Graphical answer

When the Graphic option is selected, the equation editor gets replaced by the drawing tool. You may readily draw the correct answer to the question using the upper toolbar.

Bear in mind students will use the same toolbar (or a reduced version) to answer the question. They will be also able to use the handwriting to do so, you can see more details here.

It's also possible to include initial content for the students. It can be very useful when, for instance, we want them to indicate some elements of a given object.

Sometimes we may be interested in not providing the student with all the graph resources. In the Customize toolbar section, you can define which of them will be shown in the student's graph by simply checking or unchecking the corresponding box. They are all selected by default.

The graph resources are divided into five sections explained below: toolbar, menu, floating, contextual (elements), and contextual (labels).

The Toolbar is at the core of many of the graph's possibilities. You can hide some icons to facilitate the research of those which the students need or to make the problem's resolution a little bit more complicated.

Element	Description	Icon
Select	To select objects and see its algebraic expression and modify its properties
Handwriting	To handwrite any of the existing objects. See how here
Point	To draw a single point
Lines	Line: To draw a line passing through two given points
	Segment: To draw a segment between two given points
	Ray: To draw a ray given a starting point and a direction
	Vector: To draw a vector given a starting point and a direction
	Parallelogram: To draw a parallelogram given a starting point and two different directions
	Polyline: To draw a polyline given an ordered set of points
	Polygon: To draw a polygon given a closed ordered set of points
Conic sections	Circle by center and point: To draw a circle given its center and a belonging point
	Circle by three points: To draw a circle passing through three given points
	Arc: To draw an arc of circumference
	Parabola: To draw a parabola given a directrix line and its center
	Ellipse: To draw an ellipse given an axis and a belonging point
	Hyperbola: To draw an hyperbola given
	Conic: To draw a general conic section given five belonging points
Measures	Area: To fill an enclosed region and calculate its area
	Angle: To calculate the counterclockwise angle between two given elements
	Length: To calculate the length of a bounded unidimensional element
Label	To include any label within the plotter
Expression	To include the graphic representation of any mathematical expression
Undo	To undo the last performed action
Redo	To redo the last erased action

The Menu options allow the students to configure the main plotter settings.

Element	Description	Icon
Delete all	To delete everything drawn in the graph (included the initial content)
Settings	To modify the plotter configuration. See all the available options here

The Floating elements are thought to facilitate the students' view of the plotter and to make the content creation more comfortable.

Element	Description	Icon
Zoom in	To zoom in the plotter
Zoom out	To zoom out the plotter
Anima	To make the elements apparition dynamic. The different objects of the answer will appear one by one in its creation order.
Maximize	To maximize (or minimize) the plotter

The Contextual (elements) options enable the capability of modifying a plotted object appearance.

Element	Description	Icon
Fix label	To fix the algebraic expression of the represented object
Line width	To modify the line width of the represented object
Line style	To modify the line style of the represented object
Line color	To modify the line color of the represented object
Delete	To delete the represented object

The Contextual (labels) enables the capability of representing a function by giving its algebraic expression or to include any text in the plotter. The labels in grey are only available if we are introducing a mathematical expression.

Element	Description	Icon
Bold	To write text in bold
Italic	To write text in italics
Color	To write text in any of the available colors
Big fraction	To add a fraction
Superscript	To add a superscript
Square root	To add a square root
Root	To add a generic root
Number	To add the irrational numbers or
Functions	To add any of the available functions (, , , …)
Delete	To delete the written text or formulas

The validation options field allows to define us how we want to evaluate the student's answer. This section is divided into two sections explained below.

The Elements subsection is thought to select the elements in the answer to be evaluated. By default, all the elements will be taken into account and they will have to match the student answer to be graded correctly.

On the other hand, it's also possible to distribute the grade among those selected elements in case we want to consider partial grading.

The Criteria subsection is thought to set the amount of error allowed between the student answer and the correct answer. Moreover, it's also possible to consider some additional properties explained below.

• Prohibit superfluous elements in the student answer: There can't be more elements in the student answer than in the correct answer.

• Match color: The elements in the student answer must have the same color as in the correct answer.

• Match line type: The elements in the student answer must have the same line type as in the correct answer.

Imagine we want to create a question asking to draw, given the line , its perpendicular line through the point . To do so, we have to start defining the initial content. You can use the line icon or introduce its algebraic expression.

Once we have defined the initial content, we have to move on to the Correct answer field and define the perpendicular line.

Then, we need to define which elements do we want the students to use to provide an answer. As they have to draw a line, we may be only interested in keeping the line icons and the expression option.

Finally, we have to define the validation properties which we want to take into account to grade the students answer correctly. We will only validate the answer if it matches the perpendicular line.

We can preview the question by clicking the Test the question. Thus, we can verify if it's working as we expected.