﻿ NLVM 6 - 8 Manipulatives

All Topics (Grades 6 - 8)

Virtual manipulatives for grades 6 - 8.

Number & Operations (Grades 6 - 8)

 Abacus – An electronic abacus that can be used to do arithmetic. 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 - Subtraction – Use color chips to illustrate subtraction of integers. Conway's Game of Life – Discover the rules that determine change in these simulations. Diffy – Solve an interesting puzzle involving the differences of given numbers. Dueling Calculators – Visualize a dramatic simulation of the effect of propagating rounding errors. Factor Tree – Factor numbers using a tree diagram. Fibonacci Sequence – Explore the Fibonacci sequence and the golden ratio. 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 - Rectangle Multiplication – Visualize and practice multiplying fractions using an area representation. 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. Money – Learn about money by counting and making change. Number Line Bars - Fractions – Divide fractions using number line bars. Number Line Bounce – Number line addition and subtraction game. 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. Percent Grids – Represent, name, and explore percentages using hundreds grids. Percentages – Discover relationships between fractions, percents, and decimals. Sieve of Eratosthenes – Relate number patterns with visual patterns. Spinners – Work with spinners to learn about numbers and probabilities. Tangrams – Use all seven Chinese puzzle pieces to make shapes and solve problems. 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 (Grades 6 - 8)

 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. Factor Tree – Factor numbers using a tree diagram. 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. Space Blocks – Create and discover patterns using three dimensional blocks. 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. Triominoes – Manipulate the puzzle pieces and find multiple solutions.

Geometry (Grades 6 - 8)

 Attribute Trains – Learn about shape and color patterns of by completing trains of blocks. Cob Web Plot – Change variables and observe patterns from this graphing simulation. 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. 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. 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. 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. 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. Triominoes – Manipulate the puzzle pieces and find multiple solutions. Turtle Geometry – Explore numbers, shapes, and logic by programming a turtle to move.

Measurement (Grades 6 - 8)

 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. 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. 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 - 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 6 - 8)

 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. 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.