Krista King Courses

Graphing Transformations - The One Thing No One Explains

Unlock the secret to graphing transformations by understanding how every point moves, covering shifts, stretches, and reflections with clear examples.

• YouTube
• 10 minutes
• Self-Paced
• Free Video

Piecewise Functions - Why They Look Weird and How to Make Them Make Sense

Understand piecewise functions by learning to read, graph, and interpret their multiple equations and strange brackets with step-by-step guidance.

• YouTube
• 17 minutes
• Self-Paced
• Free Video

Limits - The Secret Weapon of AP Calculus and Why They Matter So Much

Discover why limits are the foundation of AP Calculus and learn key strategies for evaluating them quickly while avoiding common student mistakes in this 10-minute lesson.

• YouTube
• 10 minutes
• Self-Paced
• Free Video

Function Notation - Why It Feels Confusing and How to Finally Get It

Discover why function notation f(x) feels confusing and learn to read, understand, and use it confidently without second-guessing yourself in this clear breakdown.

• YouTube
• 10 minutes
• Self-Paced
• Free Video

Domain and Range - Your Definitive Guide for Algebra 1 to Precalculus

Master domain and range with a simple, repeatable process using the 'flashlight trick' for graphs and algebraic techniques for denominators, roots, logs, piecewise and composite functions.

• YouTube
• 27 minutes
• Self-Paced
• Free Video

How to Write Geometry Proofs: A Step-by-Step Guide for Beginners

Syllabus: 0:20 — Anatomy of a proof two-column structure + reason types 0:47 — 4 foundational rules: Diagram ≠ Evidence; Equality vs Congruence 3:49 — Reason bank starter list you can cite 4:59 — Goal tree: How to pick your next step backward planning 5:…

• YouTube
• 17 minutes
• Self-Paced
• Free Video

Taylor Series - Build Them and Know When They Work

Master Taylor series construction, convergence analysis, and error bounds through step-by-step derivations and practical applications in this comprehensive calculus tutorial.

• YouTube
• 30 minutes
• Self-Paced
• Free Video

Negative Exponents Explained

Master the fundamental rule for negative exponents and learn to simplify expressions involving fractions, variables, and various exponent rules in this comprehensive algebra tutorial.

• YouTube
• 14 minutes
• Self-Paced
• Free Video

Implicit Differentiation for AP Calculus - A Complete Guide

Master implicit differentiation techniques for AP Calculus, including finding derivatives, tangent lines, and second derivatives without isolating y.

• YouTube
• 16 minutes
• Self-Paced
• Free Video

Factoring Masterclass - From Quadratics to Cubes

Master a systematic approach to factoring polynomials from quadratics to cubes using GCF, AC method, pattern recognition, and grouping techniques in this structured workflow.

• YouTube
• 21 minutes
• Self-Paced
• Free Video

Chain Rule - The Complete Guide

Master the Chain Rule through the "Outside-Inside" structure, covering powers, roots, trig, exponential, and log functions with a simple mantra to make differentiation feel doable.

• YouTube
• 14 minutes
• Self-Paced
• Free Video

Why Matrix Multiplication Uses Rows and Columns - The Logic Explained

Understand why matrix multiplication follows the row-by-column rule through real-world analogies, compatibility checks, and practical applications in computer graphics.

• YouTube
• 14 minutes
• Self-Paced
• Free Video

Derivatives Masterclass - From Slope at a Point to the Major 4 Rules

Master derivatives through the four essential rules: Power, Product, Quotient, and Chain, plus learn to identify when derivatives fail and interpret results from graphs and tables.

• YouTube
• 19 minutes
• Self-Paced
• Free Video

What Standard Deviation Really Is - An Intuitive Guide

Understand standard deviation as a logical measure of spread by building the concept step-by-step, from typical distance to the final formula without memorization.

• YouTube
• 13 minutes
• Self-Paced
• Free Video

Multivariable Limits - The Two-Path Trap and the 4-Step Method That Always Works

Master multivariable limits with a reliable 4-step method that avoids the two-path trap and provides rigorous proofs using algebra, polar coordinates, and the Squeeze Theorem.

• YouTube
• 25 minutes
• Self-Paced
• Free Video