KE ME SOME SPACE VIA A TRICK FROM GRHome | MathCLIPS Tools | Fraction Strips Tool

This page has been updated for Fraction Strips version 0.8.0 released May 2017. Description Examples Features How-To Videos PDF supports Fraction Strips
Use Fraction Strips to represent, compare, order, and operate on fractions. Represent fractions by dragging pieces from the fraction tower into the workspace.
Pieces can be placed in a line to form a train. Manipulate the pieces and trains to compare and order fractions or to model fraction operations.

Mathematical Concepts:

Create visual representations that help explore mathematical thinking related to:

Understanding part-whole relationships

Representing, comparing and ordering fractions

Iterating a unit fraction by copying

Exploring the relationship between the number of equal partitions in a whole and the fractional unit (denominator)

Exploring equivalent fractions

Modelling operations with fractions

placing pieces beside or between each other, to combine fractions (addition)

removing pieces from trains (subtraction)

aligning trains to compare fractions with or without using comparison bars, including to find differences (subtraction)

copying strips or trains to model repeated addition (multiplication)

Take a screenshot of your work to share with your teacher or add to a portfolio. You can insert picturesinto the Tool using thebutton. top

Examples Representing
Represent unit, proper and improper fractions. Combine pieces into a train to model operations.

FracStripiPadSS1.png

Comparing
Align trains using the built-in snapping. Zoom in for more precision. Rulers, when shown, will illuminate ticks in red if a piece ends exactly in that spot.
Create a vertical comparison bar to track a position down from train to train.
Adjust the height of the tower using the double-arrow button beneath it; use the scroll bar to access hidden fractions.
Reposition the fraction tower by dragging using the dark blue area at the top.

Exploring Equivalence
The equivalence bar in the tower can be dragged to reveal equivalent fractions in the tower.
The ruler can be shown, with steppers that change the fractional unit (e.g., from thirds to sixths), to assist with renaming fractions.

Operations

place pieces beside or between each other, to combine fractions (addition)

remove pieces from trains (subtraction)

aligning trains to compare fractions with or without using comparison bars, including to find differences (subtraction)

copying strips or trains to model repeated addition (multiplication)

FractStripsiPadOperations.png

Comparing Addition of Fractions
Watch a video of the following question being solved by the Fraction Strips

Customizing the Tool
Colours can be changed to match physical manipulatives, like Pattern Blocks. Images, like the one below of a shape created by the Pattern Blocks tool can be imported.
Strips can be removed from the tower. Pieces can be made more or less transparent (Settings).
Annotation tools to select, draw, erase, and create lines, arrows and shapes are available from the Pencil icon at the top of the screen.
Add text using the text box tool. Change the appearance (thickness, transparency, colour, size) of objects created with the annotation tools.
Copy any image or annotation object, just like you would a piece or train.

Ribbon Problem

The grade 7 class is making decorations. They have 5 meters of ribbon to use. Each decoration takes 2/5 of a meter of ribbon.
How many decorations can they make?
Note: The video below was created with a previous version of the Fraction Strips Tool.

Equivalence Bar
Drag to highlight equivalent fractions in the tower.

Change Tower Height
Drag to adjust the height of the tower. If strips are hidden, use the scroll bar to reveal them.
To move the tower, drag it by the dark blue area at the top.

Label

Toggle between showing:

no labels

the labels in the tower only

labels in the tower and in the workspace

Customize Fraction Tower
Show the Customize Fraction Tower dialog to

choose a colour palette (Rainbow, Original, or One Colour)

include or exclude strips in the tower

change the colour of the strips and the related pieces in the workspace

restore the tower to its default state

Ruler
Toggle between

not showing rulers

showing rulers

showing rulers and the stepper to change the tick marks on the ruler

The ticks are illuminated in red if a piece ends exactly at that position.

Create Comparison Bar

A comparison bar is a grey, vertical line that is useful to compare fractions, especially when the left edges are aligned.
Multiple comparison bars can be created. The length of a bar, its colour and its thickness can be modified.

Zoom Out
Zoom out to see more of the workspace. The fraction pieces will look smaller.
On mobile, you can use the pinch-to-zoom gesture to zoom in and out.

Zoom In
Zoom in on selected pieces.
The fraction pieces will look bigger, which is useful for more precise comparison,
especially when working with small fractions.
To pan the workspace use the scroll bars (desktop) or gesture with two fingers (mobile).

Zoom To Fit
Re-orient the workspace so that all fraction pieces are on the screen.

Annotation Tool

Make notes or highlight various features of your representation. More details.

Insert Image Button

You can insert images into the tool. More details.

Undo/Redo

Step backward or forward through your actions with the tool.
This feature is not only useful for backtracking when a misstep is made, it enables a student to
demonstrate their work from the start to the finish.
They press Undo until they are at the start of their solution and then press Redo repeatedly,
explaining each step.

Reset

Return the tool to its original state.

All objects in the workspace will be deleted and the settings will be restored to their defaults.

Information

Opens a dialog with a link to this wiki, a feedback form as well as copyright details and version number.

Settings

Show the Settings dialog to:

Open a previously saved Fraction Strips file

Save your work in a file (see File Operations for more details)

Restore Defaults to retain the objects in the workspace, while restoring the settings to their defaults,
including labels, rulers, and colours.

Recycle

Click to clear selected tiles. If nothing is selected, the entire work space will be cleared.

Alternatively, drag items to the recycle bin to remove them.

On the desktop version of this tool, most of the standard Keyboard Shortcuts have been implemented. NOTE: Movement with the arrow keys has been disabled in Fraction Strips since they manipulate the scrolling windows.
the PageUp and PageDown buttons will also scroll the workspace vertically.

How-To Videos

Exploring, Creating and Naming Fraction Representations (for previous version of Fraction Strips)
Note: The video below was created with a previous version of the Fraction Strips Tool.
Much of the information included is still relevant. However, notice the following changes:

the default colours are different

the tower no longer has labels at the side. See the label button above for current information.

this version does not show any status bar hints

ruler functionality has been revised, see above

to drag multiple pieces from the tower click on any piece in a row and drag to the workspace, all pieces to the left come along automatically, there is no longer a keyboard shortcut to do this

most of the information described in the settings has been moved to the buttons in the workspace ( see above for details)

Moving, Copying, Deleting and Aligning Fraction Representations(for previous version of Fraction Strips)
Note: The video below was created with a previous version of the Fraction Strips Tool.
Much of the information included is still relevant. However, notice the following changes:

the mini menu has been removed, see details about copying and deleting above

the functionality of the alignment bar has been replaced with pieces that snap to grid to align and a configurable comparison bar can be added

Gazette Articles September 2017 - Representing, Comparing and Ordering Fractions, Equivalent Fractions , Addition and Subtraction of Fractions December 2017 - Multiplication and Division of Fractions

Fraction Strips and Fraction Towers
(Source - EduGAINS /Ministry Developed Resources/ Mathematics / Classroom Practices/Technology and Teaching Tools/Manipulative Use )

KE ME SOME SPACE VIA A TRICK FROM GRHome | MathCLIPS Tools | Fraction Strips Tool

Description

Examples

Features

How-To Videos

PDF supports

Fraction StripsUse Fraction Strips to represent, compare, order, and operate on fractions. Represent fractions by dragging pieces from the fraction tower into the workspace.

Pieces can be placed in a line to form a train. Manipulate the pieces and trains to compare and order fractions or to model fraction operations.

Mathematical Concepts:Create visual representations that help explore mathematical thinking related to:

- Understanding part-whole relationships
- Representing, comparing and ordering fractions
- Iterating a unit fraction by copying
- Exploring the relationship between the number of equal partitions in a whole and the fractional unit (denominator)
- Exploring equivalent fractions
- Modelling operations with fractions
- placing pieces beside or between each other, to combine fractions (addition)
- removing pieces from trains (subtraction)
- aligning trains to compare fractions with or without using comparison bars, including to find differences (subtraction)
- copying strips or trains to model repeated addition (multiplication)

Take a screenshot of your work to share with your teacher or add to a portfolio. You can insert pictures into the Tool using thebutton.top

ExamplesRepresentingRepresent unit, proper and improper fractions. Combine pieces into a train to model operations.

ComparingAlign trains using the built-in snapping. Zoom in for more precision. Rulers, when shown, will illuminate ticks in red if a piece ends exactly in that spot.

Create a vertical comparison bar to track a position down from train to train.

Adjust the height of the tower using the double-arrow button beneath it; use the scroll bar to access hidden fractions.

Reposition the fraction tower by dragging using the dark blue area at the top.

Exploring EquivalenceThe equivalence bar in the tower can be dragged to reveal equivalent fractions in the tower.

The ruler can be shown, with steppers that change the fractional unit (e.g., from thirds to sixths), to assist with renaming fractions.

OperationsComparing Addition of FractionsWatch a video of the following question being solved by the Fraction Strips

Customizing the ToolColours can be changed to match physical manipulatives, like Pattern Blocks. Images, like the one below of a shape created by the Pattern Blocks tool can be imported.

Strips can be removed from the tower. Pieces can be made more or less transparent (Settings).

Annotation tools to select, draw, erase, and create lines, arrows and shapes are available from the Pencil icon at the top of the screen.

Add text using the text box tool. Change the appearance (thickness, transparency, colour, size) of objects created with the annotation tools.

Copy any image or annotation object, just like you would a piece or train.

Ribbon ProblemThe grade 7 class is making decorations. They have 5 meters of ribbon to use. Each decoration takes 2/5 of a meter of ribbon.

How many decorations can they make?

Note: The video below was created with a previous version of the Fraction Strips Tool.

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## Features of the Tool

ButtonEquivalence BarDrag to highlight equivalent fractions in the tower.

Change Tower HeightDrag to adjust the height of the tower. If strips are hidden, use the scroll bar to reveal them.

To move the tower, drag it by the dark blue area at the top.

LabelToggle between showing:

Customize Fraction TowerShow the Customize Fraction Tower dialog to

RulerToggle between

The ticks are illuminated in red if a piece ends exactly at that position.

Create Comparison BarA comparison bar is a grey, vertical line that is useful to compare fractions, especially when the left edges are aligned.

Multiple comparison bars can be created. The length of a bar, its colour and its thickness can be modified.

Zoom OutZoom out to see more of the workspace. The fraction pieces will look smaller.

On mobile, you can use the pinch-to-zoom gesture to zoom in and out.

Zoom InZoom in on selected pieces.

The fraction pieces will look bigger, which is useful for more precise comparison,

especially when working with small fractions.

To pan the workspace use the scroll bars (desktop) or gesture with two fingers (mobile).

Zoom To FitRe-orient the workspace so that all fraction pieces are on the screen.

## Annotation Tool

## Make notes or highlight various features of your representation. More details.

## Insert Image Button

## You can insert images into the tool. More details.

## Undo/Redo

Step backward or forward through your actions with the tool.

This feature is not only useful for backtracking when a misstep is made, it enables a student to

demonstrate their work from the start to the finish.

They press Undo until they are at the start of their solution and then press Redo repeatedly,

explaining each step.

## Reset

## Return the tool to its original state.

## All objects in the workspace will be deleted and the settings will be restored to their defaults.

## Information

## Opens a dialog with a link to this wiki, a feedback form as well as copyright details and version number.

## Settings

Show the Settings dialog to:including labels, rulers, and colours.

## Recycle

## Click to clear selected tiles. If nothing is selected, the entire work space will be cleared.

Alternatively, drag items to the recycle bin to remove them.## Keyboard Shortcuts

On the desktop version of this tool, most of the standard Keyboard Shortcuts have been implemented.

NOTE: Movement with the arrow keys has been disabled in Fraction Strips since they manipulate the scrolling windows.

the PageUp and PageDown buttons will also scroll the workspace vertically.

## How-To Videos

Exploring, Creating and Naming Fraction Representations (for previous version of Fraction Strips)Note: The video below was created with a previous version of the Fraction Strips Tool.

Much of the information included is still relevant. However, notice the following changes:

Video Transcript

Not Working?Try mp4 formatMoving, Copying, Deleting and Aligning Fraction Representations(for previous version of Fraction Strips)Note: The video below was created with a previous version of the Fraction Strips Tool.

Much of the information included is still relevant. However, notice the following changes:

Video Transcript

Not Working?Try mp4 formattop## PDF supports

Gazette ArticlesSeptember 2017 - Representing, Comparing and Ordering Fractions, Equivalent Fractions , Addition and Subtraction of Fractions

December 2017 - Multiplication and Division of Fractions

A Fraction Strips Story: Reflections on a Studentâ€™s Mathematical Exploration (Draft)

Fraction Strips and Fraction Towers

(Source - EduGAINS /Ministry Developed Resources/ Mathematics / Classroom Practices/Technology and Teaching Tools/Manipulative Use )

Visit EDUGAINS for additional Tip Sheets.

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