iMath Investigations (Illuminations)

	Adjustable Spinner - K-12 Create a spinner and examine the experimental and theoretical outcomes for a specified number of spins.
	Area Parallelograms - 6-8 Investigate how changes in the base and height of a parallelogram affect its area.
	Area Trapezoids - 6-8 Investigate how changes in the base and height of a trapezoid affect its area.
	Area Triangles - 6-8 Investigate how changes in the base and height of a triangle affect its area.
	Bar Grapher - K-12 Create a customized bar graph with your own data, or display a bar graph from an included set of data.
	Bobbie Bear - K-5 Use counting strategies to make as many outfits for Bobbie Bear as you can, using different colored shirts and pants.
	Box Plotter - 3-12 Create a customized box plot with your own data, or display a box plot of an included set of data.
	Chairs - 3-8 Explore the number of chairs needed when tables are arranged in a restaurant.
	Circle Grapher - K-12 Create a customized circle graph with your own data, or display a circle graph from an included set of data.
	Codes - 6-12 Explore substitution ciphers by encoding and decoding text messages.
	Concentration - K-5 Play a card-matching game with different representations of the same numbers.
	Cube Nets - 3-8 Examine various two-dimensional figures to determine which ones can be folded into a cube.
	Cubes - 3-5 Determine the volume of a box by filling it with cubes, rows of cubes, or layers of cubes.
	Cutting Corners - 9-12 Divide a triangle, square, or trapezoid into smaller, less common shapes.
	Electronic Abacus - K-5 Explore an abacus model for representing numbers and performing addition.
	Equivalent Fractions - 3-5 Create equivalent fractions by dividing and shading squares or circles, and match each fractions to its location on the number line.
	Exploring Angle Sums - 6-8 Construct a figure that illustrates the sum of the angles in a triangle, quadrilateral or pentagon.
	Factor Game - 3-8 Play an interactive game that exercises your factoring ability. Test your skills against a human or the computer.
	Factorize - 3-8 Divide numbers into two factors, and build arrays to represent each factorization.
	Fire - 3-12 Simulate the spread of a wildfire using a probability applet.
	Five Frame - K-12 Practice counting and adding to 10 by thinking of numbers in relation to 5.
	Flowing Through Mathematics - 9-12 Simulate water exiting a tube through a hole in the bottom, and investigate the speed at which the water flows.
	Fractal Tool - 3-12 Play with shapes to understand an iterative process.
	Fraction Game - 3-8 Explore relationships among fractions while playing this interactive game.
	Fraction Model I - 3-8 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 - 3-8 Explore different representations for fractions. (In this version, the numerator and denominator can both take values up to 20.)
	Fraction Model III - 3-8 Explore different representations for fractions. (In this version, the numerator and denominator can take values up to 100.)
	Geometric Solids - K-12 Manipulate various geometric solids. Color the solid to investigate properties such as the number of faces, edges, and vertices.
	Geometric Investigation of (a + b)2 - 9-12 Explore an interactive demonstration of why (a + b)2 = a2 +2ab + b2.
	Histogram Tool - 3-12 Create a customized histogram with your own data, or display a histogram from an included set of data.
	Interactive Geometry Dictionary: Areas in Geometry - 3-8 Understand and investigate the area of the rectangle, parallelogram and triangle.
	Interactive Geometry Dictionary: Lines in Geometry - 9-12 Understand and investigate lines, segments, and rays.
	Isometric Drawing Tool - 3-12 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.
	Light Bounce - 9-12 Investigate rational functions and the "Light It Up" game with this interactive tool.
	Line of Best Fit - 6-12 Use this applet to plot a set of data and determine a line of best fit.
	Mars Earth Orbit - Actual - 9-12 Explore the path made by Mars in relation to the Earth.
	Mars Earth Orbit - Model - 9-12 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.
	Mirror Tool - 9-12 Create reflection symmetry with a mirror.
	Pan Balance - Expressions - 3-12 Investigate the concept of equivalence by "weighing" numeric and algebraic expressions.
	Pan Balance - Numbers - 3-8 Find equivalent numerical expressions using a balance scale.
	Pan Balance - Shapes (Fixed Values) - K-8 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 - K-8 Explore relationships among the weights of various objects by placing them on either side of a balance scale.
	Paper Pool - 3-12 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.
	Patch Tool - K-5 Design a pattern using geometric shapes.
	Product Game - 3-8 Exercise your skill with factors and multiples.
	Proof Without Words: Completing the Square - 9-12 Carry out an interactive, geometric "proof without words" for the algebraic technique of completing the square.
	Proof Without Words: Pythagorean Theorem - 6-8 Watch a dynamic, geometric "proof without words" of the Pythagorean Theorem.
	Random Drawing Tool - 3-12 Explore the relationship between theoretical and experimental probabilities.
	Robot Sketcher - 9-12 Explore various robot arm constructions, using one, two or three arms that rotate (like a rotary motor) or slide (like a hydraulic lift).
	Shape Cutter - K-12 Draw and cut shapes, then use slides, turns, and flips to move the cut pieces around.
	Shape Sorter - 6-8 Sort shapes according to their properties using Venn diagrams.
	Shape Tool - 3-8 Draw, color, paste, slice, rotate, reflect, expand, and contract various shapes.
	Sound Sketch Tool - 6-12 Sketch and quantify sound using two different representations.
	Sound Wave- 9-12 Explore the dynamics of a sound wave, including pitch, tone, frequency, intensity and loudness.
	Spreadsheet and Graphing Calculator - 6-12 Use the combined features of a spreadsheet and a graphing calculator.
	Ten Frame - K-2 Practice counting and adding to 20, using frames to think of numbers in relation to 10.
	Tower of Hanoi - 6-12 Solve the Tower of Hanoi puzzle by moving all of the disks from one peg to another.
	Triangle Classification - 9-12 Classify triangles in the plane by their sides and their angles.
	Trout Population Calculator - 9-12 Explore the growth or decline of a trout population in a restocked pond.
	Tube Viewer Simulation - 9-12 Simulate the effect of viewing an image through a tube.
	Turtle Pond - K-8 Estimate length and angle measure while guiding a turtle to a pond using computer commands.
	Two Terrains - 9-12 Determine the best path for a vehicle that can't go as fast when it travels off‑road.
	Vector Investigation: Car Storm Chaser - 6-12 Adjust the magnitude and direction of a velocity vector to "drive" a car.
	Vector Investigation: Dual Vector, Airplane Storm Chaser - 6-12 Adjust the magnitude and direction of a velocity vector and a wind

ExploreMath.com

Ave Vectrix - This interactive probability game simulates a game of chance played by the Romans. The rules of the game are explained simply. There are also probability questions for students to consider.

Buffon's Needle Applet - Site takes a look at one of the oldest probability problems. It contains an Applet to simulate the dropping of a needle between two lines and calculates the estimate of pi.

Nrich: Alquerque-An Egyptian Math Game - This is a game played in Egypt as long ago as 1400 BC. It is a game of strategy where you have to think several move ahead.

Basic Algebra Games - Games to review basic algebraic concepts.

Math Cats

Math Hunt: Western Frontier - Searching through websites to find clues you need to answer the question.

Clever Games for Clever People - Games are described that can be played with common classroom materials.

Doubling Pennies - Which is more, getting one million dollars or getting one penny the first day and double it every day?

Jump Rope Math

Playing the Product Game - Review multiplication facts, multiples and factors, and problem-solving skills.

Primary ArtEdventures

	Carmine's Landscape Adventure. Learn about landscape paintings, then create three landscapes for Carmine! (Second or third grade and up) Requires Flash.
	The Land That Design Forgot. Help Carmine redesign a playground so it works well and looks good! Requires Flash.
	Architecture. Take your art to new heights with this exploration of architecture.
	Line and Shape. A rhyming exploration of these two art elements with Carmine.
	Color Let Carmine introduce you to the color wheel! In verse!
	Portraits. What is a portrait? Let Carmine explain it to you!