This week will continue learning about matter, focusing on buoyancy. We will investigate buoyancy by dropping various fruits into water to see which will sink and which will float! Below is a...
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In physics, a wave is an oscillating disturbance of some physical quantity in space and periodic in time. A wave is accompanied by a transfer of energy that travels through space or mass. The space is characterized by oscillation wavelength and the elapsed time is measured by an oscillation wave period which is the inverse of the frequency. These two quantities are related by the speed of wave propagation. Physically, a wave is an …
A tesseract, also known as a hypercube, is a four-dimensional cube, or, alternately, it is the extension of the idea of a square to a four-dimensional space in the same way that a cube is the extension of the idea of a square to a three-dimensional space. Above, we can see a projection of a rotating hypercube into a three-dimensional space. In the image below, we see one attempt to represent a diagram …
As the name suggests propositional logic is a branch of mathematical logic which studies the logical relationships between propositions (or statements, sentences, assertions) taken as a whole, and connected via logical connectives. Propositional logic is also known by the names sentential logic, propositional calculus and sentential calculus. It is useful in a variety of fields, including, but not limited to: workflow problems computer logic gates computer science game strategies designing electrical systems …
Quantum mechanics [QM] is a branch of physics which describes physical systems so that properties like the energy or angular momentum are discrete quantities that are multiples of a smallest unit or quantum. A famous physicist named Erwin Schrödinger made an example of quantum mechanics, often called Schrödinger's cat. It illustrates what he saw as the problem of the Copenhagen interpretation of quantum mechanics for every day objects. In this "paradox", Schrödinger states that …
A differential equation is an equation that involves a function and its derivatives. Put another way, a differential equation makes a statement connecting the value of a quantity to the rate at which that quantity is changing. For example, for a launching rocket, an equation can be written connecting its velocity to its position, and because velocity is the rate at which position changes, this is a differential equation. Solving this differential equation for …
A Markov chain is a mathematical system that experiences transitions from one state to another according to certain probabilistic rules. The defining characteristic of a Markov chain is that no matter how the process arrived at its present state, the possible future states are fixed. In other words, the probability of transitioning to any particular state is dependent solely on the current state and time elapsed. The state space, or set of all possible …
Have fun making cloud mobiles to help your students remember the 4 types of precipitation: rain, snow, sleet, and hail. This packet also includes 10 weather themed math practice pages. Skills practiced include: identifying addition and subtraction equations, even and odd number recognition, addition...
In object-oriented programming, a class is a blueprint for creating objects (a particular data structure), providing initial values for state (member variables or attributes), and implementations of behavior (member functions or methods). The user-defined objects are created using the class keyword. The class is a blueprint that defines a nature of a future object. An instance is a specific object created from a particular class. Classes are used to create and manage new objects …
Graph theory is the study of mathematical objects known as graphs, which consist of vertices (or nodes) connected by edges. (In the figure below, the vertices are the numbered circles, and the edges join the vertices.) Any scenario in which one wishes to examine the structure of a network of connected objects is potentially a problem for graph theory. Examples of graph theory frequently arise not only in mathematics but also in …
The Möbius strip, also called the twisted cylinder, is a one-sided surface with no boundaries. It looks like an infinite loop. Like a normal loop, an ant crawling along it would never reach an end, but in a normal loop, an ant could only crawl along either the top or the bottom. A Möbius strip has only one side, so an ant crawling along it would wind along both the bottom and the …
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Nutrition is the process of providing the body with the raw materials it needs to function and grow. There are three major macronutrients (carbohydrates, proteins, and fats) that function as the major building blocks and fuel for physiological processes. Additionally, a balanced diet must contain sufficient micronutrients like vitamins and minerals. Humans receive their micronutrients and macronutrients from plant and animal sources. The whole structures (leaves of plants, muscles of …
Makey Makey Math/Science Classify and Sort: Inspired by Makey Makey Operation game and cardboard sorting machine workshop by Jeff Branson of Sparkfun, you'll finally have a reason to make an Operation game, ahem, I mean sorting game with Makey Makey!
The double-slit experiment is an experiment in quantum mechanics and optics demonstrating the wave-particle duality of electrons, photons, and other fundamental objects in physics. When streams of particles such as electrons or photons pass through two narrow adjacent slits to hit a detector screen on the other side, they don't form clusters based on whether they passed through one slit or the other. Instead, they interfere: simultaneously passing through both slits, and producing …
