Curated Video
Understanding Area Under the Curve: Estimating and Integrating with Limits
The video discusses the concept of area under the curve and the use of rectangular strips to estimate this area. It also covers the fundamental calculus theorem of calculus and how integration and differentiation can be used to find the...
Curated Video
Completing the Square: Visual Representation and Applications
The video is a lecture presentation on completing the square, a mathematical concept useful for solving quadratic equations and calculating the maximum and minimum points of a quadratic graph. The presenter explains how completing the...
Curated Video
Using Differentiation to Solve Practical Problems
This video is a tutorial on how to use differentiation to solve practical problems. It demonstrates how to find the maximum and minimum values of a function by differentiating it and setting it equal to zero, and then determining its...
Curated Video
Finding the Equation of a Straight Line
This video is a lecture presentation on how to find the equation of a straight line. The presenter explains the general equation of a straight line, which is y=mx+c, and how to interpret the coefficients m and c. Different formats for...
Curated Video
Stationary Points and Points of Inflection: Finding and Analyzing
This video is a presentation on stationary points and points of inflection. The presenter goes over how to find the stationary points and the nature of those points using the first and second derivative tests. They then move on to...
Curated Video
Introduction to Quadratic Functions and Graphs
In this video, the presenter provides an introduction to quadratic functions and graphs. They start by defining what a quadratic is and explaining the standard format of the quadratic equation. They also describe the two distinct shapes...
Curated Video
Understanding the Problem Theorem of Calculus
The video is a presentation on the problem theorem of calculus, which explains the link between integration and differentiation. The speaker begins by reviewing differentiation and integration, and how they relate to each other. The...
Curated Video
Differentiation of Polynomials and Simple Quotients
In this video, the presenter explains the concept of differentiation of polynomials and helps solve some examples using general formulas and step-by-step differentiation. The video also covers how to simplify fractions with roots and...
KnowMo
Expressing Quantities as a Percentage
This is a lecture video that explains how to express quantities as a percentage. The speaker explains the concept of percentages and how they are closely linked to fractions and decimals. They demonstrate different methods to convert a...
Curated Video
Sampling Techniques: Methods for Choosing a Representative Sample
This video is a lecture on different types of sampling techniques. The speaker explains the purpose of taking samples and the importance of having a representative sample in order to infer information about the overall population. They...
Curated Video
Understanding Populations and Samples: Importance of Representative Samples and Large Sample Sizes
This video explains the concepts of populations and samples in statistical analysis. It defines population as the overall group of interest, and sample as a subset of the population used to infer information about it. The video...
Curated Video
Stationary Points: Finding Maxima and Minima on a Graph
The video is about stationary points and how to find them using differentiation. The presenter starts by discussing the graph of a function and how to find its gradient by drawing the tangent. They then identify the stationary points as...
KnowMo
Expressing Quantities as Fractions: Tips and Examples
The video provides a tutorial on expressing one quantity as a fraction of another. The presenter explains how to decide which number is the numerator and denominator, and how to simplify fractions. The video covers examples where...
Curated Video
Solving Quadratic Equations with the Quadratic Formula
In this video, the presenter explains how to use the quadratic formula to generate answers for X. They start by showing the formula and breaking it down into its components. Then, they demonstrate how to identify the values of A, B, and...
Curated Video
Performing Binomial Expansion for Positive Integers of n
This video is a lecture presentation on how to perform binomial expansions for positive integers of n. The presenter explains how to expand binomials using Pascal's triangle and also introduces a calculator button that can be used to...
Curated Video
Using Semi-Log Graphs to Estimate Parameters for Exponential Equations
In this lecture, the speaker explains how to use the logarithmic graph to estimate parameters in the form of KB to the power of X. The speaker shows how to take the logarithm of both sides of the equation to bring X down out of the way,...
Curated Video
Cumulative Frequency Diagrams and Box and Whisker Plots: A Guide to Estimation and Visualization
This video provides a lesson on cumulative frequency diagrams and box and whisker plots. The instructor uses sample data of rhino weights to demonstrate how to calculate cumulative frequencies and plot a cumulative frequency diagram....
Curated Video
Algebraic Simplification: Addition, Subtraction, and Multiplication of Algebraic Terms
The video is a lecture presentation on algebraic simplification, focusing on addition, subtraction, and multiplication of algebraic terms. The speaker presents two functions, F of X and G of X, and demonstrates how to apply various...
Curated Video
Algebraic Division with Long Division: Polynomials Divided by Linear Expressions
This video is a lecture presentation on algebraic division, specifically using long division to divide polynomials by a linear expression. The instructor explains the cover up system and demonstrates how to use it to solve two examples -...
Curated Video
Cumulative Frequency Diagrams and Box & Whisker Plots
The video discusses cumulative frequency diagrams and box and whisker plots as tools to summarize grouped continuous data. It explains how to calculate cumulative frequencies and plot them on a diagram, allowing for estimation of the...
Curated Video
Recapping Venn Diagrams and Tree Diagrams
This is a lecture video on Venn diagrams and tree diagrams. The video starts by introducing Venn diagrams and explaining their use in visualizing sets. It then goes on to explain how to find complements, the intersection, and union of...
Curated Video
Simple Discrete Distributions and Example Questions
The video is a lecture on simple discrete distributions. It begins with an explanation of what a discrete random variable is and gives an example using rolling a 10-sided die to illustrate the probability distribution. The video then...
Curated Video
Calculating the Area of a Triangle using the Sine Rule
This video is an educational presentation on how to calculate the area of a triangle using the formula 1:2 ab sinC. The video provides a step-by-step guide on how to use the formula, including practical examples and a proof for the...
Curated Video
Functions, Domains, and Ranges: Understanding the Basics
This video explains the concept of functions, domains, and ranges. It starts by defining a function as a relation between a set of inputs and a set of outputs where each input is related to exactly one output. The video then goes on to...