Grasple has multiple check methods using the Computer Algebra System (CAS) which can be used within the editor to indicate when the answer of a student should be marked correct/incorrect. A full list of current options can be found in this article.
This article covers the Exact Form check. There are three sections in this article:
- When to use the Exact Form check?
- Example cases
- How does the Exact Form check work?
When to use the Exact Form check?
If you want to check whether two expressions are mathematically equal AND have the same exact form, you should use this check. A simple example would be: "2x+3" is considered to have the same exact form as "3+2x" but not as "x+x+3".
You can apply this method to:
- exact numbers (e.g. 3 or pi)
- formulas (e.g. 3x+4)
- vectors and matrices
- unordered collections/lists
If the form of the expression is not important, use the Algebraically Equivalent check.
This method has the same logic as the Algebraically Equivalent check and in addition checks whether the exact form is the same.
How does the Exact Form check work?
For the Exact Form check the CAS verifies whether parsing the left-hand side and the right-hand side result in the exact same parse-tree. In this process the check takes into account the associative properties of addition and multiplication, so the ordering of the terms are not considered to be important for these operators.
Do you want to know more about this check, whether you should use it for your exercise or any of the other checks? Please let us know via the chat icon in the right bottom of the screen!