PRECAL.MATH.3.G
Make connections between the locus definition of conic sections and their equations in rectangular coordinates.
Precalculus · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
connectionslocus definitionconic sectionsequationsrectangular coordinates
Skills
- make connections (between the locus definition of conic sections and their equations in rectangular coordinates) #dok2
- identify (the locus definition of conic sections) #dok1
- describe (conic sections using locus and equations) #dok2
- translate (between geometric descriptions and algebraic equations of conic sections) #dok3
Learning Targets
- I can identify the different types of conic sections using their locus definitions. #dok1
- I can describe how the locus definition of a conic section relates to its equation. #dok2
- I can make connections between the geometric (locus) definition and the equation of a conic section in rectangular coordinates. #dok2
- I can translate a geometric description of a conic section (locus) into its algebraic equation in rectangular coordinates. #dok3
- I can explain how a conic section’s locus definition determines its algebraic equation. #dok3
Big Ideas
- Conic sections have both geometric (locus) definitions and algebraic equations that are interconnected.
- Understanding the relationships between locus definitions and equations helps identify and graph conic sections in different contexts.
Essential Questions
- What is the locus definition of a conic section?
- How do the geometric properties of a conic section translate into its equation in rectangular coordinates?
- Why is it useful to connect a conic section’s locus definition to its algebraic equation?
- How can you express the equation of a conic section if you are given its geometric description?
- In what real-world situations might you need to use both the locus and equation of a conic section?