Graphing Exponential and Logarithmic Functions
7.1 Creating and Using Exponential Functions
Explanation
Khan video: Modeling ticket fines with exponential function (Algebra 1)
Khan video: Constructing exponential models: half-life (with exponent of t/n) (Algebra 2)
Khan video: Writing exponential functions from tables (Algebra 1)
Khan video: Analyzing graphs of exponential functions (Algebra 1)
Khan video: Interpreting time in exponential models (Algebra 2)
Practice Problems
Desmos Activity: Avi and Benita's Repair Shop (Teacher use only)
Khan Exercise: Exponential functions from tables & graphs (Algebra 1)
Khan exercise: Interpret time in exponential models (Algebra 2)
7.2 Exponential Functions and Rates (including compound interest)
Explanation
Website: U.S. and World Population Clock
Khan video: Writing functions with exponential decay (Algebra 1)
Khan video: e and compound interest (Algebra 2)
Khan video: e as a limit (Algebra 2)
Practice Problems
Khan exercise: Writing functions with exponential decay (Algebra 1)
Worksheet #1 - use desmos.com as your calculator
7.3 Exponential Growth and Decay Functions
Explanation
Khan video: Intro to exponential functions
Khan video: Exponential function graph (Algebra 1)
Khan video: Graphs of exponential growth (Algebra 1)
Khan video: Exponential decay intro (Algebra 1)
Khan video: Initial value & common ratio of exponential functions (Algebra 1)
Khan video: Graphing exponential growth & decay (Algebra 1)
Khan video: Analyzing graphs of exponential functions (Algebra 1)
Khan video: Interpreting change in exponential models (Algebra 2)
Khan video: Constructing exponential models (Algebra 2)
Khan video: Constructing exponential models: half life (Algebra 2)
Khan video: Constructing exponential models: percent change (Algebra 2)
Practice Problems
Khan exercise: Graphs of exponential growth (Algebra 1)
Khan exercise: Graphing exponential growth & decay (Algebra 1)
Khan exercise: Exponential growth vs. decay (Algebra 1)
Khan exercise: Interpret change in exponential models (Algebra 2)
Khan exercise: Construct exponential models (Algebra 2)
Desmos Activity: Growth and Decay Exponential Functions (teacher use only)
Desmos Activity: Function Family Card Sort (teacher use only)
7.4 Translating Exponential Functions
Explanation
Practice Problems
Desmos Activity: Graph Exponential Functions by Translation (teacher use only)
7.5 Reflecting Exponential Functions
Explanation
Khan video: Transforming exponential graphs (Algebra 2)
Khan video: Transforming exponential graphs (example 2) (Algebra 2)
Khan video: Graphing exponential functions (Algebra 2)
Practice Problems
Khan Exercise: Graphs of exponential functions (Algebra 2)
Desmos Activity: Marbleslides: Exponential (teacher use only)
7.6 Simple Logarithmic Expressions and Equations
Explanation:
Khan Video: Intro to logarithms (Algebra 2)
Khan article: Intro to Logarithms (Algebra 2)
Khan video: Relationship between exponentials & logarithms (Algebra 2)
Practice Problems:
Khan Exercise: Evaluate logarithms (Algebra 2)
IXL Algebra 2: S.1 Convert between exponential and logarithmic form: rational bases (at a score of 78 there are two blanks)
IXL Algebra 2: S.2 Convert between natural exponential and logarithmic form (at a score of 78 there are two blanks)
IXL Algebra 2: S.3 Convert between exponential and logarithmic form: all bases
IXL Algebra 2: S.4 Evaluate logarithms (at a score of 75 and above includes fraction base, negative exponents, and fractional exponents)
7.7 Inverse function of Exponential and Logarithmic Functions
Explanation:
Practice Problems:
7.8 Logarithmic Functions
Explanation
Khan video: Graphical relationship between 2ˣ and log₂(x) (Algebra 2)
Khan video: Graphing logarithmic functions (example 1) (Algebra 2)
Khan video: Graphing logarithmic functions (example 2) (Algebra 2)
Khan video: Relationship between exponentials & logarithms: graphs (Algebra 2)
Practice Problems
Desmos Activity: Graphing Logs (teacher use only)
Desmos Activity: Function Family Card Sort - with log functions (teacher use only)
Khan Exercise: Relationship between exponentials & logarithms (includes re-writing log. and exp. form) (Algebra 2)
Khan Exercise: Graphs of logarithmic functions (Algebra 2)
Review