Math will resonate with your young artists and musicians when they learn that a mathematical formula describes a musical sound that is pleasing to our ears. Beethoven uses the certainty of mathematics to convey emotion and...

It's your birthday! But, maybe other people's, too. An illuminating video describes how to apply geometric probability distributions in real-world situations. It then reveals how probability helps explain the birthday paradox.

Learners who view this video should gain a better understanding of the difference between a geometric sequence and an arithmetic sequence. The video includes an example of each, with step-by-step instructions on how to figure out which...

Probability is all about patterns and rules. An instructive video explores the tenets of probability. It starts with basic probability, moves on to compound probability, and explores the addition and multiplication rules for...

This video shows an example of writing an algebraic equation for the pattern of blocks that grows at each iteration. Sal shows how to find the pattern by looking at the number of iterations and blocks. He then continues this example by...

Learners who view this video should gain a better understanding of the difference between a geometric sequence and an arithmetic sequence. The video includes an example of each, with step-by-step instructions on how to figure out which...

Finding patterns—seems easy enough. High schoolers learn the definition of a sequence in a concept video. Four problem videos then cover finding a particular term of a sequence given an explicit formula and identifying arithmetic...

Pair a video with your lesson on t-tests. Viewers of an informative YouTube video, the 27th part of the Crash Course Statistics series, study two sample t-tests and paired t-tests. They see which test would be appropriate for a situation...

Innocence hangs by a probability. An intriguing video discusses how statistics affect daily life, specifically in the courts. Looking at three court cases spanning several hundreds of years, the resource recounts how errors in statistics...

A statistic of interest is often affected by multiple variables. Continuing from the previous lesson in the Crash Course Statistics playlist, the instructor explains how to apply the ANOVA calculations to multiple variables that have an...

What is the probability that someone will draw the same lottery numbers two times in a row? Very small, but it can—and has—happened! Statisticians often work with very large or small numbers. The second lesson in a statistics playlist...

What went wrong?! The 23rd video in the Crash Course Statistics playlist focuses on errors that occur in hypothesis testing when using p-values. It describes Type I and Type II errors and explains how one type of error might be...

The beginning of a new set of SAT practice problems from The Official SAT Study Guide involves sequences, distribution, combinations, and geometric figures. Sal makes sure to provide thorough explanations to each problem, while...

Continuing problem 7 from the previous video, Sal takes students through what he describes as "a common SAT problem" involving geometric lines and figures. Additional problems deal with sequences, cross-multiplication, and measuring...

If the square root of negative one exists, where is it on the number line? A math video presents a geometric representation of complex numbers and the complex plane, and then compares it to the geometric representation of real...

Learners use inductive reasoning every day but might not realize it. An instructive video demonstrates that the process of inductive reasoning means searching for and identifying patterns. The instructor begins with numeric...

Practice your patterns with this colorful video. The narrator creates an ABAB pattern using hexagons and triangles. Can your class figure out what shape comes next in the sequence?

Something missing from your knowledge of sequences? Viewers of a short YouTube video learn how to find missing values in a sequence. These include arithmetic and geometric sequences, as well as patterns that do not fit either category.

If you have two feet, you have more than the average number of feet! Explore the meaning of the numbers of measures of central tendency of different data sets with the third of five lessons in a video statistics playlist. Using unique...

Ponder the problems of p-values. After reviewing p-values from the last video, the narrator explains some drawbacks of using p-values for hypothesis testing in the 22nd installment of the Crash Course Statistics series. The video...

Discover the statistics war. The 42nd video in the Crash Course Statistics series introduces how statistics have proven valuable during wartime. The resource covers the use of statistics in breaking the German code, finding U-boats, and...

You can bet on Bayes. Continuing from the previous video, scholars learn about Bayesian statistics and hypothesis testing. The 25th installment of the Crash Course Statistics series applies these concepts to continuous data and to...

What is Ramsey Theory? High schoolers view a video that opens the door to the explanation of hidden messages in patterns, and how our brains can make interpretations for things unintentionally.

Keep your knowledge of distributions in shape. An informative YouTube video describes how to analyze data using the shape of the data distribution. The seventh installment of the Crash Course Statistics series looks at normal...