2) Three waves are described by the following equations: Y1 = (0.1m) sin[(2лs¯¹)t + (3πm¯¹)x] y2 = (-0.2m) sin[(3πs¯¹)t - (2πm-1)x] y3 = (0.3m) sin[(4πs¯¹)t − (4πm¯¹)x] Rank the wavelengths of these waves from largest to smallest. Scientific Abilities Is able to extract the information from representations correctly Missing No visible attempt is made to extract information from the problem text. Inadequate Information that is extracted contains errors such as labeling quantities incorrectly, mixing up initial and final states, choosing a wrong system, etc. Physical quantities have no subscripts (when those are needed). Needs Improvement Some of the information is extracted correctly, but not all of the information. For example, physical quantities are represented with numbers there are no units. Or directions are missing. Subscripts for physical quantities are either Adequate All necessary information has been extracted correctly and written in a comprehensible way. Objects, systems, physical quantities, initial and final states, etc. are identified correctly and units are correct. Physical quantities have consistent subscripts. Rank the magnitudes of the waves at t = smallest. Scientific Abilities Is able to represent a situation with mathematics Missing No representation is constructed. Inadequate 0.5s and x = 0.5m from largest to Mathematical representation lacks the algebraic part (the student plugged the Needs Improvement Mathematical representation is represented symbolically (not just using numbers) and numbers right away) has the applies appropriate physics wrong concepts being applied, or signs are incorrect. concepts to the situation. No evaluation of the math in the problem is present. Adequate Mathematical representation is represented symbolically (not just using numbers) and applies appropriate physics concepts to the situation. The mathematical representation is evaluated for its appropriateness and consistency. Do all of these waves have the same speed? Rank the speeds of the waves from largest to smallest. Scientific Abilities Can relate the properties of a wave to one another Missing No attempt is made to relate the different properties of a wave Inadequate Different properties of a wave such as speed, wavelength, and frequency are related to one another incorrectly Needs Improvement Different properties of a wave such as a speed, wavelength, and frequency are related to one another correctly but these relations are not fully explained or represented Adequate The different properties of a wave are correctly related to one another with a complete and correct explanation of how this was done