The validity of data depends on the strength of the sample. A collection of instruction and activities focuses on sampling distributions and the analysis of that data. Scholars learn about distribution tests such and Central Limit...

Organizing data in a statistics class is often a challenge. A veteran statistics teacher shares data organization tips in a lesson resource. The instructor shows how to group data to link to individual calculators in a more efficient...

Most people claim they can tell the difference between Coke and Pepsi. Scholars conduct a fun experiment to test that claim! Once learners collect their data, they analyze the results and determine if the statistics are significant.

Statistics is all about making inferences! A lesson guide explains the meaning of inferences and how to use statistics to make them. The resource provides instruction as well as information about the topic on the AP® Statistics exam. 

Why is adding variance important? A lesson outline defines a variance theorem and how it affects the data statistics. The instruction shows scholars the importance of considering the variance of data and why it requires independence.

The Hardy-Weinberg principle states that alleles and genotypes remain constant in the absence of evolutionary influences. Scholars complete a simple hands-on activity applying the Hardy-Weinberg principle to sample data. They observe how...

Mark off the length of the radius around the circle. Using a compass, the presenter shows how to construct a regular hexagon in a circle. Pupils see how triangles formed in the hexagon are equilateral, allowing for the construction to...

Determine whether it is right or not. Using the Pythagorean Theorem, the video shows how to determine whether a triangle is a right triangle. Pupils practice the skill in a few of the problems in the associated worksheets on the...

Creating a 60-degree angle also creates an equilateral triangle. By watching the video, individuals learn the steps required to construct a 60-degree angle. The presentation shows that the process is the same for constructing an...

If angles intercept the same arc, the angles must be the same size. The quick video talks through the proof of showing the reason two inscribed angles that intersect the same arc have the same measurement. Pupils then create their own...

Do the keep, change, flip dance. The resource shows that the division of algebraic fractions follows the same rules as dividing numerical fractions. Pupils understand that if they can multiply rational expressions, they can divide...

Make the complicated look relatively simple. The video shows how multiplication of algebraic fractions is easier when they factor the numerators and denominators. Pupils see which factors will cancel, or divide out, easier when writing...

Simplification is about factoring. While working with rational expressions, pupils must know how to factor. The video shows how the process of finding common factors in algebraic fractions is similar to finding common factors in...

The process requires the combination of several concepts. A video shows how individuals need several concepts to add rational expressions. Pupils must remember they need to find common denominators, combine like terms, and use the...

Get back to the basics to become an expert. The short video shows the basics of dividing algebraic expressions. Using several examples, the presenter reminds viewers of the rules of exponents when dividing. Pupils practice dividing...

The AP® exam is not just about the calculations. By reviewing the free-response questions from 2008, teachers and pupils see that several items require justifications and explanations to gain full credit. The chief reader even points out...

Move along with the review. Teachers and scholars use the six released free-response questions to review for their upcoming AP® exam. Questions from the 2006 exam contain problems dealing with cars, objects moving along a curve, and...

Differentiate between the exams. Using the Q&A document, teachers compare the free-response questions that BC test-takers see to those that AB test-takers see. The pupils see which questions come from AB content and also those that...

Given a set of questions, pupils realize the way the Calculus BC free-response exam asks questions. The items include both contextual and non-contextual questions. Both types are split into the calculator and non-calculator sections for...

There are shaded areas, particles, polar equations, oh my! Teachers use the materials to see how their pupils compare to the AP® Calculus BC exam expectations. Scholars use the released items to practice on several BC topics and become...

Where do the questions come from? Individuals examine released items and see the topics included. Teachers use the materials to see the distribution between strictly BC content and that which is shared with AB. The 2002 Calculus BC is...

Take an abbreviated look at the exam. Class members review released items to prepare for the BC exam. The released questions are the six free-response questions from the 2001 exam. Three of the items have context, while the other three...

How are concepts divided? Pupils use the AP® Calculus free-response questions to see how the exam addresses concepts. The concepts are divided into those that use calculators and others that do not. Calculator items require finding...

Get a 20/20 view of the exam. Free-response questions from the 1999 Calculus BC exam provide an insight to the exams. Pupils review the questions to see how topics show up on the test. Topics range from particle motion along a function,...