John Rhodes, Math Teacher at Senioritis.io

John Rhodes
July 25, 2023
Geometry

The Power of the Contrapositive: Strengthening Arguments in Mathematics

contrapositive If not q, then not p In mathematics, the contrapositive is a logical statement that provides a way to argue the truth of an implication by...

John Rhodes
July 25, 2023
Geometry

Exploring Conjectures: The Unproven Hypotheses Guiding Mathematical Discoveries

conjecture An unproven statement that is based on observations In mathematics, a conjecture is a statement or a proposition that is believed to be true but has...

John Rhodes
July 25, 2023
Geometry

Understanding Conditional Statements in Mathematics: Exploring the if-then Relationship

conditional statement A logical statement that has two parts, a hypothesis and a conclusion; written in the form “if p, then q” A conditional statement is a...

John Rhodes
July 25, 2023
Geometry

Finding Mathematical Closure: Understanding the Importance of Conclusions in Mathematics

conclusion The “then” part of a conditional statement written in if-then form The term “conclusion” refers to the final part or resolution of an argument, discussion, or...

John Rhodes
July 25, 2023
Geometry

Understanding Biconditional Statements: Explained with Examples and Truth Table

biconditional statement A statement that contains the phrase “if and only if”; written in the form “p if and only if q” A biconditional statement, also known...

John Rhodes
July 25, 2023
Calculus

Understanding Decreasing Intervals: Analyzing Math Functions

decreasing interval where the graph has a negative slope (first derivative less than or equal to 0) inclusive interval In mathematics, a decreasing interval is a specific...

John Rhodes
July 25, 2023
Calculus

Understanding Increasing Intervals: Exploring Numbers in an Ascending Order

increasing interval where the graph has a positive slope (first derivative greater than or equal to 0) inclusive interval In mathematics, an increasing interval refers to a...

John Rhodes
July 25, 2023
Calculus

A Guide to Implicit Differentiation: Techniques for Finding Derivatives of Implicit Functions

Implicit Differentiation take derivative w/ respect to x, solve for dy/dx Implicit differentiation is a technique used in calculus to find the derivatives of functions that are...