collection, segregation and disposal can be planned through advice of experts.  This Campaign is to sensitize students about the above issue.

Circular Functions: Reference Angle

The reference angle is the angle that the given angle makes with thex-axis. Regardless of where the angle ends (that is, regardless of the location of the terminal side of the angle), the reference angle measures the closest distance of that terminal side to the x-axis.

Circular Functions on Real Numbers

The circle above is drawn in a coordinate system where the circle’s center is at the origin and has a radius of 1. This circle is known as a unit circle.

The x and y coordinates for each point along the circle may be ascertained by reading off the values on the x and y axes. If you picture a right triangle with one side along the x-axis:

ADVOCACY VIDEO

#FEEL THE WRATH OF MATHEMATICS

(IT IS ALSO FEATURED IN OUR VIDEO OF THE DAY! )

Angles in a Unit Circle: Arc Length and Area of a Sector

Radians, like degrees, are a way of measuring angles.

One radian is equal to the angle formed when the arc opposite the angle is equal to the radius of the circle. So in the above diagram, the angle ø is equal to one radian since the arc AB is the same length as the radius of the circle.

Angles in a Unit Circle: Coterminal Angles

Coterminal Angles are angles who share the same initial side and terminal sides. Finding coterminal angles is as simple as adding or subtracting 360° or 2π to each angle, depending on whether the given angle is in degrees or radians. There are an infinite number of coterminal angles that can be found. Following this procedure, all coterminal angles can be found. This is the basis for solving trigonometric equations which will be done in the future.

Angles in a Unit Circle: Angle Measure

The “Unit Circle” is a circle with a radius of 1.

Being so simple, it is a great way to learn and talk about lengths and angles.

The center is put on a graph where the x axis and y axis cross, so we get this neat arrangement here.

Terms of a Binomial Expansion and Approximation and Combination Identities

Binomial Expansion

Somewhere in our algebra studies, we learn that coefficients in a binomial expansion are rows from Pascal’s triangle, or, equivalently,

(x + y)ⁿ = _nC₀ xⁿ y⁰ + _nC₁ x^{n – 1} y¹ + …. + _nC_n x⁰ yⁿ

Combinations, Pascal’s Triangle and Binomial Theorem

Often both Pascal’s Triangle and binomial expansions are described using combinations but without any justification that ties it all together. The passionately curious surely wonder about that connection! Here’s my attempt to tie it all together. As always, read mathematics with a pencil and work through it!

Principle of Mathematical Induction

THE NATURAL NUMBERS are the counting numbers:  1, 2, 3, 4, etc.Mathematical induction is a technique for proving a statement — a theorem, or a formula — that is asserted about every natural number.

By “every”, or “all,” natural numbers, we mean any one that we name.