PRECAL.MATH.3.H
Use the characteristics of an ellipse to write the equation of an ellipse with center (h, k).
Precalculus · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
characteristicsellipseequationcenter
Skills
- identify (characteristics of an ellipse) #dok1
- write (the equation of an ellipse with center (h, k) given its characteristics) #dok2
- analyze (how the characteristics affect the equation of an ellipse) #dok2
- relate (geometric features to algebraic equation for ellipses) #dok2
Learning Targets
- I can identify the key characteristics of an ellipse such as center, axes lengths, and orientation. #dok1
- I can write the equation of an ellipse when given its characteristics and center (h, k). #dok2
- I can explain how changes in the ellipse's characteristics affect its equation and graph. #dok2
- I can analyze and connect the geometric features of ellipses to their algebraic equations. #dok2
Big Ideas
- The characteristics of an ellipse determine its algebraic equation.
- Knowing the center, axes lengths, and orientation allows us to write precise equations for ellipses.
Essential Questions
- What information is needed to write the equation of an ellipse?
- How do the center and axes of an ellipse affect its equation?
- How can you express the equation of an ellipse given its geometric characteristics?
- How does changing the location of the center (h, k) affect the equation and graph of an ellipse?
- Why is it important to understand the relationship between geometric features and equations of ellipses?