The student is below proficiency in HSF-LE.A.1 because the student is unable to distinguish between linear and exponential situations.
HSF-LE.A.1: Distinguish between situations that can be modeled with linear functions and with exponential functions.
1. CCSS Alignment
The student approaches proficiency in HSF-LE.A.2 by successfully creating explicit linear equations. There is no evidence of continuous or discrete understanding.
HSF-LE.A.2: Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).
2. Comprehension & Application
SMP.7: Look for and make use of structure.
Because the student does not attend to the details of a graph, the graphs do not provide meaningful information and could create some misconceptions. The student does seem to recognize some structure in the tables to help create the same explicit equation.
The student’s reasoning about percent is incorrect. The student used a ratio to create a common difference.