 | 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. |
 | Area Parallelograms |  | Investigate how changes in the base and height of a parallelogram affect its area. |
 | Area Trapezoids |  | Investigate how changes in the base and height of a trapezoid affect its area. |
 | Area Triangles |  | Investigate how changes in the base and height of a triangle affect its 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 Area |  | Compare the area of a circle to its radius. |
 | Circle Grapher |  | Create a customized circle graph with your own data, or display a circle graph from an included set of data. |
 | Circle Ratios |  | This tool allows you to investigate the relationship between the circumference and diameter of a circle. |
 | Circle String |  | Use pieces of string to estimate the circumference of a circle. |
 | 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 card-matching game with different representations of the same numbers. |
 | Congruence Theorems |  | Explore the conditions that guarantee uniqueness of a triangle, quadrilateral or pentagon, regardless of location or orientation. |
 | 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. |
 | 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. |
 | Exploring Angle Sums |  | Construct a figure that illustrates the sum of the angles in a triangle, quadrilateral or pentagon. |
 | 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 by thinking 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 |  | Play with shapes to understand an iterative process. |
 | 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.) |
 | 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: 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 (Fixed Values) |  | Explore relationships among the weights of various objects by placing them on either side of a balance scale. (This activity is a special version of the Pan Balance - Shapes applet. It uses numbers that are friendly for primary classrooms.) |
 | 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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 | 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. |
 | Spreadsheet and Graphing Calculator |  | Use the combined features of a spreadsheet and a graphing calculator. |
 | 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. |
 | 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. |