ALGRZ.MATH.2.D
Determine a function that models real-world data and mathematical contexts using finite differences such as the age of a tree and its circumference, figurative numbers, average velocity, and average acceleration.
Algebraic Reasoning · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
functionreal-world datamathematical contextsfinite differencesage of a treecircumferencefigurative numbersaverage velocityaverage acceleration
Skills
- determine (a function that models real-world data using finite differences) #dok2
- determine (a function that models mathematical contexts using finite differences) #dok2
- analyze (real-world data using finite differences to identify possible function models) #dok3
- interpret (attributes of situations such as tree age, circumference, figurative numbers, velocity, and acceleration using function modeling) #dok3
Learning Targets
- I can identify and collect real-world data and mathematical contexts relevant to a situation. #dok1
- I can calculate finite differences from tables of data. #dok1
- I can determine which type of function (linear, quadratic, etc.) best fits a set of data using finite differences. #dok2
- I can determine a function that models real-world data using finite differences. #dok2
- I can analyze data from real-world situations to recognize patterns that can be expressed as functions. #dok3
- I can interpret the meaning of a function model in the context of real-world situations such as tree growth or velocity changes. #dok3
Big Ideas
- Finite differences serve as a powerful tool for uncovering the underlying functions that model real-world situations and data.
- Real-world scenarios, from biology to physics, can be represented and explored mathematically through function models constructed using finite differences.
Essential Questions
- How can we use finite differences to determine the function that best fits a set of real-world data?
- What types of real-world situations can be modeled using functions identified by finite differences?
- Why are finite differences effective in distinguishing between types of functions such as linear, quadratic, or exponential?
- What information does a function model provide about a real-world scenario like the growth of a tree or a moving object?
- How do we interpret a model's accuracy and usefulness in the context of real-world situations?