Global context: Scientific and technical innovation
Objectives:
finding the axis of symmetry and vertex of a quadratic function
expressing a quadratic function in three different forms: standard, factorized, and vertex
finding a quadratic function given three distinct points on its graph
finding a function to model a real-life parabola
understanding how many unique points define an object in a given dimension of space
Inquiry questions:
what shape is the graph of quadratic function?
how do the parameters of a quadratic function affect the shape of its graph
How can you express a quadratic function in three different ways?
What are the advantages and disadvantages of the different forms of a quadratic function?
What makes one quadratic form better than another?
Approaches to Learning: Critical Thinking
Apply existing knowledge to generate new ideas or processes
Statement of Inquiry:
Representing patterns with equivalent forms can lead to better systems, models, and methods.