quadratic function and an algebraic expression for another, say which has the larger maximum. Domain: Building Functions Cluster: Build a function that models a relationship between two quantities Standards Key ideas and Details Intervention Supports F.BF.1b Write a function that describes a relationship ML: Students write equations based on patterns. QC: C.1.d, E.2.a between two quantities.*(Modeling standard) b. Combine standard function types using arithmetic operations. For example, build a ML: Students write equations based on patterns. function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model. V: A video showing how to write equations based on sequences. Cluster: Build new functions from existing functions Standards Key ideas and Details Intervention Supports F.BF.3 ML: A guided lesson on transformations. Identify the effect on the graph of replacing f(x) QC: E.2.b, E.3.b by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment R: Explains the process of finding the inverse of a function. with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them. F.BF. 4a Find the inverse functions QC: G.2.b, a. Solve an equation of the form f(x) = c for a H.2.b, H.2.d simple function f that has an inverse and write an expression for the inverse. For example: f(x) = 2x3 or f(x) = (x+1)/(x-1) for x ≠ 1. Domain: Linear and Exponential Models* Cluster: Construct and compare linear, quadratic, and exponential models and solve problems Standards Key ideas and Details Intervention Supports
quadratic function and an algebraic expression for another, say which has the larger maximum. Domain: Building Functions Cluster: Build a function that models a relationship between two quantities Standards Key ideas and Details Intervention Supports F.BF.1b QC: C.1.d, E.2.a Write a function that describes a relationship between two quantities.*(Modeling standard) b. Combine standard function types using arithmetic operations. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model. ML: Students write equations based on patterns. ML: Students write equations based on patterns. V: A video showing how to write equations based on sequences. Cluster: Build new functions from existing functions Standards Key ideas and Details Intervention Supports F.BF.3 QC: E.2.b, E.3.b F.BF. 4a QC: G.2.b, H.2.b, H.2.d Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them. Find the inverse functions a. Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse. For example: f(x) = 2x3 or f(x) = (x+1)/(x-1) for x ≠ 1. ML: A guided lesson on transformations. R: Explains the process of finding the inverse of a function. Domain: Linear and Exponential Models* Cluster: Construct and compare linear, quadratic, and exponential models and solve problems Standards Key ideas and Details Intervention Supports