MMA.MATH.5.A
Use proportionality and inverse variation to describe physical laws such as Hook's Law, Newton's Second Law of Motion, and Boyle's Law; Page 18 October 2015 Update.
Mathematical Models with Applications · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
proportionalityinverse variationphysical lawsHook's LawNewton's Second Law of MotionBoyle's Law
Skills
- describe (proportionality in physical laws) #dok2
- describe (inverse variation in physical laws) #dok2
- apply (proportionality and inverse variation to physics contexts) #dok3
- model (real-world situations using proportional and inverse relationships) #dok3
- identify (types of mathematical relationships in scientific laws) #dok1
Learning Targets
- I can recall and identify the definitions of proportionality and inverse variation. #dok1
- I can identify whether a physical law represents proportionality or inverse variation. #dok1
- I can describe how proportionality is represented in Hook's Law, Newton's Second Law, and Boyle's Law. #dok2
- I can explain the role of inverse variation in physical laws such as Boyle's Law. #dok2
- I can apply mathematical models of proportionality and inverse variation to solve problems in physical science. #dok3
- I can model given physical scenarios using equations that show proportionality or inverse variation. #dok3
Big Ideas
- Many physical laws can be described using mathematical relationships of proportionality and inverse variation.
- Understanding the mathematical forms of physical laws enables students to model and predict real-world phenomena in science.
Essential Questions
- What is the difference between proportionality and inverse variation?
- How do physical laws such as Hook's Law, Newton's Second Law, and Boyle's Law use mathematical relationships?
- Why do scientists use equations to describe the behavior of physical systems?
- In what real-world situations do you see proportionality or inverse variation in action?
- How can you recognize and model relationships as proportional or inversely proportional in other contexts?