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                      Validation options

                      Reading time: 3min

                      As you have seen in the input options section, it is possible to filter the shown options from the beginning, based on an analysis of the correct answer. Thus, only the most relevant options will appear, clearing the window of all the possibilities that the tool offers that may not be of interest.      
                          
                      However, you can always select the Show all options box if you want to take a look at all the entry possibilities. From here, if they are all displayed, the window is divided into four sections.

                      Comparison with student answer

                      Once you have decided what format you expect the student answer to be in, you have a few options for how their response should be compared to the correct one.     
                          
                      You can see a detailed description of each option in the table below.

                      Comparison with student answer criteria

                      Literally equal This removes all mathematical interpretations from the comparison. The student's answer is only correct if it matches the correct answer exactly. For example, if the correct answer is 4, but the student writes 4.0, it will not be counted. This criterion is rarely recommended.  
                      Mathematically equal This is the default comparison. It will detect if what the student has written is mathematically equal to the correct answer. For example, we don't need to worry if the student writes a + b or b + a. You can find three checkboxes below to choose if order and repetition are ignored or not from lists. More details
                        Order and repetition matter in lists: When checked, the elements in the student's answer must be in the same order and appear the same number of times as in the correct answer. More details
                      Compare as lists/sets Repetition matters in lists, but order does not: When checked, the elements in the student's must appear the same number of times as in the correct answer, but not necessarily in the same order. More details
                        Order and repetition don't matter in lists: When checked, order and repetition are ignored from lists. So, if the correct answer is the set {1,5,2}, then {5,5,5,2,1} (for example) would be accepted. More details
                      Equivalent equations This comparison is very similar to the mathematically equal option. Still, it is for the particular case where the answer is an equation (e.g. the student could write y=2x-5, or 2.5=x-y2, or any equivalent form). More details
                      Any answer Anything that the student answers will be counted as correct. This is useful in some cases. More details
                      Grading function Define your own function to decide which answers are accepted and how to grade them. This is an advanced feature. More details

                      Numbers

                      In the Numbers section, we specify the tolerance criteria used to compare the student's answer and the correct answer. These settings apply globally (to the entire question), and they are divided into four. Firstly, you need to choose if you want the answer to be symbolic or not.    
                         
                      If you select this option, any answer expressed with decimal numbers will be graded as incorrect. It must be a combination of operations, fractions, roots, and functions to do so. If it's enabled, it will be the only option available.

                      Otherwise, you can specify the tolerance criteria used to compare the student's answer and the correct answer.    
                         
                      You can choose between the three possible options:

                      Exact answer: This option requires the student's response to be exactly equal to the correct answer.

                      Error margin: This option requires the student's answer strictly within the tolerance interval. You can define this margin as a percent error or an absolute error. It's selected by default at 0,1 percent error.

                      Matching digits: This option requires the student's answer to match the first significant figures or decimal places with the correct answer.

                      Tip

                      You can see more details about the tolerance available options here.

                      Below, you can choose the format in which you want to require the student's answer.   

                      You can choose between the three possible options:

                      Scientific notation: This option requires the student's answer to be expressed in normalized scientific notation.

                      Decimal notation: This option requires the student's answer to be expressed in plain decimal notation.

                      Any notation: This option allows the student's answer to be expressed either in scientific or decimal. It's selected by default.

                      Tip

                      You can see more details about the format available options here.

                      Below, you can define a precision that requires the student's answer. It allows you to check the minimum and the maximum number of significant figures or decimal places the student answer must-have.  

                      Simplification

                      Sometimes it's not just the value of the answer that's important, but also its form. This usually happens when you teach basic algebraic manipulation and want the answer in a particular format. 
                       
                      You can see a detailed description of each option in the table below.

                      Specific property Correct examples Wrong examples
                      Simplified It checks whether the expression cannot be simplified. Includes fractions, powers and roots, polynomials... √x³  √x⁴
                      Expanded It checks whether all operations that can be done are performed 27 1+1
                      Factorized It checks whether an integer or a polynomial is expressed as product of primes 2⁴·3 48
                      Common factors It checks whether the summands of the answer have no common factors 2(2+3+4) 4+6+8
                      Common denominator It checks whether the answer has a single common denominator x+1/x-1 x+1/x-1+x-1/x+1
                      Rationalized It checks whether the expression does not have square (or higher) roots in the denominator. It also checks whether the expression has a pure real denominator (in the case of complex numbers) √2/2 1/√2
                      Minimal radicands It checks whether any present radicands are minimal 2√2 √8
                      Match unit of measure It checks whether the unit of the answer is literally equal to the given one

                      3km, given km

                       

                      3ms-¹, given m/s 
                      ·

                       

                       

                      Tip

                      For a complete and advanced description of all the properties, see assertions.

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