Page 6 of 13 · 76 explainers
Knowledge base
More explainers from the knowledge base. Each one names what you need to know first, works through the method, and says where it usually goes wrong.
Examples Basic MathSquare Root Examples: 10 Worked ProblemsTen roots, ordered so each adds one difficulty. The last three are where surds stop being arithmetic and start being algebra.
Concept Basic MathWhat Is a Square Root? Perfect Squares and SurdsA square root undoes squaring. Everything awkward about them comes from the fact that squaring throws away the sign.
Mistakes Algebra5 Common Factoring Mistakes and How to Catch ThemEvery one of these is caught by expanding the answer. Ten seconds, and it tests the result rather than the search.
Examples AlgebraFactoring Examples: 10 Worked ProblemsTen expressions, ordered so each one needs exactly one method more than the last.
Concept AlgebraWhat Is Factoring? Products and Why They MatterFactoring turns a sum into a product. That sounds cosmetic, and it is the reason a whole class of equations becomes easy.
Application CalculusWhat Derivatives Are Used For in PracticeA derivative answers one question — how fast is this changing right now — and that question turns out to be most of applied mathematics.