John Rhodes, Math Teacher at Senioritis.io

John Rhodes
July 6, 2023
Geometry

Understanding Translations in Mathematics: A Comprehensive Guide to Shifting Objects without Altering Shape or Orientation

translation (or slide) In mathematics, a translation, also known as a slide, refers to moving an object or shape from one location to another without changing its...

John Rhodes
July 6, 2023
Geometry

Exploring Rigid Motions in Geometry: Translations, Rotations, and Reflections

rigid motion Rigid motion refers to a transformation that preserves the size and shape of an object Rigid motion refers to a transformation that preserves the size...

John Rhodes
July 6, 2023
Geometry

Understanding Preimage in Mathematics: Explained with Examples and Visualization

preimage In mathematics, a preimage refers to the original set of elements in the domain of a function that gets mapped to another set of elements in...

John Rhodes
July 6, 2023
Geometry

Understanding the Properties and Rules of Transformations in Geometry for Effective Shape Analysis and Spatial Relationships

transformation Transformation in mathematics refers to the process of changing the position, size, or shape of a geometric figure Transformation in mathematics refers to the process of...

John Rhodes
July 6, 2023
Calculus

Exploring the Limit as x Approaches 0 of sin(x): Understanding Sine Approximation and Formal Definition of a Limit

lim x->0 sinx = The limit as x approaches 0 of sin(x) is 0 The limit as x approaches 0 of sin(x) is 0. To see why,...

John Rhodes
July 6, 2023
Calculus

The Squeeze Theorem: Evaluating Limits by Comparing Functions

Squeeze Theorem The Squeeze Theorem, also known as the Sandwich Theorem or the Pinching Theorem, is a powerful tool used in calculus to evaluate the limit of...

John Rhodes
July 6, 2023
Calculus

The Extreme Value Theorem: Understanding Maximum and Minimum Values of Continuous Functions on Closed Intervals

Extreme Value Theorem The Extreme Value Theorem is a fundamental result in calculus that relates to the existence of maximum and minimum values of a continuous function...

John Rhodes
July 6, 2023
Calculus

Understanding the Intermediate Value Theorem: Exploring the Behavior of Continuous Functions on Closed Intervals

Intermediate Value Theorem The Intermediate Value Theorem (IVT) is a fundamental concept in calculus that describes the behavior of a continuous function on a closed interval The...