Algebra/Algebra 2/Precalculus
Finding the domain of a composite function
Properties of Real Numbers Handout
Classifying numbers: Real, Rational, etc.
Zero and Negative Exponent Pattern Rationale
Absolute Value Tricky Cases: No solution and all real numbers
Graphing Transformations Playlist
Factoring Trinomials with Guess and Check
Factoring Trinomials with Trash Method
Factoring Trinomials with Star Method
Factoring Sums/Differences of Cubes
Quadratic Formula Memorization: Negative Boy Story and (livescribe formula sheet)
Equations of Lines with point-slope form
Equations of lInes with slope-intercept form
Exponents - Abstract Worksheet
Completing the Square: slow walk-through
Completing the Square: several quick examples
Parabolas: Finding the vertex in standard form, vertex form, and intercept form
Rational Root Theorem: Listing possible zeros
Graphing basic exponential functions
Logarithm Basics: Cute animated video from TEDEd
Log Basics Worksheet with Video Solutions
Log Equations Worksheet with Video Solutions
Solving Systems of Equations with 3 Unknowns Using Elimination
Solving Systems of Equations Using Matrices and Row Reduction
Solving Systems of Equations Using Matrices and Row Reduction -- No Solution Case
Solving Systems of Equations Using Matrices and Row Reduction -- Infinite Solutions Case
Solving Polynomial Equations Using the Rational Root Theorem and another example
Solving Systems using Matrices: Gauss-Jordan Elimination/Row Reduction Example 1 Example 2, Example 3
Arithmetic and Geometric Sequence Formulas (livescribe formula sheet)
Arithmetic and Geometric Sequences and Series Example Playlist
Geometry
Parallel lines cut by a transversal
Properties of Parallelograms, Trapezoids, and Kites
Deriving formulas for surface area and volume of prisms/cylinders and pyramids/cones
Points, Lines, and Planes Worksheet and Answers
Points, Lines, and Planes Always/Sometimes/Never Problems and Answers
Points, LInes, and Planes Video Playlist
Constructions Playlist and Good Constructions Website Another Good Constructions Website
Trigonometry
Formulas/Identities Cheat Sheet
Formulas/Identities Cheat Sheet Favorite
Unit Circle: Evaluating sin, cos, tan
1-2-3 Trick for Memorization of Unit Circle
Hand Trick for Memorization of Unit Circle (website)
30-60-90 Triangles: Reasoning behind the ratios
Unit Circle Printable from EmbeddedMath.com
Blank Unit Circle Printable from EmbeddedMath.com
Graphing Trig y = 5csc(2(x + pi/3))
Graphing Trig y = 5tan(3(x - pi/5))
Calculus
Essence of Calculus playlist by youtuber 3Blue1Brown -- I highly recommend for any student going into calculus or taking calculus; beautiful visualizations
AP Calculus AB Free Response Questions College Board
AP Calculus Free Response AB Questions Organized by Topic
AP Calculus AB & BC Multiple Choice Questions 1969 - 1998 (online document)
Definition of a Derivative Playlist: Formula Reasoning and Examples
Derivatives of Trig Functions (livescribe printable of the basic trig derivatives and how to memorize them)
More Derivative Examples: Exponential functions and Logarithmic Differentiation
Fundamental Theorem of Calculus Part I: Derivative of an Integral
Graphing functions using derivatives
Related Rates Word Problems Playlist
Optimization Examples (livescribe)
L'Hospital's Rule Overview: Indeterminate Forms of a Limit
Integration Riemann Sum Definition Examples
Volumes of Solids of Revolution Disk and Washer (Slicing) Method)
Volumes of Solids (Cross Sections are squares, rectangles, semi-circles etc. perpendicular to axis)
Volumes of Revolution Calculator
Surfaces of Revolution Calculator
Integration Strategy Packet (Prof Gupta's guide)
Integration: by Parts (Tabular)
Integration: Improper intgrals
Integration Approximation: Left, Right, Midpoint Rectangles
Work Pumping Water out of Tanks Formula Reasoning (livescribe formula sheet)
Work Pumping Water out of Tanks Example Playlist
Hydrostatic Force Formula Reasoning (livescribe formula sheet)
Hydrostatic Force Example Playlist
Business Calculus Linear to Linear Rational Functions
Probability, Counting, Permutations, Combinations
Circle problems - by Art of Problem Solving
Handshake/high five problem -- by Art of Problem Solving
Combinations Introduction -- why the formula makes sense; overcounting repeats when order doesn't matter; by Art of Problem Solving
Statistics
Normal distributions with a z-table
Normal distributions with a calculator
Calculator Program to do InvT on your TI-83
SAT
These are the texts and websitesI highly recommend for SAT practice:
The Official SAT Study Guide -- A must have. These questions are most similar to those on the actual test. Other books can miss the mark by far, so be careful!
College Board -- More official practice. Free!
Khan Academy -- start a mission! keeps feeding you problems with instant feedback; gives you new ones based on how you're doing; suggests videos when you get stuck
The 32 Most Effective Math Strategies -- Easy to read with great tips. You can visit his webpage for free tips or watch his YouTube videos. Here's a link to one in which he solves a section in eight minutes. :)
Dr. John Chung's SAT Math -- Great for more practice tests!
Elementary
More Math Fact Coloring Grids with Percents and Decimals and Fractions
Equivalent Fractions Color by Numbers
Fraction Circles for Cutting Out
Scholastsic Study Jams -- Cute videos, self-tests
Misc. Awesomeness
Abacus -- amazing kids doing crazy long calculations in seconds using abacus
Proofs Without Words -- from Art of Problem Solving
Summer Readiness Packets
Games!
Sheppard Software -- really fun!
Bubble Buster add to make 10 -- awesome!
Coordinate Graphing Soccer -- first quadrant only
Classifying Numbers Roulette Game
Addition Street Fighter -- single-digit, double-digit, multi-digit
Fraction Comparing -- Timed; not much of a game, but helps get some points across
Fractions to Percents -- Timed mad-minute-like Level 2 (with decimals greater than 100%)
Math Magician -- quizzes basic addition, subtraction, multiplication, and division
Free Video Tutorials
ACT Resources
Practice Problems
CSET Materials
College Matriculation Practice Problems
GRE Materials
Miscellaneous Awesomeness
Extra Credit - Elementary
Extra Credit - Middle School and Highschool