This lesson is a simple introduction to quadratic relationships through investigation of the relationship between the length of the side of a rectangle and it's area. It is intended to be used in a flipped or blended classroom environment.
F.IF.B.4-1 - For a linear, exponential, or quadratic function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; and end behavior. *(Modeling Standard)
F.IF.B.5-1 - Relate the domain of a linear, exponential, or quadratic function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function. *(Modeling Standard)
F.IF.C.7 - Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. *(Modeling Standard)
F.BF.A.1 - Write a function that describes a relationship between two quantities. *(Modeling Standard)