Video Tutorials and Links

More on my YouTube Page!

Algebra/Algebra 2/Precalculus

Finding Domains

Finding the domain of a composite function

Domain from a graph worksheet

Properties of Real Numbers

Properties of Real Numbers Handout

Classifying numbers: Real, Rational, etc.

Fields and Rings

Exponent Rules Explained

Zero and Negative Exponent Pattern Rationale

Absolute Value Tricky Cases: No solution and all real numbers

Piecewise Functions

Graphing Transformations Playlist

Factoring Trinomials with Guess and Check

Factoring Trinomials with Trash Method

Factoring Trinomials with Star Method

Factoring Sums/Differences of Cubes

Factoring by Grouping

Factoring Strategy

Quadratic Formula Memorization: Negative Boy Story and (livescribe formula sheet)

Long Division

Equations of Lines with point-slope form

Equations of lInes with slope-intercept form

Exponents - Abstract Worksheet

Translations Worksheet

Graphing Polynomials

Graphing Polynomials Example

Radicals Playlist

Completing the Square: slow walk-through

Completing the Square: several quick examples

Parabolas: Finding the vertex in standard form, vertex form, and intercept form

Quadratic Formula Proof

Rational Root Theorem: Listing possible zeros

Horizontal Asymptotes

Graphing basic exponential functions

Logarithm Basics: Cute animated video from TEDEd

Log Basics Worksheet with Video Solutions

Log Equations Worksheet with Video Solutions

PreCalc True/False Worksheet

Multiplying Matrices

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

Binomial Expansion (2d + 3)^5

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

Mathematical Induction



Formulas/Identities Cheat Sheet

Formulas/Identities Cheat Sheet Favorite

Unit Circle: Evaluating sin, cos, tan

Unit Circle Derivations

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

30-60-90 Triangle Examples

Unit Circle Printable from

Blank Unit Circle Printable from

Graphing Trig y = 5csc(2(x + pi/3))

Graphing Trig y = 5tan(3(x - pi/5))


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)

Derivative Playlist

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

L'Hospital's Rule Examples

Integration Riemann Sum Definition Examples

Area Between Curves

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: U-Subs

Integration: Trig Integrals

Integration: by Parts (Tabular)

Integration: Trig Subs

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

Series Tests Summary Sheet

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


Normal distributions with a z-table

Normal distributions with a calculator

Tables and Formulas Sheet

z vs. t flowchart

Sampling Methods

Calculator Program to do InvT on your TI-83


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!


Math Fact Coloring Grids

More Math Fact Coloring Grids with Percents and Decimals and Fractions

Equivalent Fractions Color by Numbers

Mad Minute Generator

Multiplication Table (Blank)

Fraction Circles for Cutting Out

Fraction worksheets

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

Math Coloring Book

Summer Readiness Packets

Algebra Readiness Test

Calculus Readiness Packet


Sheppard Software -- really fun!

Bubble Buster add to make 10 -- awesome!

Simple subtraction ski race

Coordinate Graphing Soccer -- first quadrant only

Classifying Numbers Roulette Game

Prime Number Whack-a-Mole

Addition Street Fighter -- single-digit, double-digit, multi-digit

Integer Street Fighter

Factor Fruit Ninja

Equivalent Fraction Vault

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%)

Volume of Cubes

Math Magician -- quizzes basic addition, subtraction, multiplication, and division

Free Video Tutorials

  • Khan Academy
  • Patrick JMT
  • Udacity -- Free online courses! I highly recommend their "descriptive statistics" course. Very clear explanations!!
  • That Tutor Guy -- good clear explanations; many of his videos can be found on YouTube for free or you can pay a small amount for a more comprehensive course
  • Art of Problem Solving great videos for pre-algebra, algebra, counting & probability, math counts, and more!
  • Math by Fives
  • IntegralCalc -- really well-done and entertaining calculus and pre-calculus tutorials
  • sorry for the language, but the videos are good!
  • MIT OpenCourseWare free lectures and full courses, complete with notes, written homework problems with solutions...all free! Pretty cool!
  • APStatsGuy good quick video tutorials for Statistics and AP Statistics

ACT Resources

Practice Problems

CSET Materials

College Matriculation Practice Problems

GRE Materials

Miscellaneous Awesomeness

  • Embedded Math -- Unit Circle printables
  • Dr. Math -- professors of math answer commonly asked questions in layman's terms
  • Wolfram Alpha -- type in a problem, it solves it! type in an equation, it graphs it!
  • Rate my Professor -- good teachers are what it's all about; find out what students are saying about the professors at your school
  • Geometry Constructions -- great step by step demonstrations of geometric constructions
  • Hotmath -- worked-out solutions guide for most school textbooks
  • Cramster -- yet another great worked-out solutions guide for most school textbooks
  • Online Graphing Calculator

Extra Credit - Elementary

  • BrainPop -- watch a video, then do a quiz or assessment and print the results
  • Borrow and read Math Curse -- solve three of the problems posed (challenge yourself!), or research one of the mathematicians mentioned, or write a paragraph on your favorite parts of the book and what you learned

Extra Credit - Middle School and Highschool