John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Statistics

Mastering Standard Deviation: Understanding and Applying Statistical Measures for Data Analysis

What is standard deviation? A value that describes how the data deviates from the mean Standard deviation is a statistical measure that calculates the amount of variation...

John Rhodes
June 21, 2023
Statistics

Understanding the implications of small standard deviation in data analysis

What happens when your standard deviation is small? The data is clustered around the mean When the standard deviation is small, it means that the data points...

John Rhodes
June 21, 2023
Statistics

Understanding Statistical Variability: The Significance of a Large Standard Deviation

What happens when your standard deviation is large? Data is spread out from the mean When the standard deviation is large, it indicates that the data points...

John Rhodes
June 21, 2023
Calculus

Understanding Limits in Calculus: Defining Limits with Epsilon-Delta Notation

Limit definition As x approaches c, (number/constant), as the values of x get arbitrarily close to c, the values of f(x) approach L, the limit (Y value...

John Rhodes
June 21, 2023
Calculus

Understanding Limits in Mathematics: Requirements for Existence and Consistency

In order for a limit to exist, what must happen? The values of f must tend to the same number L, as x approaches from either left...

John Rhodes
June 21, 2023
Calculus

Understanding Infinite Limits in Calculus: Exploring the Behavior of Functions Near Certain Points.

Infinite limits Infinite limit if as x approaches c if f(x) can be made arbitrarily large by taking x sufficiently close to c (exponentially increasing)Can be positive...

John Rhodes
June 21, 2023
Calculus

Mastering Horizontal Asymptotes in Rational Functions: A Guide to the Three Essential Rules

Three rules of horizontal asymptotes When the top degree is less than the bottom degree the asymptote is the x axisWhen they are the same degrees, divide...

John Rhodes
June 21, 2023
Calculus

Understanding Vertical Asymptotes in Mathematics: Definition, Examples, and Significance

Vertical Asmptote If one side of the limit approaches infinity usually in 1/x kind of functions, rational functionsin 1/(1-x) x=1 would be a VA In mathematics, a...