Graphing Exponential and Logarithmic Functions

• Explanation

  • Notes | Annotated

  • 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)

  • Worksheet #1

• Explanation

  • Notes | Annotated

  • 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)

  • e (Euler's Number) - Numberphile video

• Practice Problems

  • Khan exercise: Writing functions with exponential decay (Algebra 1)

  • Worksheet #1 - use desmos.com as your calculator

• Explanation

  • Notes | Annotated

  • US Debt Clock

  • CA Debt Clock

  • 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)

  • Worksheet #1

• Explanation

  • Notes

• Practice Problems

  • Desmos Activity: Graph Exponential Functions by Translation (teacher use only)

  • Worksheet #1

• Explanation

  • Notes 

  • 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)

  • Worksheet #1

• Explanation:

  • Notes | Annotated | Video

  • 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)

  • Worksheet #1

• Explanation:

  • Notes | Annotated | Video

• Practice Problems:

  • Worksheet #1 | Answers

• Explanation

  • Notes | Annotated | Video

  • 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)

  • Worksheet #1

Modified:

• Worksheet #1 (no 7.4, 7.5, or 7.8)

• Worksheet #2 (no 7.4, 7.5, or 7.8)

All lessons:

• Worksheet #1

• Worksheet #2