Articles
Guides and resources about math education.
Counting: The Multiplication Principle and Combinations
Count options without listing them. Meet the multiplication principle (multiply the choices), the order matters vs. order doesn't decision, and the combination formula that divides out the repeats — the counting shortcuts the probability guides lean on.
Probability Rules: And, Or, and Why Odds Change
Two rules run almost every probability question: AND multiplies, OR adds. Meet the formulas, see why a deck that 'remembers' makes odds change, and learn the independent-vs-mutually-exclusive trap that separates good answers from guesswork.
Probability Trees: Mapping Every Possible Outcome
A probability tree turns a messy 'what could happen?' into a tidy map of every possible outcome. Learn the two drawing rules — branches at a fork add to 1, multiply along a path — and how the tree itself does the probability work for you.
Quadratics and Parabolas: The Letter U of Algebra
A parabola is the letter U of algebra: the curved graph that appears in every thrown ball and fountain. Meet the smile-and-frown rule that 'a' controls, the vertex turning point, the mirror line, and the three places a parabola can land relative to the floor.
Systems of Equations: When Two Lines Meet
A system of equations asks one question: where do these two lines meet? Learn the three tools — graphing, substitution, and elimination — that find the shared point, the first math where two unknowns get one answer that satisfies both rules.
Slope and the Equation of a Line: y = mx + b
y = mx + b is the shortest recipe in algebra: m is how much the line tilts, b is where the line starts. Read both straight off a graph, spot the slope in road signs and hourly bills, and learn the four tilts every line can have — no formula memorization needed.