All Topics (Grades 3 - 5)

Virtual manipulatives for grades 3 - 5.

Number & Operations (Grades 3 - 5)

	Abacus – An electronic abacus that can be used to do arithmetic.
	Bar Chart – Create a bar chart showing quantities or percentages by labeling columns and clicking on values.
	Base Blocks – Illustrate addition and subtraction in a variety of bases.
	Base Blocks Addition – Use base ten blocks to model grouping in addition.
	Base Blocks Decimals – Add and subtract decimal values using base blocks.
	Base Blocks Subtraction – Use base ten blocks to model separation of groups in subtraction.
	Chip Abacus – Learn about carrying and digits using chips.
	Circle 0 – A puzzle involving adding positive and negative integers to sum to zero.
	Circle 21 – A puzzle involving adding positive and negative integers to sum to twenty one.
	Circle 3 – A puzzle involving adding positive real numbers to sum to three.
	Circle 99 – A puzzle involving adding positive and negative integers to sum to ninety nine.
	Color Chips - Addition – Use color chips to illustrate addition of integers.
	Color Chips - Subtraction – Use color chips to illustrate subtraction of integers.
	Color Patterns – Arrange colors to complete a pattern.
	Diffy – Solve an interesting puzzle involving the differences of given numbers.
	Factor Tree – Factor numbers using a tree diagram.
	Fraction Bars – Learn about fractions using fraction bars.
	Fraction Pieces – Work with parts and wholes to learn about fractions.
	Fractions - Adding – Illustrates what it means to find a common denominator and combine.
	Fractions - Comparing – Judge the size of fractions and plot them on a number line.
	Fractions - Equivalent – Illustrates relationships between equivalent fractions.
	Fractions - Naming – Write the fraction corresponding to the highlighted portion of a shape.
	Fractions - Parts of a Whole – Relates parts of a whole unit to written description and fraction.
	Fractions - Rectangle Multiplication – Visualize and practice multiplying fractions using an area representation.
	Fractions - Visualizing – Illustrate a fraction by dividing a shape and highlighting the appropriate parts.
	Grapher – A tool for graphing and exploring functions.
	Hundreds Chart – Practice counting and visualize number patterns using a hundreds chart.
	Mastermind – Use inference and logic to play a game and guess a hidden pattern of pegs.
	Money – Learn about money by counting and making change.
	Number Line Arithmetic – Illustrates arithmetic operations using a number line.
	Number Line Bars – Use bars to show addition, subtraction, multiplication, and division on a number line.
	Number Line Bars - Fractions – Divide fractions using number line bars.
	Number Line Bounce – Number line addition and subtraction game.
	Number Patterns – Discover the pattern and complete a sequence of numbers.
	Number Puzzles – Solve puzzles involving arranging numbers on a diagram so that they add up to a given value.
	Peg Puzzle – Win this game by moving the pegs on the left past the pegs on the right.
	Percent Grids – Represent, name, and explore percentages using hundreds grids.
	Percentages – Discover relationships between fractions, percents, and decimals.
	Pie Chart – Explore percentages and fractions using pie charts.
	Place Value Number Line – Explore place value by placing dots on number lines.
	Rectangle Division – Visualize and practice dividing numbers by using an area representation.
	Rectangle Multiplication – Visualize the multiplication of two numbers as an area.
	Rectangle Multiplication of Integers – Visualize and practice multiplying integers using an area representation.
	Sieve of Eratosthenes – Relate number patterns with visual patterns.
	Tangrams – Use all seven Chinese puzzle pieces to make shapes and solve problems.
	Venn Diagrams – Investigate common features of sets.

Algebra (Grades 3 - 5)

	Algebra Tiles – Visualize multiplying and factoring algebraic expressions using tiles.
	Base Blocks – Illustrate addition and subtraction in a variety of bases.
	Color Patterns – Arrange colors to complete a pattern.
	Fifteen Puzzle – Solve this virtual version of the classical fifteen puzzle by arranging its tiles.
	Grapher – A tool for graphing and exploring functions.
	Pattern Blocks – Use six common geometric shapes to build patterns and solve problems.
	Pentominoes – Use the 12 pentomino combinations to solve problems.
	Polyominoes – Build and compare characteristics of biominoes, triominoes, quadrominoes, etc.
	Space Blocks – Create and discover patterns using three dimensional blocks.
	Towers of Hanoi – Solve the tower problem and test your theory by varying the number of disks.
	Triominoes – Manipulate the puzzle pieces and find multiple solutions.
	Turtle Rectangles – Change variables to observe differences in spiral designs.

Geometry (Grades 3 - 5)

	Attribute Blocks – Learn color and shape concepts by sorting blocks.
	Attribute Trains – Learn about shape and color patterns of by completing trains of blocks.
	Congruent Triangles – Build similar triangles by combining sides and angles.
	Fractals - Iterative – Generate six different fractals.
	Fractals - Koch and Sierpinski – Change colors and pause this fractal simulation at any point.
	Fractals - Mandelbrot and Julia Sets – Investigate relationships between these two fractal sets.
	Fractals - Polygonal – Change the parameters to create a new fractal.
	Geoboard – Use geoboards to illustrate area, perimeter, and rational number concepts.
	Geoboard - Circular – Use circular geoboards to illustrate angles and degrees.
	Geoboard - Coordinate – Rectangular geoboard with x and y coordinates.
	Geoboard - Isometric – Use geoboard to illustrate three-dimensional shapes.
	Golden Rectangle – Illustrates iterations of the Golden Section.
	Ladybug Leaf – Program a ladybug to hide behind a leaf.
	Ladybug Mazes – Program a ladybug to move through a maze.
	Pattern Blocks – Use six common geometric shapes to build patterns and solve problems.
	Pentominoes – Use the 12 pentomino combinations to solve problems.
	Platonic Solids – Identify characteristics of the Platonic Solids.
	Platonic Solids - Duals – Identify the duals of the platonic solids.
	Space Blocks – Create and discover patterns using three dimensional blocks.
	Tangrams – Use all seven Chinese puzzle pieces to make shapes and solve problems.
	Tessellations – Using regular and semi-regular tessellations to tile the plane.
	Transformations - Composition – Explore the effect of applying a composition of translation, rotation, and reflection transformations to objects.
	Transformations - Dilation – Dynamically interact with and see the result of a dilation transformation.
	Transformations - Reflection – Dynamically interact with and see the result of a reflection transformation.
	Transformations - Rotation – Dynamically interact with and see the result of a rotation transformation.
	Transformations - Translation – Dynamically interact with and see the result of a translation transformation.
	Triominoes – Manipulate the puzzle pieces and find multiple solutions.
	Turtle Geometry – Explore numbers, shapes, and logic by programming a turtle to move.

Measurement (Grades 3 - 5)

	Attribute Blocks – Learn color and shape concepts by sorting blocks.
	Attribute Trains – Learn about shape and color patterns of by completing trains of blocks.
	Converting Units – Use a simple system for converting units.
	Fill and Pour – Solve puzzles requiring you to fill and pour containers.
	Geoboard – Use geoboards to illustrate area, perimeter, and rational number concepts.
	Geoboard - Circular – Use circular geoboards to illustrate angles and degrees.
	Ladybug Leaf – Program a ladybug to hide behind a leaf.
	Ladybug Mazes – Program a ladybug to move through a maze.
	Money – Learn about money by counting and making change.
	Pattern Blocks – Use six common geometric shapes to build patterns and solve problems.
	Tangrams – Use all seven Chinese puzzle pieces to make shapes and solve problems.
	Time - Analog and Digital Clocks – Interactively set the time on a digital and analog clocks.
	Time - Match Clocks – Answer questions asking you to show a given time on digital and analog clocks.
	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 – Create a bar chart showing quantities or percentages by labeling columns and clicking on values.
	Histogram – Use this tool to summarize data using a histogram graph.
	Pie Chart – Explore percentages and fractions using pie charts.
	Spinners – Work with spinners to learn about numbers and probabilities.