﻿ 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. Cob Web Plot – Change variables and observe patterns from this graphing simulation. 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. Great Circle – Use a 3D globe to visualize and measure the shortest path between cities. Pattern Blocks – Use six common geometric shapes to build patterns and solve problems. Pinwheel Tiling – Construct and explore a very unusual tiling of the plane by right triangles. Platonic Solids – Identify characteristics of the Platonic Solids. Platonic Solids - Duals – Identify the duals of the platonic solids. Platonic Solids - Slicing – Discover shapes and relationships between slices of the platonic solids. Polyominoes – Build and compare characteristics of biominoes, triominoes, quadrominoes, etc. Pythagorean Theorem – Solve two puzzles that illustrate the proof of the Pythagorean Theorem. Right Triangle Solver – Practice using the Pythagorean theorem and the definitions of the trigonometric functions to solve for unknown sides and angles of a right triangle. 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. Tight Weave – Visualize the creation of the Sierpinski Carpet, an iterative geometric pattern that resembles a woven mat. 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. Triangle Solver – Practice using the law of sines and the law of cosines to solve for unknown sides and angles of a triangle. Turtle Geometry – Explore numbers, shapes, and logic by programming a turtle to move. 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. Great Circle – Use a 3D globe to visualize and measure the shortest path between cities. How High? – Try your hand at the classic Piagetian conservation of volume test. Pattern Blocks – Use six common geometric shapes to build patterns and solve problems. Bar Chart – Create a bar chart showing quantities or percentages by labeling columns and clicking on values. Box Model – Randomly selects and displays draws from a box. Box Plot – Use this tool to summarize data using a box plot graph. Coin Tossing – Explore probability concepts by simulating repeated coin tosses. Hamlet Happens – Verify that rare events happen by drawing letters from a box. Histogram – Use this tool to summarize data using a histogram graph. Loan Calculator – Explore how to pay off a loan, and how interest affects payment. Pascal's Triangle – Explore patterns created by selecting elements of Pascal's triangle. Pie Chart – Explore percentages and fractions using pie charts. Savings Calculator – Explore how savings, with or without regular deposits, grow over time. Scatterplot – Plot multiple data points in two dimensions and determine correlation. Spinners – Work with spinners to learn about numbers and probabilities. Stick or Switch – Investigate probabilities of sticking with a decision, or switching. Whammy Awards – See how using different voting schemes can result in contradictory outcomes.