Polypad – Virtual Manipulatives – Mathigon (2022)

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What’s New on Polypad


  • Ability to to set a scale factor for polygons.
  • Combine multiple advanced settings toggles into two dropdowns for "Layer" and "Interactivity".
  • Prevent student accounts from moving, copying or deleting question field inputs.
  • Increased limited for fraction bar and number grid sizes.


  • YouTube Summary
  • Aggregate tabulate the results from probability tiles using replace, cumulative or time series options.
  • Resize algebra tiles for x and y.
  • Split, merge and organise options for number cards.
  • Consistent colouring for number cards, number tiles and multiplication grids.


  • Degrees label when rotating tiles.
  • New shortcuts for creating charts from tables.
  • New shortcut to fill a number frame with counters.
  • Pan the canvas while holding the shift key, without having to switch tools.


  • YouTube Summary
  • New currency coin tiles for USD, EUR and GBP.
  • New random number generator tile with many different discrete and continuous distributions.
  • Support fractional and percentage increments for number lines and coordinate axes, as well as multiples of π.
  • Size labels for number tiles (which can be disabled in the advanced tile settings).
  • Significantly increased the supported number of connecting cables between tiles.
  • New keyboard shortcut to select all tiles.


  • YouTube Summary
  • New "Customise UI" panel to select which Polypad features are enabled. These settings are stored with the canvas and replace the URL query string that was previously used to customise the UI of embedded Polypads.
  • New rectangle and regular polygon tiles with handles to customise.
  • New geometry tool to construct rectangles and angles.
  • Ability to add labels to constructions, including shortcuts for the current value. Use $a, $l, $c, $p, $d or $r for the area, length, circumference, perimeter, degrees or radians values.
  • New metronome input and sound or decimal display output for logic gates, which can be used to create custom audio.
  • New export options as JPG or SVG.
  • New mode to edit hidden and locked tiles on the canvas.
  • Set the label style (e.g. fractions, percentages or hidden) for individual tiles, and combine tiles with different labels on the same canvas.
  • Improved snapping when moving geometry construction tools, and many other dynamic geometry bug fixes.
  • Ten-sided polyhedral dice.
  • Improved storage of tile weights with multiple balance scales on the same canvas.
  • Increase the maximum denominator of fraction bars to 32.


  • New floating action bar with many new ways to customise tiles.
  • Logic gates, switches, lightbulbs, latches and flip-flops for learning computer science.
  • Snap to strokes and intersections drawn using utensils (e.g. ruler and compass).
  • New help and support panel accessible from the right settings panel.
  • Advanced option to hide the resize or customise handles for specific tiles.
  • Improved units and labels for geometry utensils, including inches for the ruler.
  • Split larger number tiles first into individual row, then individual tiles.
  • Improved RTL styles for the Arabic version of Polypad.


  • Chessboard and pieces, including move hints.
  • Ten frames and two-sided counters.
  • Multiple-jump arrows for number line.
  • Handle to resize the plates of the balance scales, and better highlight when other tiles intersect with the target areas.
  • Link tables to coordinate axes to scatter-plot data. Double-click on function plots or series to change their colour.
  • Link the same component (e.g. table or equation) to multiple other tiles (e.g.charts or coordinate systems).
  • Improved parsing of equations involving implicit multiplication or mixed numbers.
  • Rich text keyboard shortcuts.


  • YouTube Summary
  • New compass and set triangle utensils.
  • Sliders for variables that can be used in equation or coordinate system plots. Significantly improved function plotting.
  • Option to "evaluate" equations on the canvas. Use equation as weights on the balance scale.
  • Action to "transpose" a table.
  • Optional sound effects for many actions like rolling dice or shuffling cards.


  • Support for 3D geometry: add some built-in solids to the canvas, or create custom nets using polygon tiles. Polyhedra can be rotated
  • Many different chart tiles (row, column, line, area, pie, donut or box plot): you can data from any table to a chart, modify individual series by double-clicking, and choose from many different display options (e.g. stacked or grouped).
  • New Clock components
  • Improved graphic precision, and support for implicit multiplication in equation editor.
  • High contrast mode for projecting Polypad in the classroom (enable in settings popup).


  • Significantly updated "File" menu: organise saved Polypads into folders, more granular sharing settings (public, students/teachers, private), examples and assignments appear as a special folder, and we moved the share and changelog panels.
  • Re-organised "Tiles" sidebar with improved grouping of tile types.
  • Buttons to change the denominator of fraction bars (expand and reduce), including support for denominators up to 1/24.
  • New "Number Dot Arrangement" component.
  • New number tables (addition, multiplication and integers) and number frame components.
  • Remember the weight of balance scale tiles when you save a Polypad. Fix support for algebra tiles on the balance scale: you can now change the value of "x" and even solve quadratic equations.
  • New algebra tiles for y, y² and xy, including support on balance scales.
  • New advanced options to lock the position of a tile (but allow selecting/copying/etc) and to make a tile invisible.
  • Improved change handling with the colour picker (create a single "undo" state when moving a slider or typing in the RGB fields).
  • Updated number card colours, and action to "negate" their value.


  • Polyhedral Dice.
  • Stack, shuffle and draw playing cards, standard deck template in sidebar.
  • New "join" action to merge multiple polygons. Improved "cut" algorithm for polygons.
  • Double-click dice, coins and spinners to randomise, and playing cards to draw a card.
  • Tutorial Pages for every tile type.
  • Improved numberline resizing and snapping, and flip actions for ruler and protractor.
  • Significant performance improvements.
  • Improved graph plotting with implicit functions.
  • Hide Exploding Dots labels when the "hide number labels" option is selected.
  • Pride Month background.


  • Transparency support in colour picker.
  • Drag to select ranges of cells in tables, and copy/delete them.
  • New Domino tiles under Probability.
  • Irregular pentagons under Geometry.
  • Handle to partially highlight fraction bars.
  • Function plotting: create a coordinate system and an equation editor component. Next, drag the blue triangle on the right side of the equation editor onto the coordinate system. You can plot any expression with one variable, an equation of the form y = f(x), an implicit function containing x and y, as well as polar functions of the form r = f(θ).
  • Buttons to quickly change the axes scales of coordinate systems.
  • Decimal and percentage labels for fraction bars and fraction circles. You can switch between the different display modes in the settings panel on the right.
  • Direct number inputs for the RGB values in the colour picker.
  • New table component in the Tools section of the sidebar.
  • Layering and locking for tiles: enable Advanced Options in the settings panel on the right. Then you can use the new options in the toolbar to force tiles to stay in the foreground or background, or lock tiles. To revert locking, click Unlock All Tiles in the settings panel.
  • Increased limit of saved Polypad canvases per account from 100 to 250.
  • Equation editor improvements.

Customise UI

These settings allow you to customise which Polypad features and UI elements are enabled. The settings are stored when saving your file, allowing you to create custom activities or worksheets with only a subset of features. They are also cached as defaults on this device, when you create a new canvas. Learn more…



(Video) Polypad – Virtual Manipulatives – Mathigon




(Video) Polypad – Virtual Manipulatives – Mathigon

Help and Support

Discover the world’s best virtual manipulatives and digital tools for learning mathematics! Learn about all the different features using the links below. For more help, you can visit our Community Forum or our FAQs.

Help and Tutorials Lesson Plans
(Video) Polypad – Virtual Manipulatives – Mathigon 4

In-depth Tutorials

Geometry Numbers Fractions Algebra

Keyboard Shortcuts and Accessibility

Below are the keyboard shortcuts supported by Polypad. Learn more about our commitment to accessibility at mathigon.org/accessibility.

(Video) Polypad – Virtual Manipulatives – Mathigon 3

  • SHIFT: Hold while you click on multiple tiles to select all of them at once.
  • ALT: Hold before clicking and dragging on a tile to create and move a copy.
  • BACKSPACE, DELETE: Delete your current selection.
  • SPACEBAR: Temporarily switch to the pan tool, while holding this key.
  • C: Duplicate your current selection.
  • CTRL/CMD + X/Y: Undo or redo your last change.
  • CTRL/CMD + A: Select all tiles.
  • ARROW KEYS: Move the current selection up, down, left or right. Hold SHIFT to reduce the shift size, for more precise moving.
  • R: Rotate the current selection by 15°. Hold SHIFT to rotate by –15°.
  • S, D, F, A: Move the focus to the sidebar on the left, toolbar at the bottom, canvas area or action bar respectively.
  • V, P, G, T, Q, E: Switch to the move, pen, geometry, text, equation or eraser tool.
  • ESC: Clear the current selection and close any open popups and modals.
  • TAB: Cycle through all buttons on the page and tiles on the canvas. Hold SHIFT to reverse direction.
  • SHIFT + S: Save the current canvas, if you are signed into a Mathigon account.
  • CTRL/CMD + X/C/V: Cut, copy or paste tiles. You can even copy and paste tiles from one canvas onto another!
It is impossible to balance these weights. This is not a valid Polyhedron net.

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Unfortunately, we couldn’t upload this image. Make sure you are signed into your Mathigon account, and that the image is a PNG or JPEG file less than 1MB.

(Video) Polypad – Virtual Manipulatives – Mathigon


How do you make Mathigon shapes bigger? ›

Section i can take a square i can drag it onto the canvas. I'm going to zoom in a little bit to make

How do you use the compass on a Polypad? ›

And make sure this goes beyond what i would estimate as the midpoint draw this circle. And then move

What is poly pad? ›

What are polypads? Polypads are polypropylene supports. Designed to be placed under concrete paving slabs, tiles, podium decks or other surfaces in which a well-drained supportive flooring is required. They are becoming an ever-popular flooring option in modern construction.

Is virtual manipulative? ›

Virtual manipulatives are cognitive technological tools that are a dynamic visual representation of physical manipulatives which can be operated through a computer mouse (or a finger on a tablet) to slide, flip, and turn just like a three-dimensional object.

What is the name of this polygon? ›

Types of Polygon With Sides 3 to 20
Name of the PolygonsSidesVertices
Quadrilateral (also called Tetragon)44
15 more rows

Can shapes have curved sides? ›

Two-dimensional curved shapes include circles, ellipses, parabolas, and hyperbolas, as well as arcs, sectors and segments.

How can I buy a PolyPad? ›

Go to CoinMarketCap and search for PolyPad. Tap on the button labeled “Market” near the price chart. In this view, you will see a complete list of places you can purchase PolyPad as well as the currencies you can use to obtain it. Under “Pairs” you'll see the shorthand for PolyPad, POLYPAD, plus a second currency.

How do you save a PolyPad? ›

If you are signed in to your Mathigon account, you can save any Polypad state by opening the Save and Share panel in the sidebar footer, and then clicking Save current canvas. Every saved Polypad has a unique URL which you can share with others.

What are examples of virtual manipulatives? ›

The most common virtual manipulatives used were geoboards, pattern blocks, tangrams, and base-10 blocks. We were not surprised to find these specific virtual manipulatives used most frequently across the grade levels, as these are commonly used physical manipulatives with which many teachers are familiar.

Are virtual or concrete manipulatives better? ›

Concrete manipulatives appear to be more effective for building pre-service teachers' conceptual understanding, with virtual manipulatives used to reinforce those concepts. ➢ The majority of students found concrete manipulatives to be easier to use but not necessarily more readily available than virtual ones.

Which one is an advantage of digital manipulatives? ›

Advantages of virtual manipulatives:

Most importantly, it is given Immediate feedback. Easier to maneuver and keep together. Would keep students attention. Available anywhere, anytime, to anyone.

What is a 69 sided shape called? ›

What is the name of 69 sided polygon? - YouTube

What is a 1000 sided shape called? ›

In geometry, a chiliagon (/ˈkɪliəɡɒn/) or 1000-gon is a polygon with 1,000 sides. Philosophers commonly refer to chiliagons to illustrate ideas about the nature and workings of thought, meaning, and mental representation.

What is a 17 sided shape called? ›

to 17, forming the heptadecagon.

What is the smallest shape in the world? ›

Answer: Probably, the smallest shape in geometry is a circle.

What shape has 7 sides called? ›

A heptagon is a seven-sided polygon. It is also sometimes called a septagon, though this usage mixes a Latin prefix sept- (derived from septua-, meaning "seven") with the Greek suffix -gon (from gonia, meaning "angle"), and is therefore not recommended.

Is a slice of pizza a triangle? ›

A sector is a cut from the center of a circle to any part of its circumference (the curved line of a circle). A slice of pizza would have been a triangle if all three sides were straight lines. However, it is a circular sector because two sides are straight while the third is curved.

How do I get a Polypad token? ›

How to Buy PolyPad (POLYPAD) Guide
  1. Download a Binance Wallet. ...
  2. Set up your Binance. ...
  3. Buy BNB Chain as Your Base Currency. ...
  4. Send BNB Chain From Binance to Your Crypto Wallet. ...
  5. Choose a Decentralized Exchange (DEX) ...
  6. Connect Your Wallet. ...
  7. Trade Your BNB Chain With the Coin You Want to Get.

How do you enlarge a shape? ›

A transformation is a way of changing the size or position of a shape. To enlarge a shape, a centre of enlargement is required. When a shape is enlarged from a centre of enlargement, the distances from the centre to each point are multiplied by the scale factor.

How do you increase the size of a polygon? ›

If you want to change the size of the figure you should multiply the x coordinate by a number b and the y coordinate by a number c. This stretches the figure out and increases (or decreases) the area by the factor bc. To maintain the shape of the figure, just let b = c.

How do you enlarge a shape by scale factor? ›

To enlarge a shape, multiply all lengths of the shape by the scale factor. The scale factor tells us how many times larger the shape will be. For example, enlarging a shape by scale factor 2 means that all of the sides will become 2 times longer. This rectangle is 1 square wide and 2 squares long.

How do you scale a shape? ›

How to Calculate the Scale Factor of Two Shapes - YouTube

What is a negative scale factor? ›

A shape can be enlarged with a negative scale factor. If the scale factor is negative, the shape is enlarged on the other side of the centre of enlargement and it is turned upside down.

How do I enlarge a digital photo? ›

How to Enlarge a Low Resolution Image for Print, Another Way!

How do you enlarge a triangle by scale factor 3? ›

Enlargements. How To Enlarge A Triangle By A Scale Factor From A ...

Which is a 3 sided regular polygon? ›

The polygon with three sides is called a triangle. The word triangle explains itself, “tri-angle” means three angles.

Is circle a regular shape? ›

Regular means predictable, with the fewest possible variations. So yes, a circle is about as regular as a shape can be. You can define a circle with just a center and a radius.

What is regular polygon with examples? ›

A regular polygon is a polygon with congruent sides and equal angles. The examples of regular polygons include equilateral triangle, square, regular pentagon, and so on.

What is a scale factor example? ›

A scale factor is a number which multiplies (“scales”) a quantity. For example,the “C” in y = Cx is the scale factor for x. If the equation were y = 5x, then the factor would be 5.

How do you enlarge a shape by 1 3? ›

Enlargement with fractional scale factors - Corbettmaths - YouTube

What does a scale factor of 3 mean? ›

A scale factor of 3 means that the new shape is three times the size of the original.

How do I calculate scale? ›

The basic formula that is used for calculating the scale factor is, Scale factor = Dimension of the new shape ÷ Dimension of the original shape. In case, if the original figure is scaled up, the formula is written as, Scale factor = Larger figure dimensions ÷ Smaller figure dimensions.

What is a scale of 1 5? ›

Example 1: Scaling down

A 50mm line is to be drawn at a scale of 1:5 (ie 5 times less than its original size). The measurement 50mm is divided by 5 to give 10mm.

What is the scale factor formula? ›

If you're scaling down from a larger figure to a smaller one, use the equation scale factor = smaller length over larger length. Plug in the lengths and simplify the fraction to find the scale factor.


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