Unit Plan
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State of Michigan

Pre-K Mathematics

For Teachers Pre-K - 1st Standards
Kick-start children's education with this pre-school math unit. Offering 31 different hands-on learning activities that develop young mathematicians' pattern and shape recognition, basic number sense, and much more, this is a...
Interactive
Shodor Education Foundation

Sequencer

For Students 9th - 12th Standards
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...
Interactive
Shodor Education Foundation

Marbles

For Students 7th - 12th Standards
Grab some marbles from a bag. The applet simulates drawing marbles from a bag. Pupils determine the number of four colors of marbles in a bag and how many marbles to draw. Using information on whether order matters in the draw and if...
Interactive
Shodor Education Foundation

Data Flyer

For Students 6th - 12th Standards
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...
Interactive
Shodor Education Foundation

Conic Flyer

For Students 9th - 12th Standards
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.
Interactive
Shodor Education Foundation

Life

For Students 9th - 12th Standards
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...
Interactive
Shodor Education Foundation

Vertical Line Test

For Students 9th - 12th Standards
Connect the points to create a function. Using points given by the applet, pupils try to connect them to create a line that would pass the vertical line test. The resource keeps track of the number of sets the learner is able to identify...
Interactive
Shodor Education Foundation

Rabbits and Wolves

For Students 9th - 12th Standards
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...
Interactive
Shodor Education Foundation

Squaring the Triangle

For Students 8th - 12th Standards
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...
Interactive
Shodor Education Foundation

Caesar Cipher

For Students 9th - 12th Standards
Caesar ciphers hide secret missives. A simple interactive lets users encode and decode hidden messages. The cipher method here is the Caesar shift.
Interactive
Shodor Education Foundation

Graph Sketcher

For Students 9th - 12th Standards
Sketch graphs with the Graph Sketcher. Scholars graph functions on a coordinate plane. An interactive makes it as easy as inputting the function and clicking a button.
Interactive
Shodor Education Foundation

Box Plot

For Students 9th - 12th Standards
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,...
Interactive
Shodor Education Foundation

Experimental Probability

For Students 7th - 12th Standards
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...
Interactive
Shodor Education Foundation

Racing Game with One Die

For Students 7th - 12th Standards
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.
Interactive
Shodor Education Foundation

Crazy Choices Game

For Students 7th - 12th Standards
Wanna take a chance on which game is best? The resource provides three games of chance using multiple types of games. Games range from coin toss to cards. Choosing a type of game, pupils determine what wins and enter the theoretical...
Interactive
Shodor Education Foundation

Spinner

For Students 6th - 12th Standards
Go round and round to compare theoretical and experimental probabilities. Learners set the number of sectors and the number of spins for a spinner. Then, a table displays the experimental and theoretical probabilities of the spinner for...
Interactive
Shodor Education Foundation

Plop It!

For Students 6th - 12th Standards
Build upon and stack up data to get the complete picture. Using the applet, pupils build bar graphs. As the bar graph builds, the interactive graphically displays the mean, median, and mode. Learners finish by exploring the changes in...
Interactive
Shodor Education Foundation

Measures

For Students 6th - 12th Standards
Take a look at data from a statistical lens. An interactive allows pupils to enter data set, labeling the data including the units used. Manipulating the applet, learners select the statistics to calculate that include total, mean,...
Interactive
Shodor Education Foundation

Transmographer

For Students 8th - 12th Standards
Introducing ... the Transmographer. Young mathematicians investigate translations, reflections, and rotations. The applet lets users perform transformations on triangles, squares, and parallelograms.
Interactive
Shodor Education Foundation

Graphit

For Students 5th - 12th Standards
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.
Interactive
Shodor Education Foundation

Function Machine

For Students 6th - 9th Standards
Machines can be so helpful sometimes. A simple interactive has learners enter input values for a function machine and observe output values. These values help determine a function that represents the input-output relationship in the...
Interactive
Shodor Education Foundation

Cross Section Flyer

For Students 9th - 12th Standards
Scholars see cross sections come to life using an app to investigate cross sections of three-dimensional solids. They look at prisms, pyramids, cylinders, cones, and double cones.
Interactive
Shodor Education Foundation

Polar Coordinates

For Students 11th - Higher Ed Standards
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...
Interactive
Shodor Education Foundation

Dice Table

For Students 7th - 12th Standards
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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