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Number & Operations (Grades 6 - 8)

Virtual manipulatives for 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.
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