Build a foundational understanding of exponent patterns. Young scholars manipulate the bases of exponent expressions. They discover the meaning of negative exponents through their exploration.

Help your pupils find a pattern of direct variation. Young scholars use input-output pairs to find a constant of variation and then write the equation. As they build their equations, the interactive lesson provides feedback.

Division just got a little trickier! An interactive lesson highlights the steps of dividing two rational expressions. Young scholars determine the order of the steps from a bank of possible work. 

There's nothing irrational about this lesson. Explore the process of multiplying rational expressions through discovery. A well-designed lesson has learners factor and multiply rational expressions by dragging factors to the correct...

Model inverse variation while solving a real-world problem. Young scholars use the interactive lesson to discover the pattern of inverse variation data. They then use that discovery to write and analyze an equation.

Be a hero, not a zero! Help your classes understand how to solve quadratic equations with the zero product property using an animated simulation. Using the controls, scholars manipulate the zeros and watch as the function and its factors...

Factoring patterns are not magic! Show your classes how to model the difference of two squares' factors using an area model. Learners manipulate the width and length of two squares to represent the polynomial a^2-b^2. They use the model...

Investigate polynomial factoring patterns by finding a connection to volume. As learners build a three-dimensional solid from smaller solids, they convert the visual model to a mathematical expression. Their models represent the sum of...

Investigate the process of factoring polynomials by grouping. A detailed lesson initially has learners follow a set-by-step example. They then drag terms to complete the three steps of a new problem. 

Arrange improper fractions on a number line to determine the equivalency to whole numbers. The number line starts at -4 and ends at 4, while users must turn the improper fraction into a proper fraction in order to place it on the number...

Pupils use an interactive to help visualize the right triangles needed to calculate distances between friends' houses. Individuals solve five problems on how to determine distances and comparing the distances.

If cosine is shifted, how is its equation affected? Learners manipulate the graph of cosine by moving the y-intercept to different locations on the coordinate plane. Pupils determine the new equation that models the shifts.

Practice adding whole numbers by combining the amount of fish Alice and Bob catch. As young mathematicians work through each problem, they are asked to find one more plus the amount of fish already caught. They can manipulate the...

Patterns can be shifty! Find the pattern when shifting the graph of tangent. Pupils move the graph of tangent to different locations on the coordinate plane. They observe what happens to the function and its vertical asymptotes...

Walking in the park can be good for the body and for mathematics skills. Young scholars use an interactive app to investigate the relationship between squares and square roots using a square with adjustable length. The program also...

Good fences make good gardens. Individuals use an interactive to see how angles and sides relate in a triangular-shaped garden fence. They apply the Law of Sines to find the length of the garden gate (third side of triangle) given two...

It all depends upon the terms. Pupils use the interactive table to sort polynomials. The scholars determine the names for the types of polynomials based on the number of terms.

View vector addition with a greater magnitude. The interactive provides learners with the opportunity to determine the magnitude of vectors and their resultant vectors when added. Pupils investigate the relationship between the...

Get straight answers on a curved grid. An interactive has learners apply the Law of Cosines to find the distance between two points on the polar coordinate plane. The pupils use the radii lengths and the angle between the two radii...

Find probabilities of pulling cards. Using a Venn diagram, individuals sort five cards along the rules of a game. The pupils calculate compound probabilities using the information from the diagram. Initially, the interactive provides the...

An interactive uses a candy store to involve the pupils in conditional probabilities. Learners determine probabilities as customers purchase different types of candies and the stock decreases.

The car is behind door one — no wait, it is behind door three. An interactive allows learners to visualize the Monty Hall problem. Pupils work through the probabilities of choosing the car with their first pick. Next, they determine...

And the winner is ... not always who it appears to be. An interactive gives the directions for a dice game that on the surface gives one player an advantage over the other. Pupils look closer at the possible outcomes and find the...

Wanna roll the dice? Determine whether it is a good idea to play a dice game. An interactive presents the rules for a game of dice. Pupils find the probabilities of each event and calculate the expected value of the game. They finish...