ALG2.MATH.4.A
Write the quadratic function given three specified points in the plane.
Algebra II · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
quadratic functionthree specified pointsplane
Skills
- write (a quadratic function given three specified points in the plane) #dok2
- analyze (the relationship between points and the coefficients of a quadratic function) #dok2
- calculate (coefficients for a quadratic function using systems of equations) #dok3
Learning Targets
- I can identify three specified points in the plane. #dok1
- I can recognize the general form of a quadratic function. #dok1
- I can write a quadratic function that passes through three given points in the plane. #dok2
- I can analyze how points determine the shape of a quadratic function. #dok2
- I can solve a system of equations to find the coefficients of a quadratic function. #dok3
- I can justify my process for determining a quadratic function from three points. #dok3
Big Ideas
- A unique quadratic function can be defined by three non-collinear points in the plane.
- Writing a quadratic function from points connects equations, graphs, and real-world problem-solving.
Essential Questions
- How can three points determine a unique quadratic function?
- What steps are required to write the equation of a quadratic function given three points?
- How can you use systems of equations to find the coefficients of a quadratic function?
- Why is it important for the three points to be non-collinear when writing a quadratic function from points?
- What real-world scenarios require finding a quadratic function from given data points?