Algebra I Unit 8

Big Idea:

Write, graph, and interpret exponential functions by analyzing growth and decay functions and identifying key features of graphs.

Student Expectations:

Priority TEKS

A.9(C) [Readiness] write exponential functions in the form f(x) = ab^x (where b is a rational number) to describe problems arising from mathematical and real-world situations, including growth and decay

Focus TEKS

A.9(A) [Supporting] determine the domain and range of exponential functions of the form f(x) = ab^x and represent the domain and range using inequalities

A.9(B) [Supporting] interpret the meaning of the values of a and b in exponential functions of the form f(x) = ab^x in real-world problems

A.9(D) [Readiness] graph exponential functions that model growth and decay and identify key features, including y-intercept and asymptote, in mathematical and real-world problems

A.9(E) [Supporting] write, using technology, exponential functions that provide a reasonable fit to data and make predictions for real-world problems

Student Learning Targets:

• I will graph and analyze exponential growth and decay functions
• I will write exponential functions to represent growth and decay functions
• I will describe characteristics of exponential growth and decay functions
• I will identify and describe key features of graphs of exponential functions
• I will compare graphs of exponential and linear functions
• I will create an exponential function to model compound interest and population data

Essential Questions:

• How do exponential functions compare to linear functions?
• How are exponential functions useful in looking at data in the real world?

Extra Information:

Adopted Textbook: McGraw-Hill Algebra I

District Grading Policy

Texas Gateway Online Resource Center