Lesson Plan

Construct a linear function from two input-output pairs using the slope formula and point-slope reasoning

Construct an exponential function from two input-output pairs by finding the common ratio and solving for the initial value

Read a table of values and determine whether the data represent a linear or exponential relationship

Write the equation of a linear or exponential function given a verbal description of constant additive or multiplicative change

Construct linear and exponential functions from a graph by identifying key features (slope, y-intercept, growth factor)

Connect arithmetic sequences to linear functions and geometric sequences to exponential functions, translating between sequence notation and function notation

HSF.LE.A.2

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).