Illuminations: Activities

Activities


 
Grades:

 

New! Check out our newest tool! The Dynamic Paper application allows you to create images of nets for 3‑D shapes, tessellations of polygons, number grids with any number of rows, columns, and integers, spinners with various numbers of sectors, and more! You can then create a PDF worksheet with the images you choose, or you can export the images to JPEG format for use in other applications or on the web. Check it out!

 

Your search returned these 6 highlighted activities...


Create customized activity sheets for your classroom! Nets of 3‑D shapes, tessellations, coordinate graphs, and more — all based on your input.
Simulate the spread of a wildfire using a probability applet.
Investigate rational functions and the "Light It Up" game with this interactive tool.
Use this applet to plot a set of data and determine a line of best fit.
Explore the path made by Mars in relation to the Earth.
Explore the path made by Mars in relation to the Earth, when the ratio of their orbital radii is assumed to be 3:2, and when the ratio of their time to complete one revolution is assumed to be 2:1.


...as well as these additional 65 activities...


Explore an interactive demonstration of why (a + b)2 = a2 +2ab + b2.
Create a spinner and examine the experimental and theoretical outcomes for a specified number of spins.
Investigate affine recurrence relations of the form

A(n) = b × A(n – 1) + c,   A(0) = a.

Investigate affine recurrence relations with a pre‑loaded spreadsheet.
Explore commutativity and associativity within a geometric situation.
Create a customized bar graph with your own data, or display a bar graph from an included set of data.
Create a customized box plot with your own data, or display a box plot of an included set of data.
Use color coding to represent data about the Canadian provinces and territories, including population, land area, and gas usage.
Create a customized circle graph with your own data, or display a circle graph from an included set of data.
Explore substitution ciphers by encoding and decoding text messages.
This applet will allow you to investigate savings account earnings, credit card debt, and a stock market simulation.
Compare two methods for computing pi.
Explore the conditions that guarantee uniqueness of a triangle, quadrilateral or pentagon, regardless of location or orientation.
Explore how to create and graph the various conic sections.
Divide a triangle, square, or trapezoid into smaller, less common shapes.
Investigate the quadrilaterals formed by various arrangements of diagonals.
Investigate the types of quadrilaterals that can be formed when certain restrictions are placed on the diagonals.
Students will recognize dihedral symmetry and reflections in figures and examining various symmetries.
Investigate the relationship between your height above the Earth and the distance you can see to the horizon.
Simulate water exiting a tube through a hole in the bottom, and investigate the speed at which the water flows.
Explore iteration and patterns in shapes and numbers with fractals.
Use this applet to explore fractions using the context of a bicycle and gear ratios.
Experiment with the seven classes of Frieze patterns and explore the transformations that constitute each of the seven categories.
Manipulate various geometric solids. Color the solid to investigate properties such as the number of faces, edges, and vertices.
Draw and manipulate vertex-edge graphs.
Discover where the incenter of a triangle occurs.
What point within a regular hexagon has the property that the sum of the distances to the sides is minimum?
Create a customized histogram with your own data, or display a histogram from an included set of data.
Investigate the placement of a new medical center so it is mutually convenient to three cities.
Understand and investigate lines, segments, and rays.
Create dynamic drawings on isometric dot paper. Draw figures using edges, faces, or cubes, and then shift, rotate, color, decompose, or view them in 2‑D or 3‑D.
Investigate the relationship between the area of an isosceles triangle and the length of its base.
Explore visual representations of geometric and harmonic series.
Investigate a regression line and determine the effects of adding points to a scatterplot.
Investigate the mean, median, and box-and-whisker plot for sets of data that you create.
Create reflection symmetry with a mirror.
Explore mixture problems using colored circles from two different piles.
Play several different versions of Nim against the computer.
What point within a regular octagon has the property that the sum of the distances to the sides is minimum?
Investigate the concept of equivalence by "weighing" numeric and algebraic expressions.
Shoot a pool ball so that it continually bounces off the sides of a pool table at a 45° angle until it lands in a corner.
Investigate the resulting areas when two parallel segments are constructed through a point on the diagonal of a parallelogram.
The point of intersection of chords, secants, and tangents allows for some interesting investigations. The Power of a Point tool allows for the exploration of various relationships that occur because of this point.
Carry out an interactive, geometric "proof without words" for the algebraic technique of completing the square.
Explore the relationship between theoretical and experimental probabilities.
Explore sampling distributions by drawing multiple numbers many times.
Explore various robot arm constructions, using one, two or three arms that rotate (like a rotary motor) or slide (like a hydraulic lift).
A common misconception is that when the dimensions of an object are doubled, the area is doubled, too. But this is not true! Use this applet to investigate how changes in the scale factor influence the ratio of perimeters and the ratio of areas between two figures.
Draw and cut shapes, then use slides, turns, and flips to move the cut pieces around.
Explore a soccer's players angles when kicking a ball at the goal.
Examine an interesting result when circular cans are arranged in a rectangular container.
Sketch and quantify sound using two different representations.
Explore the dynamics of a sound wave, including pitch, tone, frequency, intensity and loudness.
Explore the graphs that result when two characteristics of a square (side length, diagonal length, perimeter, area) are plotted.
Explore a geometric interpretation of the Law of Cosines.
Use color-coding to represent state information, such as population, area, and gasoline usage.
Solve the Tower of Hanoi puzzle by moving all of the disks from one peg to another.
Classify triangles in the plane by their sides and their angles.
What point within an equilateral triangle, a square, or another regular polygon has the property that the sum of the distances to the sides is minimum?
Explore the amplitude, period, and phase shift of various trigonometric functions.
Explore the growth or decline of a trout population in a restocked pond.
Simulate the effect of viewing an image through a tube.
Determine the best path for a vehicle that can't go as fast when it travels off‑road.
Adjust the magnitude and direction of a velocity vector to "drive" a car.
Adjust the magnitude and direction of a velocity vector and a wind vector to "fly" a plane.

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