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All Topics (Grades 3 - 5)

Virtual manipulatives for grades 3 - 5.

Number & Operations (Grades 3 - 5)

Abacus icon Abacus – An electronic abacus that can be used to do arithmetic.
Bar Chart icon Bar Chart – Create a bar chart showing quantities or percentages by labeling columns and clicking on values.
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 - Addition icon Color Chips - Addition – Use color chips to illustrate addition of integers.
Color Chips - Subtraction icon Color Chips - Subtraction – Use color chips to illustrate subtraction of integers.
Color Patterns icon Color Patterns – Arrange colors to complete a pattern.
Diffy icon Diffy – Solve an interesting puzzle involving the differences of given numbers.
Factor Tree icon Factor Tree – Factor numbers using a tree diagram.
Fraction Bars icon Fraction Bars – Learn about fractions using fraction bars.
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 - Naming icon Fractions - Naming – Write the fraction corresponding to the highlighted portion of a shape.
Fractions - Parts of a Whole icon Fractions - Parts of a Whole – Relates parts of a whole unit to written description and fraction.
Fractions - Rectangle Multiplication icon Fractions - Rectangle Multiplication – Visualize and practice multiplying fractions using an area representation.
Fractions - Visualizing icon Fractions - Visualizing – Illustrate a fraction by dividing a shape and highlighting the appropriate parts.
Grapher icon Grapher – A tool for graphing and exploring functions.
Hundreds Chart icon Hundreds Chart – Practice counting and visualize number patterns using a hundreds chart.
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 Arithmetic icon Number Line Arithmetic – Illustrates arithmetic operations using a number line.
Number Line Bars icon Number Line Bars – Use bars to show addition, subtraction, multiplication, and division on a number line.
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 Patterns icon Number Patterns – Discover the pattern and complete a sequence of numbers.
Number Puzzles icon Number Puzzles – Solve puzzles involving arranging numbers on a diagram so that they add up to a given value.
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.
Pie Chart icon Pie Chart – Explore percentages and fractions using pie charts.
Place Value Number Line icon Place Value Number Line – Explore place value by placing dots on number lines.
Rectangle Division icon Rectangle Division – Visualize and practice dividing numbers by using an area representation.
Rectangle Multiplication icon Rectangle Multiplication – Visualize the multiplication of two numbers as an area.
Rectangle Multiplication of Integers icon Rectangle Multiplication of Integers – Visualize and practice multiplying integers using an area representation.
Sieve of Eratosthenes icon Sieve of Eratosthenes – Relate number patterns with visual patterns.
Tangrams icon Tangrams – Use all seven Chinese puzzle pieces to make shapes and solve problems.
Venn Diagrams icon Venn Diagrams – Investigate common features of sets.

Algebra (Grades 3 - 5)

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.
Color Patterns icon Color Patterns – Arrange colors to complete a pattern.
Fifteen Puzzle icon Fifteen Puzzle – Solve this virtual version of the classical fifteen puzzle by arranging its tiles.
Grapher icon Grapher – A tool for graphing and exploring functions.
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.
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.
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.
Turtle Rectangles icon Turtle Rectangles – Change variables to observe differences in spiral designs.

Geometry (Grades 3 - 5)

Attribute Blocks icon Attribute Blocks – Learn color and shape concepts by sorting blocks.
Attribute Trains icon Attribute Trains – Learn about shape and color patterns of by completing trains of blocks.
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.
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.
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.
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 3 - 5)

Attribute Blocks icon Attribute Blocks – Learn color and shape concepts by sorting blocks.
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.
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 - Analog and Digital Clocks icon Time - Analog and Digital Clocks – Interactively set the time on a digital and analog clocks.
Time - Match Clocks icon Time - Match Clocks – Answer questions asking you to show a given time on digital and analog clocks.
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 3 - 5)

Bar Chart icon Bar Chart – Create a bar chart showing quantities or percentages by labeling columns and clicking on values.
Histogram icon Histogram – Use this tool to summarize data using a histogram graph.
Pie Chart icon Pie Chart – Explore percentages and fractions using pie charts.
Spinners icon Spinners – Work with spinners to learn about numbers and probabilities.
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