Math

Fraction Model

Shade parts of a model to show a fraction.

Delivery

Respond, review and evaluate

Authoring

Visual editor available

No print view in this package

The title "Representing Improper Fractions" with the prompt "Shade the pie models to represent 7/4 (seven fourths)." and the hint "This is more than one whole!" above two unshaded circles, each divided into four numbered parts. — Fraction Model example

Try the interaction

Live example: @pie-element/fraction-model@7.0.4 · players 1.0.0-beta.5.

Open all examples for this element →

Use it in an item

Map the tag to an exact package version and match the model ID to the markup. The item player loads the views. You can use any frontend framework.

{
  "elements": {
    "fraction-model": "@pie-element/fraction-model@7.0.4"
  },
  "markup": "<fraction-model id=\"example\"></fraction-model>",
  "models": [
    {
      "id": "example",
      "element": "fraction-model",
      "title": "Understanding Halves",
      "prompt": "<p>Shade the model to show <strong>1/2</strong> (one half).</p>",
      "modelTypeSelected": "bar",
      "maxModelSelected": 1,
      "partsPerModel": 2,
      "allowedStudentConfig": false,
      "showGraphLabels": false,
      "correctResponse": [
        {
          "id": 1,
          "value": 1
        }
      ]
    }
  ]
}

Embed an item · Embed authoring · Print integration

Responses and scoring

The controller defines scoring for this element. Browser scoring returns one outcome per element. Your application combines those outcomes into an item score and handles trusted server scoring.

Scoring, partial credit and rubrics →

Model, configuration and session reference

The model holds content, configuration controls the editor, and the session holds the response. Fields below come from generated JSON Schemas.

Schema version: @pie-element/fraction-model@7.0.6. Example version: 7.0.4. Use the schema matching your content. Schema checks cover data structure; controller validation checks authoring rules.

model fields (15)

Field	Type	Meaning	Default / values
`id`Required	`string`	Identifier to identify the Pie Element in html markup, Must be unique within a pie item config.	`—`
`element`Required	`string`	The html Element tag name: the key in the item config's `elements` map, e.g. "multiple-choice"	`—`
`accessibilityCatalogs`	`array`	QTI-aligned accessibility catalogs whose cards dock to content nodes by `data-catalog-idref`	`—`
`correctResponse`	`array`	Array of ResponseObject for correct response	`[]`
`title`	`string`	The title prompt of the item	`""`
`prompt`	`string`	The question prompt or item stem	`""`
`modelTypeSelected`	`string`	Indicates if the model type should be Bar or Pie model	`"bar"`["bar","pie"]
`maxModelSelected`	`number`	Indicates max no of models to be selected	`1`
`partsPerModel`	`number`	Indicates parts per model to be selected	`5`
`allowedStudentConfig`	`boolean`	Indicates if student can configure no of models and parts per model	`false`
`showGraphLabels`	`boolean`	Determines if graph labels visible or not	`false`
`language`	`string`	Indicates the language of the component Supported options: en, es, en_US, en-US, es_ES, es-ES, es_MX, es-MX	`—`
`spellCheckEnabled`	`boolean`	Indicates if spellcheck is enabled for the author's title and prompt editors	`—`
`toolbarEditorPosition`	`string`	Indicates the editor's toolbar position which can be 'bottom' or 'top'	`"bottom"`["bottom","top"]
`extraCSSRules`	`ExtraCSSRules`	Host-supplied CSS scoped to the element	`—`

Named object types

AccessibilityCatalog

Field	Type	Meaning	Default / values
`identifier`Required	`string`	See the named type or the example model.	`—`
`cards`Required	`array`	See the named type or the example model.	`—`

CatalogCard

Field	Type	Meaning	Default / values
`catalog`Required	`string`	See the named type or the example model.	`—`
`language`	`string`	See the named type or the example model.	`—`
`content`	`string`	See the named type or the example model.	`—`
`payload`	`CatalogCardPayload`	See the named type or the example model.	`—`

SignLanguageCardPayload

Field	Type	Meaning	Default / values
`signLang`	`string`	Language tag for the signed translation — BCP 47, which admits ISO 639-3 subtags for languages with no 639-1/2 code. "ase" is ASL, matching QTI 3 `xml:lang`. This is the language of the adaptation, not the item's base content language (AfA/PNP's `languageOfAdaptation`). The distinction is load bearing: a Spanish item's signed alternate is LSM, not ASL, so `signLang` must never be inferred from the item or assessment content language. Optional, and redundant on almost every card. The card's `language` states the same code and is the only field pie-players resolves a card on — resolution runs before anything knows the card is a signing card, so it can only key on the generic field — and the player falls back to it when this is absent. Author it only where the two differ: a card tagged with the item's content language (`language: 'en-US'`, `signLang: 'ase'`) so resolution reaches it by the default-language rung. The pie-api-aws importer emits `language` alone.	`—`
`media`Required	`MediaAssetRef`	See the named type or the example model.	`—`
`fragment`	`MediaFragmentRange`	See the named type or the example model.	`—`

MediaAssetRef

Field	Type	Meaning	Default / values
`version`Required	`number`	See the named type or the example model.	`—`
`id`Required	`string`	See the named type or the example model.	`—`
`kind`Required	`MediaKind`	See the named type or the example model.	`—`
`sources`Required	`array`	See the named type or the example model.	`—`
`poster`	`string`	See the named type or the example model.	`—`
`thumbnail`	`string`	See the named type or the example model.	`—`
`durationSeconds`	`number`	See the named type or the example model.	`—`
`tracks`	`array`	See the named type or the example model.	`—`
`transcript`	`TranscriptRef`	See the named type or the example model.	`—`
`label`	`string`	See the named type or the example model.	`—`
`description`	`string`	See the named type or the example model.	`—`
`lang`	`string`	Language of the asset itself, as authored metadata. Sign-language cards leave it unset: the card's `language` already states the adaptation language, and a second copy is a second thing to keep in agreement.	`—`

MediaSource

Field	Type	Meaning	Default / values
`src`Required	`string`	See the named type or the example model.	`—`
`type`	`string`	MIME type, e.g. "video/mp4".	`—`
`width`	`number`	See the named type or the example model.	`—`
`height`	`number`	See the named type or the example model.	`—`
`bitrate`	`number`	See the named type or the example model.	`—`

TextTrackRef

Field	Type	Meaning	Default / values
`src`Required	`string`	See the named type or the example model.	`—`
`kind`Required	`string`	See the named type or the example model.	`—`["captions","subtitles","descriptions","chapters","metadata"]
`lang`Required	`string`	See the named type or the example model.	`—`
`label`Required	`string`	See the named type or the example model.	`—`
`default`	`boolean`	See the named type or the example model.	`—`

TranscriptRef

Field	Type	Meaning	Default / values
`src`	`string`	See the named type or the example model.	`—`
`html`	`string`	See the named type or the example model.	`—`
`plainText`	`string`	See the named type or the example model.	`—`
`lang`	`string`	See the named type or the example model.	`—`

MediaFragmentRange

Field	Type	Meaning	Default / values
`startSeconds`Required	`number`	See the named type or the example model.	`—`
`endSeconds`	`number`	See the named type or the example model.	`—`

SpokenAudioCardPayload

Field	Type	Meaning	Default / values
`media`Required	`MediaAssetRef`	See the named type or the example model.	`—`
`fragment`	`MediaFragmentRange`	See the named type or the example model.	`—`

FractionModelResponse

Field	Type	Meaning	Default / values
`id`Required	`number`	Indicates the response id for bar or pie model: the model's 1-based position	`—`
`value`Required	`number`	Indicates the selected response sector for model value: the number of parts selected in the model	`—`

ExtraCSSRules

Field	Type	Meaning	Default / values
`names`	`array`	See the named type or the example model.	`—`
`rules`	`string`	See the named type or the example model.	`—`

Open the complete JSON Schema

configuration fields (14)

Field	Type	Meaning	Default / values
`baseInputConfiguration`	`EditableHtmlConfigureProp`	Base editable html input configuration regarding plugins that are enabled/disabled E.g. audio, video, image	`—`
`title`	`FractionModelFieldConfiguration`	Configuration for html input configuration regarding plugins that are enabled/disabled on item title E.g. audio, video, image	`—`
`prompt`	`FractionModelFieldConfiguration`	Configuration for html input configuration regarding plugins that are enabled/disabled on question stem E.g. audio, video, image	`—`
`modelOptions`	`FractionModelOptionsConfiguration`	Configuration for model options selection like Parts per model, max no. of models etc	`—`
`mathMlOptions`	`ConfigureMathMLProp`	Configuration for editable-html	`—`
`language`	`ConfigurePropWithEnabled`	Language configuration	`—`
`languageChoices`	`ConfigureLanguageOptions`	Language choices configuration Only available if language is enabled	`—`
`contentDimensions`	`ContentDimensions`	Dimensions of the authoring container	`—`
`spellCheck`	`ConfigurePropWithEnabled`	Not read by this element: the model's `spellCheckEnabled` sets spellcheck	`—`
`settingsPanelDisabled`	`boolean`	Not read by this element: the settings panel is always hidden	`—`
`feedback`	`ConfigureProp`	Not read by this element: it has no feedback	`—`
`showPrompt`	`boolean`	Not read by this element: the prompt is always shown	`—`
`promptLabel`	`string`	Not read by this element: `prompt.label` labels the prompt	`—`
`settingsPartialScoring`	`boolean`	Not read by this element: it has no partial scoring	`—`

Named object types

EditableHtmlConfigureProp

Field	Type	Meaning	Default / values
`math`	`EditableHtmlButtonConfigure`	See the named type or the example model.	`—`
`audio`	`EditableHtmlButtonConfigure`	See the named type or the example model.	`—`
`video`	`EditableHtmlButtonConfigure`	See the named type or the example model.	`—`
`image`	`EditableHtmlButtonConfigure`	See the named type or the example model.	`—`
`customPlugins`	`array`	An array of objects that determine custom plugins. A custom plugin is an object which determines how the button will look like (icon) and the event name that will be triggered when the button gets pressed (event).	`—`
`blockquote`	`EditableHtmlButtonConfigure`	See the named type or the example model.	`—`
`h3`	`EditableHtmlButtonConfigure`	See the named type or the example model.	`—`
`characters`	`EditableHtmlButtonConfigure`	See the named type or the example model.	`—`
`bold`	`EditableHtmlButtonConfigure`	See the named type or the example model.	`—`
`html`	`EditableHtmlButtonConfigure`	See the named type or the example model.	`—`
`italic`	`EditableHtmlButtonConfigure`	See the named type or the example model.	`—`
`ol_list`	`EditableHtmlButtonConfigure`	See the named type or the example model.	`—`
`redo`	`EditableHtmlButtonConfigure`	See the named type or the example model.	`—`
`strikethrough`	`EditableHtmlButtonConfigure`	See the named type or the example model.	`—`
`sub`	`EditableHtmlButtonConfigure`	See the named type or the example model.	`—`
`sup`	`EditableHtmlButtonConfigure`	See the named type or the example model.	`—`
`table`	`EditableHtmlButtonConfigure`	See the named type or the example model.	`—`
`ul_list`	`EditableHtmlButtonConfigure`	See the named type or the example model.	`—`
`underline`	`EditableHtmlButtonConfigure`	See the named type or the example model.	`—`
`undo`	`EditableHtmlButtonConfigure`	See the named type or the example model.	`—`
`textAlign`	`EditableHtmlButtonConfigure`	See the named type or the example model.	`—`
`showParagraphs`	`EditableHtmlButtonConfigure`	See the named type or the example model.	`—`
`separateParagraphs`	`EditableHtmlButtonConfigure`	See the named type or the example model.	`—`
`pasteFormatting`	`EditableHtmlButtonConfigure`	See the named type or the example model.	`—`
`superscript`	`EditableHtmlButtonConfigure`	See the named type or the example model.	`—`
`subscript`	`EditableHtmlButtonConfigure`	See the named type or the example model.	`—`
`languageCharacters`	`EditableHtmlButtonConfigure`	See the named type or the example model.	`—`
`responseArea`	`EditableHtmlButtonConfigure`	See the named type or the example model.	`—`

EditableHtmlButtonConfigure

Field	Type	Meaning	Default / values
`disabled`	`boolean`	Indicates if the plugin is disabled or not	`—`

CustomPlugin

Field	Type	Meaning	Default / values
`event`Required	`string`	The name of the custom event. It needs to be valid (only letters, numbers and "_" can be used). The event is emitted with the "PIE-" prefix.	`—`
`iconAlt`Required	`string`	The alt for the custom button icon	`—`
`iconType`Required	`string`	The icon type. Currently, only "SVG" is supported.	`—`
`icon`Required	`string`	The icon string. Currently, only SVG is supported, so it needs to be a valid svg.	`—`

FractionModelFieldConfiguration

Field	Type	Meaning	Default / values
`settings`	`boolean`	Not read by this element: it has no settings panel	`—`
`label`	`string`	Indicates the label of the field	`—`
`enabled`	`boolean`	Not read by this element: the field is always shown	`—`
`inputConfiguration`	`EditableHtmlConfigureProp`	Configuration for editable-html	`—`

FractionModelOptionsConfiguration

Field	Type	Meaning	Default / values
`maxOfModel`	`FractionModelNumberOption`	Indicates the max number of models for item	`—`
`partsPerModel`	`FractionModelNumberOption`	Indicates the parts per model for item	`—`
`modelTypeChoices`	`array`	Indicates the model types of item	`—`

FractionModelNumberOption

Field	Type	Meaning	Default / values
`min`	`number`	Indicates the min value for number model	`—`
`max`	`number`	Indicates the max value for number model	`—`
`default`	`number`	Not read by this element: the controller defaults set the starting value	`—`

FractionModelTypeChoice

Field	Type	Meaning	Default / values
`value`Required	`string`	Indicates the value for model choice	`—`["bar","pie"]
`label`Required	`string`	Indicates the label for model choice	`—`

ConfigureMathMLProp

Field	Type	Meaning	Default / values
`mmlOutput`	`boolean`	Indicates if model should have mathML output instead of latex	`—`
`mmlEditing`	`boolean`	Indicates if mathML that's already in model should be editable	`—`

ConfigurePropWithEnabled

Field	Type	Meaning	Default / values
`settings`	`boolean`	Indicates if the item has to be displayed in the Settings Panel	`—`
`label`	`string`	Indicates the label for the item that has to be displayed in the Settings Panel	`—`
`enabled`	`boolean`	Indicates the value of the item if it affects config-ui (eg.: if item is a switch and displaying an input on the config-ui depends on the switch value: on/off)	`—`

ConfigureLanguageOptions

Field	Type	Meaning	Default / values
`label`Required	`string`	See the named type or the example model.	`—`
`options`Required	`array`	See the named type or the example model.	`—`

ConfigureLanguageOptionsProp

Field	Type	Meaning	Default / values
`value`Required	`string`	Value of the language option	`—`
`label`Required	`string`	Label of the language option	`—`

ContentDimensions

Field	Type	Meaning	Default / values
`maxHeight`	`string \| number`	See the named type or the example model.	`—`
`maxWidth`	`string \| number`	See the named type or the example model.	`—`
`minHeight`	`string \| number`	See the named type or the example model.	`—`
`minWidth`	`string \| number`	See the named type or the example model.	`—`

ConfigureProp

Field	Type	Meaning	Default / values
`settings`	`boolean`	Indicates if the item has to be displayed in the Settings Panel	`—`
`label`	`string`	Indicates the label for the item that has to be displayed in the Settings Panel	`—`

Open the complete JSON Schema

session fields (3)

Field	Type	Meaning	Default / values
`id`	`string`	Identifier of the session	`—`
`element`	`string`	The element the session belongs to	`—`
`answers`	`FractionModelAnswers`	What the student entered; absent until the element first renders	`—`

Named object types

FractionModelAnswers

Field	Type	Meaning	Default / values
`response`Required	`array`	The parts the student selected, one entry per model with a selection	`—`
`noOfModel`	`union`	The number of models the student chose; written only when the model's `allowedStudentConfig` is set, and empty until the student enters one	`—`
`partsPerModel`	`union`	The parts per model the student chose; written only when the model's `allowedStudentConfig` is set, and empty until the student enters one	`—`

FractionModelResponse

Field	Type	Meaning	Default / values
`id`Required	`number`	Indicates the response id for bar or pie model: the model's 1-based position	`—`
`value`Required	`number`	Indicates the selected response sector for model value: the number of parts selected in the model	`—`

Open the complete JSON Schema

How to use the schemas →

Accessibility and content requirements

PIE targets WCAG 2.2 AA. Provide clear prompts and media alternatives, and test the question with a keyboard and assistive technology. Manual testing is still incomplete; see the coverage notes below.

Accessibility and evidence · Element evidence and manual checks(opens in new tab)

Element package source(opens in new tab) · Example source(opens in new tab) · Snapshot cb30a68f