How do degrees relate to radians? The interactive allows pupils to manipulate the size of an angle in a unit circle to help see that relationship. Users determine the radian measure for given degree measures of angles, realizing the...

How are arc lengths and radians related? An interactive resource demonstrates the relationship as pupils create arc lengths in a unit circle and compare them to the angle measurements. Questions ask individuals to build upon this...

How does a change in amplitude or period affect the equation of a sine function? Scholars move sliders to change the frequency and period of the sine function. The interactive displays the resulting equation, and pupils determine the...

Do curves slow runners down or help their speed? Pupils simulate a 200-meter dash to calculate the angular and linear velocity of a runner. They then determine whether the runner is faster around the curved section of the track...

It is all about the shift. Pupils translate the graph of a cubic function to different marked locations on the plane and determine the new equation that represents the shifts. The activity is designed to encourage individuals begin...

Change the y-intercept by adding a constant to the function. Individuals move three functions vertically along the y-axis. As they observe how the equation of the functions change with the vertical movement, learners determine how...

What does it mean to factor the difference of two squares? The interactive presents an area model of the difference of two squares. Pupils rearrange the model to create a rectangular area. The learners determine the length and width...

The nth roots of unity all have a magnitude of one. Scholars use the unit circle and DeMoivre's Theorem to find the complex roots of one and discover that the complex numbers all lie on the unit circle and are equally spaced around it...

Determine how many three-player teams you can make from five players. Pupils drag dots representing players to create a list of teams they can form with a limited number of players. They then find out the number of teams one...

Use dependency to find a birthday. Learners use an interactive to keep track of excluded potential dates of a birthday using information provided to two people about a third's birthday. Scholars then use the dependency between the dates...

Take a terminal side for a spin. Pupils use an interactive to investigate angles of rotation that share the same terminal side. Scholars create coterminal angles and calculate what other angle sizes share the same final position.

Take the tediousness out of finding solutions of inequalities by graphing. Individuals use an interactive that allows them to adjust a system of inequalities on a coordinate plane. Using the interactive helps find solutions to systems of...

Hats off to those learning about the graphs of functions. Individuals use an interactive to plot points representing profits for a hat business. They identify a quadratic equation to represent this function and answer challenge questions...

This is the ticket to learning about function rules! Using online manipulatives, scholars build a table of values and then answer questions about the related function. They examine the relationship between the input and output values and...

Painting a fence can be useful for more than just making your yard look good. A slider interactive has young mathematicians adjust the number of white fence panels. This activity helps in understanding how absolute value equations...

Optimally, you want the largest box. Given a square piece of box material, pupils determine the size of congruent squares to cut out of the corners to create a box with the greatest volume. Learners determine the equation of the volume...

Help your class develop an understanding of sigma notation. Pupils match the sigma notation with the sums. Using the expanded sums, learners evaluate the summations. The scholars move on to prove a property of sums.

Topple misunderstandings of geometric sequences. Using a context of creating ever-increasing sizes of dominoes, pupils develop a geometric sequence. The scenario provides the size of the first domino and the common ratio between...

Investigate ellipses through the lens of medical applications. Pupils use a medical scenario to determine the equation of an ellipse. By using the interactive, learners determine the foci and major and minor axes of the ellipse that...

One-to-one means the answer is simple, right? Given four graphs, pupils use a vertical line to test each graph to find out if they are one-to-one. By using the resource, learners realize that not all one-to-one relations are functions....

How many bones can a dog on a leash reach? Class members move a dog on the end of its leash and determine whether it can reach bones located at specific points. The learners see whether the bone lies on the circle or outside of the...

Boost digital citizenship with an engaging infographic that promotes the importance of being a positive digital agent, self, and interactor.

Just jump in with both feet. To better teach Java, one must think Java. The College Board built document immerses teachers in object-oriented design by providing several resources for use. Resources include teaching strategies, design...

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.