Plastics are one of the most useful and resilient materials in the world, which is why they are extensively used in various household products. However, their impressive durability is as much of a curse as it is a blessing. When thrown out, plastics can take years to decompose. A plastic water bottle, for instance, may […]
Archives for April 2022
A Comprehensive Guide to Parametric Equations
In mathematics, parametric equations describe a pair of quantities as explicit functions of independent variables regarded as “parameters.” They are most commonly used to define the coordinates of points that comprise a geometric artifact such as a curve or surface, in which case the equations are referred to as a “parametric representation” or “parameterization of […]
An Algebraic and Geometric Approach to Eigenvalues and Eigenvectors
In linear algebra, we are introduced to eigenvectors and eigenvalues. While eigenvectors are vectors with a direction immutable by a transformation, eigenvalues are associated with the physical quantity by which the eigenvector is scaled. For the average student, most of these concepts can be difficult to grasp from a geometric perspective. That is why, in […]
AP Calculus AB: Implicit Differentiation
As the Advanced Placement (AP) testing season nears this spring, it is important to familiarize ourselves with the content matter. According to College Board, differentiation: implicit, composite, and inverse functions will be 9-13% of the test score in 2022. To develop a better understanding of implicit differentiation, we need a brief semantic breakdown of the […]
Inspiring Students to Think like Scientists
Image source Inspiring students to think like scientists teaches them how to be capable and independent learners. It also allows them to understand the material more thoroughly, and prepares them for the future. Here’s how you can inspire children to think and act like scientists! Encourage curiosity of nature and science Passion and interest are […]
Eight Ways to Reduce Waste
Image source Did you know that the average US citizen produces 4.5 pounds of waste per day? That’s 1642.5 pounds of waste going to landfills every single year. It’s important to reduce the amount of waste we produce because landfills take up lots of land and when waste decomposes, it releases gasses such as methane […]
