Curated Video
Introduction to Finding Derivatives
This video explains the concept of finding the derivative or instantaneous rate of change for non-linear graphs by using the gradient of the tangent. The speaker demonstrates the process through examples and explains the general formula...
Curated Video
Using Circle Theorems: Focus on the Chord Bisector
This video is a lecture presentation on using circle theorems, with a focus on the chord bisector O. The presenter explains how a circle can be split into two segments by a chord, and how the perpendicular from the center to the chord...
Curated Video
How to Calculate Standard Deviation
This video explains how to calculate standard deviation, defines variance and standard deviation, and provides two formulas for finding standard deviation. The video also includes an example calculation of standard deviation using both...
Curated Video
Vector Geometry and the Ratio Theorem Explained
This video is a lecture presentation on vector geometry and the ratio theorem. The presenter explains the fundamentals of vector geometry and then goes on to explain how to use the ratio theorem to find a vector to a point that divides a...
Curated Video
Solving Quadratic Inequalities: Using Graphs and Discriminants
The video is a lecture presentation on solving quadratic inequalities. The speaker begins by reviewing inequality symbols and explains how they provide a range of values rather than a single answer. The speaker then explains the process...
Curated Video
Probability: Exhaustive, Mutually Exclusive, and Independent Events
The video is a lecture about probability and how to define and calculate probabilities for different types of events. The presenter defines and explains exhaustive, mutually exclusive, and independent events, and demonstrates with...
Curated Video
Enlargements in Graph Transformations
The video is a lecture presentation on the topic of transformations of graphs, with a focus on enlargements. The presenter explains the concept of multiplying a function by a constant or the X variable, which results in a stretch or...
ACDC Leadership
Macro 3.2- Inflationary and Recessionary Gaps with Fiscal and Monetary Policy AP Macro
Mr. Clifford's explanation of inflationary and recessionary gaps. Be sure to watch the bonus round which includes an overview of fiscal and monetary policy. Please keep in mind that these video lessons are not designed to teach you the...
Curated Video
Introducing the Second Derivative in Calculus
The video introduces the concept of the second derivative and demonstrates how to calculate it using differentiation. The presenter applies the general formula for the derivative of rational powers of x to differentiate 6 root x and then...
Curated Video
Transformations of Graphs: Understanding Translations
The video is a lecture presentation on transformations of graphs, with a focus on translations. The speaker explains what translations are and how they can be achieved by moving a graph horizontally, vertically or a combination of both....
Curated Video
Sketching Cubic Functions with Unfactored Elements
This is a lecture presentation on sketching cubic functions and identifying their intercepts and turning points. The presenter explains the general shape of a cubic function and different factorized forms for cubic functions with one,...
Curated Video
Proof by Deduction and Examples
In this video, the topic of "proof by deduction" is discussed. The concept of logical consequence is introduced and explained, and various examples are provided to demonstrate how to use proof by deduction to prove mathematical...
Curated Video
Trigonometric Ratios and the Unit Circle
This video explains the definitions of the trigonometric ratios, specifically using the unit circle to determine their values beyond 90 degrees and into negatives. The video demonstrates how to use the unit circle to find the values of...
Curated Video
Introduction to Notation and Derivatives
The video discusses the different notations used to calculate the gradient of a function or the instantaneous rate of change of a function. The presenter first summarizes the previous lecture on the function, FX, and how it relates to...
Curated Video
Trigonometric Graphs: Finding Multiple Solutions and Extending the Range
In this video, the presenter teaches how to use trigonometric graphs to find multiple solutions and extend the graphs beyond 0 and 360 degrees. The presenter gives two examples, one to find cos 295 degrees in terms of a trigonometric...
Curated Video
Logical Concepts of Consequence and Equivalence
The video explains the logical concepts of consequence and equivalence. The presenter defines logical consequence as a scenario where if Statement A is true, then it implies that Statement B is also true. The video also explains the...
Curated Video
Sketching Cubic Functions: Factorizing and Finding Intercepts
The video lecture focuses on understanding and sketching cubic functions that cannot be completely factorized. The speaker starts by reviewing the general shape of a cubic function and explaining how to identify different factorized...
Curated Video
Graph Transformations: Focus on F(x + a) + b
This video is a lecture presentation on graph transformations with a focus on F of X + A and B. The presenter explains how adding to the Y value affects the Y coordinate and causes a vertical shift, while adding to the X value affects...
Curated Video
Introduction to Natural Logarithms and Laws of Logs
This video is a presentation on natural logarithms and their relationship with exponential functions. The instructor explains that the natural logarithm is the inverse of the natural exponential function E to the power of X. The video...
Curated Video
Position Vectors and Distance between Two Points
This video is a lecture presentation on position vectors and the distance between two points. The speaker explains the use of unit vectors I and J in position vector notation and the importance of using a central reference point or...
Curated Video
Using Logarithms to Solve Equations
This video provides an introduction to using logarithms to solve equations where the variable is a power. The video explains two methods to solve such equations: the first method involves using the logarithm function on the calculator to...
Curated Video
Introduction to Basic Probability Notation and Formulas
This video provides an introduction to basic probability concepts and notation, including sets, subsets, union, intersection, and cardinality of sets. The video discusses how to calculate probability for equally likely events and...
Curated Video
Introduction to the Cosine Rule for Finding Missing Lengths and Angles in Triangles
The video is a tutorial on the cosine rule, a mathematical formula used to find missing side lengths and angles in triangles, particularly for non-right-angled triangles. The video highlights the difference between the cosine rule and...