Curated Video
Write an Equation for a Real World Situation
In this video, the teacher explains how to write a real-world equation to represent a situation involving the cost of kites and spools of kite string at a toy store. The teacher breaks down the problem, highlighting important information...
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Simplifying Radical Expressions
This video will explain and demonstrate how to simplify radical expressions.
Curated Video
Determining the Best Method
Quadratic equations can be solved using various methods: factoring, completing the square, the quadratic formula, or taking square roots. Sometimes one method is a better option than the others, because it’s a little easier to use.
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Identify Extraneous Solutions
“Identify Extraneous Solutions” will review the different methods of how to test equations for extraneous solutions.
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The Modern Galileo
Nobel Laureate Roger Penrose, University of Oxford, describes how, while he's not exactly aware of what exactly motivates him to write his popular books about physics, he clearly looks to Galileo as an inspiring role model.
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How Do Physics-Informed Neural Networks Work?
Can physics help up develop better neural networks?
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Solve Systems Algebraically
You will solve for the point of intersection of two linear equation problems with two variables.
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Increased Elegance
Imperial College cosmologist Claudia de Rham describes her view of how reinterpreting Einstein's theory of gravity in terms of particle physics gives a more coherent and elegant picture of the forces of nature.
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Beyond Reductionism
Celebrated polymath and mathematical physicist Freeman Dyson (IAS) describes why he is not a reductionist.
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The Brain Barrier
Duke neuroscientist Miguel Nicolelis describes how all human knowledge, even matters such as basic physics that seem completely independent of human experience, naturally depend on the nature of our brains.
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Cosmological Amnesia
Nobel Laureate Roger Penrose muses on how, despite being aware of the potential cosmological constant for many decades, most physicists were shocked when dark energy (commonly associated with such a constant) was observationally detected.
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Turning the Universe Upside Down
Nobel Laureate Roger Penrose (Oxford) tells us why he is sceptical of the inflationary theory of cosmology.
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Octaves and Harmonics
Nobel laureate in Physics David Politzer (Caltech) uses a banjo to demonstrate how octaves and harmonics arise from vibrating strings.
Curated Video
No Explanation
Nobel Laureate Roger Penrose, University of Oxford, describes why he believes that inflationary cosmology doesn't explain the mystery of why the universe began in such an unlikely, very smooth state, arguing that had it started out...
Curated Video
Valuing The Details
Celebrated scientific polymath Freeman Dyson, Institute for Advanced Study, describes how he is "more interested in the details than the big picture", and explains why he thinks that it is vital to not just search for overall equations,...
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Multi-Step Equations
Multi-Step Equations demonstrates how to solve multi-step equations by using the distributive property to combine like terms on one side of an equation.
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Solutions by Graphing Systems
This video will discuss examples to find approximate solutions by graphing, using technology. Equations of the form f(x) = g(x) will be solved, where f(x) and g(x) may be linear, polynomial, rational, absolute value, exponential, or...
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Two-Step Equations
Two-Step Equations shows how to write two-step single variable equations by using verbal models.
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Systems of Equations
“Systems of Equations” will explain how to tell whether two lines intersect, and if they intersect, how to solve them.
Curated Video
Motion Terms and Equations
“Motion Terms and Equations” reviews key vocabulary associated with motion, as well as equations used to calculate the various aspects of motion.
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Solving Multivariable Equations
“Solving Multivariable Equations” will instruct you on how to mold an equation to solve for a needed variable.
Virtually Passed
3.1 Linearization PROOF | Nonlinear Dynamics
Nonlinear Dynamics mini-series Part 1: • 1.0 A better way ... Part 2: • 2.0 A better way ... Part 3: • 3.0 A better way ... This video shows a formal proof behind linearization for 2D flows: dx/dt = f(x,y) dy/dt = g(x,y) Step 1: Find...
Curated Video
Equations with Fractions
Equations with Fractions demonstrates how to solve one-step equations by using reciprocals when the coefficient of the variable is a fraction.
Teaching Without Frills
Ways to Make 5 Using Addition Equations - Kindergarten Math - "Making 5"
In this video, you'll learn different ways to make 5 and how to write addition equations to match!