PRECAL.MATH.3.A
Graph a set of parametric equations.
Precalculus · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
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parametric equationssetgraph
Skills
- graph (a set of parametric equations) #dok2
- interpret (relationships between parameter, equations, and graph) #dok2
- analyze (the effect of parameter changes on the graph of parametric equations) #dok3
Learning Targets
- I can identify parametric equations and their components. #dok1
- I can plot points generated by parametric equations. #dok1
- I can graph a set of parametric equations accurately on a coordinate plane. #dok2
- I can interpret how the parameter affects the shape and direction of the graph. #dok2
- I can analyze how changing the parameter impacts the behavior of the graph. #dok3
- I can explain my process and reasoning for graphing parametric equations. #dok3
Big Ideas
- Parametric equations provide a way to represent curves by expressing coordinates as functions of a common parameter.
- Graphing parametric equations allows for the visualization and analysis of complex motions and relations not easily described by rectangular equations.
Essential Questions
- What are parametric equations, and how do they differ from standard (rectangular) equations?
- How does the choice of parameter affect the graph produced by parametric equations?
- What steps are necessary to graph a set of parametric equations accurately?
- In what ways can graphing parametric equations help us understand real-world phenomena?
- How can you interpret and explain the behavior of a graph generated by a set of parametric equations?