﻿ NLVM 9 - 12 Manipulatives

All Topics (Grades 9 - 12)

Virtual manipulatives for grades 9 - 12.

Number & Operations (Grades 9 - 12)

 Abacus – An electronic abacus that can be used to do arithmetic. 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. Conway's Game of Life – Discover the rules that determine change in these simulations. 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 – Solve an interesting puzzle involving the differences of given numbers. Dueling Calculators – Visualize a dramatic simulation of the effect of propagating rounding errors. Fibonacci Sequence – Explore the Fibonacci sequence and the golden ratio. Fractions - Adding – Illustrates what it means to find a common denominator and combine. Fractions - Equivalent – Illustrates relationships between equivalent fractions. Function Machine – Explore the concept of functions by putting values into this machine and observing its output. Golden Rectangle – Illustrates iterations of the Golden Section. Grapher – A tool for graphing and exploring functions. Mastermind – Use inference and logic to play a game and guess a hidden pattern of pegs. Number Puzzles – Solve puzzles involving arranging numbers on a diagram so that they add up to a given value. Pascal's Triangle – Explore patterns created by selecting elements of Pascal's triangle. Peg Puzzle – Win this game by moving the pegs on the left past the pegs on the right. Percentages – Discover relationships between fractions, percents, and decimals. Rational Numbers Triangle – Explore a triangular array that contains every positive rational number exactly once. Sieve of Eratosthenes – Relate number patterns with visual patterns. Tight Weave – Visualize the creation of the Sierpinski Carpet, an iterative geometric pattern that resembles a woven mat. Turtle Geometry – Explore numbers, shapes, and logic by programming a turtle to move. Venn Diagrams – Investigate common features of sets.

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