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The Brachistochrone, with Steven Strogatz: Brachistochrone - Part 1 of 2
A classic problem that Johann Bernoulli posed to famous mathematicians of his time, such as Newton, and how Bernoulli found an incredibly clever solution using properties of light.
3Blue1Brown
The Brachistochrone, with Steven Strogatz
A classic problem that Johann Bernoulli posed to famous mathematicians of his time, such as Newton, and how Bernoulli found an incredibly clever solution using properties of light.
Curated Video
Comparing Two Rates of Change Using Words & a Graph | 8.EE.B.5
In this math video we will be comparing two rates of change using words & a graph. We will be asked to identify who ran more miles in their first hour of their run. We will find the rate of miles ran in an hour. When reading the graph,...
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Complete the Table of a Linear Relationship | 8.F.B.4
In this math video we will complete the table of a linear relationship. We will understand that a linear relationship has a constant rate of change. This means that as y increases or decreases by the same constant rate, x will increase...
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Identifying Slope and Y-Intercept from a Table
In this video, the teacher explains how to identify the slope and Y intercept of a linear function from a table using a standardized math test question as an example. They demonstrate how to find the slope and Y intercept by analyzing...
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Analyzing Quadratic and Linear Functions in Real Life Word Problems
In this video, we explore the concept of domain restrictions in quadratic functions by analyzing real-life scenarios involving linear and quadratic functions. We learn about function notation, linear functions with constant rate of...
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Exploring Recursive Processes in Patterns
In this video, the teacher explains the concept of a recursive process by exploring patterns in linear and nonlinear relationships. They use examples of rectangles and l-shaped figures to demonstrate how the pattern can be extended and...
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Recognizing Patterns in Nonlinear Functions
In this lesson, students will learn how to write a rule for a nonlinear function by recognizing patterns. They will explore linear and nonlinear functions, identifying common differences and patterns in tables of values. Through examples...
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Revenue and its Forms: Marginal, Average, and Total Revenue in Economics
The video explains the topic of revenue in economics and specifically focuses on three forms of revenue: marginal revenue, average revenue, and total revenue. The video provides a definition of revenue and demonstrates how to calculate...
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Identifying Functions by Analyzing Graphs
In this video, you will learn how to determine if a graph represents a function. The teacher explains the importance of correctly plotting the input and output values on a coordinate grid and emphasizes that every input must have exactly...
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Recognize the Characteristics of a Linear Function
Understand how to recognize a linear function by examining its four representations: graph, algebraic equation, numeric table, and verbal description. Use examples to demonstrate the concept and highlight common mistakes. By...
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Constructing Linear Functions: Calculating Slope and Y-Intercept
In this video, the teacher explains how to construct a linear function to model a scenario. They use examples such as the growth of antelope population and the cost of a cell phone plan to demonstrate how to calculate the slope and Y...
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Compare Two Functions by Analyzing an Equation and a Table
In this video, the teacher explains how to compare functions using equations and tables. They emphasize the importance of understanding the different representations of functions and how to calculate the constant rate of change. They...
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Creating Scenarios to Fit Linear Equations
In this video, learn how to create a verbal description of a linear relation by using a graph or equation. Review examples of scenarios that fit different equations and graphs, such as a wildfire spreading at a constant rate or a person...
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Identifying Function Properties with Real-World Examples
This video explains how to determine if a parking garage represents a function relation. Examine real-world examples such as gumball machines and the cost of a parking garage to demonstrate the properties of functions. The video teaches...
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Proportional Relationships and Slope: Graphing Equations and Interpreting Slope
In this video lesson, we cover proportional relationships and slope, including how to graph equations and interpret slope in the context of a problem. We also discuss comparing relationships and using different representations to...
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Compare Two Functions by Analyzing an Equation and a Graph
Learn how to compare equations and graphs to analyze functions. Understand that a graph is a visual representation of a function relation, while an equation is an algebraic representation. This video emphasizes the importance of...
Curated Video
Writing and Graphing Linear Equations from Tables
Learn how to write and graph a linear function from a table that represents a linear relationship. Review the slope-intercept form of a linear equation and how to find the slope and y-intercept from a table or graph. Understand the...
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GCSE Secondary Maths Age 13-17 - Geometry & Measures: Volume - Explained
SchoolOnline's Secondary Maths videos are brilliant, bite-size tutorial videos delivered by examiners. Ideal for ages 13-17, they cover every key topic and sub topic covered in GCSE Maths in clear and easy to follow steps. This video...
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Understanding and Applying the v² - u² = 2as Equation
This video lecture discusses the equation v^2 - u^2 = 2as, which is used to calculate the relationship between initial and final velocity, acceleration, and distance traveled over a period of time. The video outlines a three-step process...
Schooling Online
Physics Kinematics: Motion in a Straight Line - Misunderstanding Acceleration
As the city gets devoured by the sinkhole, Vector Man investigates its suspicious origin. Does he have enough time to salvage the evidence? This lesson will debunk the most commonly held misconceptions about acceleration. Definitions...
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Identifying Exponential Growth & Decay Functions
In this lesson on exponential growth and decay, students will learn to identify and interpret exponential functions. The teacher explains the characteristics of exponential growth and decay functions using real-world examples such as...
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Understanding Linear Functions through Graph Analysis
Learn to define linear functions by analyzing graphs of the forms y = x and y = mx. Understand that linear functions have a constant rate of change and that the coefficient of x, also known as the slope, determines the steepness of the...