 | 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. |
 | Angle Sums |  | Explore the sum of the interior angle measures for various polygons. |
 | Area Tool | | Investigate how changes in the base and height of trapezoids, parallelograms, and triangles affect their area. |
 | 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. |
 | Chairs |  | Explore the number of chairs needed when tables are arranged in a restaurant. |
 | Circle Grapher | | Create a customized circle graph with your own data, or display a circle graph from an included set of data. |
 | Circle Tool | | Compare the circumference and area of a circle to its radius and diameter. |
 | 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. |
 | Concentration |  | Play a matching game with different representations of equivalent items — match quantities to their numerals, shapes to their names, or fractions to decimals and percents. |
 | 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. |
 | Cube Nets | | Examine various two-dimensional figures to determine which ones can be folded into a cube. |
 | Cubes |  | Determine the volume of a box by filling it with cubes, rows of cubes, or layers of cubes. |
 | Cutting Corners | | Divide a triangle, square, or trapezoid into smaller, less common shapes. |
 | Cyclic Figures | | Students will recognize rotation symmetry in figures and examining various rotation symmetries. |
 | Deep Sea Duel | | Play a strategy game that requires you to select cards with a specified sum before your opponent. |
 | 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. |
 | Electronic Abacus | | Explore an abacus model for representing numbers and performing addition. |
 | Equivalent Fractions | | Create equivalent fractions by dividing and shading squares or circles, and match each fractions to its location on the number line. |
 | Factor Game | | Play an interactive game that exercises your factoring ability. Test your skills against a human or the computer. |
 | Factorize | | Divide numbers into two factors, and build arrays to represent each factorization. |
 | Five Frame |  | Practice counting and adding to 10, using frames to think of numbers in relation to 5. |
 | 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. |
 | Fraction Game | | Explore relationships among fractions while playing this interactive game. |
 | Fraction Model I | | Explore different representations for fractions. (In this version, the numerator is restricted to values from 0 to 20, and the denominator is limited to benchmark values of 1, 2, 4, 5, 8, 10 and 20.) |
 | Fraction Model II | | Explore different representations for fractions. (In this version, the numerator and denominator can both take values up to 20.) |
| Fraction Model III | | Explore different representations for fractions. (In this version, the numerator and denominator can take values up to 100.) |
 | 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. |
 | How Many Under the Shell | | Explore addition and subtraction relationships with Okta. |
 | Interactive Geometry Dictionary: Areas in Geometry | | Understand and investigate the area of the rectangle, parallelogram and triangle. |
 | 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. |
 | Pan Balance - Numbers | | Find equivalent numerical expressions using a balance scale. |
 | Pan Balance - Shapes |  | Explore relationships among the weights of various objects by placing them on either side of a balance scale. |
 | 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. |
 | Patch Tool | | Design a pattern using geometric shapes. |
 | 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. |
 | Primary Krypto | | Use five number cards and arithmetic operations to create the "target" number in this fun math game. |
 | Product Game | | Exercise your skill with factors and multiples. |
 | Proof Without Words: Completing the Square | | Carry out an interactive, geometric "proof without words" for the algebraic technique of completing the square. |
 | Proof Without Words: Pythagorean Theorem | | Watch a dynamic, geometric "proof without words" of the Pythagorean Theorem. |
 | 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. |
 | Shape Sorter | | Sort shapes according to their properties using Venn diagrams. |
 | Shape Tool | | Draw, color, paste, slice, rotate, reflect, expand, and contract various shapes. |
 | 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. |
 | Ten Frame | | Practice counting and adding to 20, using frames to think of numbers in relation to 10. |
 | Tessellation Creator | | Create patterns to cover the screen using regular polygons. |
 | Times Table | | Practice multiplying single-digit numbers with this interactive multiplication table. |
 | 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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 | Volt Meter | | Use the voltage of batteries to explore positive and negative numbers. |
