02 x 02 Worksheets
Proportions
Cut-and-paste a great activity into your lesson plans. Scholars analyze real-world problems involving proportions. To change things up a bit they cut-and-paste quantities to create a proportion on their way to solving the problems.
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Transmographer
Introducing ... the Transmographer. Young mathematicians investigate translations, reflections, and rotations. The applet lets users perform transformations on triangles, squares, and parallelograms.
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Data Flyer
Fit functions to data by using an interactive app. Individuals plot a scatter plot and then fit lines of best fit and regression curves to the data. The use of an app gives learners the opportunity to try out different functions to see...
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InteGreat!
Take a great look at integration! Young scholars use an interactive to learn how to integrate a function. Learners input a function and view the integral as well as see a graphical representation.
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Incline
Study velocity while examining graphical representations. As scholars work with the animation, they discover the effect the height of an incline has on the velocity of the biker. They make conclusions about the slope of the line in terms...
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Graphit
No graphing calculator? No worries, there's an app for that! Young mathematicians use an app to graph functions. In addition, they can also plot data points.
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Conic Flyer
Graphing conics made easy. Individuals use an interactive to graph conic sections. The app can handle circles, vertical and horizontal parabolas, ellipses, and vertical and horizontal hyperbolas.
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Polar Coordinates
Polar opposites might not work together—but polar coordinates do! The interactive provides learners the opportunity to graph trigonometric and algebraic functions using polar coordinates. The program takes either individual data points...
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Linear Inequalities
An interactive lesson helps individuals learn to graph inequalities in two variables. Scholars can adjust the interactive to present the inequalities in standard or slope-intercept form.
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Dice Table
Convert a table to probabilities. Pupils set up the winning rules for the sums of two dice. Using the rules, the applet fills out a table showing the winners for each combination. Learners determine the probabilities of winning for each...
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Life
How does life evolve? The interactive provides a simulation based on the Game of Life invented by mathematician John Conway. Users can run the applet with the preset rules and settings or adjust them to view whether overpopulation or...
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Regression
How good is the fit? Using an interactive, classmates create a scatter plot of bivariate data and fit their own lines of best fit. The applet allows pupils to display the regression line along with the correlation coefficient. As a final...
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Scatter Plot
What is the relationship between two variables? Groups work together to gather data on arm spans and height. Using the interactive, learners plot the bivariate data, labeling the axes and the graph. The resource allows scholars to create...
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Two Variable Function Pump
Use a function to operate on two variables. Pupils look at operating with complex numbers as a function of two variables. The interactive squares the input and adds a constant to it. Learners visualize the resulting output and its...
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Simple Monty Hall
What's behind door number one? A fun resource lets learners simulate the classic Monty Hall probability problem. Pupils choose a door, and after they select a losing door, they decide whether to switch or stay. Using their decisions, the...
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Buffon's Needle
Find the needle on a lined paper. Pupils run a simulation of dropping a needle on a lined paper. The probability of the needle crossing at least one line is pi/2. After each trial, the interactive displays the approximation of pi based...
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Coin Toss
Are your young mathematicians having a hard time making heads or tails of probabilities? It's no toss up—here is a resource that's sure to straighten them out! Learners run the interactive to toss a coin a different number of times....
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Overlapping Gaussians
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...
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Rabbits and Wolves
A change in a parameter can end in overpopulation. The resources gives pupils the opportunity to control the parameters of rabbits and wolves in a natural setting. Using the set parameters, the simulation runs and displays the population...
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Spread of Disease
Control the spread of a contagious disease. An applet allows pupils to run a simulation on the spread of a disease. Rules govern how the disease is spread and the length of time it takes to recover. Learners view the spread visually and...
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Two Colors Applet
Find the box with two green balls. The applet uses six balls, three green and three red, and hides them in three boxes. Pupils choose a box and click on it to reveal the color of balls inside. Using the chosen box, the simulation keeps...
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Squaring the Triangle
Teach budding mathematicians how to square a triangle with an interactive that shows a graphical proof of the Pythagorean Theorem. Pupils alter the lengths of the legs using sliders. Using the inputted lengths, the applet displays the...
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Skew Distribution
Slide the class into a skewed view. Learners alter the location of the median relative to the mean of a normal curve to create a skew distribution. They compare the curve to a histogram distribution with the same skewness.
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Normal Distribution
Does the size of the bin matter? The resource allows pupils to explore the relationship between the normal curve and histograms. Learners view histograms compared to a normal curve with a set standard deviation. Using the interactive,...