 | A Geometric Investigation of (a + b)2 |  | Explore an interactive demonstration of why (a + b)2 = a2 +2ab + b2. |
 | Adjustable Spinner |  | Create a spinner and examine the experimental and theoretical outcomes for a specified number of spins. |
 | Affine Recurrence Plotter |  | Investigate affine recurrence relations of the form
A(n) = b × A(n – 1) + c, A(0) = a.
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 | Affine Recurrence Spreadsheet | | Investigate affine recurrence relations with a pre‑loaded spreadsheet. |
 | Algebraic Transformations | | Explore commutativity and associativity within a geometric situation. |
 | Bar Grapher | | Create a customized bar graph with your own data, or display a bar graph from an included set of data. |
 | Box Plotter |  | Create a customized box plot with your own data, or display a box plot of an included set of data. |
 | Canada Data Map | | Use color coding to represent data about the Canadian provinces and territories, including population, land area, and gas usage. |
 | Circle Grapher | | Create a customized circle graph with your own data, or display a circle graph from an included set of data. |
 | Codes | | Explore substitution ciphers by encoding and decoding text messages.
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 | Compound Interest Simulator | | This applet will allow you to investigate savings account earnings, credit card debt, and a stock market simulation. |
 | Computing Pi | | Compare two methods for computing pi. |
 | Congruence Theorems | | Explore the conditions that guarantee uniqueness of a triangle, quadrilateral or pentagon, regardless of location or orientation. |
 | Conic Section Explorer | | Explore how to create and graph the various conic sections. |
 | Cutting Corners | | Divide a triangle, square, or trapezoid into smaller, less common shapes. |
 | Diagonals to Quadrilaterals I | | Investigate the quadrilaterals formed by various arrangements of diagonals. |
 | Diagonals to Quadrilaterals II | | Investigate the types of quadrilaterals that can be formed when certain restrictions are placed on the diagonals. |
 | Dihedral Figures | | Students will recognize dihedral symmetry and reflections in figures and examining various symmetries. |
 | Distance to Horizon | | Investigate the relationship between your height above the Earth and the distance you can see to the horizon. |
 | Flowing Through Mathematics | | Simulate water exiting a tube through a hole in the bottom, and investigate the speed at which the water flows. |
 | Fractal Tool | | Explore iteration and patterns in shapes and numbers with fractals. |
 | Free Ride | | Use this applet to explore fractions using the context of a bicycle and gear ratios. |
 | Frieze Patterns | | Experiment with the seven classes of Frieze patterns and explore the transformations that constitute each of the seven categories. |
 | Geometric Solids | | Manipulate various geometric solids. Color the solid to investigate properties such as the number of faces, edges, and vertices. |
 | Graph Creator | | Draw and manipulate vertex-edge graphs. |
 | Half Angle | | Discover where the incenter of a triangle occurs. |
 | Hexagon Island | | What point within a regular hexagon has the property that the sum of the distances to the sides is minimum?
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 | Histogram Tool | | Create a customized histogram with your own data, or display a histogram from an included set of data. |
 | Hospital Locator | | Investigate the placement of a new medical center so it is mutually convenient to three cities. |
 | Interactive Geometry Dictionary: Lines in Geometry | | Understand and investigate lines, segments, and rays. |
 | Isometric Drawing Tool | | 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. |
 | Isosceles Triangle Investigation | | Investigate the relationship between the area of an isosceles triangle and the length of its base. |
 | Limits | | Explore visual representations of geometric and harmonic series. |
 | Linear Regression I | | Investigate a regression line and determine the effects of adding points to a scatterplot. |
 | Mean and Median | | Investigate the mean, median, and box-and-whisker plot for sets of data that you create. |
 | Mirror Tool | | Create reflection symmetry with a mirror. |
 | Mixtures | | Explore mixture problems using colored circles from two different piles. |
 | Nim Games | | Play several different versions of Nim against the computer. |
 | Octagon Island | | What point within a regular octagon has the property that the sum of the distances to the sides is minimum? |
 | Pan Balance - Expressions | | Investigate the concept of equivalence by "weighing" numeric and algebraic expressions. |
 | Paper Pool | | 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. |
 | Parallelogram Exploration Tool | | Investigate the resulting areas when two parallel segments are constructed through a point on the diagonal of a parallelogram. |
 | Power of a Point | | 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. |
 | Proof Without Words: Completing the Square | | Carry out an interactive, geometric "proof without words" for the algebraic technique of completing the square. |
 | Random Drawing Tool - Individual Trials | | Explore the relationship between theoretical and experimental probabilities. |
 | Random Drawing Tool - Sampling Distribution | | Explore sampling distributions by drawing multiple numbers many times. |
 | Robot Sketcher | | Explore various robot arm constructions, using one, two or three arms that rotate (like a rotary motor) or slide (like a hydraulic lift).
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 | Scale Factor | | 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. |
 | Shape Cutter | | Draw and cut shapes, then use slides, turns, and flips to move the cut pieces around. |
 | Soccer Problem | | Explore a soccer's players angles when kicking a ball at the goal. |
 | Soda Cans | | Examine an interesting result when circular cans are arranged in a rectangular container. |
 | Sound Sketch Tool | | Sketch and quantify sound using two different representations. |
 | Sound Wave | | Explore the dynamics of a sound wave, including pitch, tone, frequency, intensity and loudness. |
 | Square Graphs | | Explore the graphs that result when two characteristics of a square (side length, diagonal length, perimeter, area) are plotted. |
 | Squares on a Triangle | | Explore a geometric interpretation of the Law of Cosines. |
 | State Data Map | | Use color-coding to represent state information, such as population, area, and gasoline usage. |
 | Tower of Hanoi | | Solve the Tower of Hanoi puzzle by moving all of the disks from one peg to another. |
 | Triangle Classification | | Classify triangles in the plane by their sides and their angles. |
 | Triangle Island | | 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? |
 | Trigonometric Graphing | | Explore the amplitude, period, and phase shift of various trigonometric functions. |
 | Trout Population Calculator | | Explore the growth or decline of a trout population in a restocked pond. |
 | Tube Viewer Simulation | | Simulate the effect of viewing an image through a tube. |
 | Two Terrains | | Determine the best path for a vehicle that can't go as fast when it travels off‑road. |
 | Vector Investigation: Car Storm Chaser | | Adjust the magnitude and direction of a velocity vector to "drive" a car.
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 | Vector Investigation: Dual Vector, Airplane Storm Chaser | | Adjust the magnitude and direction of a velocity vector and a wind vector to "fly" a plane.
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