John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Calculus

Unlocking the Power of Relative Minima: A Comprehensive Guide to Identifying and Utilizing Local Minimum Points in Calculus Optimization Problems

relative minimum When f ‘(x) changes from negative to positive, f(x) has a In calculus, a relative minimum is a point on a graph where the function...

John Rhodes
June 21, 2023
Calculus

Maximizing Function Behavior: How to Find Relative Maxima on a Graph

relative maximum When f ‘(x) changes fro positive to negative, f(x) has a A relative maximum is a point on a graph where the function has the...

John Rhodes
June 21, 2023
Calculus

Mastering Concave Up Curves in Calculus for Optimization Problems

concave up When f ‘(x) is increasing, f(x) is When a curve is described as concave up, it means that the curve is curving in the direction...

John Rhodes
June 21, 2023
Geometry

Foundations of Mathematics: Understanding the Role and Importance of Postulates

postulate a statement that is accepted as true without proof A postulate is a statement that is assumed to be true without requiring any proof. It is...

John Rhodes
June 21, 2023
Geometry

Discover the Power and Applications of Theorems in Mathematics and Beyond

Theorem a statement that can be proven A theorem is a statement or proposition that can be proven true using logical reasoning and/or mathematical proof. A theorem...

John Rhodes
June 21, 2023
Geometry

Understanding Postulate 5: The Parallel Postulate in Euclidean Geometry

Postulate 5 – a line contains at least 2 points- a plane contains at least 3 noncollinear points- Space contains 4 nonplanar points Postulate 5, also known...

John Rhodes
June 21, 2023
Geometry

Understanding the Fundamental Postulate 6 in Euclidean Geometry

Postulate 6 Through any two points there is exactly one line Postulate 6 is one of the fundamental assumptions or principles of Euclidean geometry. It states that...

John Rhodes
June 21, 2023
Geometry

Understanding Postulate 7 of Euclid’s Geometry: The Parallel Postulate and its Historical Significance

Postulate 7 through any three points there is at least one plane- through any three noncollinear points there is exactly one plane. Postulate 7 of Euclid’s geometry...