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Number & Operations (Grades 9 - 12)

Virtual manipulatives for Number & Operations, grades 9 - 12.

Abacus icon Abacus – An electronic abacus that can be used to do arithmetic.
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.
Conway's Game of Life icon Conway's Game of Life – Discover the rules that determine change in these simulations.
Counting All Pairs icon Counting All Pairs – Create a path that sets up a one-to-one correspondence between the counting numbers and infinite sets of ordered pairs of integers.
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.
Fibonacci Sequence icon Fibonacci Sequence – Explore the Fibonacci sequence and the golden ratio.
Fractions - Adding icon Fractions - Adding – Illustrates what it means to find a common denominator and combine.
Fractions - Equivalent icon Fractions - Equivalent – Illustrates relationships between equivalent fractions.
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.
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.
Percentages icon Percentages – Discover relationships between fractions, percents, and decimals.
Rational Numbers Triangle icon Rational Numbers Triangle – Explore a triangular array that contains every positive rational number exactly once.
Sieve of Eratosthenes icon Sieve of Eratosthenes – Relate number patterns with visual patterns.
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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