MMA.MATH.5.C

Use quadratic functions to model motion.

Mathematical Models with Applications · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

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Vocabulary
quadratic functionsmotionmodel
Skills
  • identify (situations involving motion suitable for quadratic models) #dok1
  • represent (motion using quadratic functions) #dok2
  • analyze (characteristics of quadratic models of motion) #dok2
  • interpret (real-world meaning of parameters in quadratic motion models) #dok3
  • construct (a quadratic function to model a described motion scenario) #dok3
Learning Targets
  • I can recognize when motion can be modeled by a quadratic function. #dok1
  • I can identify key features of quadratic functions related to motion, such as vertex, axis of symmetry, and intercepts. #dok1
  • I can represent a motion scenario using a quadratic equation or function. #dok2
  • I can analyze the properties of a quadratic model, including maximum or minimum values and direction of opening, to interpret aspects of motion. #dok2
  • I can construct a quadratic function based on information about a motion scenario. #dok3
  • I can interpret real-world motion parameters, such as initial velocity or height, from a quadratic model. #dok3
Big Ideas
  • Quadratic functions can be used to accurately model and predict various types of motion, particularly that which follows a parabolic path.
  • Understanding the features of quadratic functions enables interpretation and analysis of real-life motion scenarios, such as projectile trajectories.
Essential Questions
  • How can quadratic functions be used to model different types of motion?
  • What real-world situations involve motion that can be described using quadratic equations?
  • How does changing the parameters of a quadratic function affect the modeled motion?
  • What do important features of quadratic functions (vertex, axis of symmetry, intercepts) tell us about an object's motion?
  • Why is it important to understand the limitations and assumptions of using quadratic models for motion?