8adv.MATH.9.D
Graph exponential functions that model growth and decay and identify key features, including y-intercept and asymptote, in mathematical and real-world problems.
Grade 8 (Advanced) · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
exponential functionsgrowthdecaykey featuresy-interceptasymptotemathematical problemsreal-world problems
Skills
- graph (exponential functions that model growth and decay) #dok2
- identify (key features of exponential functions, including y-intercept and asymptote) #dok1
- analyze (graphs of exponential functions in the context of mathematical and real-world problems) #dok2
- distinguish (between models of exponential growth and decay) #dok2
Learning Targets
- I can graph exponential functions that model growth and decay. #dok2
- I can identify the y-intercept of an exponential function from its graph. #dok1
- I can identify the asymptote of an exponential function from its graph. #dok1
- I can distinguish between exponential growth and decay from a given function or graph. #dok2
- I can analyze exponential graphs to interpret real-world situations such as population growth or radioactive decay. #dok2
Big Ideas
- Exponential functions can model both increasing and decreasing real-world scenarios through growth and decay.
- Key features of exponential graphs, such as the y-intercept and asymptote, help interpret and understand their behavior and significance in context.
Essential Questions
- How can you distinguish between exponential growth and exponential decay on a graph?
- Why are the y-intercept and asymptote important features of exponential functions?
- What real-world phenomena can be modeled by exponential functions, and how do their graphs reflect those situations?
- How does changing the equation of an exponential function affect its graph and key features?
- In what ways can understanding the key features of exponential graphs help solve real-world problems?