Words and Graphs - Exercise

The Words and Graphs Concept Builder is comprised of 36 questions. The questions are divided into 12 different question groups. Questions in the same group are rather similar to one another; they each involve the similar verbal statements and graph options. The numbers that are used in the verbal statenents will differ for the questions within the same Questoin Group. The Concept Builder is coded to select at random a question from each Question Group until a student is successful with that group of questions.

There are three difficulty levels which the student can complete in this Concept Builder. Those three difficulty levels are described as follows:
 
  • Apprentice Difficulty Level: Question Groups 1-4; questions avoid the need to calculate the area in order to determine the distance traveled. The numbers used in the verbal statement are the same for all Question Groups. Each time a new question from the Question Group appears, the order in which answer options are presented is randomized.
  • Master Difficulty Level: Question Groups 1-8; questions avoid the need to calculate the area in order to determine the distance traveled. The numbers used in the verbal statements will be the same in each statement but will vary every time a question from the Question Group is presented. 
  • Wizard Difficulty Level: Question Groups 1-12; will include some questions in which the student will need to relate the area under the line to the distance traveled. The two verbal statements in every question will always include a different set of numbers.

The verbal statements used in the questions are shown below; the graph options are also shown. Teachers are encouraged to view the statements and graphs. But we encourage them to actually do the Concept Builder in order to gain a feel for the difficulty of the various tasks.

The Physics Classroom grants teachers and other users the right to print these statements and graphics for private use. Users are also granted the right to copy the text and modify it for their own use. However, this document should not be uploaded to other servers for distribution to and/or display by others. The Physics Classroom website should remain the only website or server from which the document is distributed or displayed. We also provide a PDF that teachers can use under the same conditions. We have included a link to the PDF near the bottom of this page.

 

Words and Graphs

 
NOTE:  This Concept Builder consists of questions that pair two often-confused statements with one another and then ask students to identify the corresponding graph for each. Since there is a good deal of randomization in how the statements are selected, it is difficulty to identify the actual questions that will appear on a student’s screen. So rather than attempt to list the questions below, we’ve listed the statements and the graphics. Teachers are free to create their own “Paired Problems” from the provided statements and graphics. 
 
 
Statement 1
A cart moves with a constant speed of 12 m/s for a time of 3.0 s.
 
A boat moves with a constant speed of 20.0 m/s for a time of 4.0 s.
 
A car moves with a constant speed of 18 m/s for a time of 6.0 s
 
 
 
Statement 2
 
A cart slows down from 12 m/s to a complete stop in a time of 3.0 s.
 
A boat slows down from 20.0 m/s to a complete stop in a time of 4.0 s.
 
A car slows down from 18 m/s to a complete stop in a time of 6.0 s.
 
 
 
Statement 3
 
Starting from rest, a cart speeds up to 12 m/s in a time of 3.0 s.
 
Starting from rest, a boat speeds up to 20.0 m/s in a time of 4.0 s.
 
Starting from rest, a car speeds up to 18 m/s in a time of 6.0 s.
 
 
 
Statement 4
 
Starting from rest, a cart speeds up at a rate of 12 m/s/s for 3.0 s.
 
Starting from rest, a boat speeds up at a rate of 20.0 m/s/s for 4.0 s.
 
Starting from rest, a car speeds up at a rate of 18 m/s/s for 6.0 s.
 
 
 
Statement 5
 
A cart moves with a constant speed, covering 12 m in a time of 3.0 s.
 
A boat moves with a constant speed, covering 20.0 m in a time of 4.0 s.
 
A car moves with a constant speed, covering 18 m in a time of 6.0 s.
 
 
 
Statement 6
 
Starting from rest, a cart speeds up, covering 12 m in a time of 3.0 s.
 
Starting from rest, a boat speeds up, covering 20.0 m in a time of 4.0 s.
 
Starting from rest, a car speeds up, covering 18 m in a time of 6.0 s.
 
 
 
Statement 7
A cart holds its position at 12 m for 3.0 s.
 
A boat holds its position at 20.0 m for 4.0 s.
 
A car holds its position at 18 m for 6.0 s.
 
 
 
Statement 8
 
A cart slows down at a rate of -12 m/s/s to a complete stop in a time of 3.0 s.
 
A boat slows down at a rate of -20.0 m/s/s to a complete stop in a time of 4.0 s.
 
A car slows down at a rate of -18.0 m/s/s to a complete stop in a time of 6.0 s.

 


Here are the images used as answer options:





 



A special thanks to Professor Brian Frank (@brianwfrank) for inspiring this idea.



View:  Questions in PDF Format