Albert Einstein said, "If you can't explain it simply, you don't understand it well enough." I strongly believe that simple is better than complex. Simple is harder to achieve. I go out of my way to simplify subjects.
These are my notes created after giving the same lesson 4-5 times in one week. I am lazy and would rather provide a cheat sheet to my students than to write it all down once more. I include PDF documents so students can freely access them on their mobile devices. I include Microsoft Word documents so teachers can easily modify them to suit their needs.
Basic Math | ||
Harold's Times Tables | Docx | My 25 x 25 multiplication table with practice sheet and tips |
Algebra | ||
Harold's Parent Functions Cheat Sheet | Docx | My parent functions and their inverses for algebra, trig and the conics |
Harold's Finances Cheat Sheet | Docx | My basic financial equations for compounded interest and computing loan payments |
Geometry | ||
Harold's Geometry Cheat Sheet | Docx | Parallel Lines with Traversals |
Pre-Calculus | ||
Harold's Trigonometry Cheat Sheet | Docx | My trig supplement to Paul's Online Notes |
Harold's Trig Proofs Cheat Sheet | Docx | My proofs of three (3) trig formulas that allow us to easily derive ALL the trig formulas |
Harold's Precalculus Cheat Sheet | Docx | My rectangular, polar, and parametric coordinate equations for conics sections |
Harold's Exponential Growth and Decay Cheat Sheet | Docx | My natural growth and decay formulas used in finance, radioactive decay half-lifes, and biology growth |
Harold's Illegals and Graphing Rationals Cheat Sheet | Docx | My list of common illegal math operations and tips on graphing P(x)/Q(x) |
Harold's Series Cheat Sheet | Docx | My arithmentic and geometric series, permutations, and combinations formulas |
Harold's TI-84 Grid for Parametric Art | Docx | My template for creating parametric art on a TI-84 calculator |
Calculus | ||
Harold's Fundamental Theorem of Calculus Cheat Sheet | Docx | My attempt to make the Fundamental Theorems of Calculus easy to understand |
Harold's Calculus Notes Cheat Sheet | Docx | My list of all of the main formulas and techniques for AP Calculus BC |
Harold's Calculus BC Cheat Sheet | Docx | My rectangular, polar, and parametric coordinate equations for conics and the calculus |
Harold's Business Calculus Cheat Sheet | Docx | Minimum equations you must memorize for business calculus |
Harold's Partial Fractions Cheat Sheet | Docx | My partial fractions expansion tips and integration example |
Harold's Series Convergence Tests Cheat Sheet | Docx | My sequences and series convergence and divergence tests on 1 page |
Harold's Taylor Series Cheat Sheet | Docx | My Maclaurin and Taylor Series with many examples |
Harold's Calculus 3 Cheat Sheet | Docx | My rectangular, cylindrical, spherical, parametric, vector and matrix equations for conics and 3D calculus |
Harold's Center of Mass Cheat Sheet | Docx | My Center of Mass in 1-D, 2-D, and 3-D for both Discrete and Continuous |
Physics | ||
Harold's Word Problems Cheat Sheet | Docx | My modified GUESS method for solving physics and word problems |
Harold's Physics Cheat Sheet | Docx | My physics equations organized to show similarities |
Harold's Physics of Projectiles Cheat Sheet | Docx | My classic kinematic solution of a cannon ball's trajectory |
Harold's Physics Kinematic Graphs Cheat Sheet | Docx | My using graphs to determine position, velocity and acceleration |
Harold's Physics of Forces Cheat Sheet | Docx | My forces on an inclined plane solution |
Harold's Electromagentic Spectrum Cheat Sheet | Docx | My electromagnetic spectrum with light and radio waves |
Harold's Physics Optics Cheat Sheet | Docx | My physics diagrams for concave lenses, convex lenses, and convex mirrors |
Harold's Physics Doppler Effect Cheat Sheet | Docx | My doppler effect of both sound and light |
Harold's Center of Mass Cheat Sheet | Docx | My Center of Mass in 1-D, 2-D, and 3-D for both Discrete and Continuous |
Statistics | ||
Harold's Statistics Cheat Sheet | Docx | My AP Stats formulas with mean, variance, and statistical inference |
Harold's Statistics PDFs Cheat Sheet | Docx | My discrete and continuous Probability Distribution Functions (PDFs) |
Harold's Statistics Hypothesis Testing Cheat Sheet | Docx | My Hypothesis Testing made simple |
Harold's Probability Cheat Sheet | Docx | My compilation of common probability formulas |
Discrete Math | ||
Harold's Boolean Algebra Cheat Sheet | Docx | Boolean algebra, logic gates, truth tables |
Harold's Flip-Flop Cheat Sheet | Docx | S-R, D, J-K, and T Flip-Flops |
Harold's Set Notation Cheat Sheet | Docx | Set Notation with Examples |
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Last updated 11 November 2020