Why are most manhole covers round? Sure it makes them easy to roll, and slide into place in any alignment. But there's another, more compelling reason, involving a peculiar geometric property of circles and other shapes. Marc Chamberland...

Honeybees are some of nature's finest mathematicians. Not only can they calculate angles and comprehend the roundness of the earth, these smart insects build and live in one of the most mathematically efficient architectural designs...

Parallel lines are always the same distance apart and never meet.



We use arrowheads are used to show that lines are
parallel.
See how these lines have one arrow the, because these ones are also...

Reciprocal functions are actually extremely important. Isaac Newton deduced that the forces needed to hold planets in orbits is a reciprocal relationship with the squares of their distances. Radioactive isotopes decay reciprocally, and...

Eight renowned researchers provide real-world examples of the relevance of Theory of Knowledge (TOK) concepts in their research. This interdisciplinary TOK Sampler emphasizes the vital role our past experiences play in shaping...

👉 Learn about graphing absolute value equations. An absolute value equation is an equation having the absolute value sign and the value of the equation is always positive. The graph of the parent function of an absolute value equation is...

👉 Learn how to prove that two triangles are congruent. Two or more triangles are said to be congruent if they have the same shape and size. There are many postulates and theorems to determine whether two triangles are congruent. They...

👉 Learn how to graph quadratic equations by completing the square. A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, b and c are constants. The graph of a quadratic equation is in the shape of a parabola which...

👉 Learn how to identify the vertex of a parabola by completing the square. A parabola is the shape of the graph of a quadratic equation. A quadratic equation can be written in the standard form (i.e. in the form y = ax^2 + bx + c) or it...

What is reality? What is the standard model trying to tell us? Are we living in the 11 dimensions of string theory?



The holy grail of physics is a theory of everything. It may show the...

In a poll of the 50 of the most respected scientists, only one man was on every list at or near the top - Greatest scientist of all time. The birth of physics starts: Isaac Newton had many...