# Video Tutorials and Links

**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

**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**BestDamnTutoring.com**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

**ACT Academy**-- free online quizzes from the official test-maker**ACT Problem sets**-- free problem sets from the official test-maker

Practice Problems

**Kuta Software**-- good free worksheets for all subjects**Interact Math**select from a wide variety of current textbooks to view the end-of-chapter practice problems, complete with worked-out solutions**California STAR released questions**

CSET Materials

**Official CSET Website**view test dates and official practice tests**Orange County Department of Education**purchase workbooks or sign up for workshops**UCI OpenCouseWare**a good set of free practice problems and tutorials

College Matriculation Practice Problems

**ELM practice problems****more ELM practice****All video solutions on YouTube****Saddleback College Matriculation****IVC Matriculation****Interact Math**direct link to their ELM prep course

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

**Math Counts**-- try the problem of the week**MathCounts Handbook**-- challenging!, try just choosing five from a page to start- Graph and print a picture on
**Desmos**! - Watch one of the following YouTube videos then write a paragraph on how you liked it and what you learned
**Five Strange and Cool Mathematics Facts by Patrick JMT****What was up with Pythagoras by Vi Hart**(only if you've studied the Pythagorean Theorem)**Doodling in Math: Spirals and Fibonnaci Sequence and Being a Plant by Vi Hart****Pi is (still) Wrong by Vi Hart**-- only if you've done trig and radian measure**Amazing Abacus****Labyrinth Logic Riddle**-- watch this clip of one of my favorite movies and explain if Sarah's logic makes sense**MathCounts Competition Video**-- these kids are amazing! watch this clip, and see if you can show work to explain their answers

- SAT Practice -- ask me for study packets
**Kutasoftware**-- select any worksheet covering either your current area or review- Khan Academy -- sign yourself up and add me as your coach
- Buy an extra textbook