| Mistake | Fix | |---------|-----| | Forgetting to check for extraneous solutions in log/radical equations | Always plug answers back into original equation. | | Mishandling negative exponents in rational functions | Rewrite as ( \frac1x^n ) before combining. | | Losing solutions when squaring both sides | Keep track: squaring can introduce false solutions. | | Confusing ( \ln(x^2) ) vs ( 2\ln x ) | Domain: ( \ln(x^2) ) works for x≠0; ( 2\ln x ) requires x>0. |
Kumon’s math program spans levels from 7A (basic counting) to Level O (calculus). Level N sits near the top—typically right after Level M (quadratic equations, factorization, and some trigonometry) and before Level O (limits, derivatives, and integrals).