What information can come from a box? Learners choose a data set to display as a box plot and decide whether to include the median in the calculation of the quartiles, show the outliers, and change the scale. To finish the lesson,...

Pupils roll a die to figure out which car advances on a race track. They determine the rules for each car moving forward and, given the statistics of the winner, compare if it matches their predictions.

Adjust the overlap to compare probabilities. Using sliders, learners adjust the shape of two Gaussian curves. The interactive calculates the area of the left tail for one curve and the right tail for the other. Pupils set the interactive...

Spin into a dicey experiment. Pupils use a spinner or a pair of dice to determine the experimental probabilities of each outcome. The interactive allows for either, one, five, or ten consecutive experiments. Using the applet, learners...

Take the first step into graphing sequences. Learners set the starting number, multiplier, add-on, and the number of steps for a sequence. Using the inputs, the interactive calculates and plots the sequence on the coordinate plane. Users...

What does the graph mean? Pupils view 10 graphs and determine whether they are possible based on their contexts. The contexts are distance versus time and profit versus time.

It's time to practice 2-digit subtraction up to 20 the fun way. Learners solve a grid full of subtraction problems and then color each square the appropriate color according to the key. The final picture: a turkey!

What's the mystery picture? Pupils solve the subtraction problems in each square. Then they use the key at the bottom to determine the color of the square. 

Does the accuracy of the first guess make a difference down the line? Learners investigate the effects of the iterative process of finding roots, using Newton's Method. By moving the initial guess of a root on a graph, pupils observe the...

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...

Graphically find the derivative of sin(x). Using the interactive, pupils graph the slope of the tangent line to the sine function. Class members use the resulting graph to determine the derivative of the sine function. They verify their...

Estimating a square root is as easy as evaluating a linear equation. Using the derivative of the square root function, pupils calculate an estimation of square roots. Class members determine the equation of the tangent line at the value...

Use an iterative process to find an approximation of a square root. Pupils use the interactive to find an approximation to find the positive root of a quadratic function with Newton's method. With the graphs, learners position the...

If you want more pumpkin seeds, you should get a bigger pumpkin—right? Young harvesters use estimation skills to make a hypothesis about how many seeds they will find in a pumpkin before examining the real number inside.

Light the Halloween festivities with an exercise that connects math, physical science, and language arts. After watching a demonstration of a burning candle, learners use division, multiplication, or algebra to determine how many boxes...

How big is the biggest pumpkin you've ever seen? Did it weigh over a ton—literally? Young learners view pictures of some record-breaking pumpkins, including some that weighed over 1,300 pounds, before answering five word problems about...

Learn to find the slope through a single point. The interactive provides a visualization of how to find the slope of a tangent line. With the aid of the visualization, pupils see the definition of the derivative in action. Class members...

How can you determine the rate of change on a curve? Pupils use the interactive to discover what happens with the average rate of change as the point move closer to the other. Using the definition of the derivative, learners find that it...

Does the value exist? The interactive allows pupils to visualize the Intermediate Value Theorem. Using the visualization, individuals respond to questions using specific values and general values. The class comes to the conclusion what...

What number does 6 tens and 16 ones represent? How is it different from or similar to the number that 7 tens and 6 ones represent? This is the type of questions learners are asked to solve as a way to understand the concept of regrouping.

Here, second graders are tasked to find the patterns that have an even number of tiles. They are asked to think about why these patterns are even or odd and explain how they know.

First, add each set of fractions with unlike denominators. Then, compare their sums with the symbols <, >, or =. 

Explore the measures of central tendency through a challenging task. Given values for the mean, median, mode, and range, collaborative groups create a set of data that would produce those values. They then critique other answers and...

Discover relationships between linear and nonlinear functions. Initially, a set of data seems linear, but upon further exploration, pupils realize the data can model an infinite number of functions. Scholars use multiple representations...