A1.IF.C.3 Compare the properties of two Not Not applicable. Not applicable. functions different applicable. representations. new functions from existing functions (limited Build new functions from existing functions. to linear, quadratic, and exponential). A1.BF.A.1 Analyze the effects of translations and Not Not applicable. Not applicable. changes on functions. applicable. Construct and compare linear, quadratic, and Construct and compare linear, quadratic, and exponential models, and solve problems. exponential models and problems. A1.LQE.A.1 Distinguish between situations that EE.F-LE.1-3 a simple linear function such as Initial Precursor: can be modeled with linear or y = mx to show that these functions Arrange objects in pairs. exponential functions. increase by equal amounts over Order objects. Determine that linear equal intervals. Distal Precursor: functions change by equal Explain x-coordinate. differences over equal Explain y-coordinate. intervals. Explain coordinate (ordered pairs) Recognize exponential Proximal Precursor: situations in which a quantity Recognize covariation. grows or decays by a constant Recognize direction of covariation. percent rate per unit interval. Determine slope based on coordinate pairs. Target: Explain average rate of change. Determine rate of change of linear functions. Successor: Recognize intervals where function is increasing. Recognize intervals where function is decreasing. Estimate average rate of change given graph. A1.LQE.A.2 Describe, graphs and tables, that Select the appropriate EE.F-BF.1 a quantity increasing exponentially representation (first eventually exceeds a quantity given a situation increasing linearly or quadratically. rate of change.
A1.IF.C.3 Compare the properties of two functions different representations. Not applicable. Not applicable. Not applicable. new functions from existing functions (limited to linear, quadratic, and exponential). Build new functions from existing functions. A1.BF.A.1 Analyze the effects of translations and changes on functions. Not applicable. Not applicable. Not applicable. Construct and compare linear, quadratic, and exponential models and problems. Construct and compare linear, quadratic, and exponential models, and solve problems. A1.LQE.A.1 Distinguish between situations that can be modeled with linear or exponential functions. Determine that linear functions change by equal differences over equal intervals. Recognize exponential situations in which a quantity grows or decays by a constant percent rate per unit interval. EE.F-LE.1-3 a simple linear function such as y = mx to show that these functions increase by equal amounts over equal intervals. Initial Precursor: Arrange objects in pairs. Order objects. Distal Precursor: Explain x-coordinate. Explain y-coordinate. Explain coordinate (ordered pairs) Proximal Precursor: Recognize covariation. Recognize direction of covariation. Determine slope based on coordinate pairs. Target: Explain average rate of change. Determine rate of change of linear functions. Successor: Recognize intervals where function is increasing. Recognize intervals where function is decreasing. Estimate average rate of change given graph. A1.LQE.A.2 Describe, graphs and tables, that a quantity increasing exponentially eventually exceeds a quantity increasing linearly or quadratically. EE.F-BF.1 Select the appropriate representation (first given a situation rate of change.