Useful Online Resources Available at No Cost ~ NOTE: Some Illuminations games require you to click "Run" on a popup before the game will start.
Algebra Activity Sites 

Algebraic TransformationsExplore commutativity and associativity within a geometric situation

Pan Balance—ExpressionsInvestigate the concept of equivalence by "weighing" numeric and algebraic expressions. 
Pan Balance—NumbersFind equivalent numerical expressionsusing a balance scale. 

Find equivalent numerical expressionsusing a balance scale 
Explore relationships among weights of various objects by placing them on either side of a balance scale 
Some problems require the aid of a calculator, while others encourage the learner to work the problem "on paper." 

Counting/Number Activity Sites 

Use counting trategies to make as many outfits for Bobbie Bear as you can, using different colored shirts and pants. 
Explore the number of chairs needed when tables are arranged in a restaurant. 
Explore an abacus model for representing numbers and performing addition. 

Operations Activity Sites 

Around the World in 80 Seconds Help Maggie fly around the world. Pick addition, subtraction, multiplication, division or a mix of all four.

Help rescue Maggie's dog, who is trapped on a rooftop! You can rescue him by answering addition, subtraction, multiplication, division. 
Use five number cards andarithmetic operationsto create the "target" number in this fun math game. 

A game that exercises yourfactoring ability. Test your skills against a human or the computer. 
Divide numbers into two factors, and build arrays to represent each factorization. 
Exercise your skill with factors and multiples. 

Practice multiplying singledigit numberswith this interactive multiplication table. 
Order of Operations with Integers This is a set of integer operations that involve combinations of addition, subtraction, multiplication, and division. 

Flashcards for Basic Arithmetic Flashcards for alloperations, organized by level. 
Operations with Signed Numbers Use these "flash cards" to work with an endless list of signednumber problemsaddition, subtraction, multiplication, and division of both positive and negative numbers. 

Play a strategy game that requires you to select cards with a specified sum before your opponent. 
A complete set of activities featuring arithmetic operations with whole numbers. 
This is a complete set of endless drills with decimal arithmetic. 


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. 
Create equivalent fractions by shading squares and circles.


Fractions, Fractions, Fractions This is version 2.0 of the popular fractions "flash cards." Fractions are learned by looking at a lot of examples and they are mastered by doing a lot of problems. 

Use this applet to explore fractions using the context of a bicycle and gear ratios. 

Practice percent problems, converting between decimals and percents, and determining parts and rates 
Explore relationships among fractions while playing this interactive game. 
Explore different representations for fractions. 

Geometry Activity Sites 

Explore the sum of the interior angle measures for various polygons. 
Shoot a pool ball so that it continually bounces off the sides of a pool table at a 45°angle. 
Investigate how changes in the base and height of trapezoids, parallelograms, and triangles affect their area. 

Interactive Geometry Dictionary: Areas in Geometry Understand and investigate the area of the rectangle, parallelogram and triangle. 
Compare thecircumference and areaof a circle to its radius and diameter. 
Explore iteration and patterns in shapes and numbers with fractals. 

Manipulate various geometric solids. Color the solid to investigate properties such as the number of faces, edges, and vertices. 
Estimate length and angle measure while guiding a turtle to a pond. 
Design a pattern using geometric shapes. 

Compare two methods for computing pi. 
Proof Without Words: Pythagorean Theorem Watch a dynamic, geometric "proof without words" of the Pythagorean Theorem. 

Use this applet to investigate how changes in the scale factor influence the ratio of perimeters and the ratio of areasbetween two figures. 
Draw and cut shapes, then use slides, turns, and flips to move the cut pieces around.

Sort shapes according to their properties using Venn diagrams.


Draw, color, paste, slice, rotate, reflect, expand, and contract various shapes.

Create patterns to cover the screen using regular polygons.

Examine various twodimensional figures to determine which ones can be folded into a cube. 

Determine the volume of a box by filling it with cubes, rows of cubes, or layers of cubes. 


Graphing Activity Sites 

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. 
Create a customized circle graph with your own data, or display a circle graph from an included set of data. 

Use colorcoding to represent state information, such as population, area, and gasoline usage.

Here is a selection of graphic activities, from plotting points to plotting linear equations.

Create a customized histogram with your own data, or display a histogram from an included set of data. 

Create dynamic drawings on isometric dot paper. Draw figures using edges, faces, or cubes, and then shift, rotate, color, decompose, or view them in 2D or 3D. 
Use this applet to plot a set of data and determine a line of best fit.

Investigate a regression line and determine the effects of adding points to a scatterplot.


Investigate the mean, median, and boxandwhisker plot for sets of data that you create.



Time, Speed, and Distance Activity Sites 

Investigate the relationship between your height above the Earth and the distance you can see to the horizon. 
Sketch and quantify sound using two different representations.

Vector Investigation: Boat to the Island Adjust the magnitude and direction of a velocity vector to "drive" a boat. 

Vector Investigation: Dual Vector, Airplane Storm Chaser Adjust the magnitude and direction of a velocity vector and a wind vector to "fly" a plane. 
Word Problems: Time, Speed, and Distance



Probability Activity Sites 

Simulate the spread of a wildfire using aprobability applet.

Create a spinner and examine the experimental and theoretical outcomes for a specified number of spins.

Random Drawing Tool—Individual Trials Explore the relationship between theoretical and experimental probabilities.


General Math Skills Activity Sites 

Cool Math (Grades K12) 

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