View additional examples of sketch questions

Check out these example sketch questions to help elevate your question authoring:

TIP: Check out these additional help topics for more information on sketch questions:

Example: Piecewise functions

Here's how to author a sketch question related to piecewise functions:

NOTE: This example requires the student to graph lines and then use the snipping tools.

  1. Enter this question statement in the Question Text pane of the Question Editor: Plot the piecewise function

  1. Use the Equation Editor to define this function for the question statement:

A piecewise function is defined in the Equation Editor.

  1. Insert a Sketch component and change only the following property:

  • Group plots: Yes

The default sketch student response component properties are used with the group plots setting set to yes.

  1. Click Update to update the Sketch Board with your defined properties.

The Update button is highlighted.

  1. Define the correct answer in the following way:

  • 5a. Use the Draw Line The "Draw Line" icon is 2 points with a single straight line going through them. sketching tool to plot one line with the following points:
    • (0, 2) and (6, 0)
  • 5b. Use the Draw Line The "Draw Line" icon is 2 points with a single straight line going through them. sketching tool to plot a second line with the following points:
    • (-5, 0) and (0, -3)
  • 5c. Use the Snip Left The "Snip Left" icon is a pair of scissors cutting a line to the left of a plotted point. sketching tool and click on the point at (0, 2)
  • 5d. Use the Snip Right The "Snip Right" icon is a pair of scissors cutting a line to the right of a plotted point. sketching tool and click on the point at (0, -3)
  • 5e. Use the Toggle Filled/HollowThe "Toggle Filled/Hollow" icon shows a filled point and a hollow point separated by a bidrectional arrow. sketching tool and click on the point at (0, -3)

The correct answer is defined in the Edit student response component modal.

  1. Click Insert to insert the student response component into your question.

Insert is the second button at the bottom of the Edit student response component modal.

  1. The sketch component is inserted into your question.

The sketch student response component is shown inserted below the question statement in the Question Text pane of the Question Editor.

Example: Supply and demand

Here's how to author a sketch question related to supply and demand:

NOTE: This example requires the student to click-and-drag a curve and point on the Sketch Board.

  1. Enter this question statement in the Question Text pane of the Question Editor: In the supply/demand graph below, demonstrate what will happen should the supply decrease by 15 at each price.

  1. Insert a Sketch component and change the following properties:

  • Axes: 0, 50 ,0, 10
  • Tickmarks: 5, 2, 5, 2

The axes and tickmarks fields are updated for this example.

  1. Click Update to update the Sketch Board with your defined properties.

The update button is highlighted in the edit student response component modal.

  1. Define the correct answer in the following way:

  • 4a. Use the Draw Three-Point Parabola Segment The "Draw Three-Point Parabola Segment" icon is a parabola segment with three points. sketching tool to plot one curve with the following points:
    • (5, 9), (30, 4), and (50, 2)
  • 4b. Use the Switch Pre-Drawn sketching tool and select the curve you just plotted in 4a to make it a background curve
  • 4c. Use the Draw Three-Point Parabola Segment The "Draw Three-Point Parabola Segment" icon is a parabola segment with three points. sketching tool to plot a second curve with the following points:
    • (20, 2), (45, 7), and (50, 9)
  • 4d. Use the Switch Pre-Drawn sketching tool and click-and-drag the curve you just plotted in 4c so that the curve now rests at the following points:
    • (5, 2), (30, 7), and (35, 9)
  • 4e. Deselect the Switch Pre-Drawn sketching tool
  • 4f. Use the Plot Dropline Point sketching tool to plot the following point (where the first two original curves from 4a and 4c overlap):
    • Approximately (33, 3.5)
  • 4g. Use the Switch Pre-Drawn sketching tool and click-and-drag the point you just plotted in 4f so that the point now rests where the original curve and relocated curve overlap):
    • Approximately (24, 4.95)

TIP: Hovering your cursor over a plotted point reveals its plot coordinates to two decimal places to support you in the relocation of your plotted curves and points.

The correct answer is plotted on the sketch board.

  1. Click Insert to add the student response component to your question.

Insert is the second button at the bottom of the Edit student response component modal.

  1. The sketch component is inserted into your question.

The sketch student response component is shown inserted below the question statement in the Question Text pane of the Question Editor.

Example: Transformations of functions

Here's how to author a sketch question related to transformations of functions:

NOTE: This example requires the student to use a background curve to reference for their plotted response.

  1. Enter this question statement in the Question Text pane of the Question Editor: Given the graph of below​, graph ​.

  1. Use the Equation Editor to define the two functions and insert them on either side of "below, graph" in the question statement from step 1:

A and B represent the two functions and how they would appear when defined in the equation editor.

TIP: A represents the first function in the question statement and B represents the second function in the question statement. Your final question statement will look like this:

The completed question statement is shown with how the functions fit into it in the Question Text pane.

  1. Insert a Sketch component and insert the following background function:

  • Background functions: Math.pow(x+1,2)-3

NOTE: A background function is a pre-drawn curve that's defined using JavaScript syntax. Check out step 8 of the Author a sketch question help topic for more details on how to include a background function.

The background function cell is highlighted as the only property that needs editing.

  1. Click Update to update the Sketch Board with your defined properties.

The update button is highlighted in the insert student response component modal.

  1. Define the correct answer in the following way:

  • Use the Draw Vertex-Point Parabola The "Draw Vertex-Point Parabola" icon is a parabola with two points. sketching tool to plot a curve line with the following points:
    • (-1, 3) and (0, 2)

The correct answer is plotted on the sketch board.

  1. Click Insert to add the student response component into your question.

Insert is the second button at the bottom of the Edit student response component modal.

  1. The sketch component is inserted into your question.

The sketch student response component is shown inserted below the question statement in the Question Text pane of the Question Editor.

Example: Inequalities

Here's how to author a sketch question related to inequalities:

NOTE: This example requires the student to select a region on the Sketch Board.

  1. Enter this question statement in the Question Text pane of the Question Editor: Graph the region that satisfies the inequalities and .

  1. Use the Equation Editor to define two different inequalities and insert them on either side of "and" in the question statement from step 1:

The two inequalities for the question statement are shown how they'd look when defined in the Equation Editor.

TIP: A represents the first inequality in the question statement and B represents the second inequality in the question statement. Your final question statement will look like this:

The two inequalities are shown in the full question statement in the Question Text pane.

  1. Insert a Sketch component using the default student response component properties.

  1. Define the correct answer in the following way:

  • 4a. Use the Draw Line The "Draw Line" icon is 2 points with a single straight line going through them. sketching tool to plot a line with the following points:
    • (0, 2) and (3, -2)
  • 4b. Click the Toggle Solid/Dashed The "Toggle Solid/Dashed" icon is a solid line and a parallel dashed line separated by a bidirectional arrow.sketching tool and select the line you just plotted in 4a to make it dashed
  •  4c. Use the Draw Line The "Draw Line" icon is 2 points with a single straight line going through them. sketching tool to plot a second line with the following points:
    • (0, -3) and (3, -2)
  • 4d. Click the Choose Region The "Choose Region" icon is a shaded triangular space formed by three intersecting lines. sketching tool and select the region created by the two lines that mostly overlays the negative x-axis

The correct answer is plotted on the sketch board.

  1. Click Insert to add the student response component into your question.

Insert is the second button at the bottom of the Edit student response component modal.

  1. The sketch component is inserted into your question.

The sketch student response component is shown inserted below the question statement in the Question Text pane of the Question Editor.