Pillar Guides

The Library

Every guide on this site — study methods, test prep, resource rankings, and exam-season playbooks.

Resource Picks

The Best Free Math Resources of 2026 (Ranked)

Hand-ranked list of the best free math videos, courses, and practice sites — from Khan Academy basics to 3Blue1Brown deep-dives and MIT OpenCourseWare full lecture series.

14 min read·easy

Test Prep

The AP Calculus Prep Path: From Algebra II to a 5

Step-by-step study plan for AP Calculus AB and BC — prerequisites, recommended textbooks, weekly study schedule, and the practice strategy that earns 5s.

18 min read·medium

Digital SAT Math Strategy (2026)

Section-by-section breakdown of the Digital SAT math module — adaptive scoring, time per question, calculator usage, and the 5 question types that cover most of the test.

14 min read·medium

Tools & Calculators

Graphing Calculator Buying Guide 2026

Which graphing calculator to buy for SAT, AP exams, college math, and engineering — TI-84 vs TI-Nspire vs Casio Prizm vs HP Prime, with allowed-list details.

10 min read·easy

Study Methods

How to Study Math Effectively (Cognitive Science Edition)

Evidence-based study techniques for math — spaced repetition, active recall, interleaving, and the worked-example effect. What the research actually says, and what to ignore.

12 min read·easy

Mental Math Tricks Worth Memorising

The 15 mental math shortcuts that pay off on the SAT, the GRE, and everyday life — squaring numbers ending in 5, multiplying by 11, percentage flips, and more.

8 min read·easy

Topic Mastery

The 12 Most Common Math Mistakes (and How to Stop Making Them)

Sign errors, exponent flubs, distribution slips, and the other 9 mistakes that cost most students 5-15% of their grade — with fixes drawn from how strong students avoid them.

10 min read·easy