The student is approaching proficiency in HSF-LE.A.2 with writing recursive and explicit equations. The notation for recursive equations needs work. Explicit equations are correct.
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).
The student has correctly worked with the parameters in the recursive and explicit equations.
HSF-LE.B.5: Interpret the parameters in a linear or exponential function in terms of a context.
There is no evidence for standard HSF-LE.A.3 in the work since the student didn’t discuss why Computafest’s plan is better.
HSF-LE.A.3: Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.
Comprehension & Application
SMP.7: Look for and make use of structure.
The student understands the structure of explicit and recursive equations, and is able to create these equations without the support of a table.
1. CCSS Alignment
The student correctly uses the percent change in the explicit and recursive equations.
HSF-LE.A.1c: Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.