AQR.MATH.3.C
Determine or analyze an appropriate growth or decay model for problem situations, including linear, exponential, and logistic functions.
Advanced Quantitative Reasoning · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
growth modeldecay modelproblem situationslinear functionsexponential functionslogistic functions
Skills
- determine (appropriate growth or decay model for problem situations) #dok2
- analyze (appropriate growth or decay model for problem situations) #dok3
- differentiate (between linear, exponential, and logistic functions in applied contexts) #dok2
- apply (growth or decay models to real-world problem situations) #dok3
Learning Targets
- I can identify the characteristics of linear, exponential, and logistic functions. #dok1
- I can distinguish between growth and decay situations in real-world contexts. #dok2
- I can select an appropriate growth or decay model for a given problem. #dok2
- I can analyze and justify my choice of growth or decay model in a real-world scenario. #dok3
- I can apply the selected model to solve real-world problems involving change over time. #dok3
Big Ideas
- Different types of growth and decay models (linear, exponential, logistic) are used to represent real-world situations involving change over time.
- Choosing the appropriate mathematical model allows for accurate interpretation and prediction of real-world problems.
Essential Questions
- How do I determine which growth or decay model best fits a real-world situation?
- What are the key differences between linear, exponential, and logistic models?
- How do specific characteristics of a problem situation influence the choice of model?
- In what ways can applying the wrong model affect predictions and decisions?
- Why is it important to justify the selection of a particular growth or decay model?