Curated Video
Modeling Quadratic Functions: Graphs and Equations
In this lesson, mathematicians will learn how to model quadratic functions by drawing graphs and writing equations. They will understand the concept of squaring a number and how it relates to the area of a square. By exploring the...
Curated Video
Writing Quadratic Equations Using Points on the Parabola
In this video, the teacher explains how to write the equation of a parabola using different methods. They also demonstrate how to solve systems of equations and find the vertex of a parabola. The video concludes by applying these...
Brian McLogan
Find the particular solution with exponential and inverse trig
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution...
Curated Video
Analysis of Temperature and Respiration Rate in Maggots: Findings and Future Experiments
The video is a lecture presentation about an experiment on the relationship between temperature and the rate of respiration in maggots. The speaker discusses the experimental setup, which includes placing maggots in a boiling tube with...
Curated Video
Experiment on How Increasing Reactant Concentration Affects Reaction Rate
The video discusses a required practical activity from the chemistry specification, which is an experiment to investigate how increasing the concentration of a reactant affects the rate of the reaction by observing a precipitate. The...
Brian McLogan
How to write the equation of the tangent line with implicit differentiation
👉 Learn how to find the derivative of an implicit function. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative of a...
Brian McLogan
What is a transformation vector
👉 Learn how to apply transformations of a figure and on a plane. We will do this by sliding the figure based on the transformation vector or directions of translations. When performing a translation we are sliding a given figure up,...
APMonitor
Data Science 🐍 Interpolation
Interpolation constructs new prediction points from a discrete set of known data points. There are many types of interpolation such as nearest neighbor (piecewise constant), linear, polynomial, cubic spline, and basis spline. In...
Curated Video
Finding X-Intercepts of Quadratic Functions by Factoring
In this video, the teacher explains how to find the x-intercepts of a quadratic function by factoring. They clarify the difference between y-intercepts and x-intercepts and demonstrate how to use the zero product property to find the...
Curated Video
Introduction to Electrical Circuits and Quantities
The video explains the basic principles of a simple electrical circuit and how to calculate current, potential difference, and resistance using equations. The video also applies these equations to a simple circuit diagram with a battery,...
Curated Video
Understanding Geometric Representations: Points, Lines, and Planes
In this video, students learn about the distinctness between the definition and representation of geometric terms such as points, lines, and planes. The video explains how specific notation and drawings are used to represent these...
Curated Video
Finding Coordinates of Points on a Straight Line Using Similar Triangles
In this video, students learn how to find the coordinates of points along a straight line using similar triangles. They are taught to set up ratios with the vertical side (rise) first and the horizontal side (run) second.
Brian McLogan
What do I need to know to graph a system of linear inequalities
👉 Learn about graphing a system of inequalities. A system of inequalities is a set of more than one inequalities which are to be solved simultaneously. To solve a system of inequalities graphically, we graph the individual inequalities...
Curated Video
Approximating Solutions to Systems of Equations by Graphing
IBy graphing equations and identifying the intersection point, you can determine the approximate solution. This method allows you to visualize the solutions and make estimations even when the intersection point is not on integers.
Curated Video
Writing Exponential Equations from Graphs: Two-Point Method
Learn how to write an exponential equation using data given as a graph. The lesson covers scenarios where the Y-intercept is known or unknown, and provides step-by-step instructions on how to determine the explicit equation.
Curated Video
Importance of Precise Definitions in Geometry
In this lesson, we explore the importance of precise definitions in geometry. We discover that imprecise definitions can lead to multiple interpretations and confusion.
Math Fortress
Geometry: Introduction to Geometry (Level 3 of 7)
This video continues introducing the basic building blocks for the successful study of geometry. This video goes over 5 examples covering the appropriate way to denote and name angles formed by points on a geometric figure.
APMonitor
Linear and Polynomial Regression in Python
This brief tutorial demonstrates how to use Numpy and SciPy functions in Python to regress linear or polynomial functions that minimize the least squares difference between measured and predicted values. Source Code:...
APMonitor
Linear and Nonlinear Regression in Python
Polynomial or general nonlinear functions are developed with Numpy and Scipy in Python. These exercises also cover methods to create linear or spline interpolations that interpolate between data points.
Brian McLogan
Graphing a linear inequality less than or equal to
👉 Learn how to graph linear inequalities written in slope-intercept form. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line that satisfies the inequality is shaded. Also...
Curated Video
Determining Line Intersection
In this lesson, students will learn how to determine if two lines intersect. They will explore the concept of parallel lines and perpendicular lines, and understand that parallel lines have the same slope.
Curated Video
Force and Extension Experiments: Analyzing the Relationship Between Force, Extension, and Work Done with a Spring
This video is a lecture presentation analyzing the results of an experiment on the relationship between force and extension in a spring. The presenter uses graphs, tables, and equations to explain how the force and extension are...
Curated Video
Force, Mass and Acceleration Experiment: Methods and Results
The video is a lecture presentation about the force, mass and acceleration experiment. It discusses how to apply force to an object, measure that force, and measure the resulting acceleration. The presentation covers methods of applying...