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All Topics (Grades 6 - 8)

Virtual manipulatives for grades 6 - 8.

Number & Operations (Grades 6 - 8)

Abacus icon Abacus – An electronic abacus that can be used to do arithmetic.
Base Blocks icon Base Blocks – Illustrate addition and subtraction in a variety of bases.
Base Blocks Addition icon Base Blocks Addition – Use base ten blocks to model grouping in addition.
Base Blocks Decimals icon Base Blocks Decimals – Add and subtract decimal values using base blocks.
Base Blocks Subtraction icon Base Blocks Subtraction – Use base ten blocks to model separation of groups in subtraction.
Chip Abacus icon Chip Abacus – Learn about carrying and digits using chips.
Circle 0 icon Circle 0 – A puzzle involving adding positive and negative integers to sum to zero.
Circle 21 icon Circle 21 – A puzzle involving adding positive and negative integers to sum to twenty one.
Circle 3 icon Circle 3 – A puzzle involving adding positive real numbers to sum to three.
Circle 99 icon Circle 99 – A puzzle involving adding positive and negative integers to sum to ninety nine.
Color Chips - Subtraction icon Color Chips - Subtraction – Use color chips to illustrate subtraction of integers.
Conway's Game of Life icon Conway's Game of Life – Discover the rules that determine change in these simulations.
Diffy icon Diffy – Solve an interesting puzzle involving the differences of given numbers.
Dueling Calculators icon Dueling Calculators – Visualize a dramatic simulation of the effect of propagating rounding errors.
Factor Tree icon Factor Tree – Factor numbers using a tree diagram.
Fibonacci Sequence icon Fibonacci Sequence – Explore the Fibonacci sequence and the golden ratio.
Fraction Pieces icon Fraction Pieces – Work with parts and wholes to learn about fractions.
Fractions - Adding icon Fractions - Adding – Illustrates what it means to find a common denominator and combine.
Fractions - Comparing icon Fractions - Comparing – Judge the size of fractions and plot them on a number line.
Fractions - Equivalent icon Fractions - Equivalent – Illustrates relationships between equivalent fractions.
Fractions - Rectangle Multiplication icon Fractions - Rectangle Multiplication – Visualize and practice multiplying fractions using an area representation.
Function Machine icon Function Machine – Explore the concept of functions by putting values into this machine and observing its output.
Golden Rectangle icon Golden Rectangle – Illustrates iterations of the Golden Section.
Grapher icon Grapher – A tool for graphing and exploring functions.
Mastermind icon Mastermind – Use inference and logic to play a game and guess a hidden pattern of pegs.
Money icon Money – Learn about money by counting and making change.
Number Line Bars - Fractions icon Number Line Bars - Fractions – Divide fractions using number line bars.
Number Line Bounce icon Number Line Bounce – Number line addition and subtraction game.
Number Puzzles icon Number Puzzles – Solve puzzles involving arranging numbers on a diagram so that they add up to a given value.
Pascal's Triangle icon Pascal's Triangle – Explore patterns created by selecting elements of Pascal's triangle.
Peg Puzzle icon Peg Puzzle – Win this game by moving the pegs on the left past the pegs on the right.
Percent Grids icon Percent Grids – Represent, name, and explore percentages using hundreds grids.
Percentages icon Percentages – Discover relationships between fractions, percents, and decimals.
Sieve of Eratosthenes icon Sieve of Eratosthenes – Relate number patterns with visual patterns.
Spinners icon Spinners – Work with spinners to learn about numbers and probabilities.
Tangrams icon Tangrams – Use all seven Chinese puzzle pieces to make shapes and solve problems.
Tight Weave icon Tight Weave – Visualize the creation of the Sierpinski Carpet, an iterative geometric pattern that resembles a woven mat.
Turtle Geometry icon Turtle Geometry – Explore numbers, shapes, and logic by programming a turtle to move.
Venn Diagrams icon Venn Diagrams – Investigate common features of sets.

Algebra (Grades 6 - 8)

Algebra Balance Scales icon Algebra Balance Scales – Solve simple linear equations using a balance beam representation.
Algebra Balance Scales - Negatives icon Algebra Balance Scales - Negatives – Solve simple linear equations using a balance beam representation.
Algebra Tiles icon Algebra Tiles – Visualize multiplying and factoring algebraic expressions using tiles.
Base Blocks icon Base Blocks – Illustrate addition and subtraction in a variety of bases.
Block Patterns icon Block Patterns – Analyze sequences of figures using pictures, tables, plots, and graphs.
Coin Problem icon Coin Problem – Use deduction to find the counterfeit coin.
Factor Tree icon Factor Tree – Factor numbers using a tree diagram.
Fifteen Puzzle icon Fifteen Puzzle – Solve this virtual version of the classical fifteen puzzle by arranging its tiles.
Function Machine icon Function Machine – Explore the concept of functions by putting values into this machine and observing its output.
Function Transformations icon Function Transformations – Explore how simple transformations affect the graph of a function.
Grapher icon Grapher – A tool for graphing and exploring functions.
Line Plotter icon Line Plotter – Practice drawing lines through a given point having a specified slope.
Pattern Blocks icon Pattern Blocks – Use six common geometric shapes to build patterns and solve problems.
Peg Puzzle icon Peg Puzzle – Win this game by moving the pegs on the left past the pegs on the right.
Pentominoes icon Pentominoes – Use the 12 pentomino combinations to solve problems.
Point Plotter icon Point Plotter – Practice plotting ordered pairs on a graph.
Polyominoes icon Polyominoes – Build and compare characteristics of biominoes, triominoes, quadrominoes, etc.
Space Blocks icon Space Blocks – Create and discover patterns using three dimensional blocks.
Stick or Switch icon Stick or Switch – Investigate probabilities of sticking with a decision, or switching.
Towers of Hanoi icon Towers of Hanoi – Solve the tower problem and test your theory by varying the number of disks.
Triominoes icon Triominoes – Manipulate the puzzle pieces and find multiple solutions.

Geometry (Grades 6 - 8)

Attribute Trains icon Attribute Trains – Learn about shape and color patterns of by completing trains of blocks.
Cob Web Plot icon Cob Web Plot – Change variables and observe patterns from this graphing simulation.
Congruent Triangles icon Congruent Triangles – Build similar triangles by combining sides and angles.
Fractals - Iterative icon Fractals - Iterative – Generate six different fractals.
Fractals - Koch and Sierpinski icon Fractals - Koch and Sierpinski – Change colors and pause this fractal simulation at any point.
Fractals - Mandelbrot and Julia Sets icon Fractals - Mandelbrot and Julia Sets – Investigate relationships between these two fractal sets.
Fractals - Polygonal icon Fractals - Polygonal – Change the parameters to create a new fractal.
Geoboard icon Geoboard – Use geoboards to illustrate area, perimeter, and rational number concepts.
Geoboard - Circular icon Geoboard - Circular – Use circular geoboards to illustrate angles and degrees.
Geoboard - Coordinate icon Geoboard - Coordinate – Rectangular geoboard with x and y coordinates.
Geoboard - Isometric icon Geoboard - Isometric – Use geoboard to illustrate three-dimensional shapes.
Golden Rectangle icon Golden Rectangle – Illustrates iterations of the Golden Section.
Great Circle icon Great Circle – Use a 3D globe to visualize and measure the shortest path between cities.
How High? icon How High? – Try your hand at the classic Piagetian conservation of volume test.
Ladybug Leaf icon Ladybug Leaf – Program a ladybug to hide behind a leaf.
Ladybug Mazes icon Ladybug Mazes – Program a ladybug to move through a maze.
Pattern Blocks icon Pattern Blocks – Use six common geometric shapes to build patterns and solve problems.
Pentominoes icon Pentominoes – Use the 12 pentomino combinations to solve problems.
Platonic Solids icon Platonic Solids – Identify characteristics of the Platonic Solids.
Platonic Solids - Duals icon Platonic Solids - Duals – Identify the duals of the platonic solids.
Platonic Solids - Slicing icon Platonic Solids - Slicing – Discover shapes and relationships between slices of the platonic solids.
Polyominoes icon Polyominoes – Build and compare characteristics of biominoes, triominoes, quadrominoes, etc.
Pythagorean Theorem icon Pythagorean Theorem – Solve two puzzles that illustrate the proof of the Pythagorean Theorem.
Space Blocks icon Space Blocks – Create and discover patterns using three dimensional blocks.
Tangrams icon Tangrams – Use all seven Chinese puzzle pieces to make shapes and solve problems.
Tessellations icon Tessellations – Using regular and semi-regular tessellations to tile the plane.
Tight Weave icon Tight Weave – Visualize the creation of the Sierpinski Carpet, an iterative geometric pattern that resembles a woven mat.
Transformations - Composition icon Transformations - Composition – Explore the effect of applying a composition of translation, rotation, and reflection transformations to objects.
Transformations - Dilation icon Transformations - Dilation – Dynamically interact with and see the result of a dilation transformation.
Transformations - Reflection icon Transformations - Reflection – Dynamically interact with and see the result of a reflection transformation.
Transformations - Rotation icon Transformations - Rotation – Dynamically interact with and see the result of a rotation transformation.
Transformations - Translation icon Transformations - Translation – Dynamically interact with and see the result of a translation transformation.
Triominoes icon Triominoes – Manipulate the puzzle pieces and find multiple solutions.
Turtle Geometry icon Turtle Geometry – Explore numbers, shapes, and logic by programming a turtle to move.

Measurement (Grades 6 - 8)

Attribute Trains icon Attribute Trains – Learn about shape and color patterns of by completing trains of blocks.
Converting Units icon Converting Units – Use a simple system for converting units.
Fill and Pour icon Fill and Pour – Solve puzzles requiring you to fill and pour containers.
Geoboard icon Geoboard – Use geoboards to illustrate area, perimeter, and rational number concepts.
Geoboard - Circular icon Geoboard - Circular – Use circular geoboards to illustrate angles and degrees.
Great Circle icon Great Circle – Use a 3D globe to visualize and measure the shortest path between cities.
How High? icon How High? – Try your hand at the classic Piagetian conservation of volume test.
Ladybug Leaf icon Ladybug Leaf – Program a ladybug to hide behind a leaf.
Ladybug Mazes icon Ladybug Mazes – Program a ladybug to move through a maze.
Money icon Money – Learn about money by counting and making change.
Pattern Blocks icon Pattern Blocks – Use six common geometric shapes to build patterns and solve problems.
Tangrams icon Tangrams – Use all seven Chinese puzzle pieces to make shapes and solve problems.
Time - What Time Will It Be? icon Time - What Time Will It Be? – Answer questions asking you to indicate what time it will be before or after a given time period.

Data Analysis & Probability (Grades 6 - 8)

Bar Chart icon Bar Chart – Create a bar chart showing quantities or percentages by labeling columns and clicking on values.
Box Model icon Box Model – Randomly selects and displays draws from a box.
Box Plot icon Box Plot – Use this tool to summarize data using a box plot graph.
Coin Tossing icon Coin Tossing – Explore probability concepts by simulating repeated coin tosses.
Hamlet Happens icon Hamlet Happens – Verify that rare events happen by drawing letters from a box.
Histogram icon Histogram – Use this tool to summarize data using a histogram graph.
Loan Calculator icon Loan Calculator – Explore how to pay off a loan, and how interest affects payment.
Pie Chart icon Pie Chart – Explore percentages and fractions using pie charts.
Savings Calculator icon Savings Calculator – Explore how savings, with or without regular deposits, grow over time.
Scatterplot icon Scatterplot – Plot multiple data points in two dimensions and determine correlation.
Spinners icon Spinners – Work with spinners to learn about numbers and probabilities.
Stick or Switch icon Stick or Switch – Investigate probabilities of sticking with a decision, or switching.
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